Solving Word Problems for Life, Grades 6–8
Solving Word Problems for Life, Grades 6–8
Melony A. Brown
A Teacher Ide...
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Solving Word Problems for Life, Grades 6–8
Solving Word Problems for Life, Grades 6–8
Melony A. Brown
A Teacher Ideas Press Book LIBRARIES UNLIMITED An Imprint of ABC-CLIO, LLC
Copyright © 2010 by Melony A. Brown All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, except for the inclusion of brief quotations in a review or reproducibles, which may be copied for classroom and educational programs only, without prior permission in writing from the publisher. Library of Congress Cataloging-in-Publication Data 14 13 12 11 10 1 2 3 4 5 This book is also available on the World Wide Web as an eBook. Visit www.abc-clio.com for details. ABC-CLIO, LLC 130 Cremona Drive, P.O. Box 1911 Santa Barbara, California 93116-1911 This book is printed on acid-free paper Manufactured in the United States of America Illustrative icons used throughout reprinted with permission. Copyright © Marcelo Caceres Avila / istockphoto.com
Contents
Letter to the Teacher . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . vii NCTM Standards . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ix Reproducible Visual Cue Card . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xi Unit 1: Day 1–Day 16 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 Unit 2: Day 17–Day 32 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 Unit 3: Day 33–Day 48 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 Unit 4: Day 49–Day 64 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 Unit 5: Day 65–Day 80 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41 Unit 6: Day 81–Day 96 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51 Unit 7: Day 97–Day 112 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61 Unit 8: Day 113–Day 128 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71 Unit 9: Day 129–Day 144 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81 Unit 10: Day 145–Day 160 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 91 Unit 11: Day 161–Day 180 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 101 Hard Hat Thinking 1–5. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 113 Units 1–11 Answer Key . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 119 Hard Hat Thinking Answer Key . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 143 Index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 147
Letter to the Teacher
Dear Educator, You have selected an excellent tool to obtain large growth in your students’ math calculation and math reasoning skills! The prep time is minimal because this book is laid out with you in mind. • Each page has two word problems on it—photocopy each page and then cut the paper into two halves. This will give you two days worth of warm-up problems ready for use. The students can store the word problems in pencil pouches that can be kept in a three-ring binder notebook. • The first six daily word problems teach the six basic math skills by introducing the students to visual cues that will be used throughout the book. For a student with learning issues, visuals cues are valuable tools in remembering how to complete the steps of the process. The reproducible Visual Cue Card can be photocopied on brightly colored paper and laminated to keep in their notebooks. Students will be able to refer back to this paper throughout the year to help them remember the visual cues. You, as the teacher, will need to reinforce the visual cues as you go over the answers to each word problem. Reinforcement is the key to growth in attaining and maintaining these skills. • The math skills needed for each problem are indentified by the visual cue(s) below the word problem. These visual cues guide the students into the necessary skills needed for solving the problem. • Use the word problems as a daily warm-up activity in which the students work on the problem independently. There are 180 word problems in this book—one for each day of the school year. As the teacher, you will need to monitor students’ work by initialing it, or they will wait for you to go over the answer. Some students will not try to work the problems for themselves unless you monitor them. • The students should not need more than 5 to 7 minutes to work the problem of the day. If a student needs more than 10 minutes, the student is not working. Likely, he or she is confused about what the problem is asking or is not focused on the task yet.
viii • Letter to the Teacher
• Before going over the answer, you should invite the students to discuss how they solved the problem. Make sure they explain each step of the process rather than just giving the answer. • Each unit is comprised of 15 word problems. Each unit is a mixture of the six basic math skills plus a few more challenging problems. On the sixteenth day, the unit is drawn together with a quiz. The quiz is composed of five word problems from that unit. The intent of the quiz is to see if the student can work the problems independently, for a grade. • Each unit (15 word problems plus quiz) can be taken as a notebook grade or test grade. To make it easier for the students to keep up with the half sheets of paper, pencil pouches (mentioned before) can be purchased and placed in a three-ring binder. The word problems are numbered sequentially so it should be easy to keep them in order to turn them in for a grade. • Hard Hat Thinking—Extra Credit. These are more challenging word problems for those students who want to go beyond the problems worked in class. The visual cues are not provided for these problems. Enjoy this learning tool with your students. The problems were written to be on their level and relate to their life experiences. Reinforce the concepts during the math lessons you teach in class, and watch with amazement at how their skills increase!
NCTM Standards
Solving Word Problems for Life, Grades 6–8 is correlated to the following NCTM standards: • Uses addition, subtraction, multiplication, and division in computation and problem solving with whole numbers, decimals, fractions, and mixed numbers with like and unlike denominators. • Describes orally and in writing, using the appropriate mathematical vocabulary, mathematical concepts and procedures, such as the reasoning involved in solving problems or computing. • Selects and uses appropriate customary and metric units of measure for length, area, volume, capacity, time, temperature, and weight/mass. • Develops and applies formulas for area, perimeter, and volume. • Uses currency in problem solving. • Finds median, mean, mode, and range of a given set of data. • Uses proportion to solve problems. • Finds the perimeter (or circumference) and area of polygons and circles, and the volume and surface area of geometric solids using formulas. • Uses fractions, decimals, and percents interchangeably and recognizes equivalent representations. • Selects and uses appropriate problem-solving strategies to solve single and multiple-step problems. • Solves practical problems using percents (e.g., sales tax, sale price and commission, and discounts). • Compares and orders real numbers (whole numbers, integers, fractions, decimals, and percents).
Reproducible Visual Cue Card
Adding
Subtracting
Multiplying
Dividing
Measuring
Averaging
Unit 1
Day 1–Day 16
2
Link your thinking to tools. The visual cues will help you remember what steps to take!
How do I solve word problems, anyway? Easy . . . link your thinking to tools. The visual cues will help you remember what steps to take!
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
3.00 miles + 1.62 miles + 4.38 miles + 15.25 miles = 24.25 miles
Charles and Wanda wanted to start a new fitness program. If they walked 3 miles on Monday, 1.62 miles on Wednesday, 4.38 miles on Thursday, and 15.25 miles on Saturday, how many miles did they walk this week? “How many” are your key words to know to ADD.
When you use a hammer and nails, you are adding to your existing project. Therefore, the visual picture of a hammer and nails should trigger your mind to ADD. How do I know the problem is about adding? Look for these key words: HOW MANY MORE, ALTOGETHER, SUM TOTAL Example:
ADDING
Name ____________________ Date ____________________
Name ____________________ Date ____________________
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
How do I know the problem is about subtracting? Look for these key words: LESS THAN, DIFFERENCE, HOW MANY LESS Example: Curt wanted to buy a new car. The blue book value of his current car is $13,755. The car that he wants costs $39,679. What is the difference between his trade-in value and the cost of the new car? “Difference” is your key word to know to subtract. $39,679 − $13,755 = $25,924
When you use a screwdriver to take out a screw, you are subtracting or removing a part from an existing project. Therefore, the visual picture of the screwdriver should trigger your mind to SUBTRACT.
SUBTRACTING
SOLVING WORD PROBLEMS FOR LIFE Day 2
SOLVING WORD PROBLEMS FOR LIFE Day 1
3
Link your thinking to tools. The visual cues will help you remember what steps to take! DIVIDING
Link your thinking to tools. The visual cues will help you remember what steps to take!
MULTIPLYING
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
How do I know the problem is about multiplying? Look for these key words: DOUBLE, TRIPLE, INCREASE Example: Ellis Middle School’s enrollment was 2,198 students in 2000. By 2008, the enrollment had tripled. What was the enrollment in 2008? “Tripled” is your key word to know to multiply. 2,198 × 3 = 6,594 students
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
“Divide equally” are your key words to know to divide. $576,631.00 ÷ 6 grandchildren = $96,105.16 each
When you use a saw, you are cutting (or dividing) the wood into pieces. Therefore, the visual picture of a saw should trigger your mind to divide. How do I know the problem is about dividing? Look for these key words: DIVIDED EQUALLY, PARTS, SECTIONS Example: Tanner’s grandfather wanted to divide his inheritance equally among his 6 grandchildren. If his total assets were $576,631, what is the amount each grandchild would receive as an inheritance?
Name ____________________ Date ____________________
Name ____________________ Date ____________________
When you use gears, you are multiplying your efforts to move something. Therefore, the visual picture of gears should trigger your mind to multiply.
SOLVING WORD PROBLEMS FOR LIFE Day 4
SOLVING WORD PROBLEMS FOR LIFE Day 3
4
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
795 ÷ 8 (number of tests) = 99.375
How do I know the problem is about averaging? Look for these key words: AVERAGE, MEAN SCORE Example: The eighth grade math teacher looked at the top scores on the geometry test. They were 107, 98, 95, 101, 98, 100, 99, and 97. What is the average score of those students’ tests? “Average” is your key word to know to find the average. 107 + 98 + 95 + 101 + 98 + 100 + 99 + 97 = 795
AVERAGING
MEASURING
How do I know the problem is about measuring? Look for these key words: LENGTH, WIDTH, HEIGHT, AREA, PERIMETER, VOLUME, HOW LONG Example: The pavement outside Coach Warner’s gym was resurfaced during the summer. He wants to paint Four Square grids for the students to use during PE class. The available space is 10 feet in length and 12 feet in width. What is the area of the available space? “Area” is your key word to know to measure. The area of the available space: 10 feet (length) × 12 feet (width) = 120 square feet
Link your thinking to tools. The visual cues will help you remember what steps to take!
Link your thinking to tools. The visual cues will help you remember what steps to take!
When you use a level, you are attempting to make all the sides as even as possible. Therefore, the visual picture of the level should trigger your mind to level or to average.
Name ____________________ Date ____________________
Name ____________________ Date ____________________
When you use a tape measure, you are measuring distance or the length of something. Therefore, the visual picture of a tape measure should trigger your mind to measure.
SOLVING WORD PROBLEMS FOR LIFE Day 6
SOLVING WORD PROBLEMS FOR LIFE Day 5
5
Jeff had a balance of $583.51 in his checking account. He spent $13.89 for gas, took out $20.00 cash at the ATM, paid $40.50 at the dry cleaners, bought $179.23 worth of groceries, took his family to dinner for $50.17, and purchased a new CD for $18.21. How much money does he have left in his checking account?
In one year, an airline reported 556,777 nonstop flights, 248,586 one-stop layovers, and 188,982 two-stop layovers. How many flights altogether were taken that year?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
Name ____________________ Date ____________________
Name ____________________ Date ____________________
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 8
SOLVING WORD PROBLEMS FOR LIFE Day 7
6
SOLVING WORD PROBLEMS FOR LIFE Day 10 Name ____________________ Date ____________________ Carla sent out 233 wedding invitations. A 44¢ stamp was on both the RSVP envelope and the invitation envelope. How much money did Carla spend on postage for her wedding invitations?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 9
Name ____________________ Date ____________________
At the end of the summer, the Brown brothers counted their profits from their lemonade stand. They earned $47.25. How many cups of lemonade at $0.75/cup did they sell?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
7
For the sports convention, a local deli prepared 256 boxed lunches. Of the participants, 1/4 ordered ham sandwiches and 2/3 ordered chicken salad sandwiches. The remaining participants ordered turkey sandwiches. List the number of participants that ordered each of the three kinds of sandwiches.
Felix’s grandmother is very sick. Felix helps her remember when to take each of her medicines. She is to take her pain medicine every 4 hours and her heart medicine every 8 hours. If Felix gives her the first doses at 7:00 am, what are the next three times she will need to take each medicine?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
Name ____________________ Date ____________________
Name ____________________ Date ____________________
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 12
SOLVING WORD PROBLEMS FOR LIFE Day 11
8
SOLVING WORD PROBLEMS FOR LIFE Day 14 Name ____________________ Date ____________________ Calvin rode his bike several days this week to train for a race. He rode it 12.25 miles on Monday, 15 miles on Tuesday, 10.75 miles on Wednesday, and 26.5 miles on Friday. How many miles did Calvin ride his bike this week?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 13
Name ____________________ Date ____________________
Brad used to weigh 283 pounds and now weighs 209 pounds. His girlfriend, Jan, used to weigh 192 pounds and now weighs 125 pounds. What is the difference in each person’s weight? How many pounds did they lose altogether?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
9
Solve the following word problems. Show your work.
The Williams family rented a room in the conference center for their annual family reunion. If you can seat 12 guests per table, how many tables would you need for 291 guests?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
Name ____________________ Date ____________________
Name ____________________ Date ____________________
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
5. Brad used to weigh 283 pounds and now weighs 209 pounds. His girlfriend, Jan, weighed 192 pounds and now weighs 125 pounds. What is the difference in each person’s weight? How many pounds did they lose altogether?
4. Calvin rode his bike several days this week to train for a race. He rode it 12.25 miles on Monday, 15 miles on Tuesday, 10.75 miles on Wednesday, and 26.5 miles on Friday. How many miles did Calvin ride his bike this week?
3. Which visual cue is used to show multiplying? Why?
2. Jeff had a balance of $583.51 in his checking account. He spent $13.89 for gas, took out $20.00 cash at the ATM, paid $40.50 at the dry cleaners, bought $179.23 worth of groceries, took his family to dinner for $50.17, and purchased a new CD for $18.21. How much money does he have left in his checking account?
1. Carla sent out 233 wedding invitations. A 44¢ stamp was on both the RSVP envelope and the invitation envelope. How much money did Carla spend on postage for her wedding invitations?
SOLVING WORD PROBLEMS FOR LIFE Day 16—Quiz 1
SOLVING WORD PROBLEMS FOR LIFE Day 15
Unit 2
Day 17–Day 32
12
SOLVING WORD PROBLEMS FOR LIFE Day 18 Name ____________________ Date ____________________ Kleya wanted some tropical fish. She found an aquarium that measured 24 inches in length, 18 inches in width, and 12 inches in height. What is the volume of the aquarium?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 17
Name ____________________ Date ____________________
If gas costs $2.87/gallon, how much would it cost to fill up a 25-gallon tank?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
13
Maria’s aunt gave her $15 to buy ice cream for all the kids. Maria ordered a triple scoop of ice cream that cost $3.95. Harry ordered a banana split that cost $4.55. Jorges ordered a milkshake that cost $4.25. What was the total cost of the three desserts? How much change did Maria give back to her aunt?
Davis took out a loan. With interest, he will need to pay back $16,973 over the course of six years. How much is his monthly payment?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
Name ____________________ Date ____________________
Name ____________________ Date ____________________
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 20
SOLVING WORD PROBLEMS FOR LIFE Day 19
14
SOLVING WORD PROBLEMS FOR LIFE Day 22 Name ____________________ Date ____________________ Samantha and her sister, Octavia, were practicing with their fraction flash cards. Their dog dove between, them knocking the cards all over the floor. Put the cards in order from smallest to largest: 6/7, 1/4, 5/8, 1/3, 1/2, 3/4, 1/8, and 2/3.
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 21
Name ____________________ Date ____________________
The new science fiction movie starts at 8:05 pm. The drive to the theater takes 20 minutes. Standing in line for tickets, popcorn, and drinks takes 30 minutes. In order to be seated on time for the movie, what time do you need to leave the house?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
15
Patrick had three books to read before he could even start on his report about the plant kingdom. The first book was 145 pages long. The second book was 60 pages long. The third book was 201 pages long. If he needed to finish reading those books in two weeks, how many pages did Patrick need to read each day?
Nick ate 8 sticky sweet rolls for breakfast that were 150 calories each. How many calories does he have left of his 2,800-calorie daily total?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
Name ____________________ Date ____________________
Name ____________________ Date ____________________
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 24
SOLVING WORD PROBLEMS FOR LIFE Day 23
16
SOLVING WORD PROBLEMS FOR LIFE Day 26 Name ____________________ Date ____________________ On Captain Pete’s pirate ship, there was an outbreak of a stomach virus. Two people contracted it first. Those two gave it to two more each. In turn, those now infected gave it to two more people. How many people are sick? (Hint: draw a chart.)
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 25
Name ____________________ Date ____________________
During the drought, the state rain records indicated a deficit of 37 inches at the end of December. If it then rained 5 1/2 inches in January, 3.75 inches in February, and 6 2/3 inches in March, what would the rain deficit be?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
17
The top five walkers in Mrs. Hinton’s class in the walk-a-thon were: Jack (15 miles), Kate (12 miles), Patrick (10 miles), Billy (7 miles), and Shameka (5 miles). If the two girls earned $4.25/mile and the three boys earned $6.00/mile, how much money did they collect altogether?
Madison earns $15/week in allowance. How many weeks would she have to save her allowance if she wanted to buy a plane ticket for $379 to visit a friend in another state?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
Name ____________________ Date ____________________
Name ____________________ Date ____________________
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 28
SOLVING WORD PROBLEMS FOR LIFE Day 27
18
SOLVING WORD PROBLEMS FOR LIFE Day 30 Name ____________________ Date ____________________ The Bedfords wanted to paint their entertainment room in their basement. The total area of the walls is 1,284 square feet. If a gallon of paint covers 300 square feet, how many gallons of paint will they need to paint this room?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 29
Name ____________________ Date ____________________
The cleaning ladies clean houses in an every-other-week rotation. They clean 13 houses during week one and 19 houses during week two. If there are five weeks during October, how many total houses do they clean in that month?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
19
Solve the following problems. Show your work.
