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TRANSCRIPT
Course 2
Quick Review Skills Workbook
Also available online at
connectEd.mcgraw-hill.com
Copyright © by the McGraw-Hill Companies, Inc. All rights reserved.
Except as permitted under the United States Copyright Act, no part of this publication may be
reproduced or distributed in any form or by any means, or stored in a database or retrieval
system, without prior permission of the publisher.
Send all inquiries to:
Glencoe/McGraw-Hill
8787 Orion Place
Columbus, OH 43240-4027
ISBN: 978-0-07-893595-4
MHID: 0-07-893595-4
Printed in the United States of America. Fair Game Workbook, Course 2
1 2 3 4 5 6 7 8 9 10 066 18 17 16 15 14 13 12 11 10 09
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CONTENTS
Math Skill Page
1 Multiplying Whole Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
2 Dividing Whole Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
3 Multiplying and Dividing Whole Numbers . . . . . . . . . . . . . . . . . . . . . 5
4 Adding Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
5 Subtracting Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
6 Adding and Subtracting Decimals . . . . . . . . . . . . . . . . . . . . . . . . . 11
7 Multiplying Decimals by Whole Numbers . . . . . . . . . . . . . . . . . . . . 13
8 Dividing Decimals by Whole Numbers . . . . . . . . . . . . . . . . . . . . . . 15
9 Multiplying and Dividing Decimals by Whole Numbers . . . . . . . . . 17
10 Multiplying Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19
11 Dividing Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
12 Multiplying and Dividing Decimals . . . . . . . . . . . . . . . . . . . . . . . . . 23
13 Operations with Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25
14 Prime and Composite . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27
15 Prime Factorization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29
16 Finding Common Factors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31
17 Greatest Common Factor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33
18 Least Common Multiple . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35
19 Simplifying Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37
20 Adding Fractions with Like Denominators . . . . . . . . . . . . . . . . . . . 39
21 Subtracting Fractions with Like Denominators . . . . . . . . . . . . . . . . 41
22 Adding and Subtracting Fractions with Like Denominators . . . . . . 43
23 Adding and Subtracting Fractions with Unlike Denominators . . . . 45
24 Mixed Numbers and Improper Fractions . . . . . . . . . . . . . . . . . . . . 47
25 Adding and Subtracting Mixed Numbers . . . . . . . . . . . . . . . . . . . . 49
26 Multiplying Fractions and Mixed Numbers . . . . . . . . . . . . . . . . . . . 51
27 Dividing Fractions and Mixed Numbers . . . . . . . . . . . . . . . . . . . . . 53
28 Operations with Fractions and Mixed Numbers . . . . . . . . . . . . . . . 55
29 Using Order of Operations with Parentheses . . . . . . . . . . . . . . . . . 57
30 Using Order of Operations with Powers . . . . . . . . . . . . . . . . . . . . . 59
31 Identifying Properties . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61
32 Using Properties . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63
33 Fractions, Decimals, and Percents . . . . . . . . . . . . . . . . . . . . . . . . . 65
34 Comparing and Ordering Integers . . . . . . . . . . . . . . . . . . . . . . . . . 67
35 Ratios and Rates . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69
36 Graphing Points on a Coordinate Plane . . . . . . . . . . . . . . . . . . . . . 71
37 Displaying Data on Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73
38 Measurement: The Customary System . . . . . . . . . . . . . . . . . . . . . 76
39 Measurement: The Metric System . . . . . . . . . . . . . . . . . . . . . . . . . 78
40 Area . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80
iii Course 2
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1 Course 2
NAME ________________________________________ DATE _____________ PERIOD _____
1. 674 × 33
2. 218 × 63
3. 18 × 64
4. 7,413 × 9
5. 3,145 × 62
6. $75.86 × 8
7. 743 × 21 8. 831 × 54 9. 98 × 74
10. 12,485 × 423
11. 87 × 56 12. 698 × 4
13. 79,025 × 61
14. 87 × 88
15. 90 × 9
16. 2,365 × 26
17. 45 × 6
18. 329 × 7
Multiplying Whole Numbers
Find each product.
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NAME ________________________________________ DATE _____________ PERIOD _____
Multiplying Whole Numbers
Find each product.
1. $189 × 42
2. 389 × 76 3. 719 × 9
4. 199 × 22
5. 77 × 12
6. 240 × 15
7. 9,801 × 7 8. 16,009 × 80
9. 529 × 7
10. 49 × 49
11. 602 × 6 12. 1,122 × 56
13. 783 × 34 14. 2,101 × 94
15. 1,290 × 67
Solve.
16. Robb has 14 boxes of baseball cards. If each box has 3,000 cards in it, how many baseball cards does Robb have?
17. Anita is selling magazine subscriptions for a charity. The charity receives a donation of $7 for each subscription sold. If Anita sells 36 subscriptions, how much money will she earn for the charity?
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3 Course 2
NAME ________________________________________ DATE _____________ PERIOD _____
1. 5 � ������������������ 250 2. 15 � ������������������������� 7,890 3. 8 � ������������������������������ 36,874
4. 84 ÷ 12 5. 6,972 ÷ 22 6. 12 � ������������� 64
7. 9 � ������������������ 981 8. 17 � ������������������������� 5,487 9. 85 ÷ 3
10. 45 � ������������������ 180 11. 6 � ������������������������������ 39,574 12. 500 ÷ 25
13. 12 � ��������������������� 144 14. 14 � ������������������ 288 15. 7 � ������������������������� 8,732
Dividing Whole Numbers
Find each quotient.
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NAME ________________________________________ DATE _____________ PERIOD _____
1. 48 � ������������������������������ 48,932 2. 16 � ������������������������� 3,200 3. 1,082 ÷ 18
4. 34 ÷ 4 5. 8 � ������������������ 379 6. 11 � ������������������������� 1,122
7. 19 � �������������������� 843 8. 98 ÷ 7 9. 72 ÷ 16
10. 36 � ������������� 96 11. 13 � ������������������ 104 12. 5 � ������������������������� 7,890
13. 721 ÷ 7 14. 145 ÷ 15 15. 12 � ������������������������� 8,426
Find each quotient.
Dividing Whole Numbers
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5 Course 2
NAME ________________________________________ DATE _____________ PERIOD _____
1. 89 × 79
2. 8 � ������������������ 475 3. 5 � ����������������������������������� 958,745
4. 65,234 ÷ 41 5. 9,874 × 4,845 6. 9,584 ÷ 23
7. 95,412 × 185 8. 56 � ������������������������������������������ 9,854,215 9. 11 × 15
10. 156 × 12
11. 189 × 14
12. 19 � ������������������������� 4,895
13. 485 × 48 14. 8,456 ÷ 11 15. 48,594 ÷ 15
16. 49 × 5,694 17. 147 × 56
18. 158 × 23
19. 486 ÷ 2 20. 348 × 25 21. 13 � ������������������������������ 15,447
Find each product or quotient.
Multiplying and Dividing Whole Numbers
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Course 2 6
NAME ________________________________________ DATE _____________ PERIOD _____
Multiplying and Dividing Whole Numbers
Find each product or quotient.
1. 4,895 ÷ 15 2. 7,854 × 89 3. 456 × 21
4. 8 � ����������������������������������� 178,452 5. 24 � ����������������������������������� 485,632 6. 7 � ������������������������������ 48,973
7. 355 × 14 8. 751 ÷ 11 9. 487 × 9
10. 4,587 ÷ 48 11. 8,515 × 12
12. 147 × 8
Solve.
13. Katie has a bag of 43 cookies. She and her 14 friends want cookies. Does Katie have enough so that everyone can have 3 cookies? Explain.
14. Mrs. Glenn is making bookmarks with her students. She wants to have 4 stickers for each student to use to make their bookmark. If there are 17 students in her class, how many stickers should Mrs. Glenn buy?
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7 Course 2
NAME ________________________________________ DATE _____________ PERIOD _____
Adding Decimals
Find each sum.
1. 7.8 + 9.8
2. 7.09 + 5.03
3. 6.34 + 3.87
4. 0.98 + 0.84
5. 8.67 + 7.43 + 3.54 6. 1.3 + 4.7
7. 2.4 + 5.6
8. 4.7 + 2.9
9. 7.112 + 6.691
10. 5.76 + 4.34 11. 5.890 + 7.981
12. 0.84 + 0.26
13. Craig ran a mile in 7.86 minutes. Then Denny ran a mile in 7.96 minutes. If they ran back to back, how long did it take until they were both finished running?
