GLENCOE MATHEMATICS
Course 3
Contents include: ■
Practice worksheets for 35 Basic Math Skills
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GLENCOE MATHEMATICS
Course 3
Contents include: ■
Practice worksheets for 35 Basic Math Skills
Copyright © by The McGraw-Hill Companies, Inc. All rights reserved. Printed in the United States of America. Permission is granted to reproduce the material contained herein on the condition that such material be reproduced only for classroom use; be provided to students, teachers, and families without charge; and be used solely in conjunction with Glencoe products. Any other reproduction, for use or sale, is prohibited without prior written permission of the publisher. Send all inquiries to: Glencoe/McGraw-Hill 8787 Orion Place Columbus, OH 43240 ISBN: 0-07-860734-5 2
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Math Skills Maintenance, Course 3 7
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CONTENTS Math Skill
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
Page
Using Order of Operations with Powers . . . . . . . . . . . . . . . . . . . . . . 1 Divisibility Patterns . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 Prime Factorization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 Greatest Common Factor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 Equivalent Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 Simplifying Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 Least Common Multiple. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 Comparing and Ordering Decimals . . . . . . . . . . . . . . . . . . . . . . . . . 15 Adding and Subtracting Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . 17 Multiplying Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 Dividing Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 Multiplying and Dividing Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . 23 Operations with Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 Estimating with Decimals. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 Mixed Numbers and Improper Fractions . . . . . . . . . . . . . . . . . . . . . 31 Adding and Subtracting Fractions with Like Denominators . . . . . . . 34 Adding and Subtracting Fractions with Unlike Denominators . . . . . 36 Adding and Subtracting Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . 38 Adding and Subtracting Mixed Numbers . . . . . . . . . . . . . . . . . . . . . 40 Multiplying Fractions and Mixed Numbers. . . . . . . . . . . . . . . . . . . . 42 Dividing Fractions and Mixed Numbers. . . . . . . . . . . . . . . . . . . . . . 44 Operations with Fractions and Mixed Numbers. . . . . . . . . . . . . . . . 46 Adding Integers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48 Subtracting Integers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50 Adding and Subtracting Integers . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 Multiplying Integers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54 Dividing Integers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56 Multiplying and Dividing Integers. . . . . . . . . . . . . . . . . . . . . . . . . . . 58 Identifying Properties. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60 Using Properties . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62 Measurement: The Customary System . . . . . . . . . . . . . . . . . . . . . . 64 Measurement: The Metric System. . . . . . . . . . . . . . . . . . . . . . . . . . 67 Perimeter and Area of Rectangles . . . . . . . . . . . . . . . . . . . . . . . . . 70 Graphing Points on a Coordinate Plane . . . . . . . . . . . . . . . . . . . . . 73 Displaying Data on Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 76
iii
NAME ________________________________________ DATE ______________ PERIOD _____
1
Math Skills Maintenance Using Order of Operations with Powers
Find the value of each expression. 2. 122 ÷ 6 (3 ⴢ 5)
3. 33 ⴢ 2 64 ÷ 42
4. 9 7 (7 8 2)2
5. (72 1) 5 13
6. 100 23 8 ⴢ 7
7. (100 23 8) ⴢ 7
8. 2[52 (8 4) 3]
9. (22 3)(32 2)
Skill 1
1. 52 8 6
10. (22 3) (32 2)
11. 72 ⴢ 8 7 4
12. 99 42 ⴢ 3 2
13. 82 43 1
14. 92 (7 2)2 50
15. (102 52) ⴢ 25
16. (1 2)3 (2 3)2
17. (2 52) (32)
18. 33 1 ⴢ 15 5
19. 72 6 ⴢ 2 3
20. 47 7 5 ⴢ 24
21. 62 3 ⴢ 4 (23 1)
© Glencoe/McGraw-Hill
1
Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
1
Math Skills Maintenance Using Order of Operations with Powers
Find the value of each expression. 1. 23 9 5
2. 102 4 (4 ⴢ 6)
3. 42 ⴢ 3 63 32
4. 11 9 (10 9 3)2
5. (52 1) 2 26
6. 80 33 6 ⴢ 7
7. (80 33 6) ⴢ 7
8. 5[82 (10 5) 3]
9. (42 5)(52 4)
10. (62 5) (52 6)
11. 92 ⴢ 2 9 15
12. 75 52 ⴢ 2 5
13. 102 52 60
14. 122 (4 2)2 100
15. (82 42) ⴢ 30
16. (1 1)3 ⴢ (1 1)2
17. (32 52) (17)
18. 45 2 ⴢ 14 7
19. 92 8 ⴢ 3 4
20. 88 6 2 ⴢ 32
21. 52 2 ⴢ 3 (42 2)
© Glencoe/McGraw-Hill
2
Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
2
Math Skills Maintenance Divisibility Patterns
Determine whether each given number is divisible by 2, 3, 4, 5, 6, 9, or 10. 2. 40
3. 94
4. 156
5. 275
6. 418
7. 690
8. 813
9. 997
10. 1,400
11. 1,358
12. 2,115
13. 4,990
14. 5,783
15. 10,556
Skill 2
1. 12
© Glencoe/McGraw-Hill
3
Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
2
Math Skills Maintenance Divisibility Patterns
Determine whether each given number is divisible by 2, 3, 4, 5, 6, 9, or 10. 1. 18
2. 60
3. 92
4. 168
5. 425
6. 499
7. 678
8. 825
9. 962
10. 1,600
11. 1,855
12. 2,337
13. 4,448
14. 6,950
15. 12,261
© Glencoe/McGraw-Hill
4
Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
3
Math Skills Maintenance Prime Factorization
Determine whether each number is prime, composite, or neither. 2. 44
3. 66
4. 67
5. 73
6. 113
7. 158
8. 247
9. 416
10. 643
11. 885
12. 957
13. 1,424
14. 1,883
15. 2,223
Skill 3
1. 31
© Glencoe/McGraw-Hill
5
Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
3
Math Skills Maintenance Prime Factorization
Determine whether each number is prime, composite, or neither. 1. 41
2. 54
3. 63
4. 71
5. 79
6. 117
7. 159
8. 361
9. 424
10. 681
11. 895
12. 991
13. 1,532
14. 1,951
15. 2,667
© Glencoe/McGraw-Hill
6
Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
4
Math Skills Maintenance Greatest Common Factor
Find the greatest common factor (GCF) of each set of numbers. 2. 14; 32
3. 25; 85
4. 66; 44
5. 16; 76
6. 21; 56
7. 45; 105
8. 18; 54
9. 72; 120
10. 88; 132
11. 78; 130
12. 340; 408
13. 128; 512
14. 165; 345
15. 1,000; 1,280
Skill 4
1. 24; 42
© Glencoe/McGraw-Hill
7
Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
4
Math Skills Maintenance Greatest Common Factor
Find the greatest common factor (GCF) of each set of numbers. 1. 12; 16; 44
2. 14; 28; 56
3. 20; 62; 72
4. 35; 60; 95
5. 18; 36; 87
6. 48; 112; 136
7. 34; 51; 102
8. 108; 162; 189
9. 120; 160; 212
© Glencoe/McGraw-Hill
10. 125; 225; 325
8
Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
5
Math Skills Maintenance Equivalent Fractions
Find the value that will make each set of fractions equivalent. 2 a 3 18
2.
b 48 7 56
3.