The “Save the Zoo” informational committee expected a big turnout for the panda rally. They set up 25 rows with 20 chairs in each row, but 739 people showed up. How many more rows of 20 chairs do they need to quickly set up?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
Name ____________________ Date ____________________
Name ____________________ Date ____________________
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
5. Kleya wanted some tropical fish. She found an aquarium that measured 24 inches in length, 18 inches in width, and 12 inches in height. What is the volume of the aquarium?
4. Patrick had three books to read before he could even start on his report about the plant kingdom. The first book was 145 pages long. The second book was 60 pages long. The third book was 201 pages long. If he needed to finish reading those books in two weeks, how many pages did Patrick need to read each day?
3. List each of the six visual cues and what they mean.
2. The “Save the Zoo” informational committee expected a big turnout for the panda rally. They set up 25 rows with 20 chairs in each row, but 739 people showed up. How many more rows of 20 chairs do they need to quickly set up?
1. If gas costs $2.87/gallon, how much would it cost to fill up a 25-gallon tank?
SOLVING WORD PROBLEMS FOR LIFE Day 32—Quiz 2
SOLVING WORD PROBLEMS FOR LIFE Day 31
Unit 3
Day 33–Day 48
22
SOLVING WORD PROBLEMS FOR LIFE Day 34 Name ____________________ Date ____________________ Jennie’s parents gave her a budget of $4,000 for her wedding. She spent many hours shopping for the best prices. She spent $1,250 for her gown, $734 for the flowers, $569 for the cake, and $1,772 on the pictures. By how much did she go over her budget?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 33
Name ____________________ Date ____________________
Kelly looks at her paycheck of $2,197.61 for the month and shakes her head. The apartment lease is $1,100.00; the electric bill is $95.72; her car payment is $445.34; and her credit card bill has a $27.00 minimum payment. Her roommate pays the other bills. How much money does she pay in bills this month?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
23
Deborah won a vacation trip for her family. The first-leg flight time is 3 1/2 hours from time of departure to arrival time. She has a layover of 2 1/2 hours. The second-leg flight time is 1 hour and 10 minutes. The first flight leaves at 11:05 am. What time does she arrive at her destination?
Master Jung requires a three-year contract for tae kwon do classes. The three-year cost is $3,300. What is the monthly cost?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
Name ____________________ Date ____________________
Name ____________________ Date ____________________
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 36
SOLVING WORD PROBLEMS FOR LIFE Day 35
24
SOLVING WORD PROBLEMS FOR LIFE Day 38 Name ____________________ Date ____________________ Gail used her ATM card to make a few transactions. Her checking account balance was $320.80. She deposited two checks: $75.33 and $116.52. She withdrew $40.00 with a $2.50 service fee. What is her new balance?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 37
Name ____________________ Date ____________________
The movie theater sold 597 adult tickets at $8.75/ticket, 93 senior citizen tickets at $7.50/ticket, and 431 children’s tickets at $6.25/ticket over the course of the weekend. How much did the theater make in ticket sales?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
25
The Bittell family and the Neal family rented a beach house for their summer vacation. It costs $300.00 per night, plus a weekly cleaning fee of $150.00, a security fee of $60.50, a garbage removal fee of $35.75, and a key fee of $25.00. How much would the cost be for renting the beach house for a full week? How much did each family pay?
Recently, 20 cheerleaders from Crimson Middle School were selected to compete at the state cheerleading finals. During their performance, they made two pyramids identical in size. How many girls were at the base of each pyramid? (Hint: draw the pyramids.)
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
Name ____________________ Date ____________________
Name ____________________ Date ____________________
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 40
SOLVING WORD PROBLEMS FOR LIFE Day 39
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SOLVING WORD PROBLEMS FOR LIFE Day 42 Name ____________________ Date ____________________ Excited about recently getting his driver’s license, Nicholas and his sister Marilyn drove to visit some of their cousins. They get 300 miles per tank of gas. If they drove 2,257 miles, how many tanks of gas did they use?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 41
Name ____________________ Date ____________________
A very wealthy family loved circles, so they had an architect design a swimming pool in the shape of a circle. What would the circumference of the pool be if the radius was 13.25 ft.?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
27
A group of boys in a camping club decided to sell homemade cookies to raise money for their annual father/son campout. Perry sold 236 boxes, Julio sold 317 boxes, Brandon sold 182 boxes, and Jay sold 99 boxes. If their goal was to sell 1,000 boxes, how many boxes kept them from meeting their goal?
Jim loves to ride his motorcycle on the weekends. The first weekend of the month he rode 340 miles, the second weekend he rode 215 miles, the third weekend he rode 409 miles, and the last weekend he was unable to go riding. What is the average number of miles he rode during those three weekends?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
Name ____________________ Date ____________________
Name ____________________ Date ____________________
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 44
SOLVING WORD PROBLEMS FOR LIFE Day 43
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SOLVING WORD PROBLEMS FOR LIFE Day 46 Name ____________________ Date ____________________ Officer Stanley wrote out 13 speeding tickets on Monday, 7 tickets on Tuesday, 12 tickets on Wednesday, and 20 tickets on Thursday. If each ticket’s fine is $125, how much money will the county earn in speeding fines?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 45
Name ____________________ Date ____________________
The Department of Transportation determined an average of 6,953 vehicles crossed the Hudson Bridge each day of the workweek. On Saturdays and Sundays, an average of 1,008 vehicles crossed the bridge. How many vehicles crossed Hudson Bridge in a year?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
29
Solve the following word problems. Show your work.
The total prize money for the upcoming bike race is $400. The first-place winner gets one-half of the total prize money. The second-place winner gets one-half of the remaining money. Third and fourth place split the remaining money. How much money did each of the winners receive?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
Name ____________________ Date ____________________
Name ____________________ Date ____________________
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
5. Jim loves to ride his motorcycle on the weekends. The first weekend of the month he rode 340 miles, the second weekend he rode 215 miles, the third weekend he rode 409 miles, and the last weekend he was unable to go riding. What is the average number of miles he rode during those three weekends?
4. A group of boys in a camping club decided to sell homemade cookies to raise money for their annual father/son campout. Perry sold 236 boxes, Julio sold 317 boxes, Brandon sold 182 boxes, and Jay sold 99 boxes. If their goal was to sell 1,000 boxes, how many boxes kept them from meeting their goal?
3. Gail used her ATM card to make a few transactions. Her checking account balance was $320.80. She deposited two checks: $75.33 and $116.52. She withdrew $40.00 with a $2.50 service fee. What is her new balance?
2. Excited about recently getting his driver’s license, Nicholas and his sister Marilyn drove to visit some of their cousins. They get 300 miles per tank of gas. If they drove 2,257 miles, how many tanks of gas did they use?
1. What two operations do you use when averaging?
SOLVING WORD PROBLEMS FOR LIFE Day 48—Quiz 3
SOLVING WORD PROBLEMS FOR LIFE Day 47
Unit 4
Day 49–Day 64
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SOLVING WORD PROBLEMS FOR LIFE Day 50 Name ____________________ Date ____________________ Scott was trying to decide which mountain he wanted to climb. Mt. Everest in Tibet is 29,035 feet tall and the K2 range in China is 28,250 feet tall. He decided to climb Mt. Everest. If he accomplished his goal in 35 days, how many feet did he climb per day?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 49
Name ____________________ Date ____________________
Edmark Middle School held a blood donation rally for the community. Beforehand, 26,000 people signed up to donate blood. However, only 21,958 people actually showed up and gave blood. How many people didn’t show up to give blood?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
33
Tiffany’s family rented a DVD for $4.10 and bought a bucket of popcorn for $2.99 and two drinks for 99¢ each. Tiffany’s brother hid the movie under the couch, so she returned it five days late. The late fee per day is the same price as the cost of the rental. How much did the family movie night end up costing the family?
Simpson Park held their yearly Easter egg hunt for all of the preschool kids. The teenage volunteers hid 200,000 eggs for 1,250 preschoolers. Exactly 1/10 of the eggs held a $1 bill inside. Of the colored eggs, 2/5 were blue, 1/4 were red, and 3/12 were yellow. Give the number of each kind of egg.
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
Name ____________________ Date ____________________
Name ____________________ Date ____________________
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 52
SOLVING WORD PROBLEMS FOR LIFE Day 51
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SOLVING WORD PROBLEMS FOR LIFE Day 54 Name ____________________ Date ____________________ Fireman Shane’s schedule is a little out of the ordinary. He showers and starts his day at 6:00 am. He reads the paper and eats breakfast for 45 minutes. He drives 30 minutes to the fire station. He spends an hour and a half reading e-mails and doing paperwork. He exercises for 75 minutes. He teaches two classes at the fire academy that are two hours in length each with a 15-minute break in between. After he finishes teaching, he eats lunch. When does Fireman Shane eat lunch?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 53
Name ____________________ Date ____________________
Catherine followed the recipe to bake a cake, but she found out at the last minute that twice as many people were planning on coming to the birthday party. Increase the ingredients accordingly: 2/3 c. margarine, 1 2/3 c. sugar, 3 eggs, 2 1/4 c. flour, 1/4 tsp. baking powder, 1 tsp. salt, 1/2 c. cocoa, 1 tsp. soda.
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
35
Two families of four went to dinner at a restaurant that offered this coupon: “Buy two adult meals, get two free.” The adults each ordered the special, which cost $9.50. Each of the four kids ate a kid’s meal that cost $3.25. How much was the total bill?
Tameka and her grandmother made six dozen cookies for her class to decorate. If there are 17 students in her class, how many cookies does each student get to decorate? Are there any left over?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
Name ____________________ Date ____________________
Name ____________________ Date ____________________
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 56
SOLVING WORD PROBLEMS FOR LIFE Day 55
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SOLVING WORD PROBLEMS FOR LIFE Day 58 Name ____________________ Date ____________________ Lillie’s mom agreed to redecorate her room—it was outdated! She gave her a budget of $500. The paint and supplies cost $112.13. The comforter and sheet set cost $157.32. The window treatments cost $125.87. The lamps and bookshelf cost $95.54. The new pictures cost $72.69. How much did Lillie go over her budget?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 57
Name ____________________ Date ____________________
Instead of eating lunch at school, Margie walked the perimeter of the school building six times each day. The length of the building was 275 ft. and the width was 227 ft. How many feet did she walk each day?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
37
Joe was ravenous after football practice, so he ate two cheeseburgers (562 calories each), a box of chicken nuggets (288 calories), a large order of fries (312 calories), and two strawberry milkshakes (384 calories each). How many total calories did he consume?
Dustin was concerned about whether his test grades were going to lower his math grade. On test one he scored a 75, test two he scored a 69, test three he scored an 81, and test four he scored a 65. If the test averages count for 50% of his grade, what must the other 50% be in order for him to have an overall average of 75?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
Name ____________________ Date ____________________
Name ____________________ Date ____________________
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 60
SOLVING WORD PROBLEMS FOR LIFE Day 59
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SOLVING WORD PROBLEMS FOR LIFE Day 62 Name ____________________ Date ____________________ Terrell’s landscaping service maintains Mr. Davis’s yard yearround. This is the schedule: winter months—once a month, fall/spring—twice a month, and summer—once a week. How many times do they maintain his yard each year if each season is three months and each summer month is four weeks?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 61
Name ____________________ Date ____________________
Joy is going to the tanning bed to get a base tan before she goes on vacation to the beach. The membership fee is $65, and there’s a service charge of $2/visit. What will be the total amount she’s spent at the tanning salon if she goes 27 times before her vacation?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
39
Solve the following word problems. Show your work!
Paris was 4 ft., 8 in. tall when he entered the sixth grade. When he finished the eighth grade, he was 5 ft., 5 in. tall. How much had he grown?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
Name ____________________ Date ____________________
Name ____________________ Date ____________________
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
5. Name three key words that would indicate that a problem is about measuring.
4. Two families of four went to dinner at a restaurant that offered this coupon: “Buy two adult meals, get two free.” The adults each ordered the special, which cost $9.50. The kids each had a kid’s meal that cost $3.25. How much was the total bill?
3. Joe was ravenous after football practice, so he ate two cheeseburgers (562 calories each), a box of chicken nuggets (288 calories), a large order of fries (312 calories), and two strawberry milkshakes (384 calories each). How many total calories did he consume?
2. Catherine followed the recipe to bake a cake, but she found out at the last minute that twice as many people were planning on coming to the birthday party. Increase the ingredients accordingly: 2/3 c. margarine, 1 2/3 c. sugar, 3 eggs, 2 1/4 c. flour, 1/4 tsp. baking powder, 1 tsp. salt, 1/2 c. cocoa, 1 tsp. soda.
1. Lillie’s mom agreed to redecorate her room—it was outdated! She gave her a budget of $500. The paint and supplies cost $112.13. The comforter and sheet set cost $157.32. The window treatments cost $125.87. The lamps and bookshelf cost $95.54. The new pictures cost $72.69. How much did Lillie go over her budget?
SOLVING WORD PROBLEMS FOR LIFE Day 64—Quiz 4
SOLVING WORD PROBLEMS FOR LIFE Day 63
Unit 5
Day 65–Day 80
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SOLVING WORD PROBLEMS FOR LIFE Day 66 Name ____________________ Date ____________________ An accident occurred that involved four cars. Car A hit Car B. Car B hit Car C. Car C hit Car D. Car A’s owner did not incur any damages to his vehicle, but has to pay for all the damages. Car B’s damage was $2,250. Each car thereafter suffered $500 less in damages than the car behind it did. What was the total cost of the damage?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 65
Name ____________________ Date ____________________
Tommy cuts grass for the elderly people in his neighborhood as part of his volunteer work. Mr. Black’s pasture is 100 yd. long by 48 yd. wide. Mrs. Johnson’s yard is 12 yd. long by 7 yd. wide. What is the total area of grass that Tommy will cut for these people?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
43
Kimberly worked at a flower shop on the weekends. She arrived at 9:30 am. She worked on flower arrangements for a wedding for 2 1/4 hours. She took a 30-minute lunch break. Deliveries took 3 3/4 hours. Her manager asked her to clean up the shop, which took an hour and twenty minutes. What time was she finished for the day?
Darius is a gymnast. His scores on the rings were 8.8, 9.5, 9.0, 9.2, and 8.5. If the judges drop the highest and lowest scores and then average the remaining scores, what would his score be?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
Name ____________________ Date ____________________
Name ____________________ Date ____________________
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 68
SOLVING WORD PROBLEMS FOR LIFE Day 67
44
SOLVING WORD PROBLEMS FOR LIFE Day 70 Name ____________________ Date ____________________ Eric worked at Ed’s hardware store. Ed asked Eric to empty the box of 50,362 nails and put them into plastic containers. If each plastic container held 40 nails, how many containers did Eric fill? How many nails were left over?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 69
Name ____________________ Date ____________________
A football field is 100 yards in length. Coach Taylor makes his football team run the length of it 6 times before practice and 6 times after practice on Monday, Tuesday, Wednesday, and Thursday afternoons. How many total yards do they run each week?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
45
Tammy’s family packed the car to drive to her grandparents’ house for a weeklong visit. Her dad drove for 237 minutes, her mom drove for 96 minutes, and Tammy drove for 154 minutes. How many hours and minutes did it take to get there?
Keenan’s hobby is skydiving. He jumps out of the plane at 16,000 ft. He pulls his parachute plug out at 13,529 ft. How far has he fallen? He passes his friend Jim at 10,773 ft. How far has he fallen since he pulled his plug? His girlfriend takes a picture of him at 7,810 ft. How far has he fallen since seeing Jim?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
Name ____________________ Date ____________________
Name ____________________ Date ____________________
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 72
SOLVING WORD PROBLEMS FOR LIFE Day 71
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SOLVING WORD PROBLEMS FOR LIFE Day 74 Name ____________________ Date ____________________ Palmer and his Gran Gran were in a fishing competition. Palmer caught a fish that weighed 8 pounds, 9 ounces. Gran Gran caught a fish that weighed 10 pounds, 5 ounces. Meanwhile, Palmer’s friend John’s fish weighed 7 pounds, 14 ounces. John’s grandfather’s fish weighed 9 pounds, 6 ounces. Which grandson/grandfather won the fishing competition?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 73
Name ____________________ Date ____________________
Terrance and LaShawna went to the homecoming football game and dance. First, they ate a delicious meal at a seafood restaurant. How much would the 15% tip be if the meal cost $49.61?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
47
Tony rides his skateboard 3/4 mile to school and back five days a week. He rides it 7/8 mile to and from swim practice two days a week. He volunteers at the nursing home once a week, which is 1 1/2 miles to and from his home. How many miles does he ride his skateboard each week?
Quiton neatly packed his suitcase, but he didn’t know it would get tossed and turned at the baggage terminal and on the flight. He packed 5 shirts, 3 pairs of pants, 5 pairs of underwear, and 2 sweaters. If he reaches into his suitcase, what are the chances he’ll find a pair of his underwear? A shirt? A sweater? A pair of pants?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
Name ____________________ Date ____________________
Name ____________________ Date ____________________
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 76
SOLVING WORD PROBLEMS FOR LIFE Day 75
48
SOLVING WORD PROBLEMS FOR LIFE Day 78 Name ____________________ Date ____________________ The stadium wanted to track average wait time for the ladies’ restroom. Jill waited 7 minutes. Helen waited 3 1/2 minutes. Nedra waited 12 minutes. Tanya waited 6 1/2 minutes. Kim was furious because she waited 24 minutes. An elderly lady in a wheelchair waited 2 minutes. What was the average wait time at the ladies’ restroom?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 77
Name ____________________ Date ____________________
Tyrone’s pool holds 37,400 gallons of water. The total weight of the water is 321,640 pounds. How much does water weigh per gallon?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
49
Solve the flowing problems. Show your work!
