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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 454 · 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. 1.11 × ? + 18 = 249
  2. 2.7 × ? + 22 = 57
  3. 3.3 × ? + 9 = 33
  4. 4.Aarav has 9 coins, all ₹5 and ₹2 coins, worth ₹24 in all. How many ₹5 coins are there?
  5. 5.Tara has 16 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  6. 6.I think of a number, multiply it by 3 and then add 18. The answer is 105. What is my number?
  7. 7.The length of a rectangle is 6 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  8. 8.I think of a number, multiply it by 7 and then take away 36. The answer is 20. What is my number?
  9. 9.Aditya has 23 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  10. 10.2 × ? + 18 = 44
  11. 11.Solve for x: 6(x + 8) = 5x + 53. What is x?
  12. 12.A pen costs ₹13 more than a pencil. 2 pens and 2 pencils cost ₹50 in all. What does one pencil cost (in ₹)?
  13. 13.I think of a number, multiply it by 3 and then add 4. The answer is 88. What is my number?
  14. 14.Dev has 10 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
  15. 15.10 × ? + 6 = 86
  16. 16.6 × ? − 24 = 114
  17. 17.11 × ? − 3 = 184
  18. 18.A pen costs ₹6 more than a pencil. 4 pens and 6 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  19. 19.Solve for x: 9(x + 5) = 2x + 157. What is x?
  20. 20.A pen costs ₹10 more than a pencil. 4 pens and 5 pencils cost ₹103 in all. What does one pencil cost (in ₹)?
  21. 21.I think of a number, multiply it by 2 and then take away 15. The answer is 19. What is my number?
  22. 22.Ishaan has 28 coins, all ₹5 and ₹2 coins, worth ₹68 in all. How many ₹5 coins are there?
  23. 23.A pen costs ₹4 more than a pencil. 6 pens and 8 pencils cost ₹164 in all. What does one pencil cost (in ₹)?
  24. 24.A pen costs ₹8 more than a pencil. 2 pens and 3 pencils cost ₹36 in all. What does one pencil cost (in ₹)?
  25. 25.Solve for x: 3(x + 2) = 2x + 13. What is x?
  26. 26.The length of a rectangle is 4 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  27. 27.Rahul has 16 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  28. 28.I think of a number, multiply it by 5 and then take away 9. The answer is 26. What is my number?
  29. 29.Solve for x: 8(x + 8) = 4x + 128. What is x?
  30. 30.The length of a rectangle is 8 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  31. 31.I think of a number, multiply it by 7 and then take away 13. The answer is 15. What is my number?
  32. 32.3 × ? + 8 = 77
  33. 33.Farhan has 22 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  34. 34.I think of a number, multiply it by 9 and then add 33. The answer is 231. What is my number?
  35. 35.4 × ? − 8 = 36
  36. 36.Farhan has 8 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  37. 37.I think of a number, multiply it by 4 and then add 12. The answer is 92. What is my number?
  38. 38.Ananya has 15 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  39. 39.A pen costs ₹9 more than a pencil. 3 pens and 6 pencils cost ₹180 in all. What does one pencil cost (in ₹)?
  40. 40.8 × ? + 10 = 66

Answer key

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

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