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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 255 · 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 2 and then add 16. The answer is 38. What is my number?
  2. 2.I think of a number, multiply it by 7 and then add 40. The answer is 215. What is my number?
  3. 3.The length of a rectangle is 8 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  4. 4.The length of a rectangle is 12 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  5. 5.The length of a rectangle is 13 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  6. 6.Solve for x: 6(x + 2) = x + 62. What is x?
  7. 7.A pen costs ₹7 more than a pencil. 2 pens and 5 pencils cost ₹112 in all. What does one pencil cost (in ₹)?
  8. 8.Ishaan has 25 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  9. 9.I think of a number, multiply it by 5 and then take away 21. The answer is 129. What is my number?
  10. 10.A pen costs ₹15 more than a pencil. 2 pens and 7 pencils cost ₹201 in all. What does one pencil cost (in ₹)?
  11. 11.12 × ? − 20 = 256
  12. 12.I think of a number, multiply it by 7 and then add 4. The answer is 151. What is my number?
  13. 13.The length of a rectangle is 3 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  14. 14.12 × ? − 8 = 172
  15. 15.Solve for x: 6(x + 7) = 4x + 54. What is x?
  16. 16.Solve for x: 4(x + 3) = x + 51. What is x?
  17. 17.Diya has 21 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  18. 18.A pen costs ₹13 more than a pencil. 2 pens and 8 pencils cost ₹186 in all. What does one pencil cost (in ₹)?
  19. 19.Sneha has 11 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  20. 20.Solve for x: 9(x + 7) = 6x + 108. What is x?
  21. 21.A pen costs ₹13 more than a pencil. 6 pens and 3 pencils cost ₹177 in all. What does one pencil cost (in ₹)?
  22. 22.The length of a rectangle is 5 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  23. 23.Solve for x: 6(x + 7) = 5x + 52. What is x?
  24. 24.I think of a number, multiply it by 3 and then take away 9. The answer is 63. What is my number?
  25. 25.Solve for x: 7(x + 1) = 6x + 27. What is x?
  26. 26.A pen costs ₹2 more than a pencil. 4 pens and 7 pencils cost ₹206 in all. What does one pencil cost (in ₹)?
  27. 27.Solve for x: 5(x + 3) = x + 79. What is x?
  28. 28.Isha has 18 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  29. 29.I think of a number, multiply it by 8 and then take away 30. The answer is 130. What is my number?
  30. 30.A pen costs ₹4 more than a pencil. 6 pens and 5 pencils cost ₹134 in all. What does one pencil cost (in ₹)?
  31. 31.9 × ? − 14 = 22
  32. 32.A pen costs ₹6 more than a pencil. 4 pens and 3 pencils cost ₹52 in all. What does one pencil cost (in ₹)?
  33. 33.Farhan has 14 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  34. 34.I think of a number, multiply it by 9 and then add 25. The answer is 160. What is my number?
  35. 35.The length of a rectangle is 15 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  36. 36.Solve for x: 7(x + 7) = x + 145. What is x?
  37. 37.A pen costs ₹5 more than a pencil. 3 pens and 7 pencils cost ₹65 in all. What does one pencil cost (in ₹)?
  38. 38.I think of a number, multiply it by 5 and then take away 29. The answer is 1. What is my number?
  39. 39.Solve for x: 6(x + 9) = 4x + 78. What is x?
  40. 40.I think of a number, multiply it by 7 and then take away 13. The answer is 1. What is my number?

Answer key

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

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