Detective Danny discovered the suspect’s footprints on the stairwell of a building. He followed them up 14 flights of stairs (18 steps per flight), and then they turned around and went back down the stairwell for 6 flights. The burglar had been crouched in the corner when the police caught him. How many steps did the suspect run before getting caught?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
Name ____________________ Date ____________________
Name ____________________ Date ____________________
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
5. Keenan’s hobby is skydiving. He jumps out of the plane at 16,000 ft. He pulls his parachute plug out at 13,529 ft. How far has he fallen? He passes his friend Jim at 10,773 ft. How far has he fallen since he pulled his plug? His girlfriend takes a picture of him at 7,810 ft. How far has he fallen since seeing Jim?
4. Terrance and LaShawna went to the homecoming football game and dance. First, they ate a delicious meal at a seafood restaurant. How much would the 15% tip be if the meal cost $49.61?
3. An accident occurred that involved four cars. Car A hit Car B. Car B hit Car C. Car C hit Car D. Car A’s owner did not incur any damages to his vehicle, but has to pay for all the damages. Car B’s damage was $2,250. Each car thereafter suffered $500 less in damages than the car behind it did. What was the total cost of the damage?
2. What is the visual cue for subtracting?
1. The stadium wanted to track average wait time for the ladies’ restroom. Jill waited 7 minutes. Helen waited 3 1/2 minutes. Nedra waited 12 minutes. Tanya waited 6 1/2 minutes. Kim was furious because she waited 24 minutes. An elderly lady in a wheelchair waited 2 minutes. What was the average wait time at the ladies’ restroom?
SOLVING WORD PROBLEMS FOR LIFE Day 80—Quiz 5
SOLVING WORD PROBLEMS FOR LIFE Day 79
Unit 6
Day 81–Day 96
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SOLVING WORD PROBLEMS FOR LIFE Day 82 Name ____________________ Date ____________________ Mr. Henderson took his clothes to the dry cleaners. Each of his 7 shirts cost $1.59, and his 4 pairs of slacks cost $3.50 each. He also had 2 sweaters at $5 each. What was his total cost for dry cleaning?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 81
Name ____________________ Date ____________________
Buckner Stadium holds 50,000 people. Baseball fans were buying tickets like crazy for the opening day game. 22,993 upper level tickets were sold; 5,706 club level tickets were sold; 17,982 lower level tickets were sold; and 3,033 dugout tickets were sold. How many tickets were left unsold?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
53
Demetrius drove a large sports utility vehicle. He put $78 worth of gas in his empty tank. If his tank holds 25 gallons of gas, what was the price of gas per gallon?
Crawford just finished soccer practice. As a snack, he likes to eat fresh fruit. There are 5 apples, 6 bananas, 3 oranges, and 4 strawberries in the fridge. If he reached in the fridge without looking, what are the chances he’d grab a banana? A strawberry? An orange? An apple?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
Name ____________________ Date ____________________
Name ____________________ Date ____________________
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 84
SOLVING WORD PROBLEMS FOR LIFE Day 83
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SOLVING WORD PROBLEMS FOR LIFE Day 86 Name ____________________ Date ____________________ Darren had several errands to run for his mom on Saturday. He left his house at 10:00 am. He spent 1 1/4 hours at the grocery store. It took 3 1/2 hours to take his dog to the vet. He spent 25 minutes at the bookstore getting a cookbook for his mom. What time did he get home?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 85
Name ____________________ Date ____________________
Ashli ate dinner at a fast food restaurant. She ate a hamburger that was 230 calories, french fries that were 190 calories, and a soft drink that was 110 calories. What percentage of her daily 2,800-calorie diet did she consume in this one meal?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
55
The redwood tree, or sequoia tree, can grow to be 385 feet tall. A tree climber wanted to climb such a tree. He decided he would need his foot stakes every 8 inches. How many foot stakes would he need to reach the halfway point?
Jenny’s grandmother asked us to pick up the doughnuts for the tea party. We bought 3 dozen chocolate doughnuts, 2 dozen blueberry doughnuts, 4 dozen cinnamon crullers, and a half dozen lemon-filled doughnuts. Each doughnut costs 89¢. What was the total cost of the doughnuts?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
Name ____________________ Date ____________________
Name ____________________ Date ____________________
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 88
SOLVING WORD PROBLEMS FOR LIFE Day 87
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SOLVING WORD PROBLEMS FOR LIFE Day 90 Name ____________________ Date ____________________ Mrs. McElhaney’s sixth grade homeroom was holding a food drive. The class has 26 students—10 boys and 16 girls. Half of the boys brought 3 cans each, and the other half brought 5 cans each. A quarter of the girls brought 2 cans each, and threequarters of the girls brought 4 cans each. How many cans of food were donated to the food drive?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 89
Name ____________________ Date ____________________
Elizabeth competed in the uneven bars event at the national gymnastics competition. Her scores were 8.3, 8.0, 7.7, 8.8, 8.0, and 8.5. If the lowest and the highest scores are thrown out, what is her average score for the uneven bars?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
57
James took a job in another town from his home. His company allowed him to come home every Friday afternoon and return on Sunday evening. He earned 1,525 free ticket points for each round-trip ticket. The airline requires 100,000 points to each a free ticket. If he traveled home each weekend in one year, how many miles short was he of earning a free round-trip ticket?
Seth enjoys cross-country skiing. While on vacation, he skied 24.5 miles the first day, 16.3 miles the second day, 22.9 miles the third day, and 17.6 miles the last day. How many miles did he ski altogether while on vacation?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
Name ____________________ Date ____________________
Name ____________________ Date ____________________
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 92
SOLVING WORD PROBLEMS FOR LIFE Day 91
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SOLVING WORD PROBLEMS FOR LIFE Day 94 Name ____________________ Date ____________________ In a classroom, a student’s desk and chair takes up a space that is 3 ft. long and 3 ft. wide. A teacher’s desk and chair take up a space that is 6 ft. long and 3 ft. wide. The open walk space is 30 ft.2. If the class has 25 students and one teacher, what is the total area of the classroom?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 93
Name ____________________ Date ____________________
Dr. Packer’s chiropractic office helps patients with problems involving the spine and skeleton. The appendicular bones (the bones in the arms and legs) account for 126 of all the bones. The axial bones (the bones in the skull and vertebrae) account for the remaining 80 bones. Of the 206 bones in the human body, what percentage of the bones is appendicular? What percentage is axial?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
59
Solve the following word problems. Show your work!
Jose began working on a budget while his finace Maria focused on the wedding plans. Their combined monthly income was $4,209. He decided no more than 35% of their income should go towards housing. Eighteen percent of their income would be spent on car payments and insurance. He estimated the utility/phone bills would be approximately 15% of their income. He knew it was important to save 10% for unexpected emergencies. How much money was budgeted for each expenditure? How much money was left for food and entertainment?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
Name ____________________ Date ____________________
Name ____________________ Date ____________________
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
5. Mr. Henderson took his clothes to the dry cleaners. Each of his 7 shirts cost $1.59, and his 4 pairs of slacks cost $3.50 each. He also had 2 sweaters at $5 each. What was his total cost for dry cleaning?
4. The redwood tree, or sequoia tree, can grow to be 385 feet tall. A tree climber wanted to climb such a tree. He decided he would need his foot stakes every 8 inches. How many foot stakes would he need to reach the halfway point?
3. Demetrius drove a large sports utility vehicle. He put $78 worth of gas in his empty tank. If his tank holds 25 gallons of gas, what was the price of gas per gallon?
2. Seth enjoys cross-country skiing. While on vacation, he skied 24.5 miles the first day, 16.3 miles the second day, 22.9 miles the third day, and 17.6 miles the last day. How many miles did he ski altogether while on vacation?
1. Explain why the visual sign for dividing is the saw.
SOLVING WORD PROBLEMS FOR LIFE Day 96—Quiz 6
SOLVING WORD PROBLEMS FOR LIFE Day 95
Unit 7
Day 97–Day 112
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SOLVING WORD PROBLEMS FOR LIFE Day 98 Name ____________________ Date ____________________ A group of teenagers joined together in a rally to protest the expansion of a road through the city park. They walked the perimeter of the capital building five times. The capital and courtyard that they walked around measured 240 yards long and 140 yards wide. How many miles did they walk? (Hint: 1,760 yards = 1 mile)
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 97
Name ____________________ Date ____________________
The bank robber received this sentence: “You will serve 2 decades and 104 weeks for your crime. You will additionally serve 548 hours of community service.” He was quite confused because he didn’t understand. How many years and days is his prison sentence? How many 4-hour days of community service will it take to complete his sentence?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
63
Ricardo enjoyed a leisurely Sunday. He left his house at 11:07 am. His bike ride to Ronnie’s house took 10 minutes. He played basketball until 12:30 pm. His bike ride to the movies took 15 minutes. The movie was over at 3:12 pm. His bike ride to the arcade took 24 minutes. He left the arcade at 5:45 pm. How long did he spend at each activity: basketball, movie, and arcade?
Chip spotted an excellent sale on sweaters: purchase any two sweaters and get 30% off. He bought a sweater that cost $78 and another sweater that was $56. What was the total cost of the purchase? What was the savings?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
Name ____________________ Date ____________________
Name ____________________ Date ____________________
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 100
SOLVING WORD PROBLEMS FOR LIFE Day 99
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SOLVING WORD PROBLEMS FOR LIFE Day 102 Name ____________________ Date ____________________ Kia signed up for the 1,000 minute per month plan, since she used her phone constantly. Any unused minutes would roll over to the next month. Her bills show her minutes used per month: January—890; February—1,121; March—1,060; April—955; May—1,230; and June—983. Create a bill for January through June, rolling over minutes as needed. Which month(s) did she go over her minutes and by how much?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 101
Name ____________________ Date ____________________
Cindi and Wayne’s restaurant offers a punch on your punch card for every item you purchase. After 10 punches, you receive a free item. Eli purchased 3 items that cost $3.99 each, 4 items that cost $5.99 each, and 3 items that cost $7.99 each. What is the estimated amount of money he spent before he received a free item?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
65
Patti’s washer and dryer quit working so she took her dirty laundry to the Laundromat. She needed to wash and dry four loads of clothes. If washing costs $1.75/load and drying costs $2.00/load, how much did she spend? The machines only take quarters. How many quarters will she need?
The wrapping paper fundraiser was a huge success! Ike earned $593. Julie earned $370. Sam earned $822. Gene earned $156. Mary earned $409. Simone earned $541. What was the average amount of money earned during the wrapping paper fundraiser?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
Name ____________________ Date ____________________
Name ____________________ Date ____________________
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 104
SOLVING WORD PROBLEMS FOR LIFE Day 103
66
SOLVING WORD PROBLEMS FOR LIFE Day 106 Name ____________________ Date ____________________ Robot Rod is 37 years old today, and the year is 2085. In what year was Rod created? How old will Rod be in the year 2174?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 105
Name ____________________ Date ____________________
Erin Dobson’s family visited an indoor nature center. There were 35 butterflies, 10 redbirds, 7 parrots, and 18 hummingbirds. When she glanced at something flying past, what were the chances that Erin would see a redbird? A hummingbird? A butterfly? A parrot?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
67
At the accounting firm, 350 accounts needed to be completed. The orange group (10 accountants) handled 1/5 of the accounts. The green group (15 accountants) handled 3/5 of the accounts. The blue group (5 accountants) handled 1/5 of the accounts. How many accounts did each individual accountant handle?
Martin’s bus was scheduled to arrive at 7:10 am. He needed to get to work by 7:30 am. However, the bus was to be delayed by 30 minutes because of a wreck, so he decided to take the bus down the street that arrived at 7:30 am. After a stop that took 10 minutes, another stop that took 13 minutes, and a traffic jam that took 16 minutes, what time did Martin get to work? How many minutes was he late?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
Name ____________________ Date ____________________
Name ____________________ Date ____________________
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 108
SOLVING WORD PROBLEMS FOR LIFE Day 107
68
SOLVING WORD PROBLEMS FOR LIFE Day 110 Name ____________________ Date ____________________ Scott and Rebecca are planning their wedding guest list. The church seats 300 people. They want to invite 25 couples with no children, 36 couples with two children per family, and 18 couples with 3 children per family. How many total people have they invited? If they decide to invite adults only, how many would be invited?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 109
Name ____________________ Date ____________________
Benjamin hiked a trail that was 5,736 yards long. If he stopped every 1,500 feet to take a water break, how many times did he stop?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
69
Solve the following word problems. Show your work!
In honor of “Give a Compliment Day,” Ms. Green complimented each of the 6 honors students and asked them each to give a compliment to 4 people. Those people were so honored to get a compliment that they each gave a compliment to three more people. How many compliments were given by the end of the day?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
Name ____________________ Date ____________________
Name ____________________ Date ____________________
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
5. Robot Rod is 37 years old today, and the year is 2085. In what year was Rod created? How old will Rod be in the year 2174?
4. The wrapping paper fundraiser was a huge success! Ike earned $593. Julie earned $370. Sam earned $822. Gene earned $156. Mary earned $409. Simone earned $541. What was the average amount of money earned during the wrapping paper fundraiser?
3. Chip spotted an excellent sale on sweaters: purchase any two sweaters and get 30% off. He bought a sweater that cost $78 and another sweater that was $56. What was the total cost of the purchase? What was the savings?
2. What are the three visual cues used in averaging?
1. Patti’s washer and dryer quit working, so she took her dirty laundry to the Laundromat. She needed to wash and dry four loads of clothes. If washing costs $1.75/load and drying costs $2.00/load, how much did she spend? The machines only take quarters. How many quarters will she need?
SOLVING WORD PROBLEMS FOR LIFE Day 112—Quiz 7
SOLVING WORD PROBLEMS FOR LIFE Day 111
Unit 8
Day 113–Day 128
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SOLVING WORD PROBLEMS FOR LIFE Day 114 Name ____________________ Date ____________________ Juan and Annabelle worked on a poster for their social studies project. The markers were scattered all over the table beside them. Annabelle wanted it to look just perfect. Juan didn’t really care, so he just started grabbing markers. There were 6 yellow ones, 4 green ones, 7 red ones, 2 pink ones, 4 black ones, and 1 blue one. What are the chances he’d pick each one of the colors of markers?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 113
Name ____________________ Date ____________________
Zoe’s parents planted a tree in the front yard in honor of her 13th birthday. It was 3 ft., 6 in. when they planted it. It was 5 ft.,,1 in. on the 14th birthday. It was 6 ft., 9 in. on her 15th birthday. It was 7 ft., 5 in. on her 16th birthday. How much did it grow each year?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
73
Fred’s class was sending food packs to support the troops in the war. He used boxes that were 22 in. long by 12 in. wide by 9 in. high to ship the supplies. The food packs each had a volume of 1,000 inches cubed. Fred’s class collected 84 food packs. To send all of the food packs, how many boxes would they need?
Doug found his dream car. The finance manager at the dealership showed him two possible payment options: $580/month for 5 years or $516/month for 6 years. How much money would he save over the term of the loan if he paid the higher monthly payment?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
Name ____________________ Date ____________________
Name ____________________ Date ____________________
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 116
SOLVING WORD PROBLEMS FOR LIFE Day 115
74
SOLVING WORD PROBLEMS FOR LIFE Day 118 Name ____________________ Date ____________________ Today’s date is March 13, 2015. If Bill was born on November 28, 1996, how old is he in years, months, and days? Hint: Set up problem to read months, years, days, and borrow this way: 1 month = 30 days and 1 year = 12 months.
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 117
Name ____________________ Date ____________________
Willie found an inchworm on Monday. He was fascinated with how slowly it crawled. It crawled 3 1/4 in. on Tuesday, 1 7/8 in. on Wednesday, 2 1/2 in. on Thursday, 4 3/4 in. on Friday, and 2 3/8 in. on Saturday. How far did Willie’s inchworm crawl?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
75
At work at the grocery store, Ashton was asked to add the coins and bills in the cash drawer after closing. He counted 17 twenty-dollar bills, 61 ten-dollar bills, 49 five-dollar bills, 22 one-dollar bills, 35 quarters, 66 dimes, 57 nickels, and 8 pennies. How much was in the cash drawer altogether?
Four boys found a suitcase in an abandoned house. They called the owner after discovering his name and phone number were written on the inside flap. There were 25 one-hundred-dollar bills, 58 twenty-dollar bills, and 120 ten-dollar bills in the suitcase. If the owner decided to give 10% of the money to the boys as a reward, how much did each boy receive?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
Name ____________________ Date ____________________
Name ____________________ Date ____________________
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 120
SOLVING WORD PROBLEMS FOR LIFE Day 119
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SOLVING WORD PROBLEMS FOR LIFE Day 122 Name ____________________ Date ____________________ Alyssa didn’t like to travel with her parents, but she had no choice in going to the family reunion. She took her iPod along so she could listen to her favorite playlist. There were two songs that were (in minutes and seconds) 4:04 in length, three that were 3:50 in length, two that were 2:38 in length, one that was 5:25 in length, and one that was 3:11 in length. How many minutes and seconds of music were on her playlist?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 121
Name ____________________ Date ____________________
Jamal wanted to buy his girlfriend Monique a ring for Valentine’s Day. He looked at five rings with varying costs: $371, $428, $219, $275, and $346. What is the average cost of the rings?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
77
Bart the butcher is having a special on his meats: ground beef is $4.49/pound, chicken is $2.99/pound, and pork is $3.49 /pound. The Thomases are having a barbeque for 32 people. Half of the people will eat ground beef, a fourth will eat chicken, and a fourth will eat pork. If each person eats approximately 1/2 lb. of meat, what will the total cost be?