8 24 9 p
4.
7 21 t 75
5.
9 x 10 110
6.
5 25 60 k
7.
3 135 4 w
8.
m 27 16 48
9.
f 8 13 156
10.
4 28 c 175
11.
11 h 20 100
12.
y 64 4 256
13.
g 80 23 92
14.
5 85 x 102
15.
4 52 9 b
Skill 5
1.
© Glencoe/McGraw-Hill
9
Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
5
Math Skills Maintenance Equivalent Fractions
Find any fraction equivalent to the given fraction. 1.
8 15
2.
5 32
3.
72 100
4.
4 7
5.
12 17
6.
9 14
7.
14 63
8.
16 33
9.
5 8
10.
1 5
11.
102 105
12.
50 72
13.
45 90
14.
23 44
15.
9 20
16.
2 3
17.
17 30
18.
16 44
19.
12 13
20.
5 17
21.
11 24
© Glencoe/McGraw-Hill
10
Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
6
Math Skills Maintenance Simplifying Fractions
1.
7 21
2.
18 36
3.
4 26
4.
25 40
5.
21 49
6.
24 30
7.
38 57
8.
17 85
9.
39 117
10.
12 27
11.
36 48
12.
15 60
13.
49 98
14.
45 81
15.
65 100
© Glencoe/McGraw-Hill
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Math Skills Maintenance, Course 3
Skill 6
Write each fraction in simplest form.
NAME ________________________________________ DATE ______________ PERIOD _____
6
Math Skills Maintenance Simplifying Fractions
Write each fraction in simplest form. 1.
15 18
2.
24 60
3.
7 16
4.
81 9
5.
42 75
6.
28 84
7.
33 36
8.
21 70
9.
40 8
10.
22 55
11.
76 95
12.
12 16
13.
18 27
14.
24 120
15.
60 135
© Glencoe/McGraw-Hill
12
Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
7
Math Skills Maintenance Least Common Multiple
1. 8, 12
2. 10, 25
3. 4, 6
4. 15, 20
5. 10, 13
6. 30, 50
7. 4, 14
8. 9, 36
9. 12, 15
10. 16, 40
11. 17, 18
12. 35, 49
13. 24, 42
14. 6, 16
15. 48, 120
© Glencoe/McGraw-Hill
13
Math Skills Maintenance, Course 3
Skill 7
Find the least common multiple (LCM) of each set of numbers.
NAME ________________________________________ DATE ______________ PERIOD _____
7
Math Skills Maintenance Least Common Multiple
Find the least common multiple (LCM) of each set of numbers. 1. 4, 5, 6
2. 10, 12, 15
3. 5, 9, 15
4. 7, 14, 42
5. 25, 28, 30
6. 21, 48, 49
7. 10, 16, 40
8. 14, 42, 98
9. 32, 40, 96
10. 13, 26, 65
© Glencoe/McGraw-Hill
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Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
8
Math Skills Maintenance Comparing and Ordering Decimals
1. 0.103 ● 0.094
2. 0.805 ● 0.81
3. 4.23 ● 42.3
4. 6.20 ● 6.2
5. 3.275 ● 3.199
6. 8.0353 ● 8.035
7. 12 ● 12.00
8. 0.0093 ● 0.1001
9. 123.53 ● 12.353
10. 6.51 ● 6.5
11. 0.315 ● 0.351
12. 216.6 ● 216.48
13. 11.01 ● 11.0100
14. 0.204 ● 0.24
15. 0.75 ● 0.80
© Glencoe/McGraw-Hill
15
Math Skills Maintenance, Course 3
Skill 8
Replace each ● with , , or to make a true sentence.
NAME ________________________________________ DATE ______________ PERIOD _____
8
Math Skills Maintenance Comparing and Ordering Decimals
Order the given numbers from least to greatest. 1. 0.03, 0.3, 0.003, 3.00
2. 1.198, 11.98, 0.1198, 0.1918
3. 2.3, 2.03, 2.13, 2.033
4. 8.422, 8.4, 8.224, 0.8994
5. 0.65, 0.605, 0.5, 0.61
6. 2.1, 2.11, 2.02, 2
Order the given numbers from greatest to least. 7. 6.312, 6.123, 6.331, 6.321
9. 12.212, 12.122, 12.221, 12.3
8. 0.543, 0.544, 5.430, 4.350
10. 8.88, 8.888, 8.088, 8.188
11. 0.009, 0.091, 0.09, 0.1
12. 4.62, 4.06, 4.61, 6.41
© Glencoe/McGraw-Hill
16
Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
9
Math Skills Maintenance Adding and Subtracting Decimals
Find each sum or difference. 1.
1.39 0.68
2.
2.8 0.67
3.
23 4.93
4.
2.09 12.21 3.32
5.
16.52 7.92
6.
$3.56 $0.49
10. 68.7 1.47
8. $14.75 $6.98
9. 7.02 4.88
11. 15 12.66
12. 54.54 7.07 9.2
14. Three pieces of cardboard are 1.18 inches, 0.38 inch, and 6.34 inches thick. If the pieces are stacked, what is the thickness of the three pieces?
15. A weightlifter lifted 46.8 kilograms on his first attempt. His next lift was 50 kilograms. How much more weight did he lift on his second attempt?
Skill 9
7. 36 215.5 4.63
Solve. 13. Latisha began shopping with $20. She bought lunch for $4.49 and a CD for $13.91. How much money does she have left?
© Glencoe/McGraw-Hill
17
Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
9
Math Skills Maintenance Adding and Subtracting Decimals
Find each sum or difference. 1.
43.86 22.92
2.
7.34 9.59
4. 108.82 77.40
5.
62.10 15.58
7. 71.75 8.9 223.50
8. 53.27 88 19.99
10. 38.02 3.65
3. 523.87 14.86
6.
$42.13 $18.94
9. $545.19 $112.28
11. 78.09 14.92
12. 312.07 29.86
14. Marcy went to the grocery store with $15.00. She bought two 12-packs of soda that cost $2.99 each and a bag of potato chips for $1.99. How much money does she have left?
15. Omar ran the 100-meter sprint in 10.82 seconds. Jamal ran the same sprint in 10.39 seconds. How much more time did it take Omar than Jamal to finish the sprint?
Solve. 13. On a business trip, Mr. Perez put 12.38 gallons, 13.09 gallons, and 11.45 gallons of gasoline in his car. How many gallons of gasoline did he use all together?
© Glencoe/McGraw-Hill
18
Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
10
Math Skills Maintenance Multiplying Decimals
Find each product. 1.
2.5 13
2.
6.9 53
3.
46.8 5.2
4.
164 8.8
5.
9.1 5.3
6.
922.2 0.4
7. 8.2 5.9
10. 15.1 12
8. 20.7 11.4
9. 33.2 9.2
11. 4.8 6.5
12. 16.6 0.6
14. To build an addition for his house, Mr. Toshio needs 18 sections of paneling that are each 7.5 feet long. How many total feet of paneling does Mr. Toshio need?
15. Over the course of five months, Olivia noticed an average of 2.5 inches of rainfall per month. How much total rainfall did she observe over the fivemonth period?
13. Katie worked 40.5 hours this week. She makes $8 per hour. How much money did she earn this week?
© Glencoe/McGraw-Hill
19
Math Skills Maintenance, Course 3
Skill 10
Solve.