14. Glennville is located between Spoonville and Franklintown on Route 62. Spoonville is 192.23 miles from Glennville. It is 167.34 miles from Glennville to Franklintown. If Mr. Cuevas drives from Spoonville to Franklintown along Route 62, how many miles will he drive?
Solve.
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Course 2 8
NAME ________________________________________ DATE _____________ PERIOD _____
Adding Decimals
Find each sum.
1. 45.09 + 89.06
2. 14.25 + 8.8
3. 7.980 + 0.908
4. 0.78 + 0.8 5. $432.35 + $45.20
6. 78.98 + 5.76
7. 89.9 + 76.98 8. 5.6 1.29 + 0.98
9. 0.8 + 0.76 + 0.543
10. 1.61 + 3.807 11. 2.564 + 7.908
12. 16.09 56.98 + 6.9
13. 28.796 + 8.901 + 0.9 14. 7.8 + 7.9
15. 67.9 + 54.9
16. 23.456 3.452 + 0.930
17. $3.45 + $9.87 18. 78.09 + 8.5
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9 Course 2
NAME ________________________________________ DATE _____________ PERIOD _____
Subtracting Decimals
Find each difference.
1. 9.36 - 7.24
2. 5.64 - 1.57
3. 46.31 - 42.25
4. 893.14 - 736.57
5. 5.8 - 5.7
6. 9.6542 - 5.3214
7. 581.2 - 106.8 8. $78.64 - $57.12 9. 13.67 - 10.79
10. 333.33 - 199.99
11. 846.2 - 624.1
12. 623.34 - 423.15
13. 793.12 - 754.19
14. 1,082.11 - 1,079.99
15. 39,782.48 - 26,547.44
16. 54.36 - 12.58
17. 426.38 - 274.57 18. 723.44 - 672.78
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Course 2 10
NAME ________________________________________ DATE _____________ PERIOD _____
Subtracting Decimals
Find each difference.
1. 9.6 - 7.31
2. 78.32 - 7.14 3. 189.78 - 3.87
4. 8.1 - 4.75 5. $84.25 - $56.75 6. 23 - 17.46
7. 782.91 - 45.89
8. 20.14 - 8.087
9. $32 - $0.67
10. 0.4 - 0.248
11. 5.89 - 0.0875 12. 123 - 78.214
13. 0.897 - 0.457
14. 9.407 - 0.47
15. 112.8 - 87.98
16. Justyn has $78.96 in her checking account. If she writes a check for $15.75 to a charity, how much does Justyn have left in her checking account?
17. If a box of crackers has 7 servings in it and 5 people eat three-fourths of a serving each, how many servings are left?
18. Will bought an apple for $0.75, a loaf of bread for $1.25, and some lunch meat for $4.56. How much money did Will spend?
Solve.
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11 Course 2
NAME ________________________________________ DATE _____________ PERIOD _____
Adding and Subtracting Decimals
Find each sum or difference.
1. 9.3 - 7.987
2. 7,396.89 + 86.9
3. 73.98 + 0.3
4. 73,210.58 - 63,891.238
5. 397.25 + 7.9 6. 7.9 - 0.0987
7. 0.4 - 0.325
8. 1.98 + 17.98
9. 397.98 - 56.78
10. 0.128 + 7.9 + 89.78 11. 963.21 - 62.89
12. 9,875.594 + 0.98
13. 893.7441 - 638.1660 14. 0.089 - 0.075
15. 3.148 + 0.789
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Course 2 12
NAME ________________________________________ DATE _____________ PERIOD _____
Adding and Subtracting Decimals
Find each sum or difference.
1. 8.93 - 7.34
2. 896.65 + 423.79
3. 731.97 - 342.14
4. 3,014.365 - 1,458.756
5. 3.89 + 9.14 + 5.78 6. 3,147.78 - 2,478.41
7. 5,324.978 + 4,789.478
8. 32.45 - 17.98 9. 731.47 + 971.99
10. 648.63 - 479.99
11. 976.64 - 813.99 12. 931.257 + 137.547
13. Susan bought her lunch in the cafeteria each day this week. On Monday, she spent $1.50; on Tuesday, $2.25; on Wednesday, $1.76; on Thursday, $2.24; and on Friday, $3.42. How much money did Susan spend on lunch this week?
14. Alejandro was cleaning the couch and found 5 dimes, 10 pennies, 2 quarters, and 3 nickels. How much money did Alejandro find?
Solve.
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13 Course 2
NAME ________________________________________ DATE _____________ PERIOD _____
Multiplying Decimals by Whole Numbers
Find each product.
1. 743 × 1.3
2. 21 × 7.8
3. 687 × 0.8
4. 378.7 × 458
5. 578 × 0.2
6. 0.3 × 5,987
7. 1,178 × 0.9
8. 587 × 7.4
9. 478 × 45.8
10. 6,478 × 53.2 11. 62.3 × 5
12. 1,768 × 11.2
13. 734.9 × 12
14. 197 × 11.4
15. 379 × 5.7
16. 3,796 × 0.8
17. 574 × 9.8 18. $4.80 × 18
19. 375.2 × 63 20. 0.3 × 7,318 21. 637.8 × 11
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Course 2 14
NAME ________________________________________ DATE _____________ PERIOD _____
Multiplying Decimals by Whole Numbers
Find each product.
1. 813 × 3.25
2. 7,138 × $0.25
3. 671 × 78.76
4. 137 × 8.74
5. $579.14 × 128
6. 45 × 0.75
7. 6,713 × 4.74
8. 475 × 47.97 9. 579.14 × 84
10. 463.17 × 43
11. 1,379 × $1.74
12. 4,792 × 8.31
13. 3,741 × 62.37 14. 478.21 × 21
15. 3,789 × 7.65
Solve.
16. A snack-size bag of peanuts costs $0.45. Akita buys 15 bags. How much does she spend on peanuts?
17. Arturo has $25.32 and he wants to buy some action figures that cost $2.65 a piece. Does Arturo have enough money to buy 12 action figures? Explain.
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15 Course 2
NAME ________________________________________ DATE _____________ PERIOD _____
Dividing Decimals by Whole Numbers
Find each quotient. Round to the nearest hundredth if necessary.
1. 5 � ������������������������� 48.25 2. 16 � ��������������������� 67.4 3. 31 � ������������������������� 374.1
4. 22 � ������������������������� 9.244 5. 475.209 ÷ 32 6. 0.94 ÷ 3
7. 8.47 ÷ 7 8. 78 � ������������������������������ 984.18 9. 52 � ������������������������������������� 5,418.37
10. 94.21 ÷ 6 11. 8,432.81 ÷ 14 12. 18 � ������������������������������������� 9,478.88
13. 8 � ������������������������� 68.97 14. 58.14 ÷ 3 15. 23 � ����������������������������������� 217,896
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NAME ________________________________________ DATE _____________ PERIOD _____
Dividing Decimals by Whole Numbers
Find each quotient. Round to the nearest hundredth if necessary.
1. 12 � ������������������������������ 514.89 2. 4 � ������������������������� 58.72 3. 21 � ������������������������������ 79.451
4. 8.6 ÷ 4 5. 84.24 ÷ 12 6. 9 � ������������������������� 78.98
7. 68 � ������������������������������������� 6,648.54 8. 99.98 ÷ 6 9. 5,321.87 ÷ 27
10. Mr. Wilson gives his 3 children $20.75 to spend at the fair. How much can each child spend if the money is divided evenly among them?
11. It takes Jessica 23.42 minutes to run 4 miles. How long should it take her to run 1 mile?
12. The price for 11 people to see a movie was $79.75. How much was each ticket?
13. MagicClean steamcleans carpet and charges a fixed price per room. If the charge is $120.35 to clean an 8-room house, how much does it cost to clean each room?
Solve.
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17 Course 2
NAME ________________________________________ DATE _____________ PERIOD _____
Multiplying and Dividing Decimals by Whole
Numbers
Find each product or quotient. Round to the nearest hundredth if necessary.