A large rodent has eaten a large part of Sandra’s vegetable garden. The garden is 13 ft. by 12 ft. If the vegetables are planted in 1 ft. by 1 ft. spaces and there are 89 plants left, how many vegetables did the rodent eat?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
Name ____________________ Date ____________________
Name ____________________ Date ____________________
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 124
SOLVING WORD PROBLEMS FOR LIFE Day 123
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SOLVING WORD PROBLEMS FOR LIFE Day 126 Name ____________________ Date ____________________ A court decision required Janet to pay $120,000 in damages. She must pay 30% of the amount now and the rest divided evenly over the next eight years. How much did she pay each month?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 125
Name ____________________ Date ____________________
A new act of kindness spread when numerous people were being fined for not paying enough to the parking meter. One man put a quarter in 3 expired parking meters. Those people were so happy they each placed a quarter in 2 expired parking meters. Those people in turn each placed a quarter in 4 expired parking meters. How many parking meters were given a quarter?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
79
Solve the following word problems. Show your work!
Dawn didn’t get her bills sent in on time. Therefore, she had to pay a 5% late charge on each bill. The electric bill was $132.16, the water bill was $40.75, the cable bill was $86.09, and the credit card bill was $210.89. How much was each late bill with its late charge?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
Name ____________________ Date ____________________
Name ____________________ Date ____________________
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
5. A large rodent has eaten a large part of Sandra’s vegetable garden. The garden is 13 ft. by 12 ft. If the vegetables are planted in 1 ft. by 1 ft. spaces and there are 89 plants left, how many vegetables did the rodent eat?
4. Dawn didn’t get her bills sent in on time. Therefore, she had to pay a 5% late charge on each bill. The electric bill was $132.16, the water bill was $40.75, the cable bill was $86.09, and the credit card bill was $210.89. How much was each late bill with its late charge?
3. Willie found an inchworm on Monday. He was fascinated with how slowly it crawled. It crawled 3 1/4 in. on Tuesday, 1 7/8 in. on Wednesday, 2 1/2 in. on Thursday, 4 3/4 in. on Friday, and 2 3/8 in. on Saturday. How far did Willie’s caterpillar crawl?
2. Zoe’s parents planted a tree in the front yard in honor of her 13th birthday. It was 3 ft., 6 in. when they planted it. It was 5 ft., 1 in. on the 14th birthday. It was 6 ft., 9 in. on her 15th birthday. It was 7 ft., 5 in. on her 16th birthday. How much did it grow each year?
1. Jamal wanted to buy his girlfriend Monique a ring for Valentine’s Day. He looked at five rings with varying costs: $371, $428, $219, $275, and $346. What is the average cost of the rings?
SOLVING WORD PROBLEMS FOR LIFE Day 128—Quiz 8
SOLVING WORD PROBLEMS FOR LIFE Day 127
Unit 9
Day 129–Day 144
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SOLVING WORD PROBLEMS FOR LIFE Day 130 Name ____________________ Date ____________________ Raymond tracked the rainfall amounts for a Boy Scouts project during March (4 3/4 in.), April (1 1/4 in.), May (3 1/2 in.), June (2 in.), and July (5 1/4 in.). What is the total rainfall for these months?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 129
Name ____________________ Date ____________________
Tish was curious about the reptiles and amphibians in Ralph’s terrarium. She reached her hand in to pet one of the creatures. What are her chances of petting a hermit crab if there are 5 of them, of petting a salamander if there are 13 of them, and of petting a tree frog if there are 7 of them?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
83
Tracy looked at her standardized test scores. She scored a 6.8 grade level in math calculation and a 7.4 grade level in math application. She scored a 5.9 grade level in reading decoding and a 6.5 grade level in reading comprehension. What was her average grade level in math? In reading?
Michelle was caught driving 75 mph in a 45 mph zone. Her ticket is a flat fee of $125 plus $15 for each mile over the posted speed limit. How much was her speeding ticket?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
Name ____________________ Date ____________________
Name ____________________ Date ____________________
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 132
SOLVING WORD PROBLEMS FOR LIFE Day 131
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SOLVING WORD PROBLEMS FOR LIFE Day 134 Name ____________________ Date ____________________ Chris offers horseback riding lessons that are 40 minutes long. After each lesson, he takes a 10 minute break. How many lessons can he teach in an 8-hour day?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 133
Name ____________________ Date ____________________
The average person should drink 8 glasses of 8 ounces of water per day. How many gallons of water is that per day? Per week?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
85
A mysterious stranger gave a twenty-dollar bill to a person and another one to another person with these instructions: “You are to give $20 plus another twenty-dollar bill away to two strangers each. Instruct them to do the same.” If everyone followed instructions, how much money was given away during these three transactions?
Matt decided that he needed to triple the cupcake recipe for JR’s birthday party. What would the measurements be for: 1/2 c. butter, 1 c. sugar, 1 tsp. vanilla, 4 eggs, 1 1/4 c. flour, 1/2 tsp. baking soda, and 1 1/2 c. chocolate syrup?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
Name ____________________ Date ____________________
Name ____________________ Date ____________________
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 136
SOLVING WORD PROBLEMS FOR LIFE Day 135
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SOLVING WORD PROBLEMS FOR LIFE Day 138 Name ____________________ Date ____________________ The Ericksons recorded their receipts from the grocery store to determine their average grocery bill. In January they spent $131.33 and $65.49 on groceries. They spent $120.75 and $78.12 in February. They spent $105.55 and $96.43 in March. What was the average cost of groceries for the three month period?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 137
Name ____________________ Date ____________________
A large woodpecker can peck on a tree up to 12,000 times a day. How many pecks per hour would that be? Per minute?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
87
Reed earned a four-day trip to a snow-capped mountain resort for having high sales during the year. The approximate costs to the company were: lodging per night—$450; food—$1,630; activities—$255; and awards/gifts—$715. What was the total amount the company spent on Reed’s trip?
David owned 150 shares in a large Fortune 500 company; however, the company made poor decisions and the company’s stock plummeted. If his shares were worth $213.50/share before and now they are worth $71.25/share, how much money did he lose?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
Name ____________________ Date ____________________
Name ____________________ Date ____________________
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 140
SOLVING WORD PROBLEMS FOR LIFE Day 139
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SOLVING WORD PROBLEMS FOR LIFE Day 142 Name ____________________ Date ____________________ A fraternity and a sorority had a pie-eating contest. Kent ate 3/4 of his pie, Sutton ate 7/8 of his pie, and Grant ate 1/3 of his pie. Janice ate 3/8 of her pie, Rachel ate 5/6 of her pie, and Olivia ate 1/2 of her pie. What percentage of pie did each person eat?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 141
Name ____________________ Date ____________________
The race committee received this information on Bill’s race application: “My age is one century minus five decades minus six years.” How old is bill?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
89
Solve the following word problems. Show your work!
Jackie drove to visit her parents. She left her house at 6:30 am. She drove for 2 hours and 15 minutes before stopping for a 30-minute breakfast. She drove another 3 1/2 hours before stopping for a 45-minute lunch and restroom break. She drove another 3 hours and 10 minutes before arriving at her parents’ beach house. What time did she arrive?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
Name ____________________ Date ____________________
Name ____________________ Date ____________________
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
5. A large woodpecker can peck on a tree up to 12,000 times a day. How many pecks per hour would that be? Per minute?
4. The Ericksons recorded their receipts from the grocery store to determine their average grocery bill. In January they spent $131.33 and $65.49 on groceries. They spent $120.75 and $78.12 in February. They spent $105.55 and $96.43 in March. What was the average cost of groceries for the three month period?
3. Raymond tracked the rainfall amounts for a Boy Scouts project during March (4 3/4 in.), April (1 1/4 in.), May (3 1/2 in.), June (2 in.) and July (5 1/4 in.). What is the total rainfall for these months?
2. Matt decided that he needed to triple the cupcake recipe for JR’s birthday party. What would the measurements be for: 1/2 c. butter, 1 c. sugar, 1 tsp. vanilla, 4 eggs, 1 1/4 c. flour, 1/2 tsp. baking soda, and 1 1/2 c. chocolate syrup?
1. Reed earned a four-day trip to a snow-capped mountain resort for having high sales during the year. The approximate costs to the company were: lodging per night—$450; food— $1,630; activities—$255; and awards/gifts—$715. What was the total amount the company spent on Reed’s trip?
SOLVING WORD PROBLEMS FOR LIFE Day 144—Quiz 9
SOLVING WORD PROBLEMS FOR LIFE Day 143
Unit 10
Day 145–Day 160
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SOLVING WORD PROBLEMS FOR LIFE Day 146 Name ____________________ Date ____________________ Steven was beginning his training to run a half marathon. He ran 6 1/2 miles on Sunday, 5 1/4 miles on Tuesday, 7 miles on Wednesday, 8 3/4 miles on Thursday, 5 miles on Friday, and 12 1/2 miles on Saturday. How many miles per day did he average?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 145
Name ____________________ Date ____________________
Lee painted Mrs. Timmons’s house. He worked on Saturday for 5 hours, on Monday afternoon for 4 1/2 hours, and he finished on Tuesday in 3 1/4 hours. She paid him $25/hour. How much money did he earn?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
93
Sydney weighed 8 pounds, 3 ounces when she was born. Her brother Lyle weighed 10 pounds, 1 ounce when he was born three years ago. What is the difference in their birth weights?
The window treatments for Shanna’s bedroom call for 120 inches of material. The cloth store only has 2 1/2 yards of her material, which is not enough for her project. How much more material does Shanna need?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
Name ____________________ Date ____________________
Name ____________________ Date ____________________
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 148
SOLVING WORD PROBLEMS FOR LIFE Day 147
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SOLVING WORD PROBLEMS FOR LIFE Day 150 Name ____________________ Date ____________________ A dog had 10 puppies. There were 3 chocolate-colored ones, 2 black ones, 4 golden ones, and 1 spotted one. What are the chances that the dog’s owner, Bailey, will pick a golden one out of a box at random? A chocolate-colored one? A spotted one? A black one?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 149
Name ____________________ Date ____________________
The Cagle family is going to get their family pictures taken today. The sitting fee is $69.95, the proofs are $75.00, and the package Mom wants is $259.99. Sales tax is 8%. What is the total cost of the family pictures?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
95
Marine Kenneth Sampson signed up to serve his country for four years of active duty. On the 1,027th day of his active duty, he was severely injured in combat. How many days of his active duty did he serve on medical disability?
Chuck’s dad agreed to pay up front for the four-wheeler Chuck had been wanting, as long as Chuck promised to pay him back. The total cost of the four-wheeler was $896.32. How much does Chuck need to pay each week if he wants to have his debt paid back in one year?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
Name ____________________ Date ____________________
Name ____________________ Date ____________________
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 152
SOLVING WORD PROBLEMS FOR LIFE Day 151
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SOLVING WORD PROBLEMS FOR LIFE Day 154 Name ____________________ Date ____________________ Jade was given a new board game as a birthday gift. The object of the game was to get the best combinations when rolling the dice. List all the possible combinations, but only count the opposing pairs once (for example, 2 and 3). How many combinations are there? Make a chart!
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 153
Name ____________________ Date ____________________
Alex attended baseball games at several Major League Baseball stadiums as a birthday present from his dad. Turner Field, home of the Atlanta Braves, has 50,091 seats. Fenway Park, home of the Boston Red Sox, seats 39,928 fans. Wrigley Field, home of the Chicago Cubs, has 41,118 seats. The Hubert H. Humphrey Metrodome, home of the Minnesota Twins, seats 46,564 fans. What is the average number of seats in these stadiums?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
97
Cathy found the perfect bag to carry to the beach for all her suntan lotions, towels, snacks, etc. The bag costs $45. The store was having a pre-season sale, so it was discounted 15%. She had a store credit card, so she saved an additional 10%. What was the total cost of her beach bag after adding the sales tax of 7%?
Four college basketball players were being interviewed for the newspaper. The reporter asked, “Who is the tallest?” Each player gave his height: Player 1 is 7 feet, 2 inches; Player 2 is 82 inches tall; Player 3 is 84 inches tall; and Player 4 is 6 feet, 7 inches. Put them in order from shortest to tallest using inches.
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
Name ____________________ Date ____________________
Name ____________________ Date ____________________
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 156
SOLVING WORD PROBLEMS FOR LIFE Day 155
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SOLVING WORD PROBLEMS FOR LIFE Day 158 Name ____________________ Date ____________________ The school band is celebrating a first place award at the state competition. There are 81 students participating in the band, plus the band director and assistant band director. If each person eats 2 slices of pizza at the celebration, how many 12-slice large pizzas will they need to order?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 157
Name ____________________ Date ____________________
Chaz is trying to build up his calcium intake. He eats two bowls of cereal every morning with a 1/2 cup of milk each and drinks another 4 cups of milk with breakfast. For lunch, he makes a milkshake with 8 cups of milk. At dinner, he drinks another 8 cups of milk with his food. If he does this all seven days of the week, how many gallons of milk will he need per week?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
99
Solve the following word problems. Show your work!
Connor’s plane to his business trip in Los Angeles leaves at 1:27 pm. He needs to be at the airport 2 1/2 hours early. The drive to the airport takes 45 minutes. His meeting at the office lasted 1 hour and 20 minutes. If there was no other free time in his day, at what time did Conner arrive at work this morning?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
Name ____________________ Date ____________________
Name ____________________ Date ____________________
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
5. The Cagle family is going to get their family pictures taken today. The sitting fee is $69.95, the proofs are $75.00, and the package Mom wants is $259.99. Sales tax is 8%. What is the total cost of the family pictures?
4. A dog had 10 puppies. There were 3 chocolate-colored ones, 2 black ones, 4 golden ones, and 1 spotted one. What are the chances that the dog’s owner, Bailey, will pick a golden one out of a box at random? A chocolate-colored one? A spotted one? A black one?
3. Sydney weighed 8 pounds, 3 ounces when she was born. Her brother Lyle weighed 10 pounds, 1 ounce when he was born three years ago. What is the difference in their birth weights?
2. Steven was beginning his training to run a half marathon. He ran 6 1/2 miles on Sunday, 5 1/4 miles on Tuesday, 7 miles on Wednesday, 8 3/4 miles on Thursday, 5 miles on Friday, and 12 1/2 miles on Saturday. How many miles per day did he average?
1. Chuck’s dad agreed to pay up front for the four-wheeler Chuck had been wanting, as long as Chuck promised to pay him back. The total cost of the four-wheeler was $896.32. How much does Chuck need to pay each week if he wants to have his debt paid back in one year?
SOLVING WORD PROBLEMS FOR LIFE Day 160—Quiz 10
SOLVING WORD PROBLEMS FOR LIFE Day 159
Unit 11
Day 161–Day 180
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SOLVING WORD PROBLEMS FOR LIFE Day 162 Name ____________________ Date ____________________ Carmen and Ellen decided to have a “random” party—one where they didn’t know who they were inviting. They put an invitation in every fourth locker by number. The lockers are stacked four high with 25 lockers in each row. How many invitations were given out?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 161
Name ____________________ Date ____________________
Jason wanted to re-carpet his basement floor. It measured 80 ft. in length and 35 ft. in width. Each carpet tile measured 2 ft. by 2 ft. How many tiles would it take to re-carpet his basement?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
103
Walter sold 20 coupon books at $12 each for a school fundraiser. His goal was to sell $300 worth of books. How short of his goal was he? How many more books should he have sold to reach his goal?
Ms. D’Angelo is the secretary of a large law firm. She types memos, court records, and legal briefs. On a good day, she types 220 words per minute (wpm). On an unfocused day, she types 190 wpm. On a hectic day, she types 150 wpm. What is her average wpm?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
Name ____________________ Date ____________________
Name ____________________ Date ____________________
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 164
SOLVING WORD PROBLEMS FOR LIFE Day 163
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SOLVING WORD PROBLEMS FOR LIFE Day 166 Name ____________________ Date ____________________ Lindsey arrived at her parent’s vacation house on Sunday at 1:36 pm and left on Friday at 6:19 am. How many hours and minutes did she spend on vacation?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 165
Name ____________________ Date ____________________
Carrie’s mom dropped her off at the mall with a spending allowance of $250. She spent $89.72 on shoes. Then she spent $108.56 on jeans and two shirts. She bought lunch for herself and her friend for $16.94. If she spends everything her mom gave her, how much money will she spend at the music store?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
105
Ted decided to sell his farm to a land developer who wanted to build a golf course community. Ted sold him 5,120 acres for $35,000/acre. How much money did Ted receive from the sale? If the developer wanted 3/8 of the land to be used for the golf course and the remaining land to be used for homes, how many square miles were used for each project? (Hint: 640 acres = 1 square mile)
A homeless man named Bob was given $16.45 at the recycling center in exchange for cans he’d collected. If each aluminum can was worth 7¢, how many cans did he turn in?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
Name ____________________ Date ____________________
Name ____________________ Date ____________________
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 168
SOLVING WORD PROBLEMS FOR LIFE Day 167
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SOLVING WORD PROBLEMS FOR LIFE Day 170 Name ____________________ Date ____________________ Terralyn’s daughter Violet was diagnosed with a life-threatening disease. Violet’s middle school put a barrel in the front hall to collect change to help pay for her medical expenses. They collected 1,725 nickels, 5,990 pennies, 2,048 dimes, and 683 quarters. How much money was collected?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 169
Name ____________________ Date ____________________
For the end-of-the-year dance, the planning committee blew up 16 red balloons, 25 blue balloons, 40 silver balloons, and 19 gold balloons. The room got too hot, and balloons started popping. What are the chances a blue balloon popped first? A gold balloon? A red balloon? A silver balloon?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
107
Teresa set out 200 cans of soft drinks for her birthday party. Of the cans, 1/4 were Coke, 3/8 were Cherry Coke, 1/8 were Sprite, and 1/4 of them were Diet Coke. How many of each kind of soft drink were at the party?
