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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 796 · 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.The length of a rectangle is 8 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  2. 2.Ishaan has 27 coins, all ₹5 and ₹2 coins, worth ₹132 in all. How many ₹5 coins are there?
  3. 3.I think of a number, multiply it by 6 and then add 9. The answer is 63. What is my number?
  4. 4.Solve for x: 4(x + 7) = 2x + 30. What is x?
  5. 5.Solve for x: 5(x + 1) = x + 21. What is x?
  6. 6.Solve for x: 7(x + 6) = 2x + 107. What is x?
  7. 7.A pen costs ₹11 more than a pencil. 3 pens and 3 pencils cost ₹141 in all. What does one pencil cost (in ₹)?
  8. 8.4 × ? + 13 = 45
  9. 9.Solve for x: 6(x + 3) = 4x + 54. What is x?
  10. 10.Solve for x: 9(x + 8) = x + 200. What is x?
  11. 11.Saanvi has 8 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  12. 12.Solve for x: 6(x + 4) = 2x + 60. What is x?
  13. 13.5 × ? − 18 = 52
  14. 14.11 × ? + 1 = 100
  15. 15.A pen costs ₹10 more than a pencil. 3 pens and 5 pencils cost ₹174 in all. What does one pencil cost (in ₹)?
  16. 16.I think of a number, multiply it by 8 and then add 2. The answer is 178. What is my number?
  17. 17.2 × ? + 29 = 33
  18. 18.The length of a rectangle is 2 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  19. 19.A pen costs ₹6 more than a pencil. 6 pens and 2 pencils cost ₹148 in all. What does one pencil cost (in ₹)?
  20. 20.Arjun has 10 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  21. 21.I think of a number, multiply it by 3 and then add 40. The answer is 49. What is my number?
  22. 22.I think of a number, multiply it by 7 and then add 29. The answer is 120. What is my number?
  23. 23.4 × ? + 21 = 65
  24. 24.I think of a number, multiply it by 5 and then take away 22. The answer is 28. What is my number?
  25. 25.9 × ? + 12 = 237
  26. 26.I think of a number, multiply it by 6 and then add 38. The answer is 110. What is my number?
  27. 27.The length of a rectangle is 3 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  28. 28.I think of a number, multiply it by 3 and then add 25. The answer is 52. What is my number?
  29. 29.The length of a rectangle is 4 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  30. 30.A pen costs ₹10 more than a pencil. 3 pens and 2 pencils cost ₹45 in all. What does one pencil cost (in ₹)?
  31. 31.A pen costs ₹9 more than a pencil. 6 pens and 5 pencils cost ₹274 in all. What does one pencil cost (in ₹)?
  32. 32.Sneha has 14 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  33. 33.The length of a rectangle is 7 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  34. 34.Kabir has 13 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  35. 35.The length of a rectangle is 7 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  36. 36.The length of a rectangle is 9 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  37. 37.The length of a rectangle is 15 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  38. 38.Karan has 22 coins, all ₹5 and ₹2 coins, worth ₹71 in all. How many ₹5 coins are there?
  39. 39.Ananya has 24 coins, all ₹5 and ₹2 coins, worth ₹114 in all. How many ₹5 coins are there?
  40. 40.The length of a rectangle is 13 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?

Answer key

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

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