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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 104 · 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: 3(x + 3) = x + 13. What is x?
  2. 2.7 × ? − 9 = 12
  3. 3.I think of a number, multiply it by 3 and then add 26. The answer is 68. What is my number?
  4. 4.I think of a number, multiply it by 9 and then add 4. The answer is 49. What is my number?
  5. 5.2 × ? + 2 = 42
  6. 6.A pen costs ₹7 more than a pencil. 3 pens and 2 pencils cost ₹41 in all. What does one pencil cost (in ₹)?
  7. 7.I think of a number, multiply it by 7 and then take away 6. The answer is 78. What is my number?
  8. 8.Solve for x: 7(x + 2) = 5x + 46. What is x?
  9. 9.Arjun has 12 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  10. 10.A pen costs ₹2 more than a pencil. 6 pens and 7 pencils cost ₹64 in all. What does one pencil cost (in ₹)?
  11. 11.A pen costs ₹3 more than a pencil. 6 pens and 5 pencils cost ₹150 in all. What does one pencil cost (in ₹)?
  12. 12.I think of a number, multiply it by 7 and then take away 32. The answer is 73. What is my number?
  13. 13.The length of a rectangle is 11 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  14. 14.I think of a number, multiply it by 4 and then take away 20. The answer is 92. What is my number?
  15. 15.Dev has 25 coins, all ₹5 and ₹2 coins, worth ₹116 in all. How many ₹5 coins are there?
  16. 16.Solve for x: 5(x + 2) = 3x + 44. What is x?
  17. 17.A pen costs ₹13 more than a pencil. 4 pens and 5 pencils cost ₹187 in all. What does one pencil cost (in ₹)?
  18. 18.A pen costs ₹4 more than a pencil. 6 pens and 8 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  19. 19.A pen costs ₹15 more than a pencil. 4 pens and 7 pencils cost ₹137 in all. What does one pencil cost (in ₹)?
  20. 20.A pen costs ₹4 more than a pencil. 6 pens and 4 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  21. 21.7 × ? − 19 = 30
  22. 22.The length of a rectangle is 4 m more than its breadth. Its perimeter is 20 m. What is its breadth (in m)?
  23. 23.11 × ? − 15 = 7
  24. 24.5 × ? + 12 = 137
  25. 25.I think of a number, multiply it by 9 and then add 1. The answer is 73. What is my number?
  26. 26.The length of a rectangle is 9 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  27. 27.A pen costs ₹13 more than a pencil. 5 pens and 5 pencils cost ₹245 in all. What does one pencil cost (in ₹)?
  28. 28.I think of a number, multiply it by 8 and then add 3. The answer is 187. What is my number?
  29. 29.A pen costs ₹5 more than a pencil. 4 pens and 5 pencils cost ₹137 in all. What does one pencil cost (in ₹)?
  30. 30.I think of a number, multiply it by 8 and then take away 24. The answer is 8. What is my number?
  31. 31.The length of a rectangle is 10 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  32. 32.8 × ? − 12 = 108
  33. 33.9 × ? − 9 = 90
  34. 34.4 × ? − 9 = 35
  35. 35.A pen costs ₹2 more than a pencil. 6 pens and 7 pencils cost ₹272 in all. What does one pencil cost (in ₹)?
  36. 36.Kabir has 10 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  37. 37.I think of a number, multiply it by 5 and then add 1. The answer is 71. What is my number?
  38. 38.3 × ? + 30 = 39
  39. 39.Meera has 15 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  40. 40.Dev has 28 coins, all ₹5 and ₹2 coins, worth ₹113 in all. How many ₹5 coins are there?

Answer key

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

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