name date period lesson 8 homework practice · 2018. 3. 26. · five times the sum of three...

Copyright © The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use. NAME ___________________________________________________ DATE _____________________ PERIOD __________ Lesson 8 Homework Practice Solving Multi-Step Equations and Inequalities Solve. Check your solutions. 1. 4(j - 7) = 12 10 2. 5(2k + 10) = 40 -1 3. 7(2p + 3) - 8 = 14p - 13 4. 7(g - 4) = 3 31 − 7 or 4 3 − 7 5. 3(4c + 5) = 24 0.75 6. 2(a - 1) = 3(a + 1) -5 7. 3(x - 3) = 5(1.5 + x) -8.25 8. 2(1.5m + 3) = 3.5m - 1 14 9. a - 1 − 2 = 2a - 3 − 5 0.1 10. 2 1 − 5 x - 5 = 2(1 2 − 5 x + 3) - 55 − 3 or -18 1 − 3 11. d − 0.2 = 3d + 2.1 1.05 12. 5n + 3 = 2(n + 2) + 3n 13. 2 − 3 a + 2 = 1 − 3 (4a + 1) 5 − 2 or 2 1 − 2 14. y - 7 = 1 − 4 (y + 2) 10 Solve. Graph each solution on a number line. 15. 2 − 3 (12 - x) > 4 x < 6 16. 1 − 2 (8 - c) < 7.5 c > -7 8 7 6 5 4 -5 -6 -7 -8 -9 17. c − 3 + 7 > 5 1 − 2 c > -4 1 − 2 18. 7 + 2p < -14 p < -10.5 -2 -3 -4 -5 -6 -9 -10 -11 -12 -13 19. -3(x + 3) > 7.5 x < -5.5 20. 5 - 3c ≤ c + 17 c ≥ -3 -4 -5 -6 -7 -8 -1 -2 -3 -4 -5 21. 2(n - 5) ≤ -7 n ≤ 1.5 22. 18 - n − 2 ≤ 6 n ≥ 6 0 1 2 3 -1 5 4 6 7 8 23. The perimeter of a rectangle is 80 feet. Find the dimensions if the length is 5 feet longer than four times the width. Then find the area of the rectangle. w = 7 ft, ℓ = 33 ft; A = 231 ft 2 24. Five times the sum of three consecutive integers is 150. What are the integers? 9, 10, 11 25. Admission to the state fair costs $5 and each ride costs $0.75. If Ahmed wants to spend no more than $14 at the fair, how many rides can he ride? 12 rides identity; all numbers null set; no solution Math Accelerated • Chapter 8 Equations and Inequalities

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Page 1: NAME DATE PERIOD Lesson 8 Homework Practice · 2018. 3. 26. · Five times the sum of three consecutive integers is 150. What are the integers? 9, 10, 11 25. Admission to the state

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NAME ___________________________________________________ DATE _____________________ PERIOD __________

Lesson 8 Homework PracticeSolving Multi-Step Equations and Inequalities

Solve. Check your solutions.

1. 4(j - 7) = 12 10 2. 5(2k + 10) = 40 -1

3. 7(2p + 3) - 8 = 14p - 13 4. 7(g - 4) = 3 31

−

7 or 4

3 −

5. 3(4c + 5) = 24 0.75 6. 2(a - 1) = 3(a + 1) -5

7. 3(x - 3) = 5(1.5 + x) -8.25 8. 2(1.5m + 3) = 3.5m - 1 14

9. a -

1 − 2 = 2a - 3 −

5 0.1 10. 2 1 −

5 x - 5 = 2(1 2 −

5 x + 3) -

55 −

3 or -18

1 −

11. d −

0.2 = 3d + 2.1 1.05 12. 5n + 3 = 2(n + 2) + 3n

13. 2 −

3 a + 2 = 1 −

3 (4a + 1) 5 −

2 or 2

1 −

2 14. y - 7 = 1

− 4 (y + 2) 10

Solve. Graph each solution on a number line.

15. 2 −

3 (12 - x) > 4 x < 6 16. 1 −

2 (8 - c) < 7.5 c > -7

87654 -5-6-7-8-9

17. c −

3 + 7 > 5 1 −

2 c > -4 1

−

2 18. 7 + 2p < -14 p < -10.5

-2-3-4-5-6 -9-10-11-12-13

19. -3(x + 3) > 7.5 x < -5.5 20. 5 - 3c ≤ c + 17 c ≥ -3

-4-5-6-7-8 -1-2-3-4-5

21. 2(n - 5) ≤ -7 n ≤ 1.5 22. 18 - n −

2 ≤ 6 n ≥ 6

0 1 2 3-1 54 6 7 8

23. The perimeter of a rectangle is 80 feet. Find the dimensions if the length is 5 feet longer than four times the width. Then find the area of the rectangle. w = 7 ft, ℓ = 33 ft; A = 231 ft 2

24. Five times the sum of three consecutive integers is 150. What are the integers? 9, 10, 11

25. Admission to the state fair costs $5 and each ride costs $0.75. If Ahmed wants to spend no more than $14 at the fair, how many rides can he ride? 12 rides

identity; all numbers

null set; no solution

Program: Pre-Algebra

Vendor: Aptara

Component: ANC_C08_L8

Grade: AMPDF Pages

Math Accelerated • Chapter 8 Equations and Inequalities

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