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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 420 · 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 + 2) = 2x + 11. What is x?
  2. 2.I think of a number, multiply it by 8 and then add 32. The answer is 104. What is my number?
  3. 3.6 × ? − 24 = 84
  4. 4.I think of a number, multiply it by 2 and then add 1. The answer is 5. What is my number?
  5. 5.I think of a number, multiply it by 4 and then add 18. The answer is 58. What is my number?
  6. 6.Kabir has 29 coins, all ₹5 and ₹2 coins, worth ₹85 in all. How many ₹5 coins are there?
  7. 7.The length of a rectangle is 3 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  8. 8.I think of a number, multiply it by 6 and then take away 27. The answer is 99. What is my number?
  9. 9.7 × ? + 10 = 122
  10. 10.The length of a rectangle is 13 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  11. 11.5 × ? + 27 = 57
  12. 12.A pen costs ₹4 more than a pencil. 2 pens and 8 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  13. 13.Solve for x: 5(x + 1) = 3x + 7. What is x?
  14. 14.10 × ? + 30 = 250
  15. 15.6 × ? − 6 = 42
  16. 16.Pooja has 20 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  17. 17.The length of a rectangle is 14 m more than its breadth. Its perimeter is 136 m. What is its breadth (in m)?
  18. 18.I think of a number, multiply it by 8 and then take away 9. The answer is 111. What is my number?
  19. 19.Zoya has 19 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  20. 20.7 × ? − 12 = 72
  21. 21.Saanvi has 14 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  22. 22.I think of a number, multiply it by 2 and then add 37. The answer is 83. What is my number?
  23. 23.I think of a number, multiply it by 3 and then take away 29. The answer is 52. What is my number?
  24. 24.9 × ? − 19 = 170
  25. 25.6 × ? − 6 = 24
  26. 26.3 × ? − 19 = 38
  27. 27.The length of a rectangle is 10 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  28. 28.A pen costs ₹11 more than a pencil. 2 pens and 4 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  29. 29.Solve for x: 3(x + 6) = 2x + 38. What is x?
  30. 30.Solve for x: 3(x + 4) = x + 20. What is x?
  31. 31.A pen costs ₹10 more than a pencil. 6 pens and 4 pencils cost ₹250 in all. What does one pencil cost (in ₹)?
  32. 32.I think of a number, multiply it by 3 and then add 29. The answer is 50. What is my number?
  33. 33.6 × ? + 30 = 42
  34. 34.I think of a number, multiply it by 7 and then take away 5. The answer is 163. What is my number?
  35. 35.Solve for x: 4(x + 5) = 3x + 33. What is x?
  36. 36.Solve for x: 6(x + 7) = x + 127. What is x?
  37. 37.A pen costs ₹7 more than a pencil. 4 pens and 6 pencils cost ₹198 in all. What does one pencil cost (in ₹)?
  38. 38.The length of a rectangle is 6 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  39. 39.3 × ? − 18 = 57
  40. 40.9 × ? − 11 = 160

Answer key

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

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