NAME ________________________________________ DATE ______________ PERIOD _____
10
Math Skills Maintenance Multiplying Decimals
Find each product. 1.
7.19 3.09
2. $56.24 12
3.
80.4 2.34
4. $10.16 1.25
5.
6.
9.03 3.2
7. $11.75 16
8. 49.76 5.11
10. 3.15 2.7
4.81 7.85
11. 1.76 5.13
9. 237.02 8.3
12. 12.25 1.28
Solve. 13. The costume designer 14. Khalid purchased five for a drill team needs 12-packs of soda that 3.25 yards of fabric to cost $3.59 each. How make one uniform. How much did Khalid spend much fabric is necessary on soda? if 44 uniforms are needed for the team?
© Glencoe/McGraw-Hill
20
15. At her job, Annie earns $9.50 per hour. If Annie worked 32.5 hours last week, how much money did she earn?
Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
11
Math Skills Maintenance Dividing Decimals
Find each quotient. 1. 0.3冄 2.01
2. 0.04冄 0.92
3. 0.7冄 2.45
4. 0.63冄 756
5. 4.6冄 $115
6. 8.1冄 132.03
7. 0.26冄 111.02
8. 4.7冄 433.81
9. 0.68冄 44.2
10. $25.62 0.84
11. 40.05 4.5
12. 100.8 3.6
14. Before taxes, Drew’s pay was $173.25. If he earns $8.25 per hour, how many hours did Drew work?
15. A 20.5-ounce bottle of shampoo costs $4.51. What is the price per ounce?
Solve.
Skill 11
13. Marta ran a total of 6.25 miles on a 0.25-mile track. How many laps did Marta run?
© Glencoe/McGraw-Hill
21
Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
11
Math Skills Maintenance Dividing Decimals
Find each quotient. 1. 0.3冄 $30.66
2. 16.7冄 136.94
3. 12.3冄 100.86
4. 1.25冄 32.5
5. 13.1冄 1,126.6
6. 5.1冄 113.73
7. 2.04冄 153
8. 3.2冄 28.16
9. 6.7冄 69.01
10. 34.32 0.12
11. 84.64 0.92
12. 209.33 17.3
14. Sofia earned $255.75 on her last paycheck. If she worked 15.5 hours, what is Sofia’s hourly wage?
15. Which is a better bargain, a 22.5 ounce box of cereal that costs $3.60, or a 14.5 ounce box of the same cereal that costs $2.90?
Solve. 13. Mrs. Rollins paid a total of $11.25 for lunchmeat that was priced at $4.50 per pound. How many pounds of lunchmeat did she buy?
© Glencoe/McGraw-Hill
22
Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
12
Math Skills Maintenance Multiplying and Dividing Decimals 2. 1.85冄 46.25
3. 100.22 0.34
4. 2.65冄 3.71
5.
6. 0.24冄 11.28
7.
8. 1.5冄 54.75
1.
6.72 4.3
8.08 6.3
10. 2.2冄 35.42
11.
51.07 12.8
9. $11.34 10.5
12. 9.5冄 24.13
112.6 7.07
Solve. 13. Ramon drove at 37.5 per hour for 1.5 hours. How far did he drive?
© Glencoe/McGraw-Hill
14. For a school fund-raiser, each person in Mr. Singh’s class walked 5.25 miles. The whole class walked a total of 126 miles. How many people are in Mr. Singh’s class?
23
15. Candy bought from the bulk food section costs $3.30 per pound. Sarah wants 2.5 pounds of candy. How much will she have to pay?
Math Skills Maintenance, Course 3
Skill 12
Find each product or quotient.
NAME ________________________________________ DATE ______________ PERIOD _____
12
Math Skills Maintenance Multiplying and Dividing Decimals
Find each product or quotient. 2. 4.2冄 375.06
3.
4. 0.09冄 10.89
5. 89.6 8.37
6. 18.75 0.75
7. 219.22 0.7
8. 74.62 1.4
9. 40.25 12.8
10. 0.16冄 6.64
11. 17.7 6.48
12. 81.84 0.22
14. In a survey, 2.25 times as many students preferred pizza to hot dogs. If 44 students preferred hot dogs, how many preferred pizza?
15. California has 7.25 times as many counties as Connecticut. If California has 58 counties, how many counties are in Connecticut?
1.
2.02 1.04
7.43 3.49
Solve. 13. A carwash charges $3.75 per wash. If the carwash made $315 in one day, how many cars were washed?
© Glencoe/McGraw-Hill
24
Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
13
Math Skills Maintenance Operations with Decimals
1.
514.67 122.8
2.
13.92 52
3.
74.07 12.68
4. 0.84冄 27.3
5.
375.8 22.96
6.
108.47 16.60
7.
98.09 4.8
8. 56.03 22.75
10.
94.45 7.75
13. 64.71 25.82
© Glencoe/McGraw-Hill
9. 3.5冄 78.4
11. 126.18 3.6
12. 62.93 8.6
14. 2.56冄 3.2
15. 46.8 7.91
25
Math Skills Maintenance, Course 3
Skill 13
Find each sum, difference, product, or quotient.
NAME ________________________________________ DATE ______________ PERIOD _____
13
Math Skills Maintenance Operations with Decimals
Find each sum, difference, product, or quotient. 3. 7.5冄 8.46
1.
17.08 5.4
2.
4.
82.65 47.83
5. 608.2 59.34
6.
8.
9. 307.09 45.6
7. 44.1 9.8
346.72 106.80
16.62 0.8
1,903.05 432.98
10.
845.2 6.78
11. 5.12冄 16.64
12. 61.6 22.01
13.
407.3 186.94
14.
15. 743.59 88.8
© Glencoe/McGraw-Hill
31.25 0.44
26
Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
13
Math Skills Maintenance Operations with Decimals
Find each sum, difference, product, or quotient. 98.93 0.6
2.
4.
2,045.56 202.80
5. 908.33 606.17
6. 122.5 6.4
8.
9. 9.5冄 425.6
7. 249.6 3.25
18.81 6.70
52.20 8.44
10.
7,500.64 1,275.70
11. 803.8 45.77
12. 87.86 0.4
13.
99.42 2.6
14. 5.5冄 105.6
15.
© Glencoe/McGraw-Hill
27
319.1 72.43
Math Skills Maintenance, Course 3
Skill 13
3. 0.85冄 5.61
1.
NAME ________________________________________ DATE ______________ PERIOD _____
13
Math Skills Maintenance Operations with Decimals
Find each sum, difference, product, or quotient. 1. 6.2冄 151.28
2.
27.24 18.99
3. 707.3 336.96
4.
5.
50.5 8.6
6. 0.32冄 52.24
224.4 81.75
7. 5,044.5 378.89
8. 904 6.25
9. 61.1 53.62
10. 112.7 4.9
11.
328.46 12.77
12.
13. 46.65 0.8
14.
812.6 1.45
15. 15.2冄 258.4
© Glencoe/McGraw-Hill
28
217.17 86.50
Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
14
Math Skills Maintenance Estimating with Decimals
Estimate each sum, difference, product, or quotient. 1. 5,402.08 782.91
2.
67.55 4.3
3. 11.25冄 127.14
4.
5.
476.37 19.1
6.
7. 834.34 38.1
8. 774.28 685.1
27.06 8.01
9. 1,002.33 566.89
10.
