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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 358 · 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.I think of a number, multiply it by 6 and then take away 35. The answer is 139. What is my number?
  2. 2.I think of a number, multiply it by 9 and then add 23. The answer is 41. What is my number?
  3. 3.A pen costs ₹10 more than a pencil. 2 pens and 7 pencils cost ₹155 in all. What does one pencil cost (in ₹)?
  4. 4.I think of a number, multiply it by 8 and then take away 17. The answer is 167. What is my number?
  5. 5.The length of a rectangle is 9 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  6. 6.The length of a rectangle is 7 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  7. 7.Solve for x: 7(x + 5) = 2x + 75. What is x?
  8. 8.7 × ? − 11 = 94
  9. 9.A pen costs ₹15 more than a pencil. 3 pens and 8 pencils cost ₹232 in all. What does one pencil cost (in ₹)?
  10. 10.Solve for x: 8(x + 4) = 4x + 64. What is x?
  11. 11.A pen costs ₹14 more than a pencil. 5 pens and 3 pencils cost ₹94 in all. What does one pencil cost (in ₹)?
  12. 12.I think of a number, multiply it by 4 and then add 3. The answer is 23. What is my number?
  13. 13.A pen costs ₹13 more than a pencil. 4 pens and 4 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  14. 14.12 × ? − 8 = 28
  15. 15.The length of a rectangle is 7 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  16. 16.4 × ? − 25 = 27
  17. 17.A pen costs ₹12 more than a pencil. 2 pens and 7 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  18. 18.I think of a number, multiply it by 4 and then add 16. The answer is 108. What is my number?
  19. 19.10 × ? − 29 = 121
  20. 20.The length of a rectangle is 7 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  21. 21.The length of a rectangle is 15 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  22. 22.6 × ? − 12 = 6
  23. 23.8 × ? − 18 = 30
  24. 24.A pen costs ₹8 more than a pencil. 4 pens and 6 pencils cost ₹82 in all. What does one pencil cost (in ₹)?
  25. 25.11 × ? + 30 = 272
  26. 26.A pen costs ₹10 more than a pencil. 2 pens and 7 pencils cost ₹110 in all. What does one pencil cost (in ₹)?
  27. 27.I think of a number, multiply it by 4 and then take away 7. The answer is 13. What is my number?
  28. 28.A pen costs ₹8 more than a pencil. 6 pens and 2 pencils cost ₹168 in all. What does one pencil cost (in ₹)?
  29. 29.I think of a number, multiply it by 6 and then add 27. The answer is 147. What is my number?
  30. 30.A pen costs ₹4 more than a pencil. 4 pens and 6 pencils cost ₹166 in all. What does one pencil cost (in ₹)?
  31. 31.The length of a rectangle is 3 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  32. 32.6 × ? − 30 = 36
  33. 33.The length of a rectangle is 5 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  34. 34.I think of a number, multiply it by 2 and then take away 1. The answer is 51. What is my number?
  35. 35.The length of a rectangle is 3 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  36. 36.The length of a rectangle is 13 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  37. 37.5 × ? − 21 = 4
  38. 38.Solve for x: 8(x + 2) = 3x + 101. What is x?
  39. 39.A pen costs ₹3 more than a pencil. 2 pens and 2 pencils cost ₹74 in all. What does one pencil cost (in ₹)?
  40. 40.A pen costs ₹11 more than a pencil. 5 pens and 7 pencils cost ₹139 in all. What does one pencil cost (in ₹)?

Answer key

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

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