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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 774 · 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. 1.2 × ? + 27 = 47
  2. 2.A pen costs ₹9 more than a pencil. 6 pens and 3 pencils cost ₹180 in all. What does one pencil cost (in ₹)?
  3. 3.4 × ? − 16 = 72
  4. 4.Solve for x: 8(x + 5) = 7x + 55. What is x?
  5. 5.9 × ? + 22 = 103
  6. 6.I think of a number, multiply it by 9 and then add 27. The answer is 72. What is my number?
  7. 7.Sneha has 29 coins, all ₹5 and ₹2 coins, worth ₹103 in all. How many ₹5 coins are there?
  8. 8.7 × ? − 2 = 117
  9. 9.Solve for x: 4(x + 7) = 2x + 68. What is x?
  10. 10.A pen costs ₹4 more than a pencil. 2 pens and 7 pencils cost ₹116 in all. What does one pencil cost (in ₹)?
  11. 11.Solve for x: 6(x + 8) = 5x + 52. What is x?
  12. 12.I think of a number, multiply it by 4 and then add 4. The answer is 48. What is my number?
  13. 13.I think of a number, multiply it by 9 and then add 39. The answer is 66. What is my number?
  14. 14.I think of a number, multiply it by 4 and then take away 37. The answer is 39. What is my number?
  15. 15.Solve for x: 5(x + 1) = x + 33. What is x?
  16. 16.The length of a rectangle is 2 m more than its breadth. Its perimeter is 16 m. What is its breadth (in m)?
  17. 17.A pen costs ₹13 more than a pencil. 6 pens and 7 pencils cost ₹221 in all. What does one pencil cost (in ₹)?
  18. 18.12 × ? + 11 = 215
  19. 19.Solve for x: 6(x + 5) = 5x + 41. What is x?
  20. 20.A pen costs ₹3 more than a pencil. 6 pens and 3 pencils cost ₹180 in all. What does one pencil cost (in ₹)?
  21. 21.The length of a rectangle is 10 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  22. 22.The length of a rectangle is 2 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  23. 23.10 × ? + 5 = 85
  24. 24.Diya has 10 coins, all ₹5 and ₹2 coins, worth ₹26 in all. How many ₹5 coins are there?
  25. 25.8 × ? + 7 = 23
  26. 26.The length of a rectangle is 10 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  27. 27.Aditya has 23 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  28. 28.12 × ? − 17 = 55
  29. 29.Ishaan has 8 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  30. 30.I think of a number, multiply it by 3 and then add 1. The answer is 28. What is my number?
  31. 31.The length of a rectangle is 9 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  32. 32.The length of a rectangle is 10 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  33. 33.11 × ? − 24 = 64
  34. 34.A pen costs ₹2 more than a pencil. 2 pens and 8 pencils cost ₹194 in all. What does one pencil cost (in ₹)?
  35. 35.I think of a number, multiply it by 2 and then add 22. The answer is 38. What is my number?
  36. 36.I think of a number, multiply it by 2 and then take away 8. The answer is 28. What is my number?
  37. 37.Zoya has 23 coins, all ₹5 and ₹2 coins, worth ₹58 in all. How many ₹5 coins are there?
  38. 38.Solve for x: 7(x + 3) = 2x + 76. What is x?
  39. 39.The length of a rectangle is 12 m more than its breadth. Its perimeter is 144 m. What is its breadth (in m)?
  40. 40.The length of a rectangle is 7 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?

Answer key

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

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