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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 532 · 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. 1.10 × ? − 8 = 82
  2. 2.Solve for x: 6(x + 7) = 4x + 68. What is x?
  3. 3.I think of a number, multiply it by 8 and then take away 22. The answer is 10. What is my number?
  4. 4.The length of a rectangle is 10 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  5. 5.4 × ? + 26 = 42
  6. 6.A pen costs ₹9 more than a pencil. 5 pens and 4 pencils cost ₹189 in all. What does one pencil cost (in ₹)?
  7. 7.A pen costs ₹9 more than a pencil. 5 pens and 3 pencils cost ₹117 in all. What does one pencil cost (in ₹)?
  8. 8.I think of a number, multiply it by 8 and then add 29. The answer is 173. What is my number?
  9. 9.A pen costs ₹14 more than a pencil. 3 pens and 6 pencils cost ₹168 in all. What does one pencil cost (in ₹)?
  10. 10.Solve for x: 4(x + 1) = 3x + 17. What is x?
  11. 11.The length of a rectangle is 6 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  12. 12.9 × ? + 6 = 78
  13. 13.A pen costs ₹9 more than a pencil. 3 pens and 2 pencils cost ₹82 in all. What does one pencil cost (in ₹)?
  14. 14.Farhan has 10 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  15. 15.A pen costs ₹15 more than a pencil. 4 pens and 4 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  16. 16.I think of a number, multiply it by 8 and then add 9. The answer is 73. What is my number?
  17. 17.I think of a number, multiply it by 6 and then take away 23. The answer is 151. What is my number?
  18. 18.Solve for x: 3(x + 3) = 2x + 14. What is x?
  19. 19.I think of a number, multiply it by 9 and then take away 12. The answer is 249. What is my number?
  20. 20.The length of a rectangle is 8 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  21. 21.A pen costs ₹9 more than a pencil. 6 pens and 8 pencils cost ₹222 in all. What does one pencil cost (in ₹)?
  22. 22.The length of a rectangle is 11 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  23. 23.The length of a rectangle is 11 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  24. 24.A pen costs ₹10 more than a pencil. 5 pens and 2 pencils cost ₹176 in all. What does one pencil cost (in ₹)?
  25. 25.The length of a rectangle is 12 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  26. 26.I think of a number, multiply it by 4 and then take away 40. The answer is 48. What is my number?
  27. 27.Solve for x: 5(x + 7) = 2x + 74. What is x?
  28. 28.Isha has 8 coins, all ₹5 and ₹2 coins, worth ₹22 in all. How many ₹5 coins are there?
  29. 29.The length of a rectangle is 14 m more than its breadth. Its perimeter is 140 m. What is its breadth (in m)?
  30. 30.6 × ? − 1 = 65
  31. 31.I think of a number, multiply it by 6 and then take away 15. The answer is 135. What is my number?
  32. 32.I think of a number, multiply it by 6 and then take away 22. The answer is 110. What is my number?
  33. 33.I think of a number, multiply it by 7 and then take away 32. The answer is 38. What is my number?
  34. 34.I think of a number, multiply it by 4 and then take away 20. The answer is 64. What is my number?
  35. 35.I think of a number, multiply it by 5 and then add 37. The answer is 167. What is my number?
  36. 36.I think of a number, multiply it by 7 and then take away 31. The answer is 18. What is my number?
  37. 37.Solve for x: 3(x + 4) = x + 48. What is x?
  38. 38.A pen costs ₹5 more than a pencil. 2 pens and 4 pencils cost ₹82 in all. What does one pencil cost (in ₹)?
  39. 39.A pen costs ₹13 more than a pencil. 5 pens and 2 pencils cost ₹93 in all. What does one pencil cost (in ₹)?
  40. 40.Meera has 8 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?

Answer key

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

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