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Page 1: Quick Review Skills Workbook - smmknight.org

Course 2

Quick Review Skills Workbook

Also available online at

connectEd.mcgraw-hill.com

Page 2: Quick Review Skills Workbook - smmknight.org

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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Page 3: Quick Review Skills Workbook - smmknight.org

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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Course 2 2

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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Course 2 4

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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Course 2 16

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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