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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 290 · 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: 4(x + 4) = x + 25. What is x?
  2. 2.The length of a rectangle is 11 m more than its breadth. Its perimeter is 142 m. What is its breadth (in m)?
  3. 3.5 × ? − 30 = 50
  4. 4.9 × ? − 3 = 87
  5. 5.I think of a number, multiply it by 6 and then take away 32. The answer is 58. What is my number?
  6. 6.I think of a number, multiply it by 8 and then add 25. The answer is 209. What is my number?
  7. 7.I think of a number, multiply it by 3 and then add 37. The answer is 82. What is my number?
  8. 8.A pen costs ₹3 more than a pencil. 3 pens and 5 pencils cost ₹49 in all. What does one pencil cost (in ₹)?
  9. 9.I think of a number, multiply it by 6 and then take away 20. The answer is 46. What is my number?
  10. 10.Solve for x: 8(x + 4) = 5x + 62. What is x?
  11. 11.I think of a number, multiply it by 2 and then add 5. The answer is 53. What is my number?
  12. 12.Solve for x: 8(x + 3) = x + 31. What is x?
  13. 13.The length of a rectangle is 12 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  14. 14.A pen costs ₹2 more than a pencil. 3 pens and 2 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  15. 15.The length of a rectangle is 14 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  16. 16.The length of a rectangle is 2 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  17. 17.Solve for x: 5(x + 5) = x + 73. What is x?
  18. 18.I think of a number, multiply it by 2 and then take away 6. The answer is 6. What is my number?
  19. 19.12 × ? − 29 = 31
  20. 20.5 × ? − 22 = 23
  21. 21.4 × ? + 14 = 70
  22. 22.A pen costs ₹2 more than a pencil. 3 pens and 2 pencils cost ₹31 in all. What does one pencil cost (in ₹)?
  23. 23.A pen costs ₹3 more than a pencil. 2 pens and 4 pencils cost ₹30 in all. What does one pencil cost (in ₹)?
  24. 24.Solve for x: 5(x + 1) = 3x + 9. What is x?
  25. 25.The length of a rectangle is 15 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  26. 26.Solve for x: 7(x + 7) = x + 145. What is x?
  27. 27.I think of a number, multiply it by 9 and then add 11. The answer is 128. What is my number?
  28. 28.Manav has 20 coins, all ₹5 and ₹2 coins, worth ₹76 in all. How many ₹5 coins are there?
  29. 29.Rohan has 20 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  30. 30.The length of a rectangle is 7 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  31. 31.I think of a number, multiply it by 7 and then add 21. The answer is 77. What is my number?
  32. 32.A pen costs ₹11 more than a pencil. 2 pens and 7 pencils cost ₹130 in all. What does one pencil cost (in ₹)?
  33. 33.11 × ? − 25 = 41
  34. 34.I think of a number, multiply it by 8 and then add 18. The answer is 130. What is my number?
  35. 35.The length of a rectangle is 6 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  36. 36.Diya has 21 coins, all ₹5 and ₹2 coins, worth ₹90 in all. How many ₹5 coins are there?
  37. 37.2 × ? + 16 = 30
  38. 38.A pen costs ₹15 more than a pencil. 5 pens and 5 pencils cost ₹185 in all. What does one pencil cost (in ₹)?
  39. 39.A pen costs ₹10 more than a pencil. 5 pens and 6 pencils cost ₹127 in all. What does one pencil cost (in ₹)?
  40. 40.12 × ? − 24 = 204

Answer key

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

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