1. 9 � ��������������������� 15.9 2. 18.35 × 14
3. 130.8 ÷ 14
4. $15.31 ÷ 5 5. 26 � ��������������������� 54.9 6. 25.31 × 9
7. 56.78 × 45
8. 0.2894 × 8
9. 8,456.21 × 25
10. 34.66 ÷ 19 11. 8 � ������������������������� 97.24 12. 5.6 × 39
13. 15.48 × 73
14. 33 � ������������������������� 89.62 15. 15.5 ÷ 50
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Course 2 18
NAME ________________________________________ DATE _____________ PERIOD _____
Multiplying and Dividing Decimals by Whole
Numbers
Find each product or quotient. Round to the nearest hundredth if necessary.
1. 158.34 × 73
2. 0.2548 × 65
3. 3.214 ÷ 26
4. 4 � ������������������������������ 845.22 5. 36 � ������������������������� 70.34 6. 65.64 × 22
7. 3.14 × 52 8. 78.98 ÷ 6 9. 3.21 × 58
10. 5 � ������������������������������ 0.4587 11. 47.58 × 56 12. 7 � ������������������������������ 638.48
13. Martina bought a 12-ounce jug of juice for $1.24. What was the cost per ounce?
14. Jeff and his 2 sisters found $23.45 during this year’s scavenger hunt. They decided to divide the money evenly. How much did each of them keep?
Solve. Round each answer to the nearest hundredth.
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19 Course 2
NAME ________________________________________ DATE _____________ PERIOD _____
Multiplying Decimals
Find each product.
1. 3.5 × 15
2. 8.7 × 42
3. 34.6 × 3.8
4. 125 × 6.9
5. 8.4 × 5.7
6. 837.5 × 0.9
7. 64 × 7.7 8. 24.5 × 12.6 9. 35.4 × 7.8
10. 13.4 × 14 11. 8.8 × 10.5 12. 18.4 × 0.8
Solve.
13. Ahmal earns $7.25 per hour. If he worked for 20.75 hours this week, how much money did he earn?
14. Megan needs 5 pieces of ribbon that are each 6.75 inches long. How much ribbon does she need altogether?
15. Kendrick bought 6 packages of pencils for $1.30 each. How much did he spend altogether?
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Course 2 20
NAME ________________________________________ DATE _____________ PERIOD _____
Multiplying Decimals
Find each product.
1. 6.35 × 4.12
2. 75.36 × 9
3. 60.7 × 3.45
4. 12.38 × 2.75
5. 6.52 × 9.67
6. 8.15 × 2.9
7. $13.25 × 15 8. 37.54 × 3.01 9. 225.98 × 6.7
10. 5.94 × 5.2 11. 2.26 × 5.24 12. 14.52 × 1.38
Solve.
13. Mr. Jacoby drove at a rate of 65 miles per hour for 3.25 hours. How far did he travel?
14. Jamal purchased four 16-packs of bottled water for $5.75 each. How much did Jamal spend on water?
15. Lori earns $8.25 per hour working at the concession stand at the pool. If she worked 16 hours last week, how much did she earn?
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21 Course 2
NAME ________________________________________ DATE _____________ PERIOD _____
1. 0.2 � ��������������������� 0.84 2. 8.5 � ��������������������� 44.2 3. 4.8 � ������������������������� 278.4
4. 1.4 � ������������������������� 138.6 5. 3.2 � ������������������������� 150.4 6. 1.3 � ��������������������� 1.43
7. 6.6 � ������������������������� 12.54 8. 2.6 � ��������������������� 62.4 9. 0.5 � ��������������������� 6.25
10. 3.25 ÷ 2.5 11. 5.76 ÷ 4.8 12. 35.8 ÷ 0.04
Solve.
13. Melissa bought 3 yards of fabric for a total of $11.37. How much did she pay for each yard of fabric?
14. Kenji walked 3.4 miles in 69.6 minutes. At this rate, how many minutes did it take him to walk each mile? Round to the nearest tenth.
15. Karen bought 4 picture frames for a total of $23.96. If each picture frame cost the same, how much did each picture frame cost?
Dividing Decimals
Find each quotient.
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Course 2 22
NAME ________________________________________ DATE _____________ PERIOD _____
1. 0.55 � ��������������������� 24.2 2. 0.31 � ��������������������� 77.5 3. 0.2 � ��������������������� 0.34
4. 0.2 � ��������������������� 8.24 5. 1.6 � ������������������������� 0.768 6. 1.7 � ������������������������� 0.238
7. 1.45 � ������������������������� 130.5 8. 8.23 � ��������������������� 82.3 9. 3.18 � ��������������������� 63.6
10. 0.82 ÷ 0.4 11. 90.175 ÷ 2.5 12. 38.57 ÷ 1.9
Solve.
13. There are 74.4 grams of sugar in 3 servings of grapes. How many grams of sugar are in a single serving of grapes?
14. Mei traveled 67.5 miles in 1.5 hours. Find the speed at which she traveled if her speed stayed the same without stopping.
15. Justin spent $1.62 on 3.3 pounds of bananas. To the nearest cent, what was the cost of the bananas per pound?
Find each quotient.
Dividing Decimals
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23 Course 2
NAME ________________________________________ DATE _____________ PERIOD _____
Find each product or quotient.
1. 0.7 × 0.9
2. 2.3 � ������������������������� 20.24 3. 0.9 × 2.3
4. 13.8 � ������������������������� 131.1 5. 0.3 × 6.1
6. 3.4 � ������������������������� 26.35
7. 1.7 × 2.3
8. 0.01 � ������������� 19 9. 1.08 × 0.2
10. 0.13 � ������������������������������ 0.6344 11. 2.38 × 0.4
12. 2.2 � ��������������������� 6.49
Solve.
13. Suppose you buy 5 cheeseburgers at $1.52 each. What is the total cost of the cheeseburgers before tax?
14. An average worker bee produces 0.083 teaspoon of honey in its lifetime. How much honey would 5 worker bees produce in their lifetimes?
15. The charge for 5 adult admission tickets to an ice rink is $26.25. What is the cost for each ticket?
Multiplying and Dividing Decimals
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Course 2 24
NAME ________________________________________ DATE _____________ PERIOD _____
Find each product or quotient.
Solve.
13. With every jump, a large kangaroo travels about 0.006 mile. How far will a kangaroo travel after it jumps 4 times?
14. The Thompson family purchased 8.8 gallons of gasoline for $28.04. How much did they pay per gallon?
15. Erika needs 1.8 yards of ribbon to make a bow. How many yards of ribbon will she need to make 6 bows?
1. 12.14 × 0.01
2. 5.4 � ������������������������� 88.02 3. 2.49 × 0.53
4. 0.01 � ��������������������� 5.77 5. 3.97 × 1.23
6. 8.35 � ������������������������� 60.12
7. 8.76 × 2.75
8. 2.5 � ������������������������� 13.68 9. 0.008 × 4.3
10. 17.2 � ������������������������������ 109.22 11. 0.017 × 5.6
12. 1.2 � ��������������������� 0.78
Multiplying and Dividing Decimals
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25 Course 2
NAME ________________________________________ DATE _____________ PERIOD _____
1. 6.74 + 1.78 2. 45.15 + 21.87
3. 31 � ������������������������������ 943.89
4. 1.79 × 30 5. 94.32 ÷ 6 6. 3.79 × 8
7. 648.87 - 47.99
8. 897.1 - 23.4
9. 32.14 × 4
10. 45.12 × 47
11. 15 � ������������������������������ 76.545 12. 33 � ������������������������� 48.12
13. 7.415 + 47.5 14. 845.59 + 0.61
15. 12.81 × 7
16. 74.31 ÷ 18 17. 9.17 - 9.07
18. 13.67 + 74.11
19. 0.999 × 14 20. 53.4 ÷ 8 21. 11.947 × 9
Find each sum, difference, product, or quotient. Round to the nearest hundredth if necessary.
Operations with Decimals
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Course 2 26
NAME ________________________________________ DATE _____________ PERIOD _____
Operations with Decimals
1. 16 � ������������������������� 16.23 2. 617.23 - 0.47
3. 97.83 + 7.89
4. 65.12 × 3 5. 8.47 + 5.62 6. 8.45 × 5
7. 78.44 ÷ 12 8. 95.64 × 7
9. 1.23 × 5
10. 55 � ������������������������������ 102.23 11. 78.54 + 12.36
12. 45.44 + 32.14
13. 32.14 - 7.71
14. 873.14 - 40.45 15. 0.78 × 97
Find each sum, difference, product, or quotient. Round to the nearest hundredth if necessary.
