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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 72 · 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.I think of a number, multiply it by 7 and then take away 8. The answer is 104. What is my number?
  2. 2.I think of a number, multiply it by 4 and then take away 18. The answer is 90. What is my number?
  3. 3.I think of a number, multiply it by 2 and then take away 7. The answer is 39. What is my number?
  4. 4.Ananya has 30 coins, all ₹5 and ₹2 coins, worth ₹78 in all. How many ₹5 coins are there?
  5. 5.I think of a number, multiply it by 4 and then add 25. The answer is 33. What is my number?
  6. 6.I think of a number, multiply it by 6 and then take away 21. The answer is 15. What is my number?
  7. 7.Solve for x: 7(x + 7) = 2x + 79. What is x?
  8. 8.I think of a number, multiply it by 5 and then add 37. The answer is 187. What is my number?
  9. 9.11 × ? − 23 = 76
  10. 10.6 × ? − 18 = 126
  11. 11.Aditya has 29 coins, all ₹5 and ₹2 coins, worth ₹73 in all. How many ₹5 coins are there?
  12. 12.5 × ? + 10 = 100
  13. 13.3 × ? + 7 = 73
  14. 14.Rahul has 18 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?
  15. 15.A pen costs ₹9 more than a pencil. 5 pens and 2 pencils cost ₹73 in all. What does one pencil cost (in ₹)?
  16. 16.The length of a rectangle is 12 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  17. 17.A pen costs ₹6 more than a pencil. 3 pens and 3 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  18. 18.6 × ? − 2 = 142
  19. 19.The length of a rectangle is 14 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  20. 20.A pen costs ₹9 more than a pencil. 4 pens and 5 pencils cost ₹162 in all. What does one pencil cost (in ₹)?
  21. 21.A pen costs ₹2 more than a pencil. 5 pens and 5 pencils cost ₹40 in all. What does one pencil cost (in ₹)?
  22. 22.I think of a number, multiply it by 9 and then add 31. The answer is 247. What is my number?
  23. 23.10 × ? − 25 = 215
  24. 24.I think of a number, multiply it by 7 and then add 23. The answer is 205. What is my number?
  25. 25.8 × ? + 7 = 55
  26. 26.I think of a number, multiply it by 2 and then take away 12. The answer is 36. What is my number?
  27. 27.Solve for x: 5(x + 2) = 2x + 58. What is x?
  28. 28.Solve for x: 4(x + 6) = 2x + 62. What is x?
  29. 29.The length of a rectangle is 8 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  30. 30.The length of a rectangle is 2 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  31. 31.Zoya has 22 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  32. 32.The length of a rectangle is 2 m more than its breadth. Its perimeter is 16 m. What is its breadth (in m)?
  33. 33.Solve for x: 9(x + 2) = 3x + 36. What is x?
  34. 34.5 × ? + 13 = 23
  35. 35.2 × ? + 29 = 45
  36. 36.Saanvi has 11 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  37. 37.3 × ? + 29 = 44
  38. 38.A pen costs ₹8 more than a pencil. 4 pens and 6 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  39. 39.The length of a rectangle is 12 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  40. 40.Solve for x: 5(x + 9) = x + 65. What is x?

Answer key

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

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