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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 444 · 40 questions
TalentJR

The method (Let it be x): Let x be the thing asked for. Write the other amounts using x. Turn the story into one equation. Open brackets, collect x on one side and numbers on the other, then divide. Check: put x back into the story.

NameDateTime takenScore ___ / 40
  1. 1.Solve for x: 5(x + 9) = 3x + 85. What is x?
  2. 2.Solve for x: 5(x + 8) = 2x + 46. What is x?
  3. 3.I think of a number, multiply it by 4 and then take away 29. The answer is 51. What is my number?
  4. 4.Solve for x: 6(x + 5) = 4x + 32. What is x?
  5. 5.10 × ? + 30 = 120
  6. 6.A pen costs ₹4 more than a pencil. 2 pens and 2 pencils cost ₹56 in all. What does one pencil cost (in ₹)?
  7. 7.6 × ? − 3 = 63
  8. 8.A pen costs ₹14 more than a pencil. 6 pens and 5 pencils cost ₹282 in all. What does one pencil cost (in ₹)?
  9. 9.Aditya has 14 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  10. 10.A pen costs ₹9 more than a pencil. 6 pens and 3 pencils cost ₹225 in all. What does one pencil cost (in ₹)?
  11. 11.A pen costs ₹11 more than a pencil. 2 pens and 6 pencils cost ₹182 in all. What does one pencil cost (in ₹)?
  12. 12.A pen costs ₹14 more than a pencil. 5 pens and 6 pencils cost ₹103 in all. What does one pencil cost (in ₹)?
  13. 13.A pen costs ₹5 more than a pencil. 6 pens and 2 pencils cost ₹118 in all. What does one pencil cost (in ₹)?
  14. 14.The length of a rectangle is 14 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  15. 15.8 × ? + 17 = 57
  16. 16.12 × ? + 4 = 136
  17. 17.10 × ? − 11 = 109
  18. 18.I think of a number, multiply it by 8 and then take away 7. The answer is 81. What is my number?
  19. 19.Solve for x: 8(x + 1) = 4x + 12. What is x?
  20. 20.7 × ? + 30 = 93
  21. 21.Solve for x: 9(x + 8) = 4x + 87. What is x?
  22. 22.The length of a rectangle is 15 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  23. 23.The length of a rectangle is 9 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  24. 24.4 × ? + 7 = 75
  25. 25.Solve for x: 4(x + 2) = x + 41. What is x?
  26. 26.I think of a number, multiply it by 7 and then take away 24. The answer is 67. What is my number?
  27. 27.Solve for x: 9(x + 3) = 7x + 39. What is x?
  28. 28.I think of a number, multiply it by 7 and then take away 8. The answer is 181. What is my number?
  29. 29.The length of a rectangle is 13 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  30. 30.A pen costs ₹6 more than a pencil. 2 pens and 5 pencils cost ₹89 in all. What does one pencil cost (in ₹)?
  31. 31.A pen costs ₹4 more than a pencil. 6 pens and 4 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  32. 32.I think of a number, multiply it by 4 and then add 9. The answer is 93. What is my number?
  33. 33.A pen costs ₹4 more than a pencil. 6 pens and 8 pencils cost ₹234 in all. What does one pencil cost (in ₹)?
  34. 34.Solve for x: 4(x + 5) = x + 74. What is x?
  35. 35.I think of a number, multiply it by 4 and then add 13. The answer is 133. What is my number?
  36. 36.12 × ? + 9 = 225
  37. 37.Solve for x: 7(x + 1) = x + 13. What is x?
  38. 38.The length of a rectangle is 15 m more than its breadth. Its perimeter is 138 m. What is its breadth (in m)?
  39. 39.A pen costs ₹14 more than a pencil. 2 pens and 4 pencils cost ₹70 in all. What does one pencil cost (in ₹)?
  40. 40.Solve for x: 4(x + 2) = x + 38. What is x?

Answer key

  1. 20
  2. 2
  3. 20
  4. 1
  5. 9
  6. 12
  7. 11
  8. 18
  9. 5
  10. 19
  11. 20
  12. 3
  13. 11
  14. 16
  15. 5
  16. 11
  17. 12
  18. 11
  19. 1
  20. 9
  21. 3
  22. 20
  23. 8
  24. 17
  25. 11
  26. 13
  27. 6
  28. 27
  29. 22
  30. 11
  31. 9
  32. 21
  33. 15
  34. 18
  35. 30
  36. 18
  37. 1
  38. 27
  39. 7
  40. 10

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