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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 591 · 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. 1.11 × ? + 7 = 282
  2. 2.The length of a rectangle is 5 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  3. 3.Solve for x: 9(x + 5) = x + 181. What is x?
  4. 4.A pen costs ₹14 more than a pencil. 2 pens and 4 pencils cost ₹64 in all. What does one pencil cost (in ₹)?
  5. 5.9 × ? + 21 = 39
  6. 6.I think of a number, multiply it by 3 and then add 22. The answer is 49. What is my number?
  7. 7.The length of a rectangle is 3 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  8. 8.A pen costs ₹4 more than a pencil. 3 pens and 3 pencils cost ₹30 in all. What does one pencil cost (in ₹)?
  9. 9.Solve for x: 4(x + 3) = 2x + 52. What is x?
  10. 10.The length of a rectangle is 3 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  11. 11.12 × ? + 7 = 43
  12. 12.Rohan has 30 coins, all ₹5 and ₹2 coins, worth ₹135 in all. How many ₹5 coins are there?
  13. 13.The length of a rectangle is 12 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  14. 14.Solve for x: 9(x + 1) = 3x + 75. What is x?
  15. 15.A pen costs ₹3 more than a pencil. 3 pens and 5 pencils cost ₹49 in all. What does one pencil cost (in ₹)?
  16. 16.A pen costs ₹14 more than a pencil. 6 pens and 6 pencils cost ₹264 in all. What does one pencil cost (in ₹)?
  17. 17.I think of a number, multiply it by 8 and then add 9. The answer is 185. What is my number?
  18. 18.4 × ? + 24 = 124
  19. 19.The length of a rectangle is 7 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  20. 20.A pen costs ₹11 more than a pencil. 2 pens and 4 pencils cost ₹52 in all. What does one pencil cost (in ₹)?
  21. 21.Karan has 13 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  22. 22.The length of a rectangle is 3 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  23. 23.A pen costs ₹14 more than a pencil. 6 pens and 2 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  24. 24.Ananya has 21 coins, all ₹5 and ₹2 coins, worth ₹90 in all. How many ₹5 coins are there?
  25. 25.Solve for x: 4(x + 2) = 2x + 40. What is x?
  26. 26.I think of a number, multiply it by 4 and then add 11. The answer is 123. What is my number?
  27. 27.Farhan has 16 coins, all ₹5 and ₹2 coins, worth ₹74 in all. How many ₹5 coins are there?
  28. 28.3 × ? + 15 = 21
  29. 29.12 × ? − 14 = 82
  30. 30.Aarav has 21 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  31. 31.I think of a number, multiply it by 2 and then take away 4. The answer is 12. What is my number?
  32. 32.Solve for x: 8(x + 5) = 6x + 66. What is x?
  33. 33.I think of a number, multiply it by 6 and then add 13. The answer is 91. What is my number?
  34. 34.A pen costs ₹10 more than a pencil. 6 pens and 8 pencils cost ₹256 in all. What does one pencil cost (in ₹)?
  35. 35.Ananya has 21 coins, all ₹5 and ₹2 coins, worth ₹75 in all. How many ₹5 coins are there?
  36. 36.2 × ? + 19 = 25
  37. 37.Rohan has 18 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  38. 38.I think of a number, multiply it by 7 and then add 25. The answer is 95. What is my number?
  39. 39.Arjun has 13 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  40. 40.I think of a number, multiply it by 3 and then add 1. The answer is 37. What is my number?

Answer key

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

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