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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 893 · 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. 1.10 × ? + 18 = 38
  2. 2.Aditya has 14 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  3. 3.I think of a number, multiply it by 6 and then add 10. The answer is 160. What is my number?
  4. 4.I think of a number, multiply it by 4 and then add 30. The answer is 150. What is my number?
  5. 5.The length of a rectangle is 6 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  6. 6.I think of a number, multiply it by 7 and then take away 8. The answer is 27. What is my number?
  7. 7.A pen costs ₹3 more than a pencil. 2 pens and 2 pencils cost ₹66 in all. What does one pencil cost (in ₹)?
  8. 8.Meera has 17 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  9. 9.The length of a rectangle is 11 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  10. 10.Solve for x: 6(x + 4) = 4x + 50. What is x?
  11. 11.A pen costs ₹14 more than a pencil. 5 pens and 3 pencils cost ₹222 in all. What does one pencil cost (in ₹)?
  12. 12.A pen costs ₹15 more than a pencil. 4 pens and 2 pencils cost ₹180 in all. What does one pencil cost (in ₹)?
  13. 13.2 × ? + 21 = 39
  14. 14.A pen costs ₹7 more than a pencil. 3 pens and 6 pencils cost ₹156 in all. What does one pencil cost (in ₹)?
  15. 15.Solve for x: 4(x + 5) = 2x + 56. What is x?
  16. 16.I think of a number, multiply it by 6 and then add 30. The answer is 48. What is my number?
  17. 17.The length of a rectangle is 10 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  18. 18.Solve for x: 5(x + 4) = 4x + 27. What is x?
  19. 19.A pen costs ₹10 more than a pencil. 5 pens and 7 pencils cost ₹230 in all. What does one pencil cost (in ₹)?
  20. 20.8 × ? − 22 = 50
  21. 21.A pen costs ₹6 more than a pencil. 2 pens and 7 pencils cost ₹192 in all. What does one pencil cost (in ₹)?
  22. 22.The length of a rectangle is 13 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  23. 23.A pen costs ₹8 more than a pencil. 3 pens and 3 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  24. 24.Diya has 24 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?
  25. 25.Solve for x: 4(x + 7) = 2x + 42. What is x?
  26. 26.10 × ? + 29 = 119
  27. 27.I think of a number, multiply it by 8 and then take away 1. The answer is 111. What is my number?
  28. 28.A pen costs ₹5 more than a pencil. 5 pens and 3 pencils cost ₹97 in all. What does one pencil cost (in ₹)?
  29. 29.Solve for x: 3(x + 2) = 2x + 18. What is x?
  30. 30.Solve for x: 7(x + 8) = 6x + 65. What is x?
  31. 31.A pen costs ₹4 more than a pencil. 3 pens and 2 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
  32. 32.Solve for x: 3(x + 9) = 2x + 38. What is x?
  33. 33.Solve for x: 6(x + 4) = 4x + 48. What is x?
  34. 34.I think of a number, multiply it by 9 and then add 16. The answer is 178. What is my number?
  35. 35.The length of a rectangle is 5 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  36. 36.Solve for x: 8(x + 2) = 5x + 37. What is x?
  37. 37.A pen costs ₹8 more than a pencil. 4 pens and 3 pencils cost ₹151 in all. What does one pencil cost (in ₹)?
  38. 38.10 × ? − 13 = 197
  39. 39.I think of a number, multiply it by 7 and then add 6. The answer is 55. What is my number?
  40. 40.11 × ? + 3 = 190

Answer key

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

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