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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 100 · 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. 1.12 × ? − 6 = 234
  2. 2.I think of a number, multiply it by 7 and then add 4. The answer is 214. What is my number?
  3. 3.I think of a number, multiply it by 9 and then add 6. The answer is 60. What is my number?
  4. 4.A pen costs ₹8 more than a pencil. 2 pens and 2 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  5. 5.I think of a number, multiply it by 3 and then take away 18. The answer is 21. What is my number?
  6. 6.I think of a number, multiply it by 2 and then take away 9. The answer is 51. What is my number?
  7. 7.The length of a rectangle is 8 m more than its breadth. Its perimeter is 28 m. What is its breadth (in m)?
  8. 8.4 × ? + 20 = 60
  9. 9.I think of a number, multiply it by 4 and then take away 5. The answer is 111. What is my number?
  10. 10.I think of a number, multiply it by 2 and then take away 6. The answer is 42. What is my number?
  11. 11.The length of a rectangle is 4 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  12. 12.Solve for x: 4(x + 5) = 2x + 56. What is x?
  13. 13.The length of a rectangle is 7 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  14. 14.I think of a number, multiply it by 2 and then take away 14. The answer is 22. What is my number?
  15. 15.I think of a number, multiply it by 9 and then take away 21. The answer is 69. What is my number?
  16. 16.I think of a number, multiply it by 2 and then add 28. The answer is 54. What is my number?
  17. 17.I think of a number, multiply it by 3 and then add 3. The answer is 48. What is my number?
  18. 18.Solve for x: 6(x + 2) = x + 77. What is x?
  19. 19.Solve for x: 8(x + 4) = 4x + 40. What is x?
  20. 20.A pen costs ₹11 more than a pencil. 2 pens and 4 pencils cost ₹46 in all. What does one pencil cost (in ₹)?
  21. 21.The length of a rectangle is 12 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  22. 22.I think of a number, multiply it by 8 and then take away 27. The answer is 37. What is my number?
  23. 23.6 × ? + 15 = 117
  24. 24.Solve for x: 9(x + 8) = 6x + 117. What is x?
  25. 25.A pen costs ₹15 more than a pencil. 3 pens and 2 pencils cost ₹135 in all. What does one pencil cost (in ₹)?
  26. 26.I think of a number, multiply it by 6 and then take away 5. The answer is 103. What is my number?
  27. 27.The length of a rectangle is 9 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  28. 28.A pen costs ₹5 more than a pencil. 2 pens and 8 pencils cost ₹190 in all. What does one pencil cost (in ₹)?
  29. 29.9 × ? − 10 = 53
  30. 30.I think of a number, multiply it by 6 and then add 24. The answer is 126. What is my number?
  31. 31.A pen costs ₹10 more than a pencil. 2 pens and 2 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  32. 32.Solve for x: 5(x + 8) = 2x + 85. What is x?
  33. 33.I think of a number, multiply it by 9 and then take away 10. The answer is 143. What is my number?
  34. 34.Aarav has 26 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  35. 35.3 × ? + 4 = 70
  36. 36.I think of a number, multiply it by 7 and then add 24. The answer is 213. What is my number?
  37. 37.Solve for x: 3(x + 3) = 2x + 27. What is x?
  38. 38.The length of a rectangle is 15 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  39. 39.Nisha has 18 coins, all ₹5 and ₹2 coins, worth ₹78 in all. How many ₹5 coins are there?
  40. 40.8 × ? − 27 = 93

Answer key

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

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