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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 885 · 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 take away 1. The answer is 89. What is my number?
  2. 2.I think of a number, multiply it by 6 and then add 8. The answer is 80. What is my number?
  3. 3.I think of a number, multiply it by 7 and then take away 11. The answer is 59. What is my number?
  4. 4.10 × ? + 6 = 206
  5. 5.Solve for x: 4(x + 2) = 3x + 21. What is x?
  6. 6.A pen costs ₹9 more than a pencil. 6 pens and 4 pencils cost ₹104 in all. What does one pencil cost (in ₹)?
  7. 7.The length of a rectangle is 4 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  8. 8.Solve for x: 8(x + 5) = 7x + 56. What is x?
  9. 9.Solve for x: 5(x + 8) = x + 44. What is x?
  10. 10.A pen costs ₹4 more than a pencil. 3 pens and 6 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  11. 11.A pen costs ₹4 more than a pencil. 5 pens and 3 pencils cost ₹44 in all. What does one pencil cost (in ₹)?
  12. 12.4 × ? + 13 = 41
  13. 13.The length of a rectangle is 12 m more than its breadth. Its perimeter is 144 m. What is its breadth (in m)?
  14. 14.Kabir has 10 coins, all ₹5 and ₹2 coins, worth ₹26 in all. How many ₹5 coins are there?
  15. 15.A pen costs ₹6 more than a pencil. 6 pens and 8 pencils cost ₹190 in all. What does one pencil cost (in ₹)?
  16. 16.A pen costs ₹5 more than a pencil. 4 pens and 8 pencils cost ₹248 in all. What does one pencil cost (in ₹)?
  17. 17.A pen costs ₹12 more than a pencil. 2 pens and 4 pencils cost ₹48 in all. What does one pencil cost (in ₹)?
  18. 18.A pen costs ₹5 more than a pencil. 6 pens and 5 pencils cost ₹118 in all. What does one pencil cost (in ₹)?
  19. 19.Solve for x: 8(x + 4) = 2x + 104. What is x?
  20. 20.Solve for x: 3(x + 3) = x + 37. What is x?
  21. 21.A pen costs ₹15 more than a pencil. 4 pens and 3 pencils cost ₹165 in all. What does one pencil cost (in ₹)?
  22. 22.I think of a number, multiply it by 9 and then add 5. The answer is 104. What is my number?
  23. 23.Solve for x: 3(x + 6) = x + 56. What is x?
  24. 24.The length of a rectangle is 6 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  25. 25.Solve for x: 6(x + 1) = x + 16. What is x?
  26. 26.I think of a number, multiply it by 2 and then add 1. The answer is 35. What is my number?
  27. 27.Solve for x: 3(x + 8) = 2x + 42. What is x?
  28. 28.A pen costs ₹12 more than a pencil. 6 pens and 8 pencils cost ₹128 in all. What does one pencil cost (in ₹)?
  29. 29.I think of a number, multiply it by 5 and then add 21. The answer is 66. What is my number?
  30. 30.A pen costs ₹3 more than a pencil. 2 pens and 3 pencils cost ₹21 in all. What does one pencil cost (in ₹)?
  31. 31.2 × ? + 7 = 31
  32. 32.I think of a number, multiply it by 2 and then take away 38. The answer is 18. What is my number?
  33. 33.Priya has 10 coins, all ₹5 and ₹2 coins, worth ₹29 in all. How many ₹5 coins are there?
  34. 34.9 × ? + 28 = 109
  35. 35.A pen costs ₹6 more than a pencil. 3 pens and 7 pencils cost ₹48 in all. What does one pencil cost (in ₹)?
  36. 36.A pen costs ₹5 more than a pencil. 3 pens and 7 pencils cost ₹65 in all. What does one pencil cost (in ₹)?
  37. 37.The length of a rectangle is 5 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  38. 38.A pen costs ₹14 more than a pencil. 3 pens and 3 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  39. 39.The length of a rectangle is 12 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  40. 40.4 × ? + 11 = 99

Answer key

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

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