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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 71 · 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: 3(x + 4) = x + 40. What is x?
  2. 2.I think of a number, multiply it by 3 and then add 30. The answer is 102. What is my number?
  3. 3.Solve for x: 3(x + 6) = x + 48. What is x?
  4. 4.5 × ? + 8 = 68
  5. 5.Rahul has 8 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  6. 6.The length of a rectangle is 11 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  7. 7.7 × ? − 7 = 154
  8. 8.A pen costs ₹12 more than a pencil. 3 pens and 6 pencils cost ₹99 in all. What does one pencil cost (in ₹)?
  9. 9.Rahul has 11 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  10. 10.I think of a number, multiply it by 8 and then take away 9. The answer is 55. What is my number?
  11. 11.I think of a number, multiply it by 3 and then add 2. The answer is 56. What is my number?
  12. 12.Ananya has 14 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
  13. 13.Rohan has 15 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  14. 14.A pen costs ₹8 more than a pencil. 3 pens and 4 pencils cost ₹80 in all. What does one pencil cost (in ₹)?
  15. 15.Vivaan has 12 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  16. 16.The length of a rectangle is 3 m more than its breadth. Its perimeter is 18 m. What is its breadth (in m)?
  17. 17.A pen costs ₹5 more than a pencil. 2 pens and 8 pencils cost ₹50 in all. What does one pencil cost (in ₹)?
  18. 18.Diya has 24 coins, all ₹5 and ₹2 coins, worth ₹108 in all. How many ₹5 coins are there?
  19. 19.10 × ? + 12 = 152
  20. 20.Solve for x: 3(x + 7) = 2x + 28. What is x?
  21. 21.The length of a rectangle is 9 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  22. 22.3 × ? − 11 = 7
  23. 23.A pen costs ₹7 more than a pencil. 3 pens and 7 pencils cost ₹191 in all. What does one pencil cost (in ₹)?
  24. 24.Nisha has 24 coins, all ₹5 and ₹2 coins, worth ₹96 in all. How many ₹5 coins are there?
  25. 25.A pen costs ₹9 more than a pencil. 3 pens and 4 pencils cost ₹62 in all. What does one pencil cost (in ₹)?
  26. 26.Rahul has 23 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  27. 27.Ananya has 30 coins, all ₹5 and ₹2 coins, worth ₹135 in all. How many ₹5 coins are there?
  28. 28.I think of a number, multiply it by 5 and then add 5. The answer is 135. What is my number?
  29. 29.I think of a number, multiply it by 7 and then add 31. The answer is 122. What is my number?
  30. 30.The length of a rectangle is 14 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  31. 31.A pen costs ₹6 more than a pencil. 2 pens and 5 pencils cost ₹40 in all. What does one pencil cost (in ₹)?
  32. 32.Solve for x: 5(x + 6) = 2x + 54. What is x?
  33. 33.The length of a rectangle is 3 m more than its breadth. Its perimeter is 22 m. What is its breadth (in m)?
  34. 34.A pen costs ₹8 more than a pencil. 3 pens and 3 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  35. 35.Solve for x: 6(x + 5) = 2x + 110. What is x?
  36. 36.Karan has 14 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  37. 37.A pen costs ₹7 more than a pencil. 3 pens and 8 pencils cost ₹230 in all. What does one pencil cost (in ₹)?
  38. 38.I think of a number, multiply it by 7 and then take away 5. The answer is 170. What is my number?
  39. 39.Solve for x: 9(x + 6) = x + 198. What is x?
  40. 40.12 × ? − 8 = 100

Answer key

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

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