Copyright © The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use. NAME ___________________________________________________ DATE _____________________ PERIOD __________ 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 14. 9t - 21 = 3(t - 7) + 6t Solve. Graph each solution on a number line. 15. 3x + 9 < 18 x < 3 16. 5 + 2c < -9 c < -7 5 4 3 2 1 -9 -8 -7 -6 -5 17. 4x - 3 < 2 - x x < 1 18. 3(n + 2) < 24 n < 6 -1 0 1 2 3 5 4 6 7 8 19. 11 + 2b ≤ 3(2 - b) b ≤ -1 20. m − 3 + 5 ≥ 2 m ≥ -9 1 0 -3 -2 -1 -11 -10 -9 -8 -7 21. 1 − 2 (8 - x) > 6 x < -4 22. c − 4 + 7 ≥ 5 c ≥ -8 -6 -5 -4 -3 -2 -10 -9 -8 -7 -6 23. y - 3 < 5y + 1 y > -1 24. 20 - 2n > 26 n < -3 1 0 -3 -2 -1 -5 -4 -3 -2 -1 25. 1 − 3 (x - 6) < 2 x < 12 26. 5 - 2k ≤ 15 k ≥ -5 14 13 12 11 10 -5 -4 -3 -6 -7 27. -2(3 + t) < -8 t > 1 28. n − 4 - 9 > 5 n > 56 3 2 1 0 -1 58 57 56 55 54 identity; all numbers identity; all numbers null set; no solution Math Accelerated • Chapter 8 Equations and Inequalities