A video of a movie star was posted on the Internet. Jennifer looked at it on Monday; it had 346,951 hits. On the following Sunday, it had 1,067,587 hits. How many hits did it get between Monday and the following Sunday?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
Name ____________________ Date ____________________
Name ____________________ Date ____________________
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 172
SOLVING WORD PROBLEMS FOR LIFE Day 171
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SOLVING WORD PROBLEMS FOR LIFE Day 174 Name ____________________ Date ____________________ Hans wanted to put a pool table in his newly finished basement. The table measures 50 inches by 100 inches. If you need 3 feet on every side of the table to prevent hitting the wall, what would the dimensions of Hans’s room have to be (in feet)? Round your answers to the nearest half foot.
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
SOLVING WORD PROBLEMS FOR LIFE Day 173
Name ____________________ Date ____________________
Allison (a rising sixth grader) and her brother Zach (rising third grader) are attending a private school next year. Their parents had to write a check to the school. Allison’s tuition was $5,670/year, and Zach’s was $4,780/year. Each child had a registration fee of $100 and a matriculation fee of $350. How much was the check that Allison and Zach’s parents wrote for them to attend a private school next year?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
109
Solve the following word problems. Show your work!
Frank makes his ice cream in 2 1/2 gallon buckets. If each single scoop is 3 oz. of ice cream, how many single scoops are in each bucket? If each double scoop is 5 oz., how many double scoops are in each bucket? (Hint: 1 gallon = 128 oz.)
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
Name ____________________ Date ____________________
Name ____________________ Date ____________________
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
5. A homeless man named Bob was given $16.45 at the recycling center in exchange for cans he’d collected. If each aluminum can was worth 7¢, how many cans did he turn in?
4. Name the six visual cues and what operation each one stands for.
3. Terralyn’s daughter Violet was diagnosed with a life-threatening disease. Violet’s middle school put a barrel in the front hall to collect change to help pay for her medical expenses. They collected 1,725 nickels, 5,990 pennies, 2,048 dimes, and 683 quarters. How much money was collected?
2. Ms. D’Angelo is the secretary of a large law firm. She types memos, court records, and legal briefs. On a good day, she types 220 words per minute (wpm). On an unfocused day, she types 190 wpm. On a hectic day, she types 150 wpm. What is her average wpm?
1. Carrie’s mom dropped her off at the mall with a spending allowance of $250. She spent $89.72 on shoes. The she spent $108.56 on jeans and two shirts. She bought lunch for herself and her friend for $16.94. If she spends everything her mom gave her, how much money will she spend at the music store?
SOLVING WORD PROBLEMS FOR LIFE Day 176—Quiz 11
SOLVING WORD PROBLEMS FOR LIFE Day 175
110
You bet! I didn’t have a clue! I dunno. I’m not sure what my abilities were. No way! I could solve them on my own.
They were very helpful. They confused me more than they helped me. I didn’t need them.
I was amazed at how much I grew. I guess I saw some growth, but I still don’t feel confident. I wasn’t paying attention to my growth.
Yes, but I liked the challenge. It frustrated me at times, but I solved most of them. I don’t like challenges—they are too hard!
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
Choice 1 Choice 2 Choice 3
4. I thought the problems were challenging.
Choice 3
Choice 1 Choice 2
3. I saw growth in being able to set up and solve word problems.
Choice 1 Choice 2 Choice 3
2. The visual cues helped me to know how to solve the problems.
Choice 1 Choice 2 Choice 3
1. I feel that my problem-solving abilities were weak before starting the daily word problems
Directions: Complete the following survey. Circle the choice that best represents your feelings for each statement.
MEASURE YOUR WORD PROBLEM ABILITIES 1
Name ____________________ Date ____________________
SOLVING WORD PROBLEMS FOR LIFE Day 177
Yes! I can solve lots of word problems now. Somewhat stronger. I still need help. No. I didn’t get much from doing the problems.
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
Choice 1 Choice 2 Choice 3
5. I feel much stronger in my problem solving skills than I did before.
111
MEASURE YOUR WORD PROBLEM ABILITIES 3 Directions: Give the answers to the following problems and explain (in complete sentences) the steps taken to solve them. 1. Max earned these scores in math: 78, 89, 95, 65, 81, 100, 88, 70, 57, 92, 80, and 0. What is his math average?
MEASURE YOUR WORD PROBLEM ABILITIES 2
Directions: Match each visual clue to its mathematical operation and then to its explanation.
A. Averaging
B. Multiplying BB. To cut something into smaller pieces
C. Measuring
D. Adding
E. Dividing
F. Subtracting FF. To put something more with your existing project.
1.
2.
3.
4.
5.
6.
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
EE. To take out or remove something
DD. To multiply your efforts in moving something
CC. To make all the sides as equal as possible
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
2. The Giovanni family wanted to have a border of carpet a different color from the rest of the carpet in their family room. If the room measures 16 ft. in length and 12 ft. in width, what is the perimeter of the room?
Name ____________________ Date ____________________
Name ____________________ Date ____________________
AA. To measure the distance or length of something
SOLVING WORD PROBLEMS FOR LIFE Day 179
SOLVING WORD PROBLEMS FOR LIFE Day 178
112
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
LAST DAY OF SCHOOL! CELEBRATE! FREE DAY! YOU EARNED IT!
Name ____________________ Date ____________________
SOLVING WORD PROBLEMS FOR LIFE Day 180
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010.
Hard Hat Thinking 1–5
114 • Solving Word Problems for Life, Grades 6–8
Hard Hat Thinking 1 Name ____________________ Date ____________________ Solve the following word problems. Show your work. Use the back side of this paper, if necessary.
1. The dinosaur museum gives twenty-minute tours of its rare dinosaur fossils. How many tours can be given in six hours if the host takes a five-minute restroom break between every other tour?
2. Joshua and his dad wanted to build a brick patio for his mom’s birthday. A brick is 8 in. long and 3 in. wide. The space for the patio is 5 ft. by 4 ft. How many bricks would they need to build the patio?
3. There are eight children at Ms. Sandy’s daycare. Each child drinks an 8 oz. cup of milk at breakfast, an 8 oz. cup of juice at lunch, and a 4 oz. cup of juice at snack time. How many gallons of milk will Ms. Sandy need for a five-day week? How many gallons of juice?
4. Mr. Oliver’s class earned a pizza party for earning the most money in the fundraising contest. There are 28 students in his class. If the principal ordered 11 pizzas with 8 slices each, how many slices did the principal expect each child to eat? Seven students were absent on the day of the pizza party. How many slices did each student get now? How many slices were left over?
5. Gustav had a great idea. Instead of bringing gifts to his birthday party, each child could bring some scrap material so his mom could sew a quilt for a homeless person. Kyle brought 5 ft. 3 1/4 in. of material, Alexis brought 3 ft. 1 3/8 in. of material, Robert brought 4 ft. 2 5/16 in. of material, Austin brought 7 ft. 5 1/4 in. of material, and Desiree brought 2 ft. 9 7/8 in. of material. How much material altogether did the kids bring to the party?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010
Hard Hat Thinking 1–5 • 115
Hard Hat Thinking 2 Name ____________________ Date ____________________ Solve the following word problems. Show your work. Use the back side of this paper, if necessary.
1. Kathleen started a new exercise program on January 1. She ran 3 miles every other day for six months. Then in July through December, she ran 5 miles every other day. How many miles did she run during that year?
2. Thomas bought a loft that was 1,000 square feet. His bedroom measured 20 ft. by 18 ft. The guest bedroom measured 10 ft. by 12 ft. The two bathrooms measured 5 ft. by 3 ft. each. His kitchen/dining area measured 20 ft. by 10 ft. How many square feet was his den area?
3. For his 16th birthday, Cole’s parents gave him a red convertible. His parents asked him to pay the $1,500/year insurance payment. If he works 15 hours per week at $8.25/hour with 17% taken out of each paycheck for taxes, how many weeks of work will it take to pay for his insurance?
4. Dylan’s grandparents give him $125 every year for his birthday to put toward his college expenses. The money market account this money is put into earns 7% interest per year. How much will Dylan’s account be worth in three years?
5. After charging $225 worth of shoes on her credit card, Jill realized that making the payments was going to be difficult. The first month’s payment came due with a 7.9% interest charge. She could only afford to make the $15 minimum payment. The next month’s bill arrived with another 7.9% interest charge. How much does Jill still owe the credit card company after she pays a second month of the minimum payment ($15)?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010
116 • Solving Word Problems for Life, Grades 6–8
Hard Hat Thinking 3 Name ____________________ Date ____________________ Solve the following word problems. Show your work. Use the back side of this paper, if necessary.
1. Daniel, the mechanic, is paid $15/hour for a 40-hour workweek. Any work time over 40 hours earns him time-and-a-half pay. How much did he earn during the week he worked 53 hours?
2. A census surveyor wanted to determine the average annual income of the households on Daschal Drive. The salaries were: $130,000; $50,000; $82,750; $61,000; $101,375 and $44,900. What is the average annual income of those living on Daschal Drive?
3. A weather forecaster tracked the number of days for one year that he predicted the weather correctly. Sunny—212 actual, 180 predicted; rainy—62 actual, 95 predicted; snowy— 22 actual, 24 predicted; and partly cloudy—69 actual, 66 predicted. What is the percentage of correctly forecasted days for each type of forecast?
4. A large corporation spent $2.02 for each holiday greeting card it sent to its employees. The postage was 44¢ per envelope. There were 12,634 employees. What was the total cost of sending out holiday greeting cards?
5. The clothing store makes 20% profit on the sale price of each item. A shirt costs $65 when it is first put on the floor. What is the profit if the shirt sells at full price? Halfway through the season, the store offers a 30% off sale. What is the discounted price, and what is the store’s profit? If it doesn’t sell until the end of the season, at a discount of 90%, what is the cost of the shirt? What is the store’s profit?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010
Hard Hat Thinking 1–5 • 117
Hard Hat Thinking 4 Name ____________________ Date ____________________ Solve the following word problems. Show your work. Use the back side of this paper, if necessary.
1. An elderly farmer had 30,500 chickens and he wanted to retire. He gave 5,000 chickens to his son-in-law to start his farm. He sold 2/3 of the remaining chickens to a chicken packaging plant and 1/3 to another farmer down the road. How many chickens were sold to the packaging plant? To the other farmer?
2. Kelvin owned 75 shares of stock at $25/share. Several days later he purchased another 75 shares. If the shares increased in value by 17% over the course of the year, how much are his shares worth now?
3. During one year, there were 128,970,393 births in the world. There were 56,202,306 deaths during that same year. How many more births than deaths were there during that year?
4. Charles was considering two options for his house’s $200,000 mortgage. The payment on a 30-year mortgage is $1,112.73/month, and the payment on a 15-year mortgage is $1,500.24/month. How much money over the life of the loan would Charles be saving if he chose the higher payment of the 15-year mortgage?
5. Beverly charges $55 for highlights, $25 for a haircut, and $10 for eyebrow waxing. She wants to take her family of four on a cruise that costs $7,000. How many clients who want all three services must she have in order to pay for the cruise? How many clients who only want highlights and haircuts would it take? How many clients who just want haircuts would it take?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010
118 • Solving Word Problems for Life, Grades 6–8
Hard Hat Thinking 5 Name ____________________ Date ____________________ Solve the following word problems. Show your work. Use the back side of this paper, if necessary.
1. The population of the world in 1950 was 2,555,360,972 people. Fifty years later, it was 6,079,006,982 people. By how many people had the world grown in population?
2. Two teenage couples went on a special date to an expensive restaurant. The waiter put all of the items on one ticket instead of two. The couples decided to split the bill evenly in half, since their meals and drinks were about the same cost. The total bill was $127.54. Couple A had a $25 off coupon. Couple B did not have a coupon. If both couples agreed to leave an 18% tip, what was the total amount of money left by each couple?
3. The mayor of a small town wanted to replace all of the stop signs within the town’s limits. There are 25 four-way stops, 16 three-way stops, and 51 single stop signs. If each sign costs $150 to replace, how much would this project cost the town?
4. A well-known rock band performed to a sold-out crowd at an amphitheater. In all, 25,500 tickets were sold at $25 apiece and 15,000 tickets were sold at $35 apiece. The owners of the amphitheater paid the band 42% of the money from the ticket sales. How much did the rock band get paid? How much did the owners make?
5. A police officer clocked drivers’ speeds to determine who was breaking the speed limit of 65 mph. He clocked these speeds: 75, 63, 66, 81, 65, 60, 71, 63, 78, 70, 85, 65, and 64. What was the average speed of the drivers? What percentage of drivers drove at or below the speed limit?
From Solving Word Problems for Life, Grades 6–8 by Melony A. Brown. Santa Barbara, CA: Libraries Unlimited. Copyright © 2010
Answer Key to Solving Word Problems for Life, Grades 6–8 Unit 1 Day 7 556,777 + 248,586 + 188,982 = 994,345 flights Day 8 $583.51 − $13.89 (gas) = $569.62 − $20.00 (cash) = $549.62 − $40.50 (dry cleaners) = $509.12 − $179.23 (groceries) = $329.89 − $50.17 (dinner) = 279.72 − $18.21 (CD) = $261.51 Day 9 $47.25 ÷ $0.75/cup = 63 cups of lemonade Day 10 $0.44 (invitation stamp) + $0.44 (RSVP envelope stamp) = $0.88 per invitation $0.88 (stamps) × 233 invitations = $205.04 on postage Day 11 Pain medicine Heart medicine
7:00 am, 11:00 am, 3:00 pm, 7:00 pm 7:00 am, 3:00 pm, 11:00 pm, 7:00 am
Day 12 256 sandwiches × 1/4 (0.25) = 64 ham sandwiches; 256 sandwiches × 2/3 (0.67) = 172 chicken salad sandwiches 64 (ham) + 172 (chicken salad) = 236 ham and chicken salad sandwiches 256 total sandwiches − 236 ham and chicken salad sandwiches = 20 turkey sandwiches Day 13 Brad 283 lbs. − 209 lbs. = 74 lbs. lost Jan 192 lbs. − 125 lbs. = 67 lbs. lost 74 lbs. (Brad) + 67 lbs. (Jan) = 141 lbs. lost together
120 • Units Answer Key Day 14 12.25 mi. (Mon.) + 15 mi. (Tues.) + 10.75 mi. (Wed.) + 26.5 mi. (Fri.) = 64.5 mi. total Day 15 291 guests ÷ 12 guests/table = 24.25 tables = round up to 25 tables Day 16—Quiz 1 1. $0.44 (invitation stamp) + $0.44 (RSVP envelope stamp) = $0.88 per invitation $0.88 (stamps) × 233 invitations = $205.04 on postage 2. $583.51 − $13.89 (gas) = $569.62 − $20.00 (cash) = $549.62 − $40.50 (dry cleaners) = $509.12 − $179.23 (groceries) = $329.89 − $50.17 (dinner) = 279.72 − $18.21 (CD) = $261.51 3. Gears, because you are multiplying your efforts to move something 4. 12.25 mi. (Mon.) + 15 mi. (Tues.) + 10.75 mi. (Wed.) + 26.5 mi. (Fri.) = 64.5 mi. total 5. Brad 283 lbs. − 209 lbs. = 74 lbs. lost Jan 192 lbs. − 125 lbs. = 67 lbs. lost 74 lbs. (Brad) + 67 lbs. (Jan) = 141 lbs. lost together Unit 2 Day 17 $2.87/gallon × 25-gallon tank = $71.75 Day 18 24 in. × 18 in. × 12 in. = 5,184 in.3 Day 19 6 yrs. × 12 mo./yr. = 72 months of payments $16,973 (loan amount) ÷ 72 months = $235.74/month Day 20 $3.95 (triple scoop) + $4.55 (banana split) + $4.25 (milkshake) = $12.75 $15.00 − $12.75 = $2.25 in change Day 21 8:05 pm − 20 min. (drive) = 7:45 pm − 30 min. (standing in line) = 7:15 pm is when they left the house Day 22 1/8, 1/4, 1/3, 1/2, 5/8, 2/3, 3/4, 6/7 Day 23 150 calories × 8 sticky rolls = 1,200 calories
Units Answer Key • 121 2,800 calories/day − 1,200 calories of sticky rolls = 1,600 calories left Day 24 145 pages + 60 pages + 201 pages = 406 pages 406 pages ÷ 14 days = 29 pages/day Day 25 37.00 in. − 5.50 in. (January) = 31.50 in. − 3.75 in. (February) = 27.75 in. − 6.67 in. (March) = 21.08 in. deficit Day 26 In all, 14 people got the stomach virus on Captain Pete’s pirate ship.