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27 Course 2
NAME ________________________________________ DATE _____________ PERIOD _____
Determine whether each number is prime, composite, or neither.
1. 65 2. 37 3. 26
4. 54 5. 155 6. 201
7. 0 8. 93 9. 121
10. 29 11. 53 12. 57
13. 28 14. 49 15. 115
Prime and Composite
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Course 2 28
NAME ________________________________________ DATE _____________ PERIOD _____
Determine whether each number is prime, composite, or neither.
1. 10 2. 3 3. 17
4. 15 5. 44 6. 23
7. 1 8. 57 9. 45
10. 29 11. 56 12. 99
13. 53 14. 31 15. 111
Prime and Composite
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29 Course 2
NAME ________________________________________ DATE _____________ PERIOD _____
Find the prime factorization of each number.
1. 24 2. 18 3. 40
4. 75 5. 32 6. 49
7. 104 8. 55 9. 77
10. 36 11. 81 12. 65
13. 19 14. 125 15. 114
Prime Fractorization
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Course 2 30
NAME ________________________________________ DATE _____________ PERIOD _____
Find the prime factorization of each number.
1. 72 2. 88 3. 32
4. 86 5. 120 6. 576
7. 68 8. 240 9. 24
10. 70 11. 102 12. 121
13. 164 14. 225 15. 54
Prime Fractorization
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31 Course 2
NAME ________________________________________ DATE _____________ PERIOD _____
Finding Common Factors
List all factors for each pair of numbers. Then identify all common factors.
1. 8; 20 2. 15; 30 3. 12; 18
4. 15; 25 5. 20; 30 6. 28; 32
7. 25; 45 8. 15; 45 9. 58; 87
10. 50; 145 11. 72; 112 12. 55; 165
13. 125; 175 14. 126; 210 15. 215; 301
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Course 2 32
NAME ________________________________________ DATE _____________ PERIOD _____
List all factors for each set of numbers. Then identify all common factors.
1. 8; 10; 12 2. 5; 10; 15
3. 12; 15; 20 4. 9; 18; 32
5. 15; 20; 30 6. 12; 20; 42
7. 7; 14; 21 8. 11; 33; 55
9. 24; 33; 42 10. 34; 52; 72
Finding Common Factors
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33 Course 2
NAME ________________________________________ DATE _____________ PERIOD _____
Greatest Common Factor
Find the greatest common factor (GCF) of each pair of numbers.
1. 12; 20 2. 16; 30 3. 15; 65
4. 33; 88 5. 18; 72 6. 28; 46
7. 44; 132 8. 15; 48 9. 42; 105
10. 77; 143 11. 17; 51 12. 225; 325
13. 136; 408 14. 175; 385 15. 1,200; 2,500
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Course 2 34
NAME ________________________________________ DATE _____________ PERIOD _____
Find the greatest common factor (GCF) of each set of numbers.
Greatest Common Factor
1. 10; 15; 20 2. 12; 22; 34
3. 21; 33; 45 4. 45; 70; 90
5. 17; 51; 102 6. 54; 81; 108
7. 15; 45; 105 8. 63; 98; 133
9. 150; 175; 225 10. 180; 200; 360
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35 Course 2
NAME ________________________________________ DATE _____________ PERIOD _____
1. 6, 8 2. 7, 9 3. 10, 14
4. 4, 10 5. 20, 12 6. 2, 9
7. 16, 3 8. 15, 75 9. 21, 28
10. 14, 28 11. 20, 50 12. 18, 32
13. 24, 32 14. 16, 14 15. 20, 52
Find the least common multiple (LCM) of each set of numbers.
Least Common Multiple
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Course 2 36
NAME ________________________________________ DATE _____________ PERIOD _____
Least Common Multiple
1. 5, 6, 14 2. 6, 7, 10 3. 4, 5, 10
4. 2, 3, 13 5. 4, 8, 10 6. 3, 9, 18
7. 15, 25, 75 8. 9, 12, 15 9. 2, 8, 12
10. 4, 6, 10 11. 15, 20, 25 12. 8, 12, 16
13. 12, 15, 20 14. 4, 9, 18 15. 15, 24, 30
Find the least common multiple (LCM) of each set of numbers.
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37 Course 2
NAME ________________________________________ DATE _____________ PERIOD _____
Simplifying Fractions
Write each fraction in simplest form.
1. 8 _ 24
2. 8 _ 9 3. 8 _
12
4. 10 _ 16
5. 6 _ 25
6. 9 _ 12
7. 15 _ 45
8. 85 _ 95
9. 4 _ 28
10. 9 _ 54
11. 16 _ 58
12. 45 _ 100
13. 1 _ 8 14. 32 _
68 15. 33 _
99
16. 48 _ 98
13. 22 _ 88
13. 36 _ 86
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Course 2 38
NAME ________________________________________ DATE _____________ PERIOD _____
10. Ana had softball practice for 2 hours. She practiced pitching for 20 minutes. For what fraction of the time did she practice pitching?
11. Michelle went to Spain for 22 days in June. What fraction of the month of June did Michelle spend in Spain?
12. Lee has 20 cousins. If 12 of Lee’s cousins came to the family reunion, what fraction of his cousins attended?
13. The gas tank in Michael’s car can hold 18.0 gallons. If the tank currently contains 5.5 gallons, what fraction of the tank is full?
Solve. Write each answer in simplest form.
Write each fraction in simplest form.
1. 5 _ 25
2. 3 _ 15
3. 16 _ 58
4. 18 _ 280
5. 6 _ 18
6. 12 _ 144
7. 14 _ 98
8. 2 _ 7 9. 6 _
8
Simplifying Fractions
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39 Course 2
NAME ________________________________________ DATE _____________ PERIOD _____
Adding Fractions with Like Denominators
Add. Write each sum in simplest form.
1. 5 _ 8 + 1 _
8 2. 4 _
11 + 5 _
11 3. 4 _
9 + 3 _
9
4. 9 _ 17
+ 8
_ 17
5. 4 _ 15
+ 9 _ 15
6. 1 _ 6 + 3 _
6
7. 1 _ 3
+ 1 _ 3
8. 2 _ 12
+ 8 _ 12
9. 11 _ 16
+ 4 _ 16
10. 2 _ 10
+ 7 _ 10
11. 13 _ 25
+ 9 _ 25
12. 8 _ 11
+ 1 _ 11
13. 5 _ 19
+ 7 _ 19
14. 1 _ 9
+ 4 _ 9
15. 2 _ 8 + 3 _
8
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Course 2 40
NAME ________________________________________ DATE _____________ PERIOD _____
1. 2 _ 12
+ 6 _ 12
2. 7 _ 10
+ 2 _ 10
3. 5 _ 6
+ 1 _ 6
4. 7 _ 17
+ 9 _ 17
5. 7 _ 16
+ 7 _ 16
6. 1 _ 4
+ 2 _ 4
7. 9 _ 20
+ 5 _ 20
8. 4 _ 12
+ 7 _ 12
9. 16 _ 39
+ 23 _ 39
10. 7 _ 16
+ 9 _ 16
11. 5 _ 7 + 2 _
7 12. 2 _
9
+ 3 _ 9
13. Renata has 3 _ 8 foot of yarn for art class.
Mrs. Jackson gives her 5 _ 8 foot more. How
much yarn does she have now?
14. If 9 _ 22
of the class voted to have pizza
at the class party and 3 _ 22
of the class
voted to have hot dogs, what fraction
of the class voted to have pizza or
hot dogs?
Adding Fractions with Like Denominators
Add. Write each sum in simplest form.
Solve. Write each answer in simplest form.
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41 Course 2
NAME ________________________________________ DATE _____________ PERIOD _____
Subtracting Fractions with Like Denominators
1. 5 _ 6 - 4 _
6 2. 6 _
8 - 4 _
8 3. 9 _
13 - 7 _
13
4. 11 _ 23
- 5 _ 23
5. 6 _ 18
- 5 _ 18
6. 8 _ 19
- 4 _ 19
7. 17 _ 21
- 15 _ 21
8. 9 _ 14
- 2 _ 14
9. 5 _ 6
- 1 _ 6
10. 7 _ 16
- 5 _ 16
11. 16 _ 25
- 14 _ 25
12. 7 _ 9
- 5 _ 9
13. 43 _ 52
- 25 _ 52
14. 2 _ 3
- 1 _ 3
15. 8 _ 15
- 1 _ 15
Subtract. Write each difference in simplest form.
