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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 304 · 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.A pen costs ₹12 more than a pencil. 2 pens and 6 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  2. 2.2 × ? + 12 = 24
  3. 3.A pen costs ₹7 more than a pencil. 4 pens and 4 pencils cost ₹172 in all. What does one pencil cost (in ₹)?
  4. 4.Solve for x: 9(x + 1) = 6x + 63. What is x?
  5. 5.11 × ? + 11 = 55
  6. 6.10 × ? − 30 = 10
  7. 7.Solve for x: 7(x + 6) = 3x + 122. What is x?
  8. 8.I think of a number, multiply it by 5 and then add 11. The answer is 121. What is my number?
  9. 9.I think of a number, multiply it by 5 and then add 13. The answer is 113. What is my number?
  10. 10.Solve for x: 7(x + 2) = 2x + 39. What is x?
  11. 11.I think of a number, multiply it by 2 and then add 20. The answer is 30. What is my number?
  12. 12.I think of a number, multiply it by 4 and then take away 34. The answer is 42. What is my number?
  13. 13.The length of a rectangle is 5 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  14. 14.I think of a number, multiply it by 8 and then take away 38. The answer is 202. What is my number?
  15. 15.I think of a number, multiply it by 4 and then add 25. The answer is 121. What is my number?
  16. 16.The length of a rectangle is 13 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  17. 17.A pen costs ₹8 more than a pencil. 6 pens and 8 pencils cost ₹230 in all. What does one pencil cost (in ₹)?
  18. 18.I think of a number, multiply it by 6 and then add 13. The answer is 61. What is my number?
  19. 19.I think of a number, multiply it by 8 and then take away 18. The answer is 14. What is my number?
  20. 20.The length of a rectangle is 15 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  21. 21.A pen costs ₹5 more than a pencil. 6 pens and 6 pencils cost ₹66 in all. What does one pencil cost (in ₹)?
  22. 22.5 × ? + 25 = 40
  23. 23.I think of a number, multiply it by 3 and then take away 6. The answer is 36. What is my number?
  24. 24.5 × ? + 12 = 92
  25. 25.The length of a rectangle is 7 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  26. 26.Meera has 15 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  27. 27.5 × ? − 22 = 83
  28. 28.A pen costs ₹4 more than a pencil. 2 pens and 4 pencils cost ₹128 in all. What does one pencil cost (in ₹)?
  29. 29.I think of a number, multiply it by 7 and then take away 15. The answer is 195. What is my number?
  30. 30.A pen costs ₹14 more than a pencil. 3 pens and 6 pencils cost ₹168 in all. What does one pencil cost (in ₹)?
  31. 31.Solve for x: 5(x + 6) = 2x + 39. What is x?
  32. 32.A pen costs ₹9 more than a pencil. 5 pens and 6 pencils cost ₹122 in all. What does one pencil cost (in ₹)?
  33. 33.I think of a number, multiply it by 5 and then add 28. The answer is 43. What is my number?
  34. 34.4 × ? − 23 = 49
  35. 35.A pen costs ₹13 more than a pencil. 6 pens and 8 pencils cost ₹316 in all. What does one pencil cost (in ₹)?
  36. 36.Solve for x: 9(x + 8) = 8x + 80. What is x?
  37. 37.Solve for x: 6(x + 4) = 2x + 32. What is x?
  38. 38.5 × ? − 26 = 99
  39. 39.Solve for x: 5(x + 5) = x + 53. What is x?
  40. 40.The length of a rectangle is 15 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?

Answer key

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

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