282.05 98.36
11.
46.6 5.1
12. 8.6冄 176.04
13.
940.94 25.20
14.
4,809.23 371.80
15. 6.72冄 213.46
© Glencoe/McGraw-Hill
29
Math Skills Maintenance, Course 3
Skill 14
6,992.46 1,433.64
NAME ________________________________________ DATE ______________ PERIOD _____
14
Math Skills Maintenance Estimating with Decimals
Estimate each sum, difference, product, or quotient. 2.
8,623.09 2,356.81
3. 73.33 18.4
4. 56.3冄 718.67
5.
506.22 4.03
6. 8.41冄 482.26
7. 3,540.8 871.99
8. 908.63 443.24
1.
306.6 72.7
9. 5,636.67 38.3
10. 86.74 32.59
11.
1,684.08 2.64
12.
546.35 267.25
13. 3,979.76 3,023.43
14. 38.05冄 1,196.64
15.
214.36 329.81
© Glencoe/McGraw-Hill
30
Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
15
Math Skills Maintenance Mixed Numbers and Improper Fractions
1.
13 4
2.
26 5
3.
8 3
4.
49 9
5.
11 2
6.
38 7
7.
43 10
8.
16 3
9.
29 4
10.
109 8
11.
73 11
12.
84 5
13.
237 7
14.
199 6
15.
© Glencoe/McGraw-Hill
31
212 9
Math Skills Maintenance, Course 3
Skill 15
Write each improper fraction as a mixed number.
NAME ________________________________________ DATE ______________ PERIOD _____
15
Math Skills Maintenance Mixed Numbers and Improper Fractions
Write each mixed number as an improper fraction. 1. 6
1 4
2. 3
7 8
3. 5
3 4
4. 7
1 6
5. 9
4 9
6. 2
9 16
7. 6
7 10
8. 4
2 11
9. 8
5 7
2 3
11. 9
9 13
12. 11
1 2
19 20
14. 32
15. 14
8 13
10. 14
13. 6
© Glencoe/McGraw-Hill
17 25
32
Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
15
Math Skills Maintenance Mixed Numbers and Improper Fractions
Write each mixed number as an improper fraction, and each improper fraction as a mixed number. 1.
41 4
4. 2
29 6
13 2
5. 8
8.
3.
3 4
23 5
6. 11
43 9
9.
2 3
57 7
Skill 15
7.
7 12
2.
7 9
11. 5
103 8
14. 22
10. 3
13.
© Glencoe/McGraw-Hill
6 11
12. 10
12 25
15.
33
3 10
82 3
Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
16
Math Skills Maintenance Adding and Subtracting Fractions with Like Denominators
Add or subtract. Write each sum or difference in simplest form. 1.
2 5 9 9
2.
1 7 10 10
3.
7 9 20 20
4.
7 4 9 9
5.
11 7 12 12
6.
4 1 15 15
7.
5 3 16 16
8.
9 4 11 11
9.
7 5 8 8
10.
11 1 16 16
11.
7 3 20 20
12.
13 7 25 25
13.
33 17 50 50
14.
23 5 36 36
15.
25 22 39 39
© Glencoe/McGraw-Hill
34
Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
16
Math Skills Maintenance Adding and Subtracting Fractions with Like Denominators
Add or subtract. Write each sum or difference in simplest form. 8 5 11 11
2.
14 11 15 15
3.
13 3 20 20
4.
23 17 30 30
5.
5 13 24 24
6.
9 7 16 16
7.
17 5 18 18
8.
4 6 11 11
9.
25 11 36 36
10.
33 19 35 35
11.
31 4 49 49
12.
15 7 32 32
13.
13 17 42 42
14.
28 8 45 45
15.
23 22 75 75
Skill 16
1.
© Glencoe/McGraw-Hill
35
Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
17
Math Skills Maintenance Adding and Subtracting Fractions with Unlike Denominators
Add or subtract. Write the sum or difference in simplest form.
1.
4.
7.
10.
13.
1 5 1 4
8 9 5 36
4 5 1 2
13 20 1 4
14 15 7 12
© Glencoe/McGraw-Hill
2.
5.
8.
11.
14.
11 12 1 6
3.
5 12 1 3
6.
7 30 1 15
9.
13 21 3 7
12.
8 17 15 68
15.
36
5 8 7 24
7 16 1 2
1 12 3 4
8 9 5 6
12 25 27 100
Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
17
Math Skills Maintenance Adding and Subtracting Fractions with Unlike Denominators
Add or subtract. Write the sum or difference in simplest form.
4.
7.
10.
13.
1 9 2 3
14 25 3 50
7 8 1 40
3 5 1 3
13 14 5 12
© Glencoe/McGraw-Hill
2.
5.
8.
11.
14.
4 5 13 30
3.
8 15 4 9
6.
3 5 3 8
9.
13 25 1 2
12.
37 40 2 9
15.
37
25 36 2 9
16 35 3 10
19 20 31 100
7 12 6 25
17 22 8 55
Math Skills Maintenance, Course 3
Skill Skill17 5
1.
NAME ________________________________________ DATE ______________ PERIOD _____
18
Math Skills Maintenance Adding and Subtracting Fractions
Add or subtract. Write each sum or difference in simplest form.
1.
4.
7.
10.
13.
19 20 7 10
2 9 5 12
5 18 3 8
10 11 7 8
13 15 1 5
© Glencoe/McGraw-Hill
2.
5.
8.
11.
14.
12 25 2 5
3.
13 30 1 4
6.
5 6 5 9
9.
3 4 1 12
12.
3 14 3 4
15.
38
9 10 3 10
17 20 13 20
11 40 9 40
41 64 19 64
14 25 3 10
Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
18
Math Skills Maintenance Adding and Subtracting Fractions
1.
4.
7.
10.
13.
7 12 5 18
2 3 2 7
5 24 5 24
4 25 7 10
11 12 7 10
© Glencoe/McGraw-Hill
2.
5.
8.
11.
14.
13 14 5 14
3.
6 35 2 5
6.
7 9 7 12
9.
81 110 6 11
12.
5 6 3 5
15.
39
12 25 27 100
19 40 3 8
8 15 17 60
11 36 1 4
14 25 3 8
Math Skills Maintenance, Course 3
Skill 18
Add or subtract. Write each sum or difference in simplest form.
NAME ________________________________________ DATE ______________ PERIOD _____
19
Math Skills Maintenance Adding and Subtracting Mixed Numbers
Add or subtract. Write each sum or difference in simplest form.
1.
6 3
4.
7.
10.
13.
2. 1 6
1 2 2 9 5 15
13 30 5 14 6 22
4 15 3 10 5 13
9 10 29 18 30 27
© Glencoe/McGraw-Hill
5.
5 6 1 5 4 4
11
3.
7 24
6.
6
8.
11.
14.
2 7 11 9 14 16
9.
23 84 4 8 7
12.
9
4 25 4 82 5
15.
122
40
3 8 3 12 4 18
7 18 1 32 2 41
7 10 3 29 8 53
5 8 11 19 12 42
7 20 17 17 20 51
Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
19
Math Skills Maintenance Adding and Subtracting Mixed Numbers
Add or subtract. Write each sum or difference in simplest form.
4.
7.
10.
13.
