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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 275 · 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.Solve for x: 5(x + 6) = 2x + 42. What is x?
  2. 2.I think of a number, multiply it by 8 and then take away 6. The answer is 34. What is my number?
  3. 3.The length of a rectangle is 10 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  4. 4.The length of a rectangle is 15 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  5. 5.Solve for x: 8(x + 8) = 5x + 103. What is x?
  6. 6.I think of a number, multiply it by 8 and then take away 15. The answer is 137. What is my number?
  7. 7.10 × ? − 8 = 162
  8. 8.A pen costs ₹2 more than a pencil. 4 pens and 4 pencils cost ₹136 in all. What does one pencil cost (in ₹)?
  9. 9.2 × ? + 20 = 38
  10. 10.I think of a number, multiply it by 3 and then take away 17. The answer is 34. What is my number?
  11. 11.Ananya has 8 coins, all ₹5 and ₹2 coins, worth ₹22 in all. How many ₹5 coins are there?
  12. 12.The length of a rectangle is 9 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  13. 13.A pen costs ₹3 more than a pencil. 3 pens and 3 pencils cost ₹45 in all. What does one pencil cost (in ₹)?
  14. 14.Solve for x: 5(x + 9) = 4x + 55. What is x?
  15. 15.Pooja has 8 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  16. 16.A pen costs ₹12 more than a pencil. 5 pens and 7 pencils cost ₹204 in all. What does one pencil cost (in ₹)?
  17. 17.The length of a rectangle is 12 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  18. 18.The length of a rectangle is 7 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  19. 19.A pen costs ₹2 more than a pencil. 5 pens and 6 pencils cost ₹65 in all. What does one pencil cost (in ₹)?
  20. 20.5 × ? + 24 = 54
  21. 21.Solve for x: 6(x + 4) = 2x + 104. What is x?
  22. 22.The length of a rectangle is 2 m more than its breadth. Its perimeter is 28 m. What is its breadth (in m)?
  23. 23.A pen costs ₹9 more than a pencil. 3 pens and 5 pencils cost ₹51 in all. What does one pencil cost (in ₹)?
  24. 24.I think of a number, multiply it by 8 and then take away 19. The answer is 5. What is my number?
  25. 25.Solve for x: 9(x + 3) = 5x + 51. What is x?
  26. 26.Vivaan has 9 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  27. 27.Solve for x: 8(x + 9) = 2x + 192. What is x?
  28. 28.A pen costs ₹15 more than a pencil. 2 pens and 8 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  29. 29.Solve for x: 9(x + 8) = 3x + 96. What is x?
  30. 30.A pen costs ₹10 more than a pencil. 2 pens and 5 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  31. 31.Solve for x: 8(x + 2) = 7x + 20. What is x?
  32. 32.A pen costs ₹13 more than a pencil. 2 pens and 3 pencils cost ₹91 in all. What does one pencil cost (in ₹)?
  33. 33.10 × ? + 20 = 110
  34. 34.I think of a number, multiply it by 5 and then add 8. The answer is 18. What is my number?
  35. 35.The length of a rectangle is 4 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  36. 36.12 × ? − 9 = 195
  37. 37.I think of a number, multiply it by 6 and then take away 22. The answer is 128. What is my number?
  38. 38.A pen costs ₹12 more than a pencil. 3 pens and 4 pencils cost ₹85 in all. What does one pencil cost (in ₹)?
  39. 39.A pen costs ₹12 more than a pencil. 4 pens and 8 pencils cost ₹192 in all. What does one pencil cost (in ₹)?
  40. 40.12 × ? − 28 = 272

Answer key

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

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