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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 802 · 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: 9(x + 6) = 3x + 60. What is x?
  2. 2.Solve for x: 3(x + 3) = 2x + 29. What is x?
  3. 3.A pen costs ₹7 more than a pencil. 3 pens and 8 pencils cost ₹142 in all. What does one pencil cost (in ₹)?
  4. 4.I think of a number, multiply it by 5 and then take away 36. The answer is 24. What is my number?
  5. 5.A pen costs ₹10 more than a pencil. 6 pens and 4 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  6. 6.4 × ? + 9 = 105
  7. 7.Sneha has 21 coins, all ₹5 and ₹2 coins, worth ₹72 in all. How many ₹5 coins are there?
  8. 8.I think of a number, multiply it by 7 and then add 4. The answer is 137. What is my number?
  9. 9.I think of a number, multiply it by 7 and then add 11. The answer is 186. What is my number?
  10. 10.The length of a rectangle is 5 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  11. 11.Aarav has 19 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  12. 12.Zoya has 14 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  13. 13.The length of a rectangle is 8 m more than its breadth. Its perimeter is 132 m. What is its breadth (in m)?
  14. 14.Solve for x: 4(x + 3) = 3x + 30. What is x?
  15. 15.Solve for x: 3(x + 4) = x + 52. What is x?
  16. 16.The length of a rectangle is 6 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  17. 17.I think of a number, multiply it by 5 and then add 2. The answer is 57. What is my number?
  18. 18.Aarav has 25 coins, all ₹5 and ₹2 coins, worth ₹107 in all. How many ₹5 coins are there?
  19. 19.Karan has 14 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  20. 20.A pen costs ₹14 more than a pencil. 2 pens and 2 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  21. 21.The length of a rectangle is 10 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  22. 22.The length of a rectangle is 5 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  23. 23.2 × ? + 30 = 42
  24. 24.Saanvi has 22 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  25. 25.Solve for x: 3(x + 1) = x + 7. What is x?
  26. 26.A pen costs ₹9 more than a pencil. 3 pens and 2 pencils cost ₹47 in all. What does one pencil cost (in ₹)?
  27. 27.I think of a number, multiply it by 9 and then take away 5. The answer is 220. What is my number?
  28. 28.A pen costs ₹2 more than a pencil. 2 pens and 7 pencils cost ₹157 in all. What does one pencil cost (in ₹)?
  29. 29.Solve for x: 4(x + 9) = 3x + 46. What is x?
  30. 30.Dev has 15 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  31. 31.The length of a rectangle is 6 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  32. 32.A pen costs ₹2 more than a pencil. 6 pens and 2 pencils cost ₹148 in all. What does one pencil cost (in ₹)?
  33. 33.Solve for x: 4(x + 1) = x + 16. What is x?
  34. 34.I think of a number, multiply it by 7 and then add 1. The answer is 92. What is my number?
  35. 35.8 × ? + 25 = 81
  36. 36.Solve for x: 7(x + 3) = 6x + 36. What is x?
  37. 37.Kabir has 28 coins, all ₹5 and ₹2 coins, worth ₹125 in all. How many ₹5 coins are there?
  38. 38.The length of a rectangle is 4 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  39. 39.A pen costs ₹5 more than a pencil. 2 pens and 7 pencils cost ₹154 in all. What does one pencil cost (in ₹)?
  40. 40.A pen costs ₹11 more than a pencil. 5 pens and 7 pencils cost ₹211 in all. What does one pencil cost (in ₹)?

Answer key

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

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