5 6 1 2 3 5
6 7 25 4 28 6
19 20 5 34 6 56
1 2 4 62 11 77
7 20 2 2 5 4
© Glencoe/McGraw-Hill
2.
5.
8.
11.
14.
1 8 4 5 5 6
3.
8 9 3 10 7
6.
28
37 50 17 25 20 42
9.
15 16 5 72 24 108
12.
2 3 13 29 15 37
15.
41
31 50 7 12 10 14
11 15 9 253 10 609
1 9 5 23 6 19
5 32 5 21 12 30
5 12 15 512 16 224
Math Skills Maintenance, Course 3
Skill 19
1.
NAME ________________________________________ DATE ______________ PERIOD _____
20
Math Skills Maintenance Multiplying Fractions and Mixed Numbers
Multiply. Write each product in simplest form. 1.
4 15 5 16
3 2. 5 14 7
3.
7 27 18 49
1 1 4. 6 3 4 5
5.
9 1 3 11 18
6.
1 3 7. 7 3 2 5
6 21 9. 6 7 64
© Glencoe/McGraw-Hill
24 1 3 25 8
8. 2
7 1 2 10 12
3 4 10. 4 4 8 7
42
Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
20
Math Skills Maintenance Multiplying Fractions and Mixed Numbers
Multiply. Write each product in simplest form. 21 19 1 40 21
2.
45 1 5 64 3
1 5 3. 12 2 16
1 9 4. 4 3 52
5 40 5. 8 8 63
6.
1 9 7. 23 3 28
8. 4
9. 5
9 1 1 11 32
© Glencoe/McGraw-Hill
Skill 20
1.
18 100 25 117
2 26 13 27
1 1 10. 7 8 5 3
43
Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
21
Math Skills Maintenance Dividing Fractions and Mixed Numbers
Divide. Write each quotient in simplest form. 4 3 1. 1 5 5
2 1 2. 8 3 5 2
3.
8 4 9
4 7 4. 2 5 15
5.
5 25 18 36
5 1 6. 10 1 7 14
7. 9
9. 9
3 8
9 8 1 11 55
© Glencoe/McGraw-Hill
8.
16 2 65 13
10. 3
44
11 31 1 23 69
Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
21
Math Skills Maintenance Dividing Fractions and Mixed Numbers
Divide. Write each quotient in simplest form.
1.
8 16 35 49
1 9 2. 7 5 10
1 4. 6 5 4
4 9 5. 6 1 7 14
3 1 6. 9 6 4 2
23 3 24 8
5 25 8. 4 1 7 63
Skill 21
2 2 3. 2 2 3 15
7.
9. 4
4 16 15 75
© Glencoe/McGraw-Hill
2 2 10. 14 10 9 3
45
Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
22
Math Skills Maintenance Operations with Fractions and Mixed Numbers
Add, subtract, multiply, or divide. Write each answer in simplest form. 3 21 4 100
3 1 2. 6 5 4 3
3. 4
1 6 4. 7 2 25
6 3 5. 13 7 4
6.
2 4 8. 14 5 15
9.
1.
7.
25 1 7 81 5
2 19 10. 18 1 7 45
11. 17
4 1 13. 56 45 9 12
14.
© Glencoe/McGraw-Hill
9 3 12 16 4
25 1 10 72 5
46
12.
15.
5 1 3 18 3
13 25 1 10 3 14
2 3 9 28 10 32
27 2 2 32 7
93 100 13 3 20 11
Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
22
Math Skills Maintenance Operations with Fractions and Mixed Numbers
Add, subtract, multiply, or divide. Write each answer in simplest form.
1.
17 18 4 5
1 2 4. 37 22 8 7
4 25 9 57 10
9 1 10 25
3.
16 10
5. 3
62
8.
1 23 10. 62 1 2 32
11.
4 5 10 15 7
2 9 3 3 5
2 5
2 7 6. 14 5 15
1 3 9. 9 1 5 9
5
9 56 1 6 8
1 12 12. 7 4 17
12
Skill 22
7.
2. 8
13.
11 20 7 16 100 45
© Glencoe/McGraw-Hill
1 11 14. 4 8 24
47
15. 16
2 9 6 10 13
Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
23
Math Skills Maintenance Adding Integers
Add. 1. 8 (9)
2. 6 7
3. 15 20
4. 12 4
5. 26 (3)
6. 17 (3)
7. 25 43
8. 25 43
9. 25 (43)
10. 25 (43)
11. 30 (30)
12. 55 22
13. 25 8
14. 2 15
15. 1 (19)
16. 46 (57)
17. 50 50
18. 99 1
19. 99 (1)
20. 87 (13)
21. 62 125
© Glencoe/McGraw-Hill
48
Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
23
Math Skills Maintenance Adding Integers
Add. 2. 10 (7) 1
3. 17 (2) 7
4. 9 4 (11)
5. 16 52 16
6. 12 (20) 5
7. 22 (8) 6
8. 7 (3) (15)
9. 27 (13) (27)
10. 24 (6) (31)
11. 5 (1) (12) 8
12. 20 5 (7) 9
13. 18 4 (2) 12
14. 13 (6) (10) (8)
15. 1 (2) (8) (6)
16. 10 (13) 6 7
17. 44 33 11 5
18. 75 (25) 1 (50)
19. 15 23 25 17
20. 25 (4) (6) (25)
21. 7 (34) (13) (16)
Skill 23
1. 25 (12) 12
© Glencoe/McGraw-Hill
49
Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
24
Math Skills Maintenance Subtracting Integers
Subtract. 1. 15 11
2. 7 13
3. 8 5
4. 20 (25)
5. 45 (32)
6. 18 (27)
7. 31 (19)
8. 29 10
9. 6 1
10. 16 20
11. 23 (15)
12. 12 (17)
13. 18 2
14. 3 10
15. 22 (11)
16. 9 1
17. 1 9
18. 25 (30)
19. 13 (8)
20. 7 7
21. 7 (7)
© Glencoe/McGraw-Hill
50
Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
24
Math Skills Maintenance Subtracting Integers
1. 9 19
2. 20 3
3. 13 11
4. 22 35
5. 16 (8)
6. 16 (8)
7. 6 (2)
8. 23 11
9. 15 15
10. 8 12
11. 31 (21)
12. 9 (2)
13. 27 14
14. 8 18
15. 34 (13)
16. 15 5
17. 5 15
18. 17 (20)
19. 29 (22)
20. 1 1
21. 1 (1)
© Glencoe/McGraw-Hill
51
Math Skills Maintenance, Course 3
Skill 24
Subtract.
NAME ________________________________________ DATE ______________ PERIOD _____
25
Math Skills Maintenance Adding and Subtracting Integers
Add or subtract. 1. 12 20
2. 17 11
3. 33 22
4. 18 23
5. 10 (8)
6. 14 (5)
7. 16 17
8. 3 (5)
9. 24 (7)
10. 3 (3)
11. 3 (3)
12. 3 (3)
13. 15 (20)
14. 20 15
15. 14 5
16. 7 13
17. 29 (1)
18. 29 1
19. 44 55
20. 36 (60)
21. 12 14
© Glencoe/McGraw-Hill
52
Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
25
Math Skills Maintenance Adding and Subtracting Integers
1. 6 9
2. 24 16
3. 21 14
4. 9 18
5. 25 (15)
6. 17 (4)
7. 3 4
8. 1 (9)
9. 19 (3)
10. 10 (10)
11. 10 10
12. 42 (22)
13. 4 (14)
14. 14 4
15. 21 10
16. 8 9
17. 35 (2)
18. 14 3
19. 17 19
20. 28 (40)
21. 18 21
© Glencoe/McGraw-Hill
53
Math Skills Maintenance, Course 3
Skill 25
Add or subtract.
