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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 962 · 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 5 and then add 1. The answer is 66. What is my number?
  2. 2.10 × ? − 2 = 48
  3. 3.I think of a number, multiply it by 5 and then add 13. The answer is 58. What is my number?
  4. 4.Solve for x: 3(x + 3) = x + 27. What is x?
  5. 5.The length of a rectangle is 12 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  6. 6.Farhan has 26 coins, all ₹5 and ₹2 coins, worth ₹88 in all. How many ₹5 coins are there?
  7. 7.Solve for x: 8(x + 7) = 4x + 80. What is x?
  8. 8.Manav has 29 coins, all ₹5 and ₹2 coins, worth ₹136 in all. How many ₹5 coins are there?
  9. 9.Solve for x: 6(x + 4) = x + 54. What is x?
  10. 10.Solve for x: 5(x + 4) = 3x + 30. What is x?
  11. 11.A pen costs ₹15 more than a pencil. 4 pens and 6 pencils cost ₹260 in all. What does one pencil cost (in ₹)?
  12. 12.The length of a rectangle is 10 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  13. 13.The length of a rectangle is 12 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  14. 14.Solve for x: 9(x + 3) = x + 75. What is x?
  15. 15.A pen costs ₹10 more than a pencil. 2 pens and 2 pencils cost ₹32 in all. What does one pencil cost (in ₹)?
  16. 16.I think of a number, multiply it by 9 and then take away 7. The answer is 191. What is my number?
  17. 17.I think of a number, multiply it by 4 and then add 1. The answer is 13. What is my number?
  18. 18.Diya has 13 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  19. 19.11 × ? + 9 = 75
  20. 20.5 × ? − 10 = 110
  21. 21.The length of a rectangle is 2 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  22. 22.8 × ? + 15 = 111
  23. 23.7 × ? − 7 = 70
  24. 24.The length of a rectangle is 15 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  25. 25.10 × ? − 8 = 32
  26. 26.The length of a rectangle is 9 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  27. 27.Solve for x: 4(x + 8) = x + 38. What is x?
  28. 28.Solve for x: 5(x + 6) = 3x + 50. What is x?
  29. 29.Sneha has 13 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  30. 30.Solve for x: 8(x + 8) = 7x + 67. What is x?
  31. 31.I think of a number, multiply it by 6 and then add 22. The answer is 112. What is my number?
  32. 32.5 × ? + 25 = 135
  33. 33.Solve for x: 8(x + 4) = 3x + 117. What is x?
  34. 34.Solve for x: 5(x + 7) = 2x + 41. What is x?
  35. 35.A pen costs ₹15 more than a pencil. 2 pens and 8 pencils cost ₹230 in all. What does one pencil cost (in ₹)?
  36. 36.5 × ? + 24 = 44
  37. 37.A pen costs ₹8 more than a pencil. 5 pens and 8 pencils cost ₹157 in all. What does one pencil cost (in ₹)?
  38. 38.Dev has 29 coins, all ₹5 and ₹2 coins, worth ₹133 in all. How many ₹5 coins are there?
  39. 39.Solve for x: 6(x + 8) = 4x + 70. What is x?
  40. 40.The length of a rectangle is 2 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?

Answer key

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

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