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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 704 · 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. 1.9 × ? + 28 = 181
  2. 2.The length of a rectangle is 2 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  3. 3.Rohan has 16 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
  4. 4.I think of a number, multiply it by 7 and then take away 13. The answer is 141. What is my number?
  5. 5.4 × ? − 11 = 81
  6. 6.The length of a rectangle is 13 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  7. 7.Ananya has 15 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  8. 8.Solve for x: 8(x + 7) = 6x + 68. What is x?
  9. 9.The length of a rectangle is 11 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  10. 10.I think of a number, multiply it by 2 and then add 15. The answer is 47. What is my number?
  11. 11.2 × ? − 25 = 5
  12. 12.Solve for x: 6(x + 1) = x + 26. What is x?
  13. 13.3 × ? + 8 = 80
  14. 14.A pen costs ₹7 more than a pencil. 2 pens and 7 pencils cost ₹104 in all. What does one pencil cost (in ₹)?
  15. 15.I think of a number, multiply it by 5 and then take away 30. The answer is 50. What is my number?
  16. 16.Solve for x: 7(x + 4) = x + 118. What is x?
  17. 17.A pen costs ₹5 more than a pencil. 6 pens and 7 pencils cost ₹95 in all. What does one pencil cost (in ₹)?
  18. 18.I think of a number, multiply it by 4 and then add 9. The answer is 33. What is my number?
  19. 19.A pen costs ₹3 more than a pencil. 5 pens and 3 pencils cost ₹55 in all. What does one pencil cost (in ₹)?
  20. 20.The length of a rectangle is 3 m more than its breadth. Its perimeter is 22 m. What is its breadth (in m)?
  21. 21.The length of a rectangle is 12 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  22. 22.The length of a rectangle is 9 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  23. 23.I think of a number, multiply it by 8 and then take away 9. The answer is 135. What is my number?
  24. 24.A pen costs ₹7 more than a pencil. 5 pens and 2 pencils cost ₹105 in all. What does one pencil cost (in ₹)?
  25. 25.A pen costs ₹2 more than a pencil. 2 pens and 3 pencils cost ₹59 in all. What does one pencil cost (in ₹)?
  26. 26.A pen costs ₹3 more than a pencil. 4 pens and 4 pencils cost ₹116 in all. What does one pencil cost (in ₹)?
  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.I think of a number, multiply it by 4 and then add 29. The answer is 85. What is my number?
  29. 29.A pen costs ₹10 more than a pencil. 4 pens and 4 pencils cost ₹192 in all. What does one pencil cost (in ₹)?
  30. 30.I think of a number, multiply it by 2 and then add 27. The answer is 69. What is my number?
  31. 31.A pen costs ₹9 more than a pencil. 2 pens and 7 pencils cost ₹99 in all. What does one pencil cost (in ₹)?
  32. 32.Solve for x: 7(x + 7) = x + 115. What is x?
  33. 33.I think of a number, multiply it by 3 and then add 23. The answer is 86. What is my number?
  34. 34.I think of a number, multiply it by 8 and then take away 5. The answer is 59. What is my number?
  35. 35.I think of a number, multiply it by 9 and then take away 9. The answer is 9. What is my number?
  36. 36.12 × ? + 5 = 29
  37. 37.Solve for x: 6(x + 1) = x + 76. What is x?
  38. 38.Solve for x: 9(x + 6) = 6x + 81. What is x?
  39. 39.I think of a number, multiply it by 3 and then add 5. The answer is 80. What is my number?
  40. 40.The length of a rectangle is 7 m more than its breadth. Its perimeter is 26 m. What is its breadth (in m)?

Answer key

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

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