NAME ________________________________________ DATE ______________ PERIOD _____
26
Math Skills Maintenance Multiplying Integers
Multiply. 1. 3(7)
2. 8(7)
3. 5(6)
4. 2(2)
5. (3)2
6. 5(8)
7. 12(6)
8. 7(11)
9. 1(13)
10. 1(15)
11. (7)2
12. 2(3)(4)
13. 5(2)(4)
14. 3(5)(4)
15. 2(22)
16. 1(7)(9)
17. 1(4)2
18. 3(2)2
19. (4)3
20. 1(3)3
21. 3(2)3
© Glencoe/McGraw-Hill
54
Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
26
Math Skills Maintenance Multiplying Integers
Multiply. 2. 9(8)
3. 12(11)
4. 6(6)
5. (6)2
6. 10(3)
7. 8(2)
8. 9(10)
9. 1(23)
Skill 26
1. 5(2)
10. 1(30)
11. (9)2
12. 3(6)(5)
13. 6(2)(5)
14. 2(8)(3)
15. 3(13)
16. 1(6)(7)
17. 1(2)2
18. 4(3)2
19. (5)3
20. 1(5)3
21. 1(6)3
© Glencoe/McGraw-Hill
55
Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
27
Math Skills Maintenance Dividing Integers
Divide. 1. 25 5
4.
12 3
7. 45 (9)
10. 144 12
13.
52 2
2. 32 (4)
3. 64 8
5. 20 (2)
6.
48 6
8. 54 (9)
9.
42 2
11. 95 5
12. 51 (3)
14. 100 (25)
15. 18 (1)
135 45
16. 87 29
17.
19. 92 (23)
20. 1 (1)
© Glencoe/McGraw-Hill
18.
56
99 9
21. 250 (125)
Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
27
Math Skills Maintenance Dividing Integers
1. 14 7
2. 35 (7)
3. 81 9
64 32
5. 98 (49)
6.
90 5
8. 25 (5)
9.
45 15
4.
7. 75 (3)
10. 169 13
13.
3 3
11. 27 9
12. 49 (7)
14. 63 (7)
15. 5 (1)
16. 112 4
17.
250 50
18. 8 (8)
19. 156 (3)
20.
34 17
21. 136 (4)
© Glencoe/McGraw-Hill
57
Math Skills Maintenance, Course 3
Skill 27
Divide.
NAME ________________________________________ DATE ______________ PERIOD _____
28
Math Skills Maintenance Multiplying and Dividing Integers
Multiply or divide. 1. 25(4)
2. 120 (60)
3. 18 3
4. 6(16)
5. 14(5)
6.
28 2
7. 38 (19)
8. 15(2)
9.
42 3
10. 225 15
13.
89 1
11. 7(11)
12. 13(5)
14. 120 (8)
15. 4(6)(2)
144 3
16. 111 3
17.
19. 117 (13)
20. 3(5)(7)
© Glencoe/McGraw-Hill
18. 3(2)2
58
21. (6)2 (3)
Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
28
Math Skills Maintenance Multiplying and Dividing Integers
Multiply or divide.
4.
124 4
7. 1(91)
2. 8(4)
3. 9(9)
5. 16(6)
6. 72 (6)
8. 145 (5)
9.
7 7
10. 4(13)
11. 12(3)
12. 11 (11)
13. 5(4)(7)
14. 55 (5)
15. 11(2)(3)
16. 110 5
17.
19. 143 (11)
20. 2(5)(10)
© Glencoe/McGraw-Hill
96 8
18. 5(3)2
21. (8)2 2
59
Math Skills Maintenance, Course 3
Skill 28
1. 135 (9)
NAME ________________________________________ DATE ______________ PERIOD _____
29
Math Skills Maintenance Identifying Properties
Identify the property shown by each equation. 1. 5 ⴢ 18 18 ⴢ 5
2. (9 5)3 9(3) 5(3)
3. 10 (10) 0
4. 17 (3 29) (17 3) 29
5. 0 18 18
6. 5 ⴢ 1 1 ⴢ (5)
7. 20 ⴢ 1 20
8. 19(16) 19(4) 19(16 4)
9.
2 3
#
3 1 2
10. 0 75 75 0
9 4
#
4 1 9
11. 50 50 0
12.
13. 25 ⴢ (4 ⴢ 35) (25 ⴢ 4) ⴢ 35
14. 0 21 21
© Glencoe/McGraw-Hill
60
Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
29
Math Skills Maintenance Identifying Properties
Identify the property shown by each equation. 1. 12(32) 12(8) 12(32 8)
2. 19 19 0
3. 1 ⴢ (4 6) (4 6) ⴢ 1
4. 97 (3 35) (97 3) 35
5. 0 (7 ⴢ 3) (7 ⴢ 3)
6.
7. 8 ⴢ 1 1 ⴢ (8)
8. 0 (10 ⴢ 3) (10 ⴢ 3) 0
11. (13 9) 0 (13 9)
13.
2 7
# a 7 b 1 2
© Glencoe/McGraw-Hill
#
4 1 5
10. (7 ⴢ 4) 6 6 (7 ⴢ 4)
12. 48(5) 48(15) 48(5 15)
14. (4 14) ⴢ 1 (4 14)
Skill 29
9. 20 ⴢ (5 ⴢ 87) (20 ⴢ 5) ⴢ 87
5 4
61
Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
30
Math Skills Maintenance Using Properties
Simplify each expression. Tell which property you used. 1. 8 ⴢ 38
2. 54 (6 49)
3. 22(13)
4. 1 ⴢ (6 ⴢ 9)
5.
2 3
#
17
#
3 2
7. (29 75) 25
9. 0 (33 9)
6. 15(18) 15(2)
8. 10 63 90
10. 12 105
11. (87 5) 20
12. 21 77 21
13. 4 32 50
3 7 14. 8 a b a b 182 7 3
© Glencoe/McGraw-Hill
62
Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
30
Math Skills Maintenance Using Properties Skill 30
Simplify each expression. Tell which property you used. 1. 43 (7 39)
2. 7(92)
3. (17 18) ⴢ 1
4.
5. 24(16) 24(4)
6. 27 82 (27)
7. (57 85) 15
8. 20 49 80
11. (98 4) 25
5 7
#
29b
#
18
#
10 9
10. 0 (15 6)
9. 12(103)
13. a
9 10
#
7 5
© Glencoe/McGraw-Hill
12. 36 125 36
14. 5 16 40
63
Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
31
Math Skills Maintenance Measurement: The Customary System
Complete the following sentences with the most reasonable unit of customary measure. 1. The height of a grown man is about six ? _________________.
2. The weight of a large bag of potato ? chips is about 1 _________________.
3. Milk is sold in containers that are ? usually 1 _________________.
4. A regulation basketball court has a ? length of 94 _________________.
5. The most common unit for measuring the distance between two cities is ? _________________.
? 6. A car might weigh 2 ________________.
