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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 823 · 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 8 and then take away 27. The answer is 29. What is my number?
  2. 2.A pen costs ₹4 more than a pencil. 2 pens and 7 pencils cost ₹179 in all. What does one pencil cost (in ₹)?
  3. 3.Rohan has 30 coins, all ₹5 and ₹2 coins, worth ₹138 in all. How many ₹5 coins are there?
  4. 4.7 × ? + 24 = 171
  5. 5.The length of a rectangle is 12 m more than its breadth. Its perimeter is 144 m. What is its breadth (in m)?
  6. 6.4 × ? + 5 = 57
  7. 7.Solve for x: 6(x + 7) = 2x + 62. What is x?
  8. 8.A pen costs ₹15 more than a pencil. 4 pens and 2 pencils cost ₹180 in all. What does one pencil cost (in ₹)?
  9. 9.I think of a number, multiply it by 8 and then take away 19. The answer is 165. What is my number?
  10. 10.I think of a number, multiply it by 6 and then add 32. The answer is 170. What is my number?
  11. 11.Solve for x: 5(x + 6) = 4x + 35. What is x?
  12. 12.I think of a number, multiply it by 2 and then add 26. The answer is 32. What is my number?
  13. 13.The length of a rectangle is 13 m more than its breadth. Its perimeter is 142 m. What is its breadth (in m)?
  14. 14.Arjun has 25 coins, all ₹5 and ₹2 coins, worth ₹101 in all. How many ₹5 coins are there?
  15. 15.Farhan has 14 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  16. 16.10 × ? + 3 = 113
  17. 17.I think of a number, multiply it by 5 and then take away 3. The answer is 82. What is my number?
  18. 18.A pen costs ₹12 more than a pencil. 6 pens and 2 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  19. 19.Solve for x: 5(x + 1) = 3x + 25. What is x?
  20. 20.A pen costs ₹4 more than a pencil. 6 pens and 2 pencils cost ₹64 in all. What does one pencil cost (in ₹)?
  21. 21.A pen costs ₹5 more than a pencil. 5 pens and 3 pencils cost ₹113 in all. What does one pencil cost (in ₹)?
  22. 22.5 × ? + 16 = 41
  23. 23.2 × ? + 8 = 16
  24. 24.6 × ? + 8 = 158
  25. 25.Solve for x: 6(x + 8) = 2x + 56. What is x?
  26. 26.A pen costs ₹15 more than a pencil. 5 pens and 4 pencils cost ₹156 in all. What does one pencil cost (in ₹)?
  27. 27.12 × ? + 15 = 123
  28. 28.The length of a rectangle is 12 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  29. 29.Solve for x: 4(x + 7) = 3x + 29. What is x?
  30. 30.A pen costs ₹9 more than a pencil. 6 pens and 2 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  31. 31.I think of a number, multiply it by 5 and then take away 39. The answer is 1. What is my number?
  32. 32.3 × ? + 25 = 40
  33. 33.Solve for x: 4(x + 1) = x + 40. What is x?
  34. 34.2 × ? + 25 = 45
  35. 35.8 × ? − 10 = 190
  36. 36.Solve for x: 4(x + 3) = x + 27. What is x?
  37. 37.A pen costs ₹8 more than a pencil. 6 pens and 7 pencils cost ₹87 in all. What does one pencil cost (in ₹)?
  38. 38.Solve for x: 4(x + 9) = x + 75. What is x?
  39. 39.Solve for x: 9(x + 1) = 8x + 22. What is x?
  40. 40.The length of a rectangle is 8 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?

Answer key

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

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