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Solving Multistep Equations Practice Problems

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Updated on Aug 24, 2011

To review these concepts, go to Solving Multistep Equations Study Guide.

Practice

Solve the equations. Show each step you use to solve the equation.

  1. 16 – 5s = –19
  2. x ÷ 3 + 4 = –6 
  3. 14x – 2 = 26 
  4. 15 = 5x + 10 
  5. 11 – 4x = –33 
  6. 17 + x ÷ 6 = 27 
  7. –2m – 20 = –32 
  8. 23x – 16 = 53 
  9. 7 = 8s + 5 
  10. 16 = 9t + 7 
  11. –13 = –3x + 2 
  12. 3x + 1= 6 
  13. 2.2x + 1 = 3.2
  14. –2x + 1 = 27
  15. 3 – 2x = 1
  16. 5x + 2 = 2

Solve the word problems by setting up equations.

  1. Ian earns as much as Jill. His early income is $38,000. How much does Jill earn?
  2. You can save the cost of a new washing machine during a sale. The sale price of the washing machine you plan to buy is $400. What is the regular price of the washing machine? (If your savings are of the original cost, then your sale price must be the original cost.) 
  3. You do an exercise regimen that includes sit-ups. You are currently doing 5 more than twice the number of sit-ups that you did when you started your exercise program. You can currently do 35 sit-ups. How many did you do when you started exercising? 
  4. At Acme Inc., there are 3 more than twice as many salespeople as inventors. If the whole company has 27 employees, how many inventors are there? 
  5. Suppose you just deposited $500 into a bank account that has earned 5% interest on the amount you initially invested. If the new balance is $1,760, what was your initial investment? 
  6. Jack paid $21,000 for his new car. This was the suggested selling price of the car. What was the suggested selling price of the car? 
  7. After putting 324 messenger bags into packing crates, 54 were crates filled with bags. If each crate contained the same number of bags, how many bags were in each packing crate? 
  8. Only 3% of turtle hatchlings will live to become breeding adults. How many turtles must have been born if the current number of breeding adults is 1,200? 
  9. This year, a farmer planted 300 acres of corn. This was 1.5 times as many acres as he planted last year. How many acres did he plant last year? 
  10. A business executive received a $6,000 bonus check from her company at the end of the year. This was 5% of her annual salary. How much was her annual salary before receiving the bonus?  

Solve the equations. Show all the steps needed to solve each equation.

  1. 41 – 2m = 65
  2. 4m – 14 = 50
  3. 7m – 6 = –2.5
  4. 10s – 6 = 0
  5. 8s – 7 = 41
  6. –55 = 25 –s

Solutions

  1. 7
  2. –30
  3. 2
  4. 1
  5. 11
  6. 60
  7. 6
  8. 3
  9. 1
  10. 5
  11. –6
  12. –40
  13. 1
  14. –52
  15. –13
  16. 1
  17. –4
  18. 0
  19. 2x + 5 = 35, 15 sit-ups
  20. x + (2x + 3) = 27, x = 8 inventors
  21. x + 0.05x + 500 = 1,760, x = $1,200
  22. $24,000
  23. 6
  24. 40,000
  25. 200
  26. $120,000
  27. 21
  28. 12
  29. 4
  30. 10
  31. –24
  32. 2
  33. 0
  34. –15
  35. –4.5
  36. 18
  37. 6
  38. –12
  39. 16
  40. 20
  41. 0.5
  42. 0.6
  43. 1.2
  44. 6
  45. 80
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