Choose the best estimate by circling the most appropriate unit in the parentheses. 7. The height of a typical house is 30 (feet, inches, yards).
9. A passenger plane flies at an elevation of about 30,000 (miles, yards, feet).
11. When he is lifting weights, Kenji can bench press 195 (pounds, tons, ounces).
© Glencoe/McGraw-Hill
8. A large hamburger would weigh about 8 (pounds, ounces, tons).
10. A single scoop of ice cream is about 1 (quart, pint, cup).
12. For her large party, Mrs. Glover should have about 4 (ounces, pints, gallons) of punch.
64
Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
31
Math Skills Maintenance Measurement: The Customary System
? 1. 72 inches ______________ feet
? 2. 4 gallons ______________ pints
? 3. 48 ounces ______________ pounds
? 4. 6 yards ______________ inches
? 5. 88 fluid ounces ______________ cups
? 6. 18 feet ______________ yards
? 7. 7 tons ______________ pounds
? 8. 40 pints ______________ quarts
? 9. 21,120 feet ______________ miles
? 10. 2 gallons ______________ fluid ounces
? 11. 78 inches ______________ feet
? 12. 12 cups ______________ gallons
© Glencoe/McGraw-Hill
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Math Skills Maintenance, Course 3
Skill Skill31 1
Complete.
NAME ________________________________________ DATE ______________ PERIOD _____
31
Math Skills Maintenance Measurement: The Customary System
Choose the best estimate by circling the most appropriate unit in the parentheses. 1. The length between the bases of a baseball diamond is 90 (feet, inches, yards).
2. Ashley needs 2 (fluid ounces, pints, gallons) of paint to paint her bedroom.
3. One serving of french fries would be about 4 (pounds, ounces, quarts).
4. For track practice, Luis had to run 5 (miles, feet, inches).
5. Trent’s golden retriever weighs about 85 (ounces, tons, pounds).
6. Miko is about 67 (yards, inches, feet) tall.
Complete. ? 7. 20 quarts ______________ gallons
? 9. 2 tons ______________ ounces
? 11. 1 mile ______________ inches
© Glencoe/McGraw-Hill
? 8. 8 miles ______________ feet
? 10. 256 fluid ounces ______________ gallons
? 12. 48,000 ounces ______________ tons
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Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
32
Math Skills Maintenance Measurement: The Metric System
1. The amount of medicine in a hypodermic needle is measured in (L, mL, kL).
2. Danny races for his team in the 100 (cm, m, km) dash.
3. A professional football player might weigh 130 (mg, g, kg).
4. A common size for a bottle of soda is 2 (L, mL, kL).
5. There are about 2.5 (mm, cm, m) in one inch.
6. Olivia’s aquarium has a capacity of 200 (mL, L, kL).
7. An automobile on a highway would be traveling at about 100 (cm, m, km) per hour.
8. The amount of water in a reservoir would be measured with (mL, L, kL).
9. A typical doorway is about 2 (cm, m, km) tall.
11. The tip of a pen is about 1 (mm, cm, m) wide.
© Glencoe/McGraw-Hill
10. The amount of medicine in a painreliever is measured in (mg, g, kg).
12. Nutritional information labels tell how many (mg, g, kg) of fat are in a food product.
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Math Skills Maintenance, Course 3
Skill 32
Complete each sentence with the most reasonable metric unit of measure.
NAME ________________________________________ DATE ______________ PERIOD _____
32
Math Skills Maintenance Measurement: The Metric System
Complete. ? 1. 5 m ______________ cm
? 2. 1,200 g ______________ kg
? 3. 750 mL ______________ L
? 4. 300 mm ______________ cm
? 5. 23 kL ______________ L
? 6. 62,500 mg ______________ g
? 7. 450 cm ______________ m
? 8. 1,100 L ______________ kL
? 9. 15 kg ______________ mg
? 10. 10,000 mL ______________ kL
? 11. 8,235 cm ______________ km
? 12. 320,000 mm ______________ km
© Glencoe/McGraw-Hill
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Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
32
Math Skills Maintenance Measurement: The Metric System
Complete each sentence with the most reasonable metric unit of measure. 2. When the weather is especially hot, it is a good idea to drink several (mL, L, kL) of water per day.
3. In chemistry class, Kendrick added 4 (g, kg, m) of that substance to his chemical solution.
4. Melinda added several (mL, L, kL) of lemon juice to the pitcher of iced tea.
5. When it is full of books, Casey’s backpack weighs over 15 (mg, g, kg).
6. Marta’s house is 15 (cm, m, km) wide.
Skill 32
1. One of the basketball players is about 2 (mm, cm, m) tall.
Complete. ? 7. 940 mg ______________ g
? 8. 85 L ______________ kL
? 9. 1.5 km ______________ m
? 10. 850 g ______________ kg
? 11. 21.2 kL ______________ mL
© Glencoe/McGraw-Hill
? 12. 1,400 mm ______________ cm
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Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
33
Math Skills Maintenance Perimeter and Area of Rectangles
Find the perimeter of each rectangle. 1.
2.
21 cm
40 in.
6 cm
3.
40 in.
4.
14 yd
28 cm
18 cm
7 yd
Solve. 5. Find the perimeter of a rectangle that has a width of 48 kilometers and a length of 31 kilometers.
6. What is the perimeter of a square that has 18-inch sides?
7. A rectangle has a length of 70 inches and a width of 103 inches. Find the perimeter of the rectangle.
8. Find the perimeter of a rectangle that has a width of 33 feet and a length of 18 feet.
9. If the perimeter of this rectangle is 164 centimeters, what is its length?
10. The perimeter of a square is 22 inches. What is the length of each side?
x cm
30 cm
© Glencoe/McGraw-Hill
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Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
33
Math Skills Maintenance Perimeter and Area of Rectangles
Find the area of each rectangle. 1.
2. 15 mm
25 in.
15 mm
16 in.
3.
4. 144 in.
1 12 2 yd
60 in.
4 yd
5. Find the area of a rectangle that has a length of 13 feet and a width of 9 feet.
6. What is the area of a rectangle that has a width of 140 millimeters and a length of 120 millimeters?
7. How long is one side of a square that has an area of 81 square meters?
8. Find the width of a rectangle that has a length of 20 centimeters and an area of 360 square centimeters.
9. Draw and label a rectangle that has a width of 6 feet and an area of 39 square feet.
10. The area of the rectangle is 42.5 square meters. Find the value of x.
5m
xm
© Glencoe/McGraw-Hill
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Math Skills Maintenance, Course 3
Skill 34
Solve.
NAME ________________________________________ DATE ______________ PERIOD _____
33
Math Skills Maintenance Perimeter and Area of Rectangles
Find the perimeter and area of each rectangle. 1. P ___________ A ___________
2. P ___________
27 mm
A ___________
2 ft 2 ft
18 mm
Solve. 3. Find the perimeter and area of a rectangle that has a width of 7 meters and a length of 20 meters.
4. What is the perimeter and area of a rectangle that has a length of 12 inches 1 and a width of 10 inches? 2
5. If the area of this rectangle is 490 square meters, what is its perimeter? 35 m
6. Find the area of the rectangle if it has a perimeter of 31.4 meters.
12.5 m
xm xm
7. Draw and label a rectangle that has a perimeter of 60 centimeters and an area of 200 square centimeters.
9. Which has the greater perimeter, a square with an area of 100 square millimeters or a rectangle with a width of 18 millimeters and an area of 90 square millimeters?