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Course 2 42
NAME ________________________________________ DATE _____________ PERIOD _____
Subtract. Write each difference in simplest form.
1. 10 _ 12
- 7 _ 12
2. 16 _ 28
- 4 _ 28
3. 8 _ 17
- 5 _ 17
4. 6 _ 7 - 3 _
7 5. 17 _
24
- 12 _ 24
6. 8 _ 9 - 2 _
9
7. 16 _ 27
- 14 _ 27
8. 2 _ 5 - 1 _
5 9. 5 _
8 - 3 _
8
10. 6 _ 7
- 1 _ 7
11. 36 _ 54
- 22 _ 54
12. 5 _ 16
- 4 _ 16
13. Lawrence has 3 _ 4 foot of material. Netta
has 1 _ 4 foot of material. How much more
material does Lawrence have than
Netta?
14. Morgan has 5 _ 8 liter of water. Miguel
has 3 _ 8 liter of water. How much more
water does Morgan have than Miguel?
Solve. Write each answer in simplest form.
Subtracting Fractions with Like Denominators
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43 Course 2
NAME ________________________________________ DATE _____________ PERIOD _____
Adding and Subtracting Fractions with
Like Denominators
Add or subtract. Write each answer in simplest form.
1. 8 _ 17
+ 7 _ 17
2. 15 _ 34
+ 12 _ 34
3. 10 _ 12
- 8 _ 12
4. 5 _ 6
- 2 _ 6
5. 4 _ 15
1 _ 15
+ 2 _ 15
6. 8 _ 13
- 1 _ 13
7. 15 _ 84
+ 37 _ 84
8. 7 _ 9 + 1 _
9 9. 3 _
5
- 1 _ 5
10. 11 _ 12
- 7 _ 12
11. 8 _ 10
- 2 _ 10
12. 1 _ 9 + 5 _
9
13. 8 _ 9
- 5 _ 9
14. 7 _ 15
+ 4 _ 15
15. 11 _ 16
- 5 _ 16
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Course 2 44
NAME ________________________________________ DATE _____________ PERIOD _____
Add or subtract. Write each answer in simplest form.
1. 15 _ 23
- 12 _ 23
2. 7 _ 9
- 3 _ 9
3. 8 _ 12
- 7 _ 12
4. 1 _ 5 + 2 _
5 5. 82 _
98
+ 10 _ 98
6. 12 _ 45
- 10 _ 45
7. 4 _ 5
- 1 _ 5
8. 2 _ 3 + 1 _
3 9. 10 _
30 + 15 _
30
10. 12 _ 15
- 11 _ 15
11. 8 _ 6 - 5 _
6 12. 2 _
3 + 1 _
3
13. 18 _ 25
+ 5 _ 25
14. 1 _ 245
+ 56 _ 245
15. 6 _ 10
- 2 _ 10
Adding and Subtracting Fractions with
Like Denominators
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45 Course 2
NAME ________________________________________ DATE _____________ PERIOD _____
Adding and Subtracting Fractions with
Unlike Denominators
Add or subtract. Write each sum or difference in simplest form.
1. 19 _ 20
- 7 _ 10
2. 12 _ 25
+ 2 _ 5
3. 9 _ 10
- 3 _ 12
4. 2 _ 9
+ 5 _ 12
5. 13 _ 30
+ 1 _ 4
6. 19 _ 20
- 13 _ 15
7. 5 _ 18
+ 3 _ 8
8. 5 _ 6
- 5 _ 9
9. 11 _ 40
+ 9 _ 20
10. 10 _ 11
- 7 _ 8
11. 3 _ 4
+ 1 _ 12
12. 41 _ 64
+ 6 _ 32
13. 13 _ 15
- 1 _ 5
14. 3 _ 14
+ 3 _ 4
15. 14 _ 25
- 3 _ 10
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Course 2 46
NAME ________________________________________ DATE _____________ PERIOD _____
Add or subtract. Write each sum or difference in simplest form.
1. 7 _ 12
- 5 _ 18
2. 5 _ 14
+ 3 _ 7
3. 12 _ 25
+ 27 _ 100
4. 2 _ 3
+ 2 _ 7
5. 6 _ 35
+ 2 _ 5
6. 19 _ 40
- 3 _ 8
7. 5 _ 24
+ 5 _ 12
8. 7 _ 9
- 7 _ 12
9. 8 _ 15
- 17 _ 60
10. 4 _ 25
+ 7 _ 10
11. 81 _ 110
- 6 _ 11
12. 11 _ 36
- 1 _ 4
13. 11 _ 12
- 7 _ 10
14. 5 _ 6
- 3 _ 5
15. 14 _ 25
+ 3 _ 8
Adding and Subtracting Fractions with
Unlike Denominators
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47 Course 2
NAME ________________________________________ DATE _____________ PERIOD _____
1. 84 _ 26
2. 64 _ 47
3. 23 _ 4
4. 88 _ 16
5. 36 _ 14
6. 14 _ 3
7. 13 _ 11
8. 9 _ 2 9. 29 _
4
10. 15 _ 9 11. 27 _
5 12. 34 _
15
13. 18 _ 7 14. 78 _
54 15. 21 _
18
Write each improper fraction as a mixed number in simplest form.
Mixed Numbers and Improper Fractions
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Course 2 48
NAME ________________________________________ DATE _____________ PERIOD _____
Mixed Numbers and Improper Fractions
Write each mixed number as an improper fraction.
1. 8 4 _ 5 2. 6 3 _
4 3. 3 1 _
2
4. 1 11 _ 12
5. 4 17 _ 19
6. 5 13 _ 16
7. 7 1 _ 7 8. 3 5 _
6 9. 5 9 _
10
10. 2 3 _ 4 11. 7 1 _
8 12. 11 6 _
19
13. 2 1 _ 7 14. 8 7 _
9 15. 5 2 _
3
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49 Course 2
NAME ________________________________________ DATE _____________ PERIOD _____
Adding and Subtracting Mixed Numbers
Add or subtract. Write each sum or difference in simplest form.
1. 5 1 _ 2 + 3 1 _
4 2. 9 4 _
7 - 3 5 _
14 3. 7 4 _
5 + 9 3 _
10
4. 13 1 _ 5 - 10 5. 2 2 _
3 + 4 1 _
9 6. 15 6 _
9 - 13 5 _
12
7. 3 3 _ 4 + 5 5 _
8 8. 13 7 _
12 - 9 1 _
4 9. 3 2 _
5 + 7 6 _
15
10. 5 2 _ 3 - 3 1 _
2 11. 10 2 _
3 + 5 6 _
7 12. 8 3 _
5 - 2 1 _
5
13. 6 5 _ 12
+ 12 5 _ 8 14. 23 2 _
3 - 4 1 _
2 15. 17 2 _
9 + 12 1 _
3
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Course 2 50
NAME ________________________________________ DATE _____________ PERIOD _____
1. 7 1 _ 8 + 2 5 _
8 2. 18 1 _
5 - 6 1 _
4 3. 4 + 1 2 _
3
4. 26 - 4 1 _ 9 5. 3 1 _
2 + 1 3 _
4 6. 4 3 _
8 - 2 5 _
6
7. 18 1 _ 6 + 10 3 _
4 8. 12 4 _
9 - 7 5 _
6 9. 4 1 _
15 + 2 3 _
5
10. 7 1 _ 14
- 4 3 _ 7 11. 12 3 _
20 + 7 7 _
15 12. 8 5 _
12 - 5 9 _
10
13. 8 1 _ 5 + 4 2 _
3 14. 9 5 _
12 - 6 1 _
6 15. 10 9 _
24 + 8 3 _
8
Add or subtract. Write each sum or difference in simplest form.
