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Name                                          Period              Date



Practice 3-2                                                  Solving Multi-Step Equations

Solve each equation. Check your answer.




 1. 2n + 3n + 7 = –41           2. 2x – 5x + 6.3 = –14.4   3. 2z + 9.75 – 7z = –5.15




 4. 3h – 5h + 11 = 17           5. 2t + 8 – t = – 3        6. 6a – 2a = –36




 7. 3c – 8c + 7 = –18           8. 7g + 14 – 5g = –8       9. 2b – 6 + 3b = 14
10. 2(a – 4) + 15 = 13     11. 7 + 2(a – 3) = –9     12. 13 + 2(5c – 2) = 29




13. 5(3x + 12) = –15       14. 4(2a + 2) – 17 = 15   15. 2(m + 1) = 16




16. –4x + 3(2x – 5) = 31   17. –6 – 3(2k + 4) = 18   18. 3(t – 12) = 27
19. –w + 4(w + 3) = –12   20. 4 = 0.4(3d – 5)        21. –4d + 2(3 + d) = –14




22. 2x +           =7     23. 2(3a + 2) = –8         24. 5(t – 3) – 2t = –30




25. 5(b + 4) – 6b = –24   26.             – 8 = 12   27. 0.4(2s + 4) = 4.8
28.              = 36   29.           = 26   30. 0.5(2x – 4) = –17




31. 18 =                32.   = –6           33.    =




34.    +   =14          35.          =8      36.         = –7
==




37.        +   =22   38.        = –28        39. –8 =




40.    –             41. –9 =                42.    –




43.    =             44.                =8   45.        = –4
Write an equation to model each situation. Solve your equation.
46. The attendance at a baseball game was 400 people. Student tickets
    cost $2 and adult tickets cost $3. Total ticket sales were $1050. How
    many tickets of each type were sold?




47. The perimeter of a pool table is 30 ft. The table is twice as long as it
    is wide. What is the length of the pool table?
48. Lopez spent 3 of his vacation money for travel and 5 of his vacation
    money for lodging. He spent $1100 for travel and lodging. What is
    the total amount of money he spent on his vacation?




49. Victoria weighs 7 as much as Mario. Victoria weighs 125 lb. How
    much does Mario weigh?




50. Denise’s cell phone plan is $29.95 per month plus $.10 per minute for
    each minute over 300 minutes of call time. Denise’s cell phone bill is
    $99.95. For how many minutes was she billed?

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3.2 worksheet

  • 1. Name Period Date Practice 3-2 Solving Multi-Step Equations Solve each equation. Check your answer. 1. 2n + 3n + 7 = –41 2. 2x – 5x + 6.3 = –14.4 3. 2z + 9.75 – 7z = –5.15 4. 3h – 5h + 11 = 17 5. 2t + 8 – t = – 3 6. 6a – 2a = –36 7. 3c – 8c + 7 = –18 8. 7g + 14 – 5g = –8 9. 2b – 6 + 3b = 14
  • 2. 10. 2(a – 4) + 15 = 13 11. 7 + 2(a – 3) = –9 12. 13 + 2(5c – 2) = 29 13. 5(3x + 12) = –15 14. 4(2a + 2) – 17 = 15 15. 2(m + 1) = 16 16. –4x + 3(2x – 5) = 31 17. –6 – 3(2k + 4) = 18 18. 3(t – 12) = 27
  • 3. 19. –w + 4(w + 3) = –12 20. 4 = 0.4(3d – 5) 21. –4d + 2(3 + d) = –14 22. 2x + =7 23. 2(3a + 2) = –8 24. 5(t – 3) – 2t = –30 25. 5(b + 4) – 6b = –24 26. – 8 = 12 27. 0.4(2s + 4) = 4.8
  • 4. 28. = 36 29. = 26 30. 0.5(2x – 4) = –17 31. 18 = 32. = –6 33. = 34. + =14 35. =8 36. = –7
  • 5. == 37. + =22 38. = –28 39. –8 = 40. – 41. –9 = 42. – 43. = 44. =8 45. = –4
  • 6. Write an equation to model each situation. Solve your equation. 46. The attendance at a baseball game was 400 people. Student tickets cost $2 and adult tickets cost $3. Total ticket sales were $1050. How many tickets of each type were sold? 47. The perimeter of a pool table is 30 ft. The table is twice as long as it is wide. What is the length of the pool table?
  • 7. 48. Lopez spent 3 of his vacation money for travel and 5 of his vacation money for lodging. He spent $1100 for travel and lodging. What is the total amount of money he spent on his vacation? 49. Victoria weighs 7 as much as Mario. Victoria weighs 125 lb. How much does Mario weigh? 50. Denise’s cell phone plan is $29.95 per month plus $.10 per minute for each minute over 300 minutes of call time. Denise’s cell phone bill is $99.95. For how many minutes was she billed?