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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 81 · 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. 1.4 × ? + 25 = 53
  2. 2.11 × ? − 7 = 59
  3. 3.Aarav has 13 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  4. 4.A pen costs ₹4 more than a pencil. 5 pens and 8 pencils cost ₹85 in all. What does one pencil cost (in ₹)?
  5. 5.The length of a rectangle is 9 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  6. 6.I think of a number, multiply it by 2 and then take away 12. The answer is 44. What is my number?
  7. 7.Aditya has 27 coins, all ₹5 and ₹2 coins, worth ₹90 in all. How many ₹5 coins are there?
  8. 8.The length of a rectangle is 5 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  9. 9.8 × ? − 22 = 34
  10. 10.The length of a rectangle is 14 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  11. 11.12 × ? − 6 = 150
  12. 12.Rohan has 10 coins, all ₹5 and ₹2 coins, worth ₹26 in all. How many ₹5 coins are there?
  13. 13.A pen costs ₹8 more than a pencil. 2 pens and 4 pencils cost ₹112 in all. What does one pencil cost (in ₹)?
  14. 14.I think of a number, multiply it by 3 and then add 8. The answer is 53. What is my number?
  15. 15.Nisha has 13 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  16. 16.The length of a rectangle is 11 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  17. 17.9 × ? + 26 = 107
  18. 18.11 × ? − 4 = 271
  19. 19.The length of a rectangle is 15 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  20. 20.I think of a number, multiply it by 8 and then take away 33. The answer is 95. What is my number?
  21. 21.Solve for x: 9(x + 9) = 7x + 109. What is x?
  22. 22.I think of a number, multiply it by 6 and then take away 22. The answer is 32. What is my number?
  23. 23.Solve for x: 5(x + 2) = x + 58. What is x?
  24. 24.I think of a number, multiply it by 7 and then take away 8. The answer is 27. What is my number?
  25. 25.Isha has 20 coins, all ₹5 and ₹2 coins, worth ₹85 in all. How many ₹5 coins are there?
  26. 26.Solve for x: 3(x + 7) = x + 27. What is x?
  27. 27.I think of a number, multiply it by 9 and then add 37. The answer is 145. What is my number?
  28. 28.8 × ? − 7 = 49
  29. 29.Solve for x: 6(x + 4) = 5x + 44. What is x?
  30. 30.I think of a number, multiply it by 6 and then add 40. The answer is 118. What is my number?
  31. 31.The length of a rectangle is 3 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  32. 32.The length of a rectangle is 12 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  33. 33.A pen costs ₹5 more than a pencil. 2 pens and 6 pencils cost ₹42 in all. What does one pencil cost (in ₹)?
  34. 34.The length of a rectangle is 7 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  35. 35.Solve for x: 5(x + 1) = 4x + 9. What is x?
  36. 36.Solve for x: 3(x + 2) = 2x + 13. What is x?
  37. 37.I think of a number, multiply it by 9 and then add 36. The answer is 189. What is my number?
  38. 38.The length of a rectangle is 15 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  39. 39.A pen costs ₹9 more than a pencil. 6 pens and 4 pencils cost ₹244 in all. What does one pencil cost (in ₹)?
  40. 40.Solve for x: 6(x + 9) = 4x + 88. What is x?

Answer key

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

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