Adding and Subtracting Mixed Numbers
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51 Course 2
NAME ________________________________________ DATE _____________ PERIOD _____
1. 3 _ 4 ×
5 _ 6 2. 8 _
11 × 11 _
12 3. 5 _
6 × 3 _
5
4. 6 _ 7 × 7 _
21 5. 8 _
9 × 9 _
10 6. 7 _
9 × 5 _
7
7. 6 _ 14
× 12 _ 18
8. 8 _ 13
× 2 _ 11
9. 6 2 _ 3 × 7 3 _
5
10. 7 1 _ 5 × 2 4 _
7 11. 8 3 _
4 × 2 2 _
5 12. 4 1 _
3 × 2 1 _
7
13. 4 3 _ 5 × 2 1 _
2 14. 5 5 _
6 × 4 2 _
7 15. 6 8 _
9 × 3 5 _
6
Multiplying Fractions and Mixed Numbers
Multiply. Write each product in simplest form.
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Course 2 52
NAME ________________________________________ DATE _____________ PERIOD _____
Multiplying Fractions and Mixed Numbers
1. 4 _ 7 × 6 2. 9 _
10 × 3 _
4 3. 8 _
9 × 2 _
3
4. 6 _ 7 × 4 _
5 5. 4 _
7 × 2 _
9 6. 2 _
3 × 3 _
13
7. 4 _ 9 × 1 _
6 8. 4 _
9 × 24 _
25 9. 2 1 _
9 × 1 1 _
2
10. 4 7 _ 15
× 3 3 _ 4 11. 5 7 _
9 × 6 3 _
8 12. 1 1 _
4 × 3 2 _
3
13. 2 3 _ 5 × 1 4 _
7 14. 4 1 _
5 × 12 2 _
9 15. 3 5 _
8 × 4 1 _
2
Multiply. Write each product in simplest form.
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53 Course 2
NAME ________________________________________ DATE _____________ PERIOD _____
Dividing Fractions and Mixed Numbers
Divide. Write each quotient in simplest form.
1. 2 _ 3 ÷
1 _ 2 2. 3 _
5 ÷
2 _ 5 3. 7 _
10 ÷
3 _ 8
4. 5 _ 9 ÷
2 _ 3 5. 4 ÷
2 _ 3 6. 8 ÷
4 _ 5
7. 2 _ 13
÷ 5 _ 26
8. 4 _ 7 ÷
6 _ 7 9. 2 1 _
2 ÷ 1 1 _
4
10. 7 ÷ 4 9 _ 10
11. 3 3 _ 5 ÷
4 _ 5 12. 8 2 _
5 ÷ 4
1 _ 2
13. 6 1 _ 3 ÷ 2 1 _
2 14. 5 1 _
4 ÷ 2 1 _
3 15. 4 1 _
8 ÷ 3 2 _
3
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Course 2 54
NAME ________________________________________ DATE _____________ PERIOD _____
Dividing Fractions and Mixed Numbers
Divide. Write each quotient in simplest form.
1. 9 ÷ 5 _ 9 2. 7 _
8 ÷
1 _ 3 3. 9 _
14 ÷
3 _ 4
4. 8 _ 9 ÷
5 _ 6 5. 15 _
16 ÷
5 _ 8 6. 1 _
14 ÷ 7
7. 3 _ 5 ÷
7 _ 10
8. 5 _ 9 ÷
3 _ 8 9. 2 5 _
8 ÷
1 _ 2
10. 1 5 _ 6 ÷ 3 2 _
3 11. 21 ÷ 5 1 _
4 12. 1 7 _
9 ÷ 2 2 _
3
13. 2 1 _ 15
÷ 3 1 _ 3 14. 1 1 _
8 ÷ 2 2 _
3 15. 5 1 _
3 ÷ 2 1 _
2
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55 Course 2
NAME ________________________________________ DATE _____________ PERIOD _____
Operations with Fractions and Mixed Numbers
Add, subtract, multiply, or divide. Write each sum, difference, product, or quotient in simplest form.
1. 9 _ 20
+ 2 _ 15
2. 7 _ 8 -
5 _ 12
3. 1 _ 9 ×
6 _ 13
4. 5 _ 9 ÷
3 _ 8 5. 5 _
6 + 3 4 _
5 6. 19 _
25 -
1 _ 2
7. 5 _ 9 ×
3 _ 10
8. 15 ÷ 3 _ 5 9. 8 1 _
3 + 6 4 _
5
10. 3 23 _ 25
- 1 27 _ 50
11. 2 1 _ 6 × 1 3 _
4 12. 3 1 _
2 ÷ 1 7 _
9
13. 2 3 _ 15
+ 4 1 _ 25
14. 8 5 _ 12
- 8 1 _ 6 15. 3 5 _
7 × 1 1 _
2
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Course 2 56
NAME ________________________________________ DATE _____________ PERIOD _____
Operations with Fractions and Mixed Numbers
Add, subtract, multiply, or divide. Write each sum, difference, product, or quotient in simplest form.
1. 1 _ 4 +
3 _ 12
2. 5 _ 8 -
2 _ 5 3. 7 _
12 ×
4 _ 9
4. 5 _ 6 ÷
3 _ 8 5. 4 8 _
15 + 3 2 _
3 6. 8 5 _
8 - 5 11 _
20
7. 5 1 _ 4 × 10
3 _ 7 8. 6 3 _
4 ÷ 3 1 _
2 9. 3 1 _
5 + 6 2 _
3
10. 9 14 _ 15
- 6 2 _ 9 11. 1 5 _
9 × 6 1 _
4 12. 2 3 _
8 ÷ 5
3 _ 7
13. 7 1 _ 12
+ 4 3 _
10 14. 3 4 _
9 - 2 1 _
6 15. 6 1 _
8 × 5 1 _
7
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57 Course 2
NAME ________________________________________ DATE _____________ PERIOD _____
Using Order of Operations with Parentheses
1. 48 + (23 - 1) 2. 66 ÷ (9 + 2) 3. 9(2 + 5) - 3 · 4
4. 5 + 3(7 - 2) - 3 · 5 5. (5 + 7) · 4 6. 18 - (4 + 9)
7. (28 ÷ 4) + 13 8. (31 - 6) ÷ 5 9. (25 + 8) ÷ (2 + 1)
10. (5 + 9) · (4 + 3) 11. 30 - (5 · 6) + 14 12. 38 + (2 · 8) + 7
13. 42 - (7 · 3) - 10 14. 65 + (11 · 2) - 22 15. (7 · 6) ÷ 14 + 25
16. (63 ÷ 7) · 4 + 24 17. (12 · 4) + (18 · 4) 18. 20 · (4 + 16) · 5
19. (120 ÷ 4) · (5 · 6) + 50 20. (250 ÷ 5) ÷ (2 · 5) 21. (250 ÷ 5) ÷ 5 ÷ 10
Evaluate each expression.
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Course 2 58
NAME ________________________________________ DATE _____________ PERIOD _____
Using Order of Operations with Parentheses
1. 27 + (15 - 2) 2. 45 ÷ (7 + 2) 3. 7(3 + 4) - 2 · 3
4. 8 + 2(9 - 3) - 2 · 3 5. (2 + 6) · 5 6. 15 - (7 + 6)
7. (75 ÷ 3) + 20 8. (23 - 2) ÷ 3 9. (15 + 5) ÷ (3 + 1)
10. (4 + 8) · (6 + 5) 11. 17 - (2 · 4) + 25 12. 25 + (3 · 5) + 6
13. 29 - (8 · 3) - 1 14. 33 + (9 · 3) - 10 15. (8 · 9) ÷ 12 + 13
16. (99 ÷ 9) · 3 + 15 17. (10 · 3) + (15 · 3) 18. 10 · (3 + 15) · 3
19. (100 ÷ 25) · (5 · 2) (3 · 6) 20. (225 ÷ 5) ÷ (5 · 9) 21. (225 ÷ 5) ÷ 5 ÷ 9
Evaluate each expression.