Day 27 $379 cost of ticket ÷ $15/week allowance = 25.26 or 26 weeks Day 28 Jack = 15 mi. × $6/mile = $90 Patrick = 10 mi. × $6/mile = $60 Billy = 7 mi. × $6/mile = $42 Boys = $90 + $60 + $42 = $192 Boys and girls = $192 + $72.25 = $264.25
Kate = 12 mi. × $4.25/mile = $51 Shameka = 5 mi. × $4.25 = $21.25 Girls = $51 + $21.25 = $72.25
Day 29 Week 1 (13 houses) + Week 2 (19 houses) + Week 3 (13 houses) + Week 4 (19 houses) + Week 5 (13 houses) = 77 houses Day 30 1,284 ft.2 (area of walls) ÷ 300 ft.2/gallon = 4.28 gallons = 5 gallons of paint Day 31 25 rows × 20 chairs/row = 500 chairs 739 people − 500 chairs = 239 more chairs needed 239 ÷ 20 chairs/row = 11.95 or 12 more rows of chairs needed
122 • Units Answer Key Day 32—Quiz 2 1. $2.87/gallon × 25-gallon tank = $71.75 2. 25 rows × 20 chairs/row = 500 chairs 739 people − 500 chairs = 239 more chairs needed 239 ÷ 20 chairs/row = 11.95 or 12 more rows of chairs needed 3. hammer = adding; screwdriver = subtracting; gears = multiplying; saw= dividing; tape measure = measuring; level = averaging 4. 145 pages + 60 pages + 201 pages = 406 pages 406 pages ÷ 14 days = 29 pages/day 5. 24 in. × 18 in. × 12 in. = 5,184 in.3 Unit 3 Day 33 $1,100.00 (lease) + $95.72 (electric) + $445.34 (car) + $27.00 (credit card) = $1,668.06 Day 34 $4,000 (budget) − $1,250 (gown) = $2,750 − $734 (flowers) = $2,016 − $569 (cake) = $1,447 − $1,772 (pictures) = − $325 She went $325 over her budget. Day 35 3 years × 12 months/year = 36 months $3,300 (cost of 3 years) ÷ 36 months = $91.67/month Day 36 11:05 am (departure time) + 3:30 hours (first leg) = 2:35 pm + 2:30 hours (layover) = 5:05 pm + 1:10 hours (second leg) = 6:15 pm arrival to destination Day 37 597 adult tickets × $8.75 = $5,223.75; 93 senior tickets × $7.50 = $697.50; 431 children’s tickets × $6.25 = $2,693.75 $5,223.75 + $697.50 + $2,693.75 = $8,615.00 (total ticket sales) Day 38 $320.80 + $75.33 (deposit) = $396.13 + $116.52 (deposit) = $512.65 $512.65 − $40.00 (withdrawal) = $472.65 − $2.50 (service fee) = $470.15—new balance
Units Answer Key • 123 Day 39 Four girls were at the base of each pyramid.
Day 40 $300 (rental fee/night) × 7 days = $2,100 $2,100 + $150 (cleaning fee) = $2,250 + $60.50 (security fee) = $2,310.50 + $35.75 (garbage fee) = $2,346.25 + $25 (key fee) = $2,371.25 $2,371.25 ÷ 2 families = $1,185.63 per family Day 41 C = 2πr 2 × 3.14 × 13.25 ft. = 83.21 ft. in circumference Day 42 2,257 miles ÷ 300 miles/tank = 7.523 or 8 tanks of gas Day 43 340 miles + 215 miles + 409 miles = 964 miles 964 miles ÷ 3 days of driving = 321.33 miles Day 44 1,000 boxes (goal) − 236 boxes (Perry) = 764 boxes − 317 boxes (Julio) = 447 boxes − 182 boxes (Brandon) = 265 boxes − 99 boxes (Jay) = 166 boxes short of their goal Day 45 6,953 vehicles × 5 days/week × 52 weeks/year = 1,807,780; 1,008 vehicles × 2 days/week × 52 weeks/year = 104,832 1,807,780 + 104,832 = 1,912,612 vehicles crossed Hudson Bridge that year Day 46 13 tickets (Mon.) + 7 tickets (Tues.) + 12 tickets (Wed.) + 20 tickets (Thurs.) = 52 tickets 52 tickets × $125 each = $6,500 earned in speeding tickets
124 • Units Answer Key Day 47 $400 (total prize money) ÷ 2 (first place gets half the money) = $200 prize for first place $200 (remaining money) ÷ 2 (second place gets half the remaining money) = $100 prize for second place $100 (remaining money) ÷ 2 (third and fourth place are divided evenly) = $50 for third place and $50 for fourth place Day 48—Quiz 3 1. Adding and dividing 2. 2,257 miles ÷ 300 miles/tank = 7.523 or 8 tanks of gas 3. $320.80 + $75.33 (deposit) = $396.13 + $116.52 (deposit) = $512.65 $512.65 − $40.00 (withdrawal) = $472.65 − $2.50 (service fee) = $470.15—new balance 4. 1,000 boxes (goal) − 236 boxes (Perry) = 764 boxes − 317 boxes (Julio) = 447 boxes − 182 boxes (Brandon) = 265 boxes − 99 boxes (Jay) = 166 boxes short of their goal 5. 340 miles + 215 miles + 409 miles = 964 miles 964 miles ÷ 3 days of driving = 321.33 miles Unit 4 Day 49 26,000 (people signed up) − 21,958 (actual people) = 4,042 people didn’t show up Day 50 29,035 ft. ÷ 35 days = 829.57 ft./day Day 51 200,000 × 1/10 = 20,000 eggs with $1 bill; 200,000 × 2/5 = 80,000 blue eggs; 200,000 × 1/4 = 50,000 red eggs; 200,000 × 3/12 (1/4) = 50,000 yellow eggs Day 52 $4.10 (movie rental) + $2.99 (popcorn) + $0.99 (drink) + $0.99 (drink) + $4.10 (late fee 1) + $4.10 (late fee 2) + $4.10 (late fee 3) + $4.10 (late fee 4) + $4.10 (late fee 5) = $29.57 Day 53 2/3 cups × 2 = 1 1/3 cups margarine; 1 2/3 cups × 2 = 3 1/3 cups sugar; 3 eggs × 2 = 6 eggs; 2 1/4 cups × 2 = 4 1/2 cups flour; 1/4 tsp. × 2 = 1/2 tsp. baking powder; 1 tsp. × 2 = 2 tsp. salt; 1/2 cup × 2 = 1 cup cocoa; 1 tsp. × 2 = 2 tsp. soda Day 54 6:00 am + 45 minutes (breakfast) = 6:45 am + 30 minutes (drive) = 7:15 am + 1 hour, 30 minutes (reading e-mails) = 8:45 am + 75 minutes (exercise) = 10:00 am + 2 hours (class) = 12:00 pm + 15 minutes (break) = 12:15 pm + 2 hours (class) = 2:15 pm (eats lunch)
Units Answer Key • 125 Day 55 12 cookies/dozen × 6 dozen = 72 cookies 72 cookies ÷ 17 students = 4 cookies/student with 4 cookies left over Day 56 $9.50 (adult 1) + Free (adult 2) + $9.50 (adult 3) + Free (adult 4) + $3.25 + $3.25 + $3.25 + $3.25 = $32 Day 57 Perimeter = 275 ft. + 275 ft. + 227 ft. + 227 ft. = 1,004 ft. 1,004 ft. × 6 times around = 6,024 ft. Day 58 $500.00 (budget) − $112.13 (paint/supplies) = $387.87 − $157.32 (comforter/sheets) = $230.55 − $125.87 (window treatments) = $104.68 − $95.54 (lamps) = $9.14 − $72.69 (pictures) = − $63.55 She went $63.55 over her budget. Day 59 75 + 69 + 81 + 65 = 290 290 ÷ 4 = 72.5 test average He needs 150 points total to get a 75 average. 150 − 72.5 (test average) = 77.5 average for other grades Day 60 562 calories + 562 calories + 288 calories + 312 calories + 384 calories + 384 calories = 2,492 calories Day 61 $2 × 27 visits = $54 $65 (membership fee) + $54 (service charges) = $119 Day 62 Winter months Fall months Spring months Summer months 27 times/year
X XX XX XXXX
X XX XX XXXX
X XX XX XXXX
Day 63 5 ft., 5 in. − 4ft., 8 in. = 4ft., 17 in. − 4 ft., 8 in. = 9 in. of growth
(once/month) (twice/month) (twice/month) (once/week)
126 • Units Answer Key Day 64—Quiz 4 1. $500.00 (budget) − $112.13 (paint/supplies) = $387.87 − $157.32 (comforter/sheets) = $230.55 − $125.87 (window treatments) = $104.68 − $95.54 (lamps) = $9.14 − $72.69 (pictures) = − $63.55. She went $63.55 over her budget. 2. 2/3 cups × 2 = 1 1/3 cups margarine; 1 2/3 cups × 2 = 3 1/3 cups sugar; 3 eggs × 2 = 6 eggs; 2 1/4 cups × 2 = 4 1/2 cups flour; 1/4 tsp. × 2 = 1/2 tsp. baking powder; 1 tsp. × 2 = 2 tsp. salt; 1/2 cup × 2 = 1 cup cocoa; 1 tsp. × 2 = 2 tsp. soda 3. 562 calories + 562 calories + 288 calories + 312 calories + 384 calories + 384 calories = 2,492 calories 4. $9.50 (adult 1) + Free (adult 2) + $9.50 (adult 3) + Free (adult 4) + $3.25 + $3.25 + $3.25 + $3.25 = $32 5. perimeter; volume; area; measure; length; width; height; how long—any of these Unit 5 Day 65 100 yd. × 48 yd. = 4,800 yd.2 (Mr. Black’s pasture); 12 yd. × 7 yd. = 84 yd.2 (Mrs. Johnson’s yard) 4,800 yd.2 + 84 yd.2 = 4,884 yd.2 Day 66 $2,250 (Car B’s damage) $2,250 − $500 = $1,750 (Car C’s damage) = $1,250 (Car D’s damage) $2,250 + $1,750 + $1,250 = $5,250 total cost of the damage
$1,750 − $500
Day 67 Drop 8.5 and 9.5 8.8 + 9.0 + 9.2 = 27.0 27.0 ÷ 3 = 9.0 Day 68 9:30 am + 2 hours, 15 minutes (wedding arrangement) = 11:45 am + 30 minutes (lunch) = 12:15 pm + 3 hours, 45 minutes (deliveries) = 4:00 pm + 1 hour, 20 minutes (cleaning up) = 5:20 pm Day 69 6 times before practice + 6 times after practice = 12 times 12 times × 100 yd. = 1,200 yd. × 4 days = 4,800 yd. Day 70 50,362 nails ÷ 40 nails/container = 1,259 containers with 2 nails left over
Units Answer Key • 127 Day 71 16,000 ft. − 13,529 ft. = fell 2,471 ft. before he pulled the plug; 13,529 ft. − 10,773 ft. = met Jim 2,756 ft. after pulling the plug; 10,773 ft. − 7,810 ft. = picture taken after falling another 2,963 ft. Day 72 237 + 96 + 154 = 487 minutes total 487 minutes ÷ 60 minutes/hr. = 8 hours, 7 minutes Day 73 $49.61 × 0.15 (tip) = $7.44 tip Day 74 8 lbs., 9 oz. (Palmer) + 10 lbs., 5 oz. (Gran Gran) = 18 lbs., 14 oz. 7 lbs., 14 oz. (John) + 9 lbs., 6 oz. (Grandpa) = 16 lbs., 20 oz. Take 16 oz. and change to 1 lb. = 17 lbs. 4 oz. Palmer and Gran Gran win. Day 75 Total items = 15 Underwear = 5/15 or 1/3; shirts = 5/15 or 1/3; sweaters = 2/15; pants = 3/15 or 1/5 Day 76 School = 3/4 + 3/4 = 1 1/2 mi.; swim = 7/8 + 7/8 = 1 3/4 mi.; volunteer = 1 1/2 + 1 1/2 = 3 mi. 1 1/2 mi. (school) × 5 days = 7 1/2 mi.; 1 3/4 mi. (swim) × 2 days = 3 1/2 mi.; 3 mi. (volunteer) × 1 day = 3 mi. 7 1/2 mi. + 3 1/2 mi. + 3 mi. = 14 mi. of riding each skateboard/week Day 77 321,640 lbs. ÷ 37,400 gallons = 8.6 lbs./gallon Day 78 7 min. + 3.5 min. + 12 min. + 6.5 min. + 24 min. + 2 min. = 55 min. 55 min. ÷ 6 people equals 9.166 or about 9 minutes of wait time Day 79 14 flights × 18 steps/flight = 252 steps; 6 flights × 18 steps/flight = 108 steps 252 steps + 108 steps = 360 steps
128 • Units Answer Key Day 80—Quiz 5 1. 7 min. + 3.5 min. + 12 min. + 6.5 min. + 24 min. + 2 min. = 55 min. 55 min. ÷ 6 people = 9.166 or about 9 min. of wait time 2. Screwdriver 3. $2,250 (Car B’s damage) $2,250 − $500 = $1,750 (Car C’s damage) $1,750 − $500 = $1,250 (Car D’s damage) $2,250 + $1,750 + $1,250 = $5,250 total cost of the damage 4. $49.61 × 0.15 (tip) = $7.44 tip 5. 16,000 ft. − 13,529 ft. = fell 2,471 ft. before he pulled the plug; 13,529 ft. − 10,773 ft. = met Jim 2,756 ft. after pulling the plug; 10,773 ft. − 7,810 ft. = picture taken after falling another 2,963 ft. Unit 6 Day 81 50,000 − 22,993 (upper level) = 27,007 − 5,706 (club level) = 21,301 − 17,982 (lower level) = 3,319 − 3,033 (dugout level) = 286 unsold tickets Day 82 $1.59 × 7 shirts = $11.13; $3.50 × 4 slacks = $14.00; $5.00 × 2 sweaters = $10.00 $11.13 + $14.00 + $10.00 = $35.13 Day 83 5 + 6 + 3 + 4 = 18 fruits 6/18 or 1/3 chance for a banana; 4/18 or 2/9 chance for a strawberry; 3/18 or 1/6 chance for an orange; 5/18 chance for an apple Day 84 $78 ÷ 25 gallons = $3.12/gallon Day 85 230 + 190 + 110 = 530 total calories eaten 530 calories ÷ 2,800 daily calories = .189 or 19% Day 86 10:00 am + 1 hour, 15 minutes = 11:15 am + 3 hours, 30 minutes = 2:45 pm + 25 minutes = 3:10 pm Day 87 3 doz. chocolate + 2 doz. blueberry + 4 doz. cinnamon + 1/2 doz. lemon = 9 1/2 doz. 9 1/2 doz. × 12 doughnuts/dozen = 114 doughnuts 114 doughnuts × $0.89 = $101.46
Units Answer Key • 129 Day 88 385 ft. × 12 in./ft. = 4,620 in. 4,620 in. × 1/2 = 2,310 in. 2,310 in. ÷ 8 in./stake = 288.75 or 289 stakes Day 89 Take out 7.7 and 8.8 8.3 + 8.0 + 8.0 + 8.5 = 32.8 32.8 ÷ 4 = 8.2 average Day 90 1/2 of 10 boys = 5 boys 5 boys × 3 cans = 15 cans; 5 boys × 5 cans = 25 cans 1/4 of 16 girls = 4 girls; 3/4 of 16 girls = 12 girls 4 girls × 2 cans = 8 cans; 12 girls × 4 cans = 48 cans 15 cans + 25 cans + 8 cans + 48 cans = 96 cans total Day 91 24.5 mi. + 16.3 mi. + 22.9 mi. + 17.6 mi. = 81.3 mi. Day 92 1,525 points × 52 round—trip tickets = 79,300 points earned 100,000 points needed − 79,300 points earned = 20,700 points needed to earn a free ticket Day 93 126 appendicular bones ÷ 206 bones total = .611 or 61% appendicular; 80 axial bones ÷ 206 bones total = .388 or 39% axial Day 94 3 ft. × 3 ft. = 9 ft.2 (area of a student desk); 6 ft. × 3 ft. = 18 ft.2 (area of the teacher’s desk) 9 ft.2 × 25 students = 225 ft.2 225 ft.2 (student desks) + 18 ft.2 (teacher’s desk) + 30 ft.2 (walkway) = 273 ft.2 Day 95 $4,209.00 × 0.35 (housing) = $1,473.15; $4,209.00 × 0.18 (car/insurance) = $757.62; $4,209.00 × 0.15 (bills) = $631.35; $4,209.00 × 0.10 (savings) = $420.90; $1,473.15 + $757.62 + $631.35 + $420.90 = $3,283.02; $4,209.00 − $3,283.02 = $925.98 for food/entertainment
