NAME DATE PERIOD Lesson 8 Skills Practice

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Lesson 8 Skills Practice

Solving Multi-Step Equations and Inequalities

Solve. Check your solutions.

1. 2(g - 7) = 16 15

2. 5(x + 2) = 30 4

3. 3(2d + 7) = 39 3

4. 4(a - 2) = 3(a + 4) 20

5. 3(f + 2) + 9 = 13 + 5f 1

6. 2(x - 4) = 3(1 + x) -11

7. 2n + 5 = 4(n + 2) - n -3

8. 4(x + 3) = x -4

9. 2(c - 3) = 76 41

10. 7(x - 2) = 5(x + 2) 12

11. 2(6x + 1) = 4(x - 5) - 2 -3

12. 4(2b - 6) + 11 = 8b - 13

13. 6 + 6(2t - 1) = 3 + 12t null set; no solution

14. 9t - 21 = 3(t - 7) + 6t identity; all numbers

Solve. Graph each solution on a number line.

15. 3x + 9 < 18 x < 3

16. 5 + 2c < -9 c < -7

identity; all numbers

12345

17. 4x - 3 < 2 - x x < 1

-9 -8 -7 -6 -5

18. 3(n + 2) < 24 n < 6

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-1 0 1 2 3

19. 11 + 2b 3(2 - b) b -1

-3 -2 -1 0 1

21. -12 (8 - x) > 6 x < -4

-6 -5 -4 -3 -2

23. y - 3 < 5y + 1 y > -1

45678

20. -m3 + 5 2 m -9

-11 -10 -9 -8 -7

22. -4c + 7 5 c -8

-10 -9 -8 -7 -6

24. 20 - 2n > 26 n < -3

-3 -2 -1 0 1

25. -13 (x - 6) < 2 x < 12

-5 -4 -3 -2 -1

26. 5 - 2k 15 k -5

10 11 12 13 14

27. -2(3 + t) < -8 t > 1

-7 -6 -5 -4 -3

28. -n4 - 9 > 5 n > 56

-1 0 1 2 3

54 55 56 57 58

Math Accelerated ? Chapter 8 Equations and Inequalities

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