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59 Course 2
NAME ________________________________________ DATE _____________ PERIOD _____
Using Order of Operations with Powers
1. 22 × 10 2 2. 48 ÷ 2 2 3. (8 - 1) 2 ÷ 7
4. 2 · 3 + 5 2 5. 7 × 10 3 + 250 6. ( 2 3 · 3 2 ) ÷ 6
7. 20 ÷ 2 2 × 3 8. 9 × (7 - 2 ) 2 9. 6 2 ÷ 3 + (8 - 2) 2
10. 5 × 2 3 + 2 × 5 2 11. 4 × ( 3 3 + 3) × 2 2 12. 1.6 × 10 2
13. 3 × 10 - 3 2 14. 35 ÷ 7 + 5 2 15. 5 3 - (1 + 4) 2
16. ( 3 3 × 2 2 ) ÷ 6 + 2 17. ( 3 3 × 2 2 ) ÷ (4 + 8) 18. (5 + 7 ) 2 ÷ (3 · 2 2 )
19. (22 + 3 2 × 2) ÷ 5 20. 32 ÷ 2 3 · 3 2 + 14 21. 5(12.5 + 2.5) ÷ 5 2
Evaluate each expression.
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Course 2 60
NAME ________________________________________ DATE _____________ PERIOD _____
Using Order of Operations with Powers
Evaluate each expression.
1. 7 2 + 30 ÷ 3 2. 100 - 5 2 - 3 2 - 2 2 3. ( 2 3 + 19) ÷ 3 - 3 2
4. 8 2 - 28 ÷ 4 5. 38 + 4 2 ÷ 2 6. 10 2 - 6 2 ÷ 9
7. 65 × 10 3 8. 25 × (8 - 6 ) 2 + 65 9. 1.86 × 10 2
10. 6 × 2 2 + 2 × 6 2 11. 6 × ( 2 2 + 2) × 6 2 12. ( 5 3 × 2 2 ) + ( 2 2 × 5 3 )
13. ( 4 3 ÷ 8) + ( 4 3 ÷ 4) 14. 98 ÷ 2 + 7 2 15. 9 × 2 2 + 45 ÷ 3 2
16. ( 2 3 × 3 2 ) ÷ 4 + 12 17. ( 3 2 × 2 2 ) ÷ (3 + 9) 18. (2 + 7 ) 2 - (3 - 1) 2
19. ( 5 2 + 5 2 ) ÷ 5 - 9 20. (2 2 × 3 + 2 2 ) ÷ (5 - 3 ) 2 21. 3(10.2 + 1.8) ÷ 6 2
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61 Course 2
NAME ________________________________________ DATE _____________ PERIOD _____
1. 10 + (3 + 5) = (10 + 3) + 5 2. 22 × 13 = 13 × 22
3. 17 × 1 = 17 4. 8(1 + 3) = 8(1) + 8(3)
5. 7 × (9 × 10) = (7 × 9) × 10 6. 25 + 0 = 25
7. 9(18) + 9(2) = 9(18 + 2) 8. (8 + 13) + 0 = (8 + 13)
9. 62 × 1 = 1 × 62 10. 3(5 + 7) = (5 + 7)3
11. 35 × 120 + 35 × 80 = 35(120 + 80) 12. (6 × 8) × 1 = (6 × 8)
13. 0 + 125 = 125 + 0 14. 0 + (9 × 8) = (9 × 8)
Identifying Properties
Identify the property shown by each equation.
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Course 2 62
NAME ________________________________________ DATE _____________ PERIOD _____
1. 39 × 1 = 39 2. 5 × (12 × 20) = (5 × 12) × 20
3. 22 + (43 + 45) = (22 + 43) + 45 4. 12(2 + 8) = 12(2) + 12(8)
5. 72 + 0 = 72 6. 49 × 2 = 2 × 49
7. 125 × 1 = 1 × 125 8. 15(17) + 15(3) = 15(17 + 3)
9. 43 + (4 + 6) = (4 + 6) + 43 10. 0 + 388 = 388 + 0
11. (12 + 20) × 1 = (12 × 20) 12. (43 + 22) + 0 = (43 + 22)
13. (6 × 5) + 0 = (6 × 5) 14. 63 × 75 + 63 × 25 = 63(75 + 25)
Identifying Properties
Identify the property shown by each equation.
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63 Course 2
NAME ________________________________________ DATE _____________ PERIOD _____
1. 8 × 32 2. 52 + (8 + 37)
3. 15 × 11 4. (7 + 3) × 1
5. 125 + (75 + 50) 6. 46 × 12
7. (63 + 85) + 15 8. 68 + (32 + 45)
9. 45 + 29 + 25 10. 17 × 105
11. (99 × 5) × 2 12. (8 · 9) + 0
13. 25 × 84 × 4 14. 4 × 120 × 5
Using Properties
Simplify each expression. Tell which property you used.
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Course 2 64
NAME ________________________________________ DATE _____________ PERIOD _____
Using Properties
Simplify each expression. Tell which property you used.
1. 43 + (37 + 50) 2. 67 + 240 + 33
3. 82 × 11 4. (235 × 5) × 2
5. 45 × 12 6. 4 × 320 × 5
7. 185 + 94 + 15 8. (48 + 12) · 1
9. 84 + (6 + 125) 10. 6 × 91 × 5
11. (367 + 57) + 43 12. 0 + (9 × 5)
13. 99 × 15 14. 250 × 59 × 4
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65 Course 2
NAME ________________________________________ DATE _____________ PERIOD _____
Fractions, Decimals, and Percents
Write each percent as a fraction in simplest form and as a decimal.
1. 5% 2. 22% 3. 50%
4. 420% 5. 75% 6. 1%
7. 0.02 8. 0.2 9. 1.02
10. 0.66 11. 0.11 12. 0.35
13. 77 _ 100
14. 3 _ 4 15. 17 _
20
16. 3 _ 25
17. 3 3 _ 10
18. 27 _ 50
Write each decimal as a fraction in simplest form and as a percent.
Write each fraction as a decimal and as a percent.
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Course 2 66
NAME ________________________________________ DATE _____________ PERIOD _____
Fractions, Decimals, and Percents
Write each percent as a fraction in simplest form and as a decimal.
1. 100% 2. 37% 3. 19%
4. 9% 5. 90% 6. 900%
7. 0.03 8. 0.31 9. 0.09
10. 5.2 11. 2.22 12. 0.08
13. 2 _ 5 14. 3 _
50 15. 8 _
5
16. 2 19 _ 20
17. 11 _ 25
18. 5 _ 4
Write each decimal as a fraction in simplest form and as percent.
Write each fraction as a decimal and as a percent.
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67 Course 2
NAME ________________________________________ DATE _____________ PERIOD _____
Comparing and Ordering Integers
1. -5 ● -55 2. 4 ● -66 3. -777 ● -77
4. -75 ● -75 5. -898 ● -99 6. 0 ● 44
7. 56 ● -1 8. -82 ● -9 9. -6 ● -7
10. 0, 3, -21, 9 11. -89, 8, -65 -56 12. 70, -9, 67 -78
13. 0, 45, -36, -19 14. 12, 8, -9, -12 15. 10, 16, -8, -12
16. 65, 34, -50, -64 17. 28, -45, -28, 45 18. - 4, 69, - 14, 22
Order each set of integers from least to greatest.
Replace each ● with <, >, or = to make a true statement.
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Course 2 68
NAME ________________________________________ DATE _____________ PERIOD _____
1. 90 ● 101 2. 4 ● -2,000 3. -3 ● 0
4. 8 ● 6 5. -5 ● -7 6. -2 ● 0
7. 3 ● -2 8. -5 ● 5 9. -84 ● -84
10. -30, 33, -70, 75 11. -3, 77, 0, -48 12. 41, 6, -19, -25
13. -54, 7, -8, -14, 9, -33 14. -17, -16, 12, 24, -7 15. 9, -5, -13, -8, 1
16. 22, 4, 14, -2, -5 17. -55, 143, 18, -79, 44, 101
18. -221, 63, 54, -89, -71, -10
Order each set of integers from least to greatest.
Replace each ● with <, >, or = to make a true statement.
Comparing and Ordering Integers
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69 Course 2
NAME ________________________________________ DATE _____________ PERIOD _____
Ratios and Rates
Write each ratio as a fraction in simplest form.
1. 15 girls in a class of 27 students 2. 8 black socks out of 22 colored socks
3. 10 golden retrievers out of 18 dogs 4. 12 blue marbles in a jar of 36 marbles
5. 6 carnations in a bouquet of 21 flowers 6. 24 convertibles out of 80 cars
7. $9 for 6 cans of vegetable soup 8. $350 for 40 hours of work
9. 480 parts produced in 16 hours 10. $4.50 for two dozen cookies
11. 300 words typed in 8 minutes 12. 260 miles in 4 hours
Write each rate as a unit rate.