© Glencoe/McGraw-Hill
8. Draw and label a square that has a perimeter of 72 inches and an area of 324 square inches.
10. Which has the greater area, a square with a perimeter of 100 inches or a rectangle with a width of 5 inches and a length of 120 inches?
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Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
34
Math Skills Maintenance Graphing Points on a Coordinate Plane
Name the ordered pair for each point graphed. 1.
2.
y
y
A
D x
O
x
O
C
B
3.
4.
y
E
y
G x
O
O
x
H
F
5.
6.
y
y
I J
K x
O
x
O
L
7.
8.
y
y
P
x
O
M N
9.
y
O
10.
S
x
y
W
O
U
x
T
© Glencoe/McGraw-Hill
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Math Skills Maintenance, Course 3
Skill 34
Q x
O
NAME ________________________________________ DATE ______________ PERIOD _____
34
Math Skills Maintenance Graphing Points on a Coordinate Plane
Graph each ordered pair. 1. A(4, 3), B(2, 0)
x
O
3. E(0, 4), F(3, 2)
5. I(0, 0), J(3, 3)
7. M(0, 2), N(4, 4)
9. S(2, 2), T(3, 4)
x
O
x
y
x
O
10. U(0, 1), W(1, 0)
y
O
y
8. P(3, 0), Q(1, 1)
y
x
O
x
O
y
6. K(1, 4), L(2, 4)
y
x
O
x
O
y
4. G(2, 3), H(2, 1)
y
O
© Glencoe/McGraw-Hill
2. C(3, 1), D(4, 1)
y
x
y
O
74
x
Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
34
Math Skills Maintenance Graphing Points on a Coordinate Plane
Name the ordered pair for each point graphed. 1.
2.
y
y
A
D B x
O
x
O
C
3.
y
4.
F
x
O
y
H
O
x
G
E
Graph each ordered pair.
x
O
7. M(2, 3), N(0, 0)
9. S(1, 4), T(4, 1)
x
O
x
y
x
O
10. U(2, 4), W(2, 4)
y
O
y
8. P(2, 1), Q(0, 3)
y
O
© Glencoe/McGraw-Hill
6. K(1, 1), L(4, 0)
y
x
y
O
75
x
Math Skills Maintenance, Course 3
Skill 34
5. I(0, 3), J(2, 0)
NAME ________________________________________ DATE ______________ PERIOD _____
35
Math Skills Maintenance Displaying Data on Graphs
For Exercises 1-6, use the table that shows how many students are in each teacher’s homeroom. Teacher
Wilson
Sanchez
Brooks
Ames
Toshio
Students
27
23
29
19
25
1. Describe the data presented in the table.
2. Make a bar graph using the data in the table.
3. How many total students are recorded in your bar graph?
4. What is the range of the data?
5. How many teachers have a homeroom with more than 20 students?
6. What percent of the homerooms have 25 or more students?
For Exercises 7-10, use the table that shows the number of boys and girls in each homeroom. Teacher
Wilson
Sanchez
Brooks
Ames
Toshio
Boys
11
14
13
12
12
Girls
16
9
16
7
13
7. Describe the data presented in the table.
8. Make a double bar graph using the data in the table.
9. What is the range in the number of girls?
10. What percent of the homerooms have 13 or more boys?
© Glencoe/McGraw-Hill
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Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
35
Math Skills Maintenance Displaying Data on Graphs
For Exercises 1-6, use the table that shows how many victories Jeremy’s high school football team had each year.
Year Victories
1998
1999
2000
2001
6
11
8
10
1. Describe the data presented in the table.
2. Make a line graph using the data in the table.
3. Between which two years did Jeremy’s team have the greatest increase in victories?
4. Between which two years did Jeremy’s team have the greatest decrease in victories?
5. How many total victories did Jeremy’s team have over his four years?
6. Based on the data shown in the line graph, predict how many victories the team will have in the year 2002. Explain.
Year
1998
1999
2000
2001
Darnell’s Victories
7
9
10
9
Jeremy’s Victories
6
11
8
10
7. Describe the data presented in the table.
9. What is the difference in the total number of victories for the teams over the four years?
© Glencoe/McGraw-Hill
8. Make a double line graph using the data for Darnell’s team and Jeremy’s team.
10. What percent of Darnell’s seasons had 9 or more victories?
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Math Skills Maintenance, Course 3
Skill 35
For Exercises 7-10, use the table that shows how many victories Darnell and Jeremy’s football team had each year.
NAME ________________________________________ DATE ______________ PERIOD _____
35
Math Skills Maintenance Displaying Data on Graphs
For Exercises 1-6, use the data below. {14, 11, 19, 6, 21, 8, 12, 17, 7, 18, 9, 11, 8, 7} 1. Write the stems that would be used for the stem-and-leaf plot of this data.
2. Make a stem-and-leaf plot using the data.
3. What is the range of the data?
4. What is the average (mean) of the data?
5. Which interval has the most data points?
6. Which interval has the fewest data points?
For Exercises 7-10, use the data below. {23, 15, 39, 68, 57, 42, 51, 52, 41, 18, 29, 33, 30, 12} 7. Write the stems that would be used for the stem-and-leaf plot of this data.
9. Which interval has the most data points?
© Glencoe/McGraw-Hill
8. Make a stem-and-leaf plot using the data.
10. Which interval has the fewest data points?
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Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
35
Math Skills Maintenance Displaying Data on Graphs
Determine which type of graph is most appropriate for each set of data. Explain your choice. 1. average new car prices over a ten-year period
2. car prices for each of the top ten models for a given year
For Exercises 3-6, use the data below. $1.40, $1.29, $1.32, $1.08, $1.44, $1.25, $1.15, $1.37, $1.33, $1.22 3. Describe a situation that this data could represent.
4. Display this data in a stem-and-leaf plot.
5. What is the range of the data?
6. Which interval has the most data points?
For Exercises 7-8, use the data below. Candidate
Rosa
Alvin
Angela
Dylan
Tamika
Votes Won
103
79
95
100
98
8. Display this data with a graph.
Skill 35
7. Describe a situation that this data could represent.
© Glencoe/McGraw-Hill
79
Math Skills Maintenance, Course 3
NAME ________________________________________ DATE ______________ PERIOD _____
35
Math Skills Maintenance Displaying Data on Graphs
Determine which type of graph is most appropriate for each set of data. Explain your choice. 1. the prices of several types of athletic shoes
2. the values of two stocks compared over the period of several weeks
For Exercises 3-6, use the table that shows the home runs hit by several players in the 2000 Major League Baseball season. Player
Sosa
Home Runs
50
Bonds
Bagwell
Glaus
V. Guerrero
Hildago
49
47
47
44
44
3. Which data display would be most appropriate for the data in the table?
4. Display this data with a graph.
5. What is the range of the data?
6. What is the average number of home runs for these six players? Round to the nearest tenth.
For Exercises 7-8, use the table below. Day Price
Monday
Tuesday
$1.27
$1.23
Wednesday Thursday $1.24
7. Describe a situation that this data could represent.
© Glencoe/McGraw-Hill
$1.31
Friday
Saturday
Sunday
$1.34
$1.32
$1.30
8. Display this data with a graph.
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Math Skills Maintenance, Course 3