130 • Units Answer Key Day 96—Quiz 6 1. You are dividing something into equal pieces. 2. 24.5 mi. + 16.3 mi. + 22.9 mi. + 17.6 mi. = 81.3 mi. 3. $78 ÷ 25 gallons = $3.12/gallon 4. 385 ft. × 12 in./ft. = 4,620 in. 4,620 in. × 1/2 = 2,310 in. 2,310 in. ÷ 8 in./stake = 288.75 or 289 stakes 5. $1.59 × 7 shirts = $11.13; $3.50 × 4 slacks = $14.00; $5.00 × 2 sweaters = $10.00 $11.13 + $14.00 + $10.00 = $35.13 Unit 7 Day 97 1 decade = 10 years; therefore, 2 decades = 20 years 104 weeks ÷ 52 weeks/year = 2 years Prison sentence = 20 years + 2 years = 22 years Community service = 548 hours ÷ 4 hours = 137 days Day 98 240 yds. + 240 yds. + 140 yds. + 140 yds. = 760 yds. (perimeter) 760 yds. × 5 times = 3,800 yds. total 3,800 yds. ÷ 1,760yds./mile = 2.159 miles Day 99 $78 + $56 = $134 total cost of sweaters $134.00 × 0.30 (discount) = $40.20 savings $134.00 − $40.20 = $93.80 total cost of sweaters after discount Day 100 11:07 am + 10 minute bike ride = 11:17 am 12:30 pm (end time) − 11:17 am (start time) = 1 hour, 13 minutes of basketball 12:30 pm + 15-minute bike ride = 12:45 pm 3:12 pm (end time) − 12:45 pm (start time) = 2 hours, 27 minutes at movies 3:12 pm + 24-minute bike ride = 3:36 pm 5:45 pm (end time) − 3:36 pm (start time) = 2 hours, 9 minutes at arcade Day 101 $4 + $4 + $4 + $6 + $6 + $6 + $6 + $8 + $8 + $8 = $60 spent before receiving free item
Units Answer Key • 131 Day 102 January: 1,000 minutes − 890 minutes used = 110 minutes under plan February: 1,000 minutes + 110 rollover minutes = 1,110 minutes − 1,121 minutes used = 11 minutes over plan March: 1,000 minutes − 1,060 minutes used = 60 minutes over plan April: 1,000 minutes − 955 minutes used = 45 minutes under plan May: 1,000 minutes + 45 rollover minutes = 1,045 minutes − 1,230 minutes used = 185 minutes over plan June: 1,000 minutes − 983 minutes used = 17 minutes under plan Kia went over her minutes in February by 11 minutes, in March by 60 minutes, and in May by 185 minutes. Day 103 $593 + $370 + $822 + $156 + $409 + $541 = $2,891 $2,891 ÷ 6 people = $481.83 Day 104 $1.75/wash × 4 loads = $7.00; $2.00/dry × 4 loads = $8.00 $7.00 (wash) + $8.00 (dry) = $15.00 $15.00 ÷ $0.25 = 60 quarters Day 105 35 + 10 + 7 + 18 = 70 birds and butterflies 10/70 or 1/7 for redbirds; 18/70 or 9/35 for hummingbirds; 35/70 or 1/2 for butterflies; 7/70 or 1/10 for parrots Day 106 2085 (present year) − 37 years old = 2048 (year created) 2174 (future year) − 2048 (year created) = 126 years old in 2174 Day 107 7:30 am + 10-minute stop = 7:40 am + 13-minute stop = 7:53 am + 16-minute traffic jam = 8:09 am 8:09 am (today’s arrival time) − 7:30 am (expected arrival time) = 39 minutes late Day 108 350 total accounts × 1/5 orange accountants = 70 accounts; 350 total accounts × 3/5 green accountants = 210 accounts; 350 total accounts × 1/5 blue accountants = 70 accounts 70 orange accounts ÷ 10 accountants = 7 orange accounts each; 210 green accounts ÷ 15 accountants = 14 green accounts each; 70 blue accounts ÷ 5 accountants = 14 blue accounts each
132 • Units Answer Key Day 109 5,736 yds. × 3 ft./yd. = 17,208 ft. 17,208 ft. total ÷ 1,500 ft./stop = 11.47 = Round to 11 times to stop. Day 110 25 couples × 2 adults/couple = 50 adults; 36 couples × 2 adults/couple = 72 adults; 36 couples × 2 kids/couple = 72 kids; 18 couples × 2 adults/couple = 36 adults; 18 couples × 3 kids/couple = 54 kids 50 adults + 72 adults + 72 kids + 36 adults + 54 kids = 284 total people invited 50 adults + 72 adults + 36 adults = 158 adults invited Day 111
17 people/honor student × 6 honor students = 102 students participated 1 honor student
Day 112—Quiz 7 1. $1.75/wash × 4 loads = $7.00; $2.00/dry × 4 loads = $8.00 $7.00 (wash) + $8.00 (dry) = $15.00 $15.00 ÷ $0.25 = 60 quarters 2. The level, hammer, and saw 3. $78 + $56 = $134 total cost of sweaters $134.00 × 0.30 (discount) = $40.20 savings $134.00 − $40.20 = $93.80 total cost of sweaters after discount 4. $593 + $370 + $822 + $156 + $409 + $541 = $2,891 $2,891 ÷ 6 people = $481.83 5. 2085 (present year) − 37 years old = 2048 (year created) 2174 (future year) − 2048 (year created) = 126 years old in 2174
Units Answer Key • 133 Unit 8 Day 113 14th birthday 13th birthday 15th birthday 14th birthday 16th birthday 15th birthday
5 ft., 1 in. (borrow 12 in. from 5 ft.) = 4 ft., 13in. − 3ft., 6 in. − 3 ft., 6 in. growth in first year = 1 ft., 7 in. 6 ft., 9 in. − 5 ft., 1 in. 1 ft., 8 in. = growth in second year 7 ft., 5 in. (borrow 12 in. from 7ft.) = 6 ft., 17 in. − 6 ft., 9 in. − 6 ft., 9 in. growth in third year = 8 in.
Day 114 6 + 4 + 7 + 2 + 4 + 1 = 24 markers 6/24 or 1/4 yellow markers; 4/24 or 1/6 green markers; 7/24 red markers; 2/24 or 1/12 pink markers; 4/24 or 1/6 black markers; 1/24 blue markers Day 115 5 years × 12 mo./yr. = 60 months $580/mo. × 60 mo. = $34,800 $37,152 − $34,800 = $2,352 savings
6 years × 12 mo./yr. = 72 months $516/mo. × 72 mo. = $37,152
Day 116 22in. × 12in. × 9in. = 2,376 in.3 2,376 in.3 ÷ 1,000 in.3 = 2.376 food packs/box (round to nearest whole number = 2) 84 food packs ÷ 2 food packs/box = 42 boxes Day 117 Must convert each of the fractions using the common denominator of 8. 3 1/4 = 3 2/8; 1 7/8 no change; 2 1/2 = 2 4/8; 4 3/4 = 4 6/8; 2 3/8 no change 3 2/8 + 1 7/8 + 2 4/8 + 4 6/8 + 2 3/8 = 12 22/8 convert improper fraction to mixed number = 2 6/8 = 2 3/4 12 wholes + 2 3/4 fraction parts = 14 3/4 in. Day 118 Year 2015 − 1996
Month 32 11
2015 2014 − 1996
2 14 11
Day 13 43 (borrow 30 days from 3 months) 28 15
18 years, 3 months, 15 days old
(borrow 12 months from the year 2015)
134 • Units Answer Key Day 119 25 × $100 = $2,500; 58 × $20 = $1,160; 120 × $10 = $1,200 $2,500 + $1,160 + $1,200 = $4,860 $4,860 × 10% = $486 $486 ÷ 4 boys = $121.50 reward for each boy Day 120 17 × $20 = $340; 61 × $10 = $610; 49 × $5 = $245; 22 × $1 = $22; 35 × $0.25 = $8.75; 66 × $0.10 = $6.60; 57 × $0.05 = $2.85; 8 × $0.01 = $0.08 $340.00 + $610.00 + $245.00 + $22.00 + $8.75 + $6.60 + $2.85 + $0.08 = $1,235.28 Day 121 $371 + $428 + $219 + $275 + $346 = $1,639 $1,639 ÷ 5 rings = $327.80 Day 122 4:04 + 4:04 + 3:50 + 3:50 + 3:50 + 2:38 + 2:38 + 5:25 + 3:11 = 31:70 or 32 min., 10 sec. Day 123 13 ft. × 12 ft. = 156 ft.2 89 plants = 89 ft.2 156 ft.2 − 89 ft.2 = 67 plants eaten Day 124 32 people ÷ 1/2 lb. meat each = 16 lbs. of meat 16 lbs. of meat × 1/2 (eat beef) = 8 lbs. of beef ;16 lbs. of meat × 1/4 (eat chicken) = 4 lbs. of chicken; 16 lbs. of meat × 1/4 (eat pork) = 4 lbs. of pork 8 lbs. beef × $4.49/lb. = $35.92; 4 lbs. chicken × $2.99/lb. = $11.96; 4 lbs. pork × $3.49/lb. = $13.96 $35.92 (beef) + $11.96 (chicken) + $13.96 (pork) = $61.84 Day 125 (Man putting quarters into meters) 33 people received quarters
*does not factor into count
Units Answer Key • 135 Day 126 8 yrs. × 12 mo./yr. = 96 mo. $120,000 × .30 (payment now) = $36,000 $120,000 − $36,000 = $84,000 $84,000 ÷ 96 mo. = $875/mo. Day 127 Electric = $132.16 × 0.05 = $6.61 Water = $40.75 × 0.05 = $2.04 Cable = $86.09 × 0.05 = $4.30 Credit card = $210.89 × 0.05 = $10.54
$132.16 + $6.61 = $138.77 $40.75 + $2.04 = $42.79 $86.09 + $4.30 = $90.39 $210.89 + $10.54 = $221.43
Day 128—Quiz 8 1. $371 + $428 + $219 + $275 + $346 = $1,638 $1,638 ÷ 5 rings = $327.60 2. 14th birthday 5 ft., 1 in. (borrow 12 in. from 5 ft.) = 4 ft., 13 in. − 3 ft., 6 in. 13th birthday − 3 ft., 6 in. growth in first year = 1 ft., 7 in. 15th birthday 6 ft., 9 in. 14th birthday − 5 ft., 1 in. 1 ft., 8 in. = growth in second year 16th birthday 7 ft., 5 in. (borrow 12 in. from 7 ft.) = 6 ft., 17 in. 15th birthday − 6 ft., 9 in. − 6 ft., 9 in. growth in third year = 8 in. 3. Must convert each of the fractions using the common denominator of 8. 3 1/4 = 3 2/8; 1 7/8 no change; 2 1/2 = 2 4/8; 4 3/4 = 4 6/8; 2 3/8 no change 3 2/8 + 1 7/8 + 2 4/8 + 4 6/8 + 2 3/8 = 12 22/8 convert improper fraction to mixed number = 2 6/8 = 2 3/4 12 wholes + 2 3/4 fraction parts = 14 3/4 in. 4. Electric = $132.16 × .05 = $6.61 $132.16 + $6.61 = $138.77 Water = $40.75 × .05 = $2.04 $40.75 + $2.04 = $42.79 Cable = $86.09 × .05 = $4.30 $86.09 + $4.30 = $90.39 Credit card = $210.89 × .05 = $10.54 $210.89 + $10.54 = $221.43 2 5. 13 ft. × 12 ft. = 156 ft. 89 plants = 89 ft.2 156 ft.2 − 89 ft.2 = 67 plants eaten Unit 9 Day 129 5 + 13 + 7 = 25 total creatures 5/25 = 1/5 are hermit crabs; 13/25 are salamanders; 7/25 are tree frogs
136 • Units Answer Key Day 130 Must convert each of fractions using common denominator of 4. (May = 3 1/2 = 3 2/4) 4 3/4 in. + 1 1/4 in. + 3 2/4 in. + 2 in. + 5 1/4 = 15 7/4 in. or 16 3/4 in. Day 131 75 mph − 45 mph = 30 mph over speed limit 30 mph × $15 fine/mph = $450 $125 flat fee + $450 overage = $575 Day 132 Math Reading
6.8 + 7.4 = 14.2 5.9 + 6.5 = 12.4
14.2 ÷ 2 = 7.1 12.4 ÷ 2 = 6.2
Day 133 8 glasses × 8 oz/glass = 64 oz. There are 128 oz./gallon. 64 oz. is 1/2 of 128 oz., so 64 oz. = 1/2 gallon water/day 7 days/week × 1/2 gallon/day = 3 1/2 gallons/week Day 134 40 minute lesson + 10 minute break = 50 minutes 8 hour workday × 60 minutes/hour = 480 minutes 480 min. ÷ 50 minutes = 9.6 lessons or 9 lessons Day 135 1/2 c. butter × 3 = 1 1/2 c. butter; 1 c. sugar × 3 = 3 c. sugar; 1 tsp. vanilla × 3 = 3 tsp. vanilla; 4 eggs × 3 = 12 eggs; 1 1/4 c. flour × 3 = 3 3/4 c. flour; 1/2 tsp. baking soda × 3 = 1 1/2 tsp. baking soda; 1 1/2 c. chocolate syrup × 3 = 4 1/2 c. chocolate syrup $20 + $20
Day 136
$20 + $20 $20 + $20
$20 $20 + $20
$20 + $20
The total amount of money given away was $520
$20 + $20 $20
$20 + $20
$20 + $20 $20 + $20
$20 + $20
$20 + $20 $20 + $20
Units Answer Key • 137 Day 137 12,000 pecks/day ÷ 24 hours/day = 500 pecks/hour; 500 pecks/hour ÷ 60 minutes/hour = 8.33 pecks/minute Day 138 $131.33 + $65.49 + $120.75 + $78.12 + $105.55 + $96.43 = $597.67 $597.67 ÷ 3 months of groceries = $199.22/month Day 139 $213.50/share × 150 shares = $32,025.00; $71.25/share × 150 shares = $10,687.50 $32,025.00 − $10,687.50 = $21,337.50 loss Day 140 $450 + $450 + $450 + $450 + $1,630 + $255 + $715 = $4,400 Day 141 1 century = 100 years; 1 decade = 10 years 100 − (5 × 10) − 6 = 100 − 50 − 6 = 44 years old Day 142 Kent = 3 ÷ 4 = 0.75 or 75%; Sutton = 7 ÷ 8 = 0.875 or 87.5%; Grant = 1 ÷ 3 = 0.333 or 33%; Janice = 3 ÷ 8 = 0.375 or 37.5%; Rachel = 5 ÷ 6 = 0.8333 or 83%; Olivia = 1 ÷ 2 = 0.50 or 50% Day 143 6:30 am + 2 hours, 15 minutes (driving) = 8:45 am + 30 minutes (breakfast) = 9:15 am + 3 hours, 30 minutes (driving) = 12:45 pm + 45 minutes (lunch/restroom) = 1:30 pm + 3 hours, 10 minutes (driving) = 4:40 pm arrival Day 144—Quiz 9 1. $450 + $450 + $450 + $450 + $1,630 + $255 + $715 = $4,400 2. 1/2 c. butter × 3 = 1 1/2 c. butter; 1 c. sugar × 3 = 3 c. sugar; 1 tsp. vanilla × 3 = 3 tsp. vanilla; 4 eggs × 3 = 12 eggs; 1 1/4 c. flour × 3 = 3 3/4 c. flour; 1/2 tsp. baking soda × 3 = 1 1/2 tsp. baking soda; 1 1/2 c. chocolate syrup × 3 = 4 1/2 c. chocolate syrup 3. Must convert each of fractions using common denominator of 4. (May = 3 1/2 = 3 2/4) 4 3/4 in. + 1 1/4 in. + 3 2/4 in. + 2 in. + 5 1/4 = 15 7/4 in. or 16 3/4 in. 4. $131.33 + $65.49 + $120.75 + $78.12 + $105.55 + $96.43 = $597.67 $597.67 ÷ 3 months of groceries = $199.22/month 5. 12,000 pecks/day ÷ 24 hours/day = 500 pecks/hour; 500 pecks/hour ÷ 60 minutes/hour = 8.33 pecks/minute
138 • Units Answer Key Unit 10 Day 145 5 hours × $25/hour = $125; 4 1/2 (or 4.5) hours × $25/hour = $112.50; 3 1/4 (or 3.25) hours × $25/hour = $81.25 $125.00 + $112.50 + $81.25 = $318.75 Day 146 6 1/2 (or 6 .5) miles + 5 1/4 (or 5.25) miles + 7 miles + 8 3/4 (or 8.75) miles + 5 miles + 12 1/2 (or 12.5) miles = 45 miles 45 miles ÷ 6 days = 7.5 miles/day on average Day 147 2 1/2 (or 2.5) yards × 36 inches/yard = 90 inches 120 inches total − 90 inches of material = 30 inches needed Day 148 10 lbs., 1 oz. − 8 lbs., 3 oz.
10 lbs. (borrow 16 oz. = 9 lbs., 1 oz. + 16 oz. = 17 oz.) = 9 lbs., 17 oz. − 8 lbs., 3 oz. 1 lb., 14 oz.
