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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 26 · 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 7 and then take away 12. The answer is 58. What is my number?
  2. 2.The length of a rectangle is 3 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  3. 3.Solve for x: 4(x + 3) = x + 15. What is x?
  4. 4.Solve for x: 9(x + 3) = 4x + 62. What is x?
  5. 5.7 × ? + 10 = 45
  6. 6.Solve for x: 5(x + 6) = 2x + 78. What is x?
  7. 7.A pen costs ₹11 more than a pencil. 2 pens and 8 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  8. 8.Diya has 28 coins, all ₹5 and ₹2 coins, worth ₹71 in all. How many ₹5 coins are there?
  9. 9.12 × ? + 24 = 228
  10. 10.Solve for x: 8(x + 8) = x + 162. What is x?
  11. 11.Solve for x: 3(x + 7) = x + 43. What is x?
  12. 12.11 × ? + 23 = 199
  13. 13.I think of a number, multiply it by 3 and then take away 22. The answer is 50. What is my number?
  14. 14.A pen costs ₹2 more than a pencil. 3 pens and 3 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  15. 15.A pen costs ₹11 more than a pencil. 2 pens and 2 pencils cost ₹94 in all. What does one pencil cost (in ₹)?
  16. 16.A pen costs ₹13 more than a pencil. 6 pens and 8 pencils cost ₹344 in all. What does one pencil cost (in ₹)?
  17. 17.A pen costs ₹13 more than a pencil. 3 pens and 2 pencils cost ₹69 in all. What does one pencil cost (in ₹)?
  18. 18.Aditya has 13 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  19. 19.Meera has 11 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  20. 20.The length of a rectangle is 11 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  21. 21.A pen costs ₹15 more than a pencil. 2 pens and 2 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  22. 22.Kabir has 27 coins, all ₹5 and ₹2 coins, worth ₹99 in all. How many ₹5 coins are there?
  23. 23.I think of a number, multiply it by 4 and then add 19. The answer is 67. What is my number?
  24. 24.A pen costs ₹12 more than a pencil. 2 pens and 3 pencils cost ₹69 in all. What does one pencil cost (in ₹)?
  25. 25.I think of a number, multiply it by 6 and then take away 21. The answer is 111. What is my number?
  26. 26.Farhan has 10 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  27. 27.4 × ? − 7 = 93
  28. 28.The length of a rectangle is 15 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  29. 29.The length of a rectangle is 4 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  30. 30.12 × ? + 22 = 46
  31. 31.Solve for x: 3(x + 7) = 2x + 27. What is x?
  32. 32.Aarav has 15 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  33. 33.The length of a rectangle is 4 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  34. 34.A pen costs ₹2 more than a pencil. 6 pens and 8 pencils cost ₹124 in all. What does one pencil cost (in ₹)?
  35. 35.Diya has 19 coins, all ₹5 and ₹2 coins, worth ₹71 in all. How many ₹5 coins are there?
  36. 36.A pen costs ₹2 more than a pencil. 4 pens and 3 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  37. 37.A pen costs ₹5 more than a pencil. 3 pens and 6 pencils cost ₹177 in all. What does one pencil cost (in ₹)?
  38. 38.A pen costs ₹10 more than a pencil. 5 pens and 6 pencils cost ₹182 in all. What does one pencil cost (in ₹)?
  39. 39.Solve for x: 4(x + 8) = 2x + 40. What is x?
  40. 40.6 × ? + 25 = 139

Answer key

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

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