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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 752 · 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 + 3) = 8x + 38. What is x?
  2. 2.Dev has 10 coins, all ₹5 and ₹2 coins, worth ₹23 in all. How many ₹5 coins are there?
  3. 3.2 × ? + 7 = 55
  4. 4.A pen costs ₹15 more than a pencil. 5 pens and 3 pencils cost ₹147 in all. What does one pencil cost (in ₹)?
  5. 5.Pooja has 22 coins, all ₹5 and ₹2 coins, worth ₹92 in all. How many ₹5 coins are there?
  6. 6.I think of a number, multiply it by 7 and then add 36. The answer is 218. What is my number?
  7. 7.The length of a rectangle is 4 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  8. 8.Zoya has 23 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  9. 9.I think of a number, multiply it by 9 and then take away 15. The answer is 183. What is my number?
  10. 10.Rohan has 10 coins, all ₹5 and ₹2 coins, worth ₹32 in all. How many ₹5 coins are there?
  11. 11.Kabir has 19 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  12. 12.Kabir has 29 coins, all ₹5 and ₹2 coins, worth ₹103 in all. How many ₹5 coins are there?
  13. 13.Solve for x: 9(x + 2) = 6x + 33. What is x?
  14. 14.I think of a number, multiply it by 6 and then take away 23. The answer is 145. What is my number?
  15. 15.A pen costs ₹11 more than a pencil. 6 pens and 4 pencils cost ₹246 in all. What does one pencil cost (in ₹)?
  16. 16.Solve for x: 7(x + 2) = 6x + 28. What is x?
  17. 17.Solve for x: 7(x + 1) = 2x + 52. What is x?
  18. 18.10 × ? − 24 = 76
  19. 19.The length of a rectangle is 9 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  20. 20.I think of a number, multiply it by 5 and then add 8. The answer is 153. What is my number?
  21. 21.Solve for x: 3(x + 6) = x + 22. What is x?
  22. 22.Solve for x: 9(x + 1) = 8x + 24. What is x?
  23. 23.The length of a rectangle is 11 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  24. 24.The length of a rectangle is 11 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  25. 25.A pen costs ₹2 more than a pencil. 4 pens and 4 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
  26. 26.5 × ? + 4 = 39
  27. 27.I think of a number, multiply it by 7 and then add 26. The answer is 40. What is my number?
  28. 28.The length of a rectangle is 2 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  29. 29.12 × ? + 22 = 226
  30. 30.Aarav has 8 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  31. 31.Solve for x: 4(x + 9) = 3x + 44. What is x?
  32. 32.Ananya has 21 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?
  33. 33.I think of a number, multiply it by 7 and then add 11. The answer is 144. What is my number?
  34. 34.A pen costs ₹8 more than a pencil. 2 pens and 5 pencils cost ₹37 in all. What does one pencil cost (in ₹)?
  35. 35.A pen costs ₹2 more than a pencil. 3 pens and 2 pencils cost ₹66 in all. What does one pencil cost (in ₹)?
  36. 36.3 × ? + 25 = 52
  37. 37.2 × ? + 28 = 48
  38. 38.5 × ? − 19 = 1
  39. 39.2 × ? + 7 = 27
  40. 40.3 × ? + 15 = 78

Answer key

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

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