Day 149 $69.95 + $75.00 + $259.99 = $404.94 $404.94 × 0.08 (tax rate) = $32.395 or $32.40 $404.94 + $32.40 = $437.34 Day 150 Chocolate-colored = 3/10; black = 2/10 or 1/5; golden = 4/10 or 2/5; spotted = 1/10 Day 151 $896.32 ÷ 52 weeks/year = $17.236 or $17.24/week Day 152 365 days/year × 4 years of service = 1,460 days 1,460 days − 1,027 days = 433 days of medical disability Day 153 50,091 (Turner Field) + 39,928 (Fenway Park) + 41,118 (Wrigley Field) + 46,564 (Humphrey Metrodome) = 177,701 177,701 ÷ 4 = 44,425.25 or 44,425 seats
Units Answer Key • 139 Day 154 1 and 1
2 and 1
3 and 1
4 and 1
5 and 1
6 and 1
1 and 2
2 and 2
3 and 2
4 and 2
5 and 2
6 and 2
1 and 3
3 and 2
3 and 3
4 and 3
5 and 3
6 and 3
1 and 4
2 and 4
3 and 4
4 and 4
5 and 4
6 and 4
1 and 5
2 and 5
3 and 5
4 and 5
5 and 5
6 and 5
1 and 6
2 and 6
3 and 6
4 and 6
5 and 6
6 and 6
There are 21 combinations when rolling a pair of dice, excluding the opposite pairs. Day 155 Player 1 = 7 ft., 2 in. 7 ft. × 12 in./ft. = 84 in. + 2 in. = 86 in. Player 2 = 82 in. Player 3 = 84 in. Player 4 = 6 ft., 7 in. 6 ft. × 12 in./ft. = 72 in. + 7 in. = 79 in. Shortest to tallest = Player 4, Player 2, Player 3, Player 1 Day 156 $45.00 × 0.15 (discount) = $6.75; $45.00 − $6.75 = $38.25 (adjusted cost) × 0.10 (additional discount) = $3.82; $38.25 − $3.82 = $34.43 (adjusted cost after two discounts) $34.43 × 0.07 (tax rate) = $2.41; $34.43 + $2.41 = $36.84 Day 157 1/2 c. + 1/2 c. + 4 c. + 8 c. + 8 c. = 21 c./day 21 c./day × 7 days/week = 147 c./week 147 c./week ÷ 16 c./gallon = 9.1875 or 10 gallons of milk/week Day 158 81 students + 2 band directors = 83 people 83 people × 2 slices/person = 166 slices 166 slices ÷ 12 slices/pizza = 13.8 pizzas (or 14 whole pizzas needed) Day 159 1:27 pm (flight departure) − 2 hours, 30 minutes (early to airport) = 10:57 am − 45 minutes (drive to airport) = 10:12 am − 1 hour, 20 minutes (meeting) = 8:52 am (arrived at work)
140 • Units Answer Key Day 160—Quiz 10 1. $896.32 ÷ 52 weeks/year = $17.236 or $17.24/week 2. 6 1/2 (or 6 .5) miles + 5 1/4 (or 5.25) miles + 7 miles + 8 3/4 (or 8.75) miles + 5 miles + 12 1/2 (or 12.5) miles = 45 miles 45 miles ÷ 6 days = 7.5 miles/day 3. 10 lbs., 1 oz. 10 lbs. (borrow 16 oz. = 9 lbs., 1 oz. + 16 oz. = 17 oz.) = 9 lbs., 17 oz. − 8 lbs., 3 oz. − 8 lbs., 3 oz. 1 lb., 14 oz. 4. Chocolate-colored = 3/10; black = 2/10 or 1/5; golden = 4/10 or 2/5; spotted = 1/10 5. $69.95 + $75.00 + $259.99 = $404.94 $404.94 × 0.08 (tax rate) = $32.395 or $32.40 $404.94 + $32.40 = $437.34 Unit 11 Day 161 80 ft. × 35 ft. = 2,800 square ft. of floor space; 2 ft. × 2 ft. = 4 square ft. per carpet tile 2,800 square ft. (floor space) ÷ 4 square ft. (carpet tile) = 700 carpet tiles needed Day 162 25 invitations were given out 1
2
3
4
5
6
7
8
9
10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100
Day 163 220 wpm + 190 wpm + 150 wpm = 560 560 ÷ 3 = 186.66 or 187 wpm on average Day 164 20 coupon books × $12/book = $240 $300 (goal) − $240 (books sold) = $60 short of goal $60 ÷ $12 = 5 more books needed to meet goal Day 165 $250.00 − $89.72 (shoes) = $160.28 − $108.56 (jeans/shirts) = $51.72 − $16.94 (lunch) = $34.78—amount she can spend at the music store
Units Answer Key • 141 Day 166 Sunday at 1:36 pm to Monday at 1:36 pm is 24 hours; Monday to Tuesday is another 24 hours: Tuesday to Wednesday is another 24 hours: Wednesday to Thursday is another 24 hours; Thursday at 1:36 pm to Friday at 6:12 am is 16 hours, 36 minutes; 24 hours × 4 days = 96 hours; 96 hours + 16 hours, 36 minutes = 112 hours, 36 minutes on vacation Day 167 $16.45 ÷ $0.07/can = 235 cans recycled Day 168 5,120 × $35,000/ acre = $17,920,000; 5,120 acres ÷ 640 acres/ square mi. = 8 square miles; 3/8 × 8 square miles = 3 square miles for golf course; 5/8 × 8 square miles = 5 square miles for the neighborhood Day 169 16 + 25 + 40 + 19 = 100 balloons 16/100 = 4/25 red; 25/100 = 1/4 blue; 40/100 = 2/5 silver; 19/100 gold Day 170 1,725 nickels × $0.05 = $86.25; 5,990 pennies × $0.01 = $599.00; 2,048 × $0.10 = $204.80; 683 × $0.25 = $170.75 $86.25 + $599.00 + $204.80 + $170.75 = $1,060.80 Day 171 1,067,587 hits − 346,951 hits = 720,636 hits from Monday to Sunday Day 172 200 × 1/4 = 50 Cokes; 200 × 3/8 = 75 Cherry Cokes; 200 × 1/8 = 25 Sprites; 200 × 1/4 = 50 Diet Cokes Day 173 $5,670 (Allison’s tuition) + $100 (reg. fee) + $350 (matriculation fee) + $4,780 (Zach’s tuition) + $100 (reg. fee) + $350 (matriculation fee) = $11,350 Day 174 100 in. ÷ 12 in./ft. = 8.33 ft. long 50 in. ÷ 12 in./ft. = 4.16 ft. wide 8.33 ft. + 3 ft. = 11.33 ft. rounded up to 11 1/2 ft.; 4.16 ft. + 3 ft. = 7.16 ft. rounded up to 7 1/2 ft. Room dimensions: 11 1/2 ft. by 7 1/2 ft.
142 • Units Answer Key Day 175 2.5 gallons/bucket × 128 oz./gallon = 320 oz./bucket 320 oz./bucket ÷ 3 oz.(single scoop) = 106.6666 or 106 single scoops/bucket; 320 oz./bucket ÷ 5 oz.(double scoop) = 64 double scoops/bucket Day 176—Quiz 11 1. $250.00 − $89.72 (shoes) = $160.28 − $108.56 (jeans/shirts) = $51.72 − $16.94 (lunch) = $34.78—amount she can spend at the music store 2. 220 wpm + 190 wpm + 150 wpm = 560 560 ÷ 3 = 186.66 or 187 wpm on average 3. 1,725 nickels × $0.05 = $86.25; 5,990 pennies × $0.01 = $599.00; 2,048 × $0.10 = $204.80; 683 × $0.25 = $170.75 $86.25 + $599.00 + $204.80 + $170.75 = $1,060.80 4. hammer = addition; screwdriver = subtraction; gears = multiplication; saw = division; tape measure = measuring; level = averaging 5. $16.45 ÷ $0.07/can = 235 cans recycled Day 177 Measure Your Word Problem Abilities 1 Answers will vary. Please read these to give you feedback on each student’s growth. Day 178 Measure Your Word Problem Abilities 2 1. D, FF
2. F, EE
3. B, DD
4. E, BB
5. C, AA
Day 179 Measure Your Word Problem Abilities 3 1. 78 + 89 + 95 + 65 + 81 + 100 + 88 + 70 + 57 + 92 + 80 + 0 = 895 895 ÷ 12 = 74.58 or 75 2. 16 ft. + 16 ft. + 12 ft. + 12 ft. = 56 ft. Day 180 Free day! Celebrate!
6. A, CC
Hard Hat Thinking Answer Key to Solving Word Problems for Life, Grades 6–8 Hard Hat Thinking 1 1. 6 hours × 60 min./hr. = 360 min. 20 min. tour + 20 min. tour + 5 min. break = 45 min. cycle 360 min. ÷ 45 min. cycle = 8 tours in 6 hours 2. Area of brick = 8 in. × 3 in. = 24 in.2 Dimensions of patio: 5 ft. × 12 in./ft. = 60 in. and 4 ft. × 12 in./ft. = 48 in. Area of patio = 60 in. × 48 in. = 2,880 in.2 2,880 in.2 ÷ 24 in.2 = 120 bricks are needed 3. 128 ounces = 1 gallon Milk = 8 kids × 8 oz. × 5 days/week = 320 oz./week Juice = 8 kids × (8 oz. lunch + 4 oz. snack) × 5 days = 480 oz./week Milk = 320 oz. ÷ 128 oz./gal. = 2.5 gal., rounded up to 3 gallons Juice = 480 oz. ÷ 128 oz./gal. = 3.75 gal., rounded up to 4 gallons 4. 11 pizzas × 8 slices each = 88 slices total 88 slices ÷ 28 students = 3 slices each with 4 slices left over 28 students – 7 students absent = 21 students present 88 slices ÷ 21 students = 4 slices each with 4 slices left over 5. Convert measurements to a common denominator of 16: Kyle 5 ft., 3 1/4 in. = 5 ft., 4/16 (multiplied by 4) Alexis 3 ft., 1 3/8 in. = 3 ft., 6/16 (multiplied by 2) Robert 4 ft., 2 5/16 in. = 4 ft., 5/16 in. (no change) Austin 7 ft., 5 1/4 in. = 7 ft., 4/16 in. (multiplied by 4) Desiree 2 ft., 9 7/8 in. = 2 ft., 14/16 in. (multiplied by 2) Add the fractions = 4/16 + 6/16 + 5/16 + 4/16 + 14/16 = 33/16 Add the whole numbers = 5 + 3 + 4 + 7 + 2 = 21 ft. Change improper fraction to a mixed number = 33/16 = 2 ft. 1/16 in. Add = 21 ft. + 2 ft. 1/16 in. = 23 ft. 1/16 in.
144 • Hard Hat Thinking Answer Key Hard Hat Thinking 2 1. Jan 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31 Feb 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28 Mar 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30 91 days × 3 mi./day = April 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29 273 mi. May 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31 June 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30 July 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30 Aug 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31 Sept 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30 92 days × 5 mi./day = Oct 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30 460 mi. Nov 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29 Dec 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31 273 mi. + 460 mi. = 733 mi. 2. Bedroom 20 ft. × 18 ft. = 360 ft.2 Guest bedroom 10 ft. × 12 ft. = 120 ft.2 Bathroom 1 5 ft. × 3 ft. = 15 ft.2 Bathroom 2 5 ft. × 3 ft. = 15 ft.2 Kitchen/dining area 20 ft. × 10 ft. = + 200 ft.2 710 ft.2 1,000 ft.2 − 710 ft.2 = 290 ft.2 (den area) 3. 15 hrs./week × $8.25 = $123.75 $123.75 × 0.17 (taxes) = $21.0375 or $21.04 $123.75 − $21.04 = $102.71 (net pay) $1,500.00 (yearly insurance) ÷ $102.71 (net pay/week) = 14.60 weeks or 15 weeks 4. Year 1 $125.00 × 0.07 (interest earned) = $8.75 $125.00 + $8.75 = $133.75 Year 2 $133.75 + $125.00 = $258.75 $258.75 × 0.07 = $18.11 $258.75 + $18.11 = $276.86 Year 3 $276.86 + $125.00 = $401.86 $401.86 × 0.07 = $28.13 $401.86 + $28.13 = $429.99 5. First month $225.00 (original balance) × 0.079 (interest/month) = $17.78 $225.00 + $17.78 = $242.78 − $15.00 (min. payment) = $227.78 Second month $227.78 × 0.079 (interest/month) = $17.99 $227.78 + $17.99 = $245.77 − $15.00 (min. payment) = $230.77 Hard Hat Thinking 3 1. $15 × 40 hrs./week = $600 53 hours − 40 hours (regular pay) = 13 hours (overtime pay) $15 × 1.5 (time and a half) = $22.50/hr. $22.50 × 13 hrs. overtime = $292.50 $600.00 (regular pay) + $292.50 (overtime pay) = $892.50
Hard Hat Thinking Answer Key • 145 2. $130,000 + $50,000 + $82,750 + $61,000 + $101,375 + $44,900 = $470,025 $470,025 ÷ 6 incomes = $78,337.50 3. Sunny = 180 predicted ÷ 212 actual = 0.849 or 85% correct Rainy = 62 actual ÷ 95 predicted = 0.652 or 65% correct Snowy = 22 actual ÷ 24 predicted = 0.916 or 92% correct Partly cloudy = 66 predicted ÷ 69 actual = 0.956 or 96% correct 4. $2.02 (card) + $0.44 (stamp) = $2.46 $2.46 × 12,634 employees = $31,079.64 5. $65 (orig. price) × 0.20 = $13 profit $65 (orig. price) × 0.30 (discount) = $19.50 off $65 − $19.50 = $45.50 $45.50 (orig. price less discount) × 0.20 = $9.10 profit $65 (orig. price) × 0.90 (discount) = $58.50 $65 − $58.50 = $6.50 $6.50 (orig. price less discount) × 0.20 = $1.30 profit Hard Hat Thinking 4 1. 30,500 chickens − 5,000 to son-in-law = 25,500 remaining chickens 25,500 chickens × 2/3 to chicken packaging plant = 17,085 chickens 25,500 chickens × 1/3 to another farmer = 8,415 chickens 2. 75 shares + 75 shares (additional purchase) = 150 shares 150 shares × $25/share = $3,750 $3,750 worth of stock × 0.17 increase = $637.50 profit $3,750 + $637.50 (profit) = $4,387.50 3. 128,970,393 births − 56,202,306 deaths 72,768,087 more births than deaths 4. $1,112.73 × 12 mo./yr. × 30 yr. = $400,528.80 $1,500.24 × 12 mo./yr. × 15 yr. = $270,043.20 $400,528.80 − $270,043.20 = $130,485.60 savings 5. Three services: $55 (high-lights) + $25 (haircut) + $10 (wax) = $90 Two services: $55 (high-lights) + $25 (haircut) = $80 $7,000 ÷ $90 = 77.777 or 78 customers who want all three services $7,000 ÷ $80 = 87.5 or 88 customers who want two services $7,000 ÷ $25 = 280 customers who only want haircuts Hard Hat Thinking 5 1. 6,079,006,982 people in 2000 – 2,555,360,972 people in 1950 3,523,646,010 more people in 2000
146 • Hard Hat Thinking Answer Key 2. $127.52 × 0.18 (tip) = $22.95 $127.52 + $22.95 = $150.47 $150.47 ÷ 2 = $75.23 per couple Couple A = $75.23 Couple B = $75.23 − $25 (gift certificate) = $50.23 3. 4-way stops 25 × 4 = 100 3-way stops 16 × 3 = 48 1-way stops 51 100 + 48 + 51 = 199 stop signs 199 stop signs × $150/sign = $29,850 to replace all the stop signs 4. 25,500 tickets × $25 tickets = $637,500 15,000 tickets × $35 tickets = $525,000 $637,500 + $525,000 = $1,162,500 total ticket sales $1,162,500 × 0.42 (percentage for rock band) = $488,250 paid to rock band $1,162,500 − $488,250 = $674,250 profit for amphitheater 5. 75 + 63 + 66 + 81 + 65 + 60 + 71 + 63 + 78 + 70 + 85 + 64 + 65 = 906 906 ÷ 13 = 69.69 or 70 mph is the average speed of the drivers 6 (number of drivers at or below the speed limit) ÷ 13 drivers = 0.4615 or 46%
Index
Adding, 2, 5, 8, 13, 15, 18, 22, 24, 28, 33, 35, 37, 44, 54, 57, 64, 74, 75, 82, 87, 94, 98, 108 Averaging, 4, 27, 37, 43, 48, 56, 65, 76, 83, 86, 92, 96, 103 Chart, 16, 25, 38, 69, 78, 85, 96, 102 Dividing, 3, 6, 9, 13, 17, 19, 23, 26, 29, 32, 35, 44, 45, 48, 53, 58, 62, 67, 75, 78, 86, 88, 95, 98, 105, 109 Fractions, 14 Measuring, 4, 12, 18, 26, 36, 42, 46, 55, 58, 62, 68, 73, 77, 84, 93, 97, 102, 103, 105, 108 Multiplying, 3, 6, 7, 12, 15, 17, 24, 25, 28, 33, 34, 38, 44, 46, 49, 52, 55, 56, 59, 63, 65, 68, 73, 77, 79, 83, 85, 87, 92, 97, 106, 107 Probability, 47, 53, 66, 72, 82, 94, 106 Quiz, 9, 19, 29, 39, 49, 59, 69, 79, 89, 99, 109 Subtracting, 2, 5, 8, 14, 16, 22, 27, 32, 36, 39, 42, 45, 52, 57, 64, 66, 72, 74, 88, 93, 104, 107 Time, 7, 23, 34, 43, 54, 63, 67, 76, 84, 89, 95, 99, 104
About the Author
MELONY A. BROWN taught special education for 11 years before deciding to write full-time. She is married with two sons and lives in Smyrna, Georgia. You can visit her at Web site: melonybrown.com.