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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 813 · 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 7 and then take away 3. The answer is 165. What is my number?
  2. 2.12 × ? + 25 = 85
  3. 3.The length of a rectangle is 9 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  4. 4.I think of a number, multiply it by 7 and then add 24. The answer is 66. What is my number?
  5. 5.Solve for x: 6(x + 8) = 2x + 104. What is x?
  6. 6.8 × ? + 17 = 105
  7. 7.I think of a number, multiply it by 5 and then add 29. The answer is 139. What is my number?
  8. 8.I think of a number, multiply it by 7 and then take away 8. The answer is 97. What is my number?
  9. 9.7 × ? + 15 = 106
  10. 10.Nisha has 12 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  11. 11.2 × ? − 22 = 4
  12. 12.9 × ? + 1 = 109
  13. 13.I think of a number, multiply it by 8 and then add 23. The answer is 151. What is my number?
  14. 14.I think of a number, multiply it by 8 and then take away 24. The answer is 56. What is my number?
  15. 15.A pen costs ₹10 more than a pencil. 5 pens and 3 pencils cost ₹178 in all. What does one pencil cost (in ₹)?
  16. 16.I think of a number, multiply it by 5 and then take away 2. The answer is 93. What is my number?
  17. 17.I think of a number, multiply it by 3 and then add 22. The answer is 91. What is my number?
  18. 18.10 × ? + 19 = 219
  19. 19.Solve for x: 6(x + 6) = 4x + 68. What is x?
  20. 20.I think of a number, multiply it by 5 and then add 17. The answer is 112. What is my number?
  21. 21.I think of a number, multiply it by 4 and then take away 27. The answer is 21. What is my number?
  22. 22.I think of a number, multiply it by 5 and then add 24. The answer is 129. What is my number?
  23. 23.11 × ? + 20 = 86
  24. 24.I think of a number, multiply it by 3 and then add 18. The answer is 93. What is my number?
  25. 25.Isha has 15 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  26. 26.4 × ? + 6 = 94
  27. 27.The length of a rectangle is 5 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  28. 28.A pen costs ₹8 more than a pencil. 6 pens and 8 pencils cost ₹258 in all. What does one pencil cost (in ₹)?
  29. 29.Manav has 16 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  30. 30.The length of a rectangle is 8 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  31. 31.4 × ? + 11 = 103
  32. 32.11 × ? + 24 = 145
  33. 33.A pen costs ₹3 more than a pencil. 4 pens and 2 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  34. 34.The length of a rectangle is 14 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  35. 35.The length of a rectangle is 12 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  36. 36.Zoya has 26 coins, all ₹5 and ₹2 coins, worth ₹73 in all. How many ₹5 coins are there?
  37. 37.I think of a number, multiply it by 8 and then add 31. The answer is 247. What is my number?
  38. 38.8 × ? − 1 = 111
  39. 39.I think of a number, multiply it by 3 and then add 30. The answer is 72. What is my number?
  40. 40.A pen costs ₹3 more than a pencil. 4 pens and 2 pencils cost ₹132 in all. What does one pencil cost (in ₹)?

Answer key

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

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