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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 556 · 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 8 and then take away 27. The answer is 5. What is my number?
  2. 2.The length of a rectangle is 5 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  3. 3.Solve for x: 5(x + 5) = 4x + 31. What is x?
  4. 4.I think of a number, multiply it by 3 and then take away 29. The answer is 31. What is my number?
  5. 5.The length of a rectangle is 12 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  6. 6.A pen costs ₹12 more than a pencil. 6 pens and 5 pencils cost ₹160 in all. What does one pencil cost (in ₹)?
  7. 7.Aarav has 11 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  8. 8.Vivaan has 30 coins, all ₹5 and ₹2 coins, worth ₹135 in all. How many ₹5 coins are there?
  9. 9.Solve for x: 5(x + 6) = 2x + 36. What is x?
  10. 10.A pen costs ₹6 more than a pencil. 6 pens and 4 pencils cost ₹66 in all. What does one pencil cost (in ₹)?
  11. 11.12 × ? + 23 = 191
  12. 12.The length of a rectangle is 9 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  13. 13.A pen costs ₹9 more than a pencil. 6 pens and 7 pencils cost ₹236 in all. What does one pencil cost (in ₹)?
  14. 14.The length of a rectangle is 9 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  15. 15.3 × ? + 29 = 68
  16. 16.The length of a rectangle is 4 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  17. 17.The length of a rectangle is 3 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  18. 18.Solve for x: 7(x + 7) = 6x + 56. What is x?
  19. 19.6 × ? − 2 = 34
  20. 20.I think of a number, multiply it by 7 and then take away 6. The answer is 120. What is my number?
  21. 21.I think of a number, multiply it by 5 and then take away 24. The answer is 116. What is my number?
  22. 22.The length of a rectangle is 10 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  23. 23.Vivaan has 26 coins, all ₹5 and ₹2 coins, worth ₹118 in all. How many ₹5 coins are there?
  24. 24.I think of a number, multiply it by 9 and then take away 22. The answer is 203. What is my number?
  25. 25.The length of a rectangle is 8 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  26. 26.The length of a rectangle is 8 m more than its breadth. Its perimeter is 28 m. What is its breadth (in m)?
  27. 27.I think of a number, multiply it by 7 and then add 7. The answer is 56. What is my number?
  28. 28.Solve for x: 5(x + 3) = x + 47. What is x?
  29. 29.I think of a number, multiply it by 9 and then take away 30. The answer is 6. What is my number?
  30. 30.Solve for x: 7(x + 7) = 5x + 57. What is x?
  31. 31.Solve for x: 7(x + 2) = x + 26. What is x?
  32. 32.The length of a rectangle is 6 m more than its breadth. Its perimeter is 28 m. What is its breadth (in m)?
  33. 33.A pen costs ₹7 more than a pencil. 2 pens and 5 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  34. 34.Farhan has 27 coins, all ₹5 and ₹2 coins, worth ₹87 in all. How many ₹5 coins are there?
  35. 35.I think of a number, multiply it by 4 and then add 6. The answer is 70. What is my number?
  36. 36.A pen costs ₹6 more than a pencil. 3 pens and 3 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  37. 37.4 × ? + 30 = 102
  38. 38.Solve for x: 8(x + 7) = x + 84. What is x?
  39. 39.A pen costs ₹14 more than a pencil. 5 pens and 8 pencils cost ₹226 in all. What does one pencil cost (in ₹)?
  40. 40.I think of a number, multiply it by 4 and then take away 35. The answer is 61. What is my number?

Answer key

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

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