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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 840 · 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 30. The answer is 90. What is my number?
  2. 2.5 × ? + 3 = 43
  3. 3.11 × ? + 12 = 122
  4. 4.Solve for x: 3(x + 5) = x + 55. What is x?
  5. 5.A pen costs ₹11 more than a pencil. 2 pens and 4 pencils cost ₹46 in all. What does one pencil cost (in ₹)?
  6. 6.Arjun has 9 coins, all ₹5 and ₹2 coins, worth ₹24 in all. How many ₹5 coins are there?
  7. 7.I think of a number, multiply it by 3 and then add 27. The answer is 93. What is my number?
  8. 8.I think of a number, multiply it by 8 and then take away 40. The answer is 200. What is my number?
  9. 9.9 × ? − 9 = 36
  10. 10.A pen costs ₹6 more than a pencil. 3 pens and 2 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  11. 11.Solve for x: 6(x + 6) = 2x + 96. What is x?
  12. 12.I think of a number, multiply it by 7 and then add 37. The answer is 142. What is my number?
  13. 13.A pen costs ₹7 more than a pencil. 4 pens and 6 pencils cost ₹118 in all. What does one pencil cost (in ₹)?
  14. 14.I think of a number, multiply it by 5 and then take away 10. The answer is 65. What is my number?
  15. 15.7 × ? − 2 = 33
  16. 16.A pen costs ₹8 more than a pencil. 4 pens and 2 pencils cost ₹134 in all. What does one pencil cost (in ₹)?
  17. 17.I think of a number, multiply it by 5 and then take away 4. The answer is 56. What is my number?
  18. 18.12 × ? + 15 = 99
  19. 19.2 × ? − 14 = 4
  20. 20.The length of a rectangle is 4 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  21. 21.A pen costs ₹3 more than a pencil. 5 pens and 6 pencils cost ₹158 in all. What does one pencil cost (in ₹)?
  22. 22.5 × ? − 13 = 87
  23. 23.The length of a rectangle is 5 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  24. 24.11 × ? − 10 = 144
  25. 25.4 × ? − 2 = 74
  26. 26.7 × ? + 23 = 93
  27. 27.Solve for x: 7(x + 4) = 3x + 48. What is x?
  28. 28.The length of a rectangle is 15 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  29. 29.The length of a rectangle is 13 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  30. 30.9 × ? + 6 = 51
  31. 31.I think of a number, multiply it by 4 and then add 15. The answer is 35. What is my number?
  32. 32.A pen costs ₹12 more than a pencil. 2 pens and 5 pencils cost ₹94 in all. What does one pencil cost (in ₹)?
  33. 33.The length of a rectangle is 12 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  34. 34.I think of a number, multiply it by 6 and then add 34. The answer is 118. What is my number?
  35. 35.Solve for x: 5(x + 9) = 4x + 57. What is x?
  36. 36.The length of a rectangle is 11 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  37. 37.The length of a rectangle is 8 m more than its breadth. Its perimeter is 132 m. What is its breadth (in m)?
  38. 38.I think of a number, multiply it by 7 and then take away 15. The answer is 48. What is my number?
  39. 39.I think of a number, multiply it by 5 and then take away 3. The answer is 142. What is my number?
  40. 40.3 × ? + 18 = 81

Answer key

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

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