Copyright © The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use. NAME ___________________________________________________ DATE _____________________ PERIOD __________ Lesson 5 Homework Practice Solving Equations with Variables on Each Side Solve each equation. Check your solutions. 1. 3g - 12 = 9g -2 2. 14m = 18 + 12m 9 3. 7c - 7 = 4c + 17 8 4. -11t = 15 - 6t -3 5. 20s + 4 = 13s - 10 -2 6. -2h - 16 = 3(h - 2) -2 7. 27j - 6 = 14 j + 7 1 8. -1 + 19w = 11w + 23 3 9. 8 - p = -12 - 3p -10 10. 9k - 26 = 6k - 8 6 11. 4(7 - d) = 5d - 17 5 12. 2y + 7 = y -7 13. 11.7 - 2x = x 3.9 14. 3b + 4.4 = 2.6 - 6b -0.2 15. 3 − 4 y - 6 = 1 − 4 y + 10 32 16. 2c + 7.5 = 6.2 - 3c -0.26 17. 5d - 11 = 2d + 2 13 − 3 or 4 1 − 3 18. 6a - 10 = 2a - 7 3 − 4 19. 8n - 6 = -9n + 11 1 20. 2f - 9 = 14f + 1 - 5 − 6 Write an equation to find each number. Then solve. 21. Twice a number is 60 more than five times the number. What is the number? Let x = the number; 2x = 5x + 60; -20 22. Four times a number is 21 more than the number. What is the number? Let x = the number; 4x = x + 21; 7 23. Eight less than three times a number equals the number. What is the number? Let x = the number; 3x - 8 = x; 4 24. A number equals six less than four times a number. What is the number? Let x = the number; x = 4x - 6; 2 25. The area of a tennis court is 2808 ft 2 , or 8 square feet more than 3.5 times the size of the area of a racquetball court. What is the area of a raquetball court? 800 ft 2 26. One cellular phone carrier charges $26.50 a month plus $0.15 a minute for local calls. Another carrier charges $14.50 a month and $0.25 a minute for local calls. For how many minutes is the cost of the plans the same? 120 minutes Math Accelerated • Chapter 8 Equations and Inequalities

NAME DATE PERIOD Lesson 5 Homework Practice...Lesson 5 Homework Practice Solving Equations with Variables on Each Side Solve each equation. Check your solutions. 1. 3g - 12 = 9g-2

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Page 1: NAME DATE PERIOD Lesson 5 Homework Practice...Lesson 5 Homework Practice Solving Equations with Variables on Each Side Solve each equation. Check your solutions. 1. 3g - 12 = 9g-2

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NAME ___________________________________________________ DATE _____________________ PERIOD __________

Lesson 5 Homework PracticeSolving Equations with Variables on Each Side

Solve each equation. Check your solutions. 1. 3g - 12 = 9g -2 2. 14m = 18 + 12m 9

3. 7c - 7 = 4c + 17 8 4. -11t = 15 - 6t -3

5. 20s + 4 = 13s - 10 -2 6. -2h - 16 = 3(h - 2) -2

7. 27j - 6 = 14 j + 7 1 8. -1 + 19w = 11w + 23 3

9. 8 - p = -12 - 3p -10 10. 9k - 26 = 6k - 8 6

11. 4(7 - d) = 5d - 17 5 12. 2y + 7 = y -7

13. 11.7 - 2x = x 3.9 14. 3b + 4.4 = 2.6 - 6b -0.2

15. 3 −

4 y - 6 = 1 −

4 y + 10 32 16. 2c + 7.5 = 6.2 - 3c -0.26

17. 5d - 11 = 2d + 2 13

−

3 or 4

1 −

3 18. 6a - 10 = 2a - 7

3 −

19. 8n - 6 = -9n + 11 1 20. 2f - 9 = 14f + 1 -

5 −

Write an equation to find each number. Then solve. 21. Twice a number is 60 more than five times the number. What is the number?

Let x = the number; 2x = 5x + 60; -20

22. Four times a number is 21 more than the number. What is the number? Let x = the number; 4x = x + 21; 7

23. Eight less than three times a number equals the number. What is the number? Let x = the number; 3x - 8 = x; 4

24. A number equals six less than four times a number. What is the number? Let x = the number; x = 4x - 6; 2

25. The area of a tennis court is 2808 ft2, or 8 square feet more than 3.5 times the size of the area of a racquetball court. What is the area of a raquetball court? 800 ft2

26. One cellular phone carrier charges $26.50 a month plus $0.15 a minute for local calls. Another carrier charges $14.50 a month and $0.25 a minute for local calls. For how many minutes is the cost of the plans the same? 120 minutes

Program: Pre-Algebra

Vendor: Aptara

Component: CRM_C08_L5

Grade: AMPDF Pages

Math Accelerated • Chapter 8 Equations and Inequalities

021_025_AM_ANC_C08_L5_664489.indd Page 23 25/07/12 2:43 AM s-019021_025_AM_ANC_C08_L5_664489.indd Page 23 25/07/12 2:43 AM s-019 /Volumes/104/GO01101_del/Accelerated_Maths_2014/PRE_ALGEBRA/ANCILLARIES.../Volumes/104/GO01101_del/Accelerated_Maths_2014/PRE_ALGEBRA/ANCILLARIES...