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Course 2 70
NAME ________________________________________ DATE _____________ PERIOD _____
Ratios and Rates
Write each ratio as a fraction in simplest form.
1. 12 wins out of 16 games 2. 3 red pens to 15 total pens
3. 6 out of 15 people agree 4. 8 dimes to 22 total coins
5. 26 students to 2 teachers 6. 16 girls out of 24 students
7. $62 for 4 tickets 8. 3 inches of rain in 4 days
9. 18 ounce box of cereal for $3.50 10. $2.00 for 10 cans of corn
11. 160 points in 20 games 12. 345 miles on 15 gallons
Write each rate as a unit rate.
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71 Course 2
NAME ________________________________________ DATE _____________ PERIOD _____
Name the ordered pair for each point graphed.
1. 2.
3. 4.
5. 6.
7. 8.
9. 10.
Graphing Points on a Coordinate Plane
y
x
123456789
1 2 3 4 5 6 7 8 9
y
x
123456789
1 2 3 4 5 6 7 8 9
y
x
123456789
1 2 3 4 5 6 7 8 9
y
x
123456789
1 2 3 4 5 6 7 8 9
y
x
123456789
1 2 3 4 5 6 7 8 9
y
x
123456789
1 2 3 4 5 6 7 8 9
y
x
123456789
1 2 3 4 5 6 7 8 9
y
x
123456789
1 2 3 4 5 6 7 8 9
y
x
123456789
1 2 3 4 5 6 7 8 9
y
x
123456789
1 2 3 4 5 6 7 8 9
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Course 2 72
NAME ________________________________________ DATE _____________ PERIOD _____
Graphing Points on a Coordinate Plane
Graph each ordered pair.
1. 2.
3. 4.
5. 6.
7. 8.
9. 10.
y
x
123456789
1 2 3 4 5 6 7 8 9
y
x
123456789
1 2 3 4 5 6 7 8 9
y
x
123456789
1 2 3 4 5 6 7 8 9
y
x
123456789
1 2 3 4 5 6 7 8 9
y
x
123456789
1 2 3 4 5 6 7 8 9
y
x
123456789
1 2 3 4 5 6 7 8 9
y
x
123456789
1 2 3 4 5 6 7 8 9
y
x
123456789
1 2 3 4 5 6 7 8 9
y
x
123456789
1 2 3 4 5 6 7 8 9
y
x
123456789
1 2 3 4 5 6 7 8 9
A(3, 4),B(7, 2)
C(5, 7),D(6, 1)
G(8, 7),H(7, 5)
E(1, 5),F(5, 3)
I(3, 5),J(9, 4)
K(1, 7),L(6, 4)
M(4, 9),N(5, 5)
P(9, 3),Q(4, 6)
T(9, 5),U(5, 7)
R(2, 8),S(7, 1)
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73 Course 2
NAME ________________________________________ DATE _____________ PERIOD _____
Displaying Data on Graphs
For Exercises 1–6, use the data set 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(s) has the most data points?
6. Which interval has the fewest data points?
7. Write the stems that would be used for the stem-and-leaf plot of this data.
8. Make a stem-and-leaf plot using the data.
9. Which interval(s) has the most data points?
10. Which interval has the fewest data points?
For Exercises 7–10, use the data set below. {23, 15, 39, 68, 57, 42, 51, 52, 41, 18, 29, 33, 30, 12}
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Course 2 74
NAME ________________________________________ DATE _____________ PERIOD _____
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(s) 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
7. Describe a situation that this data could represent.
8. Display this data with a graph.
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75 Course 2
NAME ________________________________________ DATE _____________ PERIOD _____
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 if necessary.
Displaying Data on Graphs
Determine which type of graph is most appropriate for each set of data. Explain your choice.
For Exercises 3–6, use the table that shows the home runs hit by several players in a recent Major League Baseball season.
For Exercises 7–8, use the table below.
Player Howard Dunn Delgado Braun Cabrera Ludwick
Home Runs 48 40 38 37 37 37
Day Monday Tuesday Wednesday Thursday Friday Saturday Sunday
Price $3.27 $3.23 $3.24 $3.31 $3.34 $3.32 $3.30
1. the prices of several types of athletic shoes
2. the values of two stocks compared over the period of several weeks
7. Describe a situation that this data could represent.
8. Display this data with a graph.
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Course 2 76
NAME ________________________________________ DATE _____________ PERIOD _____
5. 8 pt = 4 _________ 6. 5 c = 2.5 _________
7. 96 oz = 6 _________ 8. 5 T = 10,000 _________
9. 2.5 lbs = 40 _________ 10. 2 T = 4,000 _________
1. A glass of water contains 8 ____________.
2. A computer weighs 25 ______________.
3. That truck weighs 10 _________. 4. A grey squirrel is about 11 _________ long.
Measurement: The Customary System
Complete each sentence with the most reasonable unit of measure: inch(es), foot(feet), yard(s), mile(s), cup(s), pint(s), quarts(s), gallon(s), ounce(s), pound(s), or ton(s).
Complete.
Estimate.
??
?
? ?
? ?
? ?
?
11. the amount of water in a pool 12. the weight of a penny
13. the weight of a car 14. the weight of a newborn baby
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77 Course 2
NAME ________________________________________ DATE _____________ PERIOD _____
7. 20 quarts = ______________ gallons 8. 8 miles = ______________ feet
9. 2 tons = ______________ ounces 10. 256 fluid ounces = ______________ gallons
11. 1 mile = ______________ inches 12. 48,000 ounces = ______________ tons
Measurement: The Customary System
Choose the best estimate by circling the most appropriate unit in the parentheses.
Complete.
? ?
? ?
? ?
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.
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Course 2 78
NAME ________________________________________ DATE _____________ PERIOD _____
7. 940 mg = ______________ g 8. 85 L = ______________ kL
9. 1.5 km = ______________ m 10. 850 g = ______________ kg
11. 21.2 kL = ______________ mL 12. 1,400 mm = ______________ cm
Measurement: The Metric System
Complete.
?
?
?
Complete each sentence with the most reasonable metric unit of measure.
1. One of the basketball players is about 2 (mm, cm, m) tall.
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.
?
?
?
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79 Course 2
NAME ________________________________________ DATE _____________ PERIOD _____
1. 470 mm = 47 ________ 2. 0.8 L = 800 ________
3. 68.2 kg = 68,200 ________ 4. 9,876 g = 9.876 ________
5. 15.4 cm = 0.154 ________ 6. 1.1 m = 110 ________
7. 1.8 km = 1,800 _________ 8. 30 g = 0.03 _________
9. There are 0.09 liters in 90 ___________. 10. 12,000 _______ are in 0.012 kilograms.
Measurement: The Metric System
Complete each sentence with the most reasonable unit of measure.
Estimate.
? ?
? ?
? ?
? ?
? ?
11. the length of a pencil 12. the capacity of a glass of water
13. the mass of a paper clip 14. the length of a track
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Course 2 80
NAME ________________________________________ DATE _____________ PERIOD _____
Area
Find the area of each figure.
1.
8 in.
8 in.
2.
6.5 cm
6.5 cm
3.
4.2 m
8.6 m
4.
10.5 ft
6.4 ft
5.
6 mi
3 mi 6.
16 in.
11 in.
7. 6 in.
4 in.12
8.
10 cm
2 cm
9.
5.8 m
3 m
3.2 m
10.
28 cm
16 cm
14 cm
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81 Course 2
NAME ________________________________________ DATE _____________ PERIOD _____
Area
Find the area of each figure.
1.
9 m
9 m
2.
4.8 in.
4.8 in.
3.
10 ft
22 ft
4.
8.7 cm
5.8 cm
5. 10.3 m
9.7 m
6.
7.4 ft
6.5 ft
7 ft
7.
8.5 mm
6 mm14.2 mm
8.
22 cm
25 cm
9.
7 mi
9.8 mi
12 mi 10.
9.6 in.
4.5 in.
4.5 in.
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ISBN: 978-0-07-893595-4MHID: 0-07-893595-4
www.glencoe.com
Skills Include:• Whole Number Operations
• Decimal Operations
• Fraction Operations
• Order of Operations
• Properties
• Integers
• Ratios
• Data Displays
• Measurement
glencoe.com
Also available online:
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