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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 786 · 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.The length of a rectangle is 6 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  2. 2.A pen costs ₹11 more than a pencil. 5 pens and 3 pencils cost ₹127 in all. What does one pencil cost (in ₹)?
  3. 3.A pen costs ₹8 more than a pencil. 2 pens and 7 pencils cost ₹124 in all. What does one pencil cost (in ₹)?
  4. 4.A pen costs ₹7 more than a pencil. 2 pens and 2 pencils cost ₹86 in all. What does one pencil cost (in ₹)?
  5. 5.4 × ? + 20 = 80
  6. 6.The length of a rectangle is 12 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  7. 7.A pen costs ₹13 more than a pencil. 4 pens and 8 pencils cost ₹220 in all. What does one pencil cost (in ₹)?
  8. 8.The length of a rectangle is 3 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  9. 9.The length of a rectangle is 15 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  10. 10.I think of a number, multiply it by 7 and then add 27. The answer is 48. What is my number?
  11. 11.Solve for x: 4(x + 8) = 3x + 39. What is x?
  12. 12.The length of a rectangle is 2 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  13. 13.Solve for x: 5(x + 7) = 2x + 41. What is x?
  14. 14.12 × ? + 6 = 150
  15. 15.A pen costs ₹6 more than a pencil. 3 pens and 2 pencils cost ₹83 in all. What does one pencil cost (in ₹)?
  16. 16.I think of a number, multiply it by 7 and then take away 6. The answer is 155. What is my number?
  17. 17.Vivaan has 24 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  18. 18.12 × ? + 29 = 101
  19. 19.Solve for x: 9(x + 6) = 5x + 62. What is x?
  20. 20.I think of a number, multiply it by 3 and then add 16. The answer is 40. What is my number?
  21. 21.Solve for x: 4(x + 2) = 2x + 16. What is x?
  22. 22.I think of a number, multiply it by 4 and then add 17. The answer is 93. What is my number?
  23. 23.Solve for x: 4(x + 2) = x + 68. What is x?
  24. 24.Solve for x: 5(x + 4) = 2x + 44. What is x?
  25. 25.7 × ? − 1 = 90
  26. 26.The length of a rectangle is 2 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  27. 27.A pen costs ₹4 more than a pencil. 4 pens and 2 pencils cost ₹130 in all. What does one pencil cost (in ₹)?
  28. 28.Solve for x: 6(x + 5) = x + 60. What is x?
  29. 29.Aditya has 28 coins, all ₹5 and ₹2 coins, worth ₹98 in all. How many ₹5 coins are there?
  30. 30.A pen costs ₹6 more than a pencil. 5 pens and 2 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  31. 31.5 × ? − 25 = 55
  32. 32.A pen costs ₹6 more than a pencil. 5 pens and 7 pencils cost ₹66 in all. What does one pencil cost (in ₹)?
  33. 33.Solve for x: 3(x + 9) = x + 63. What is x?
  34. 34.8 × ? + 5 = 93
  35. 35.I think of a number, multiply it by 9 and then take away 35. The answer is 55. What is my number?
  36. 36.The length of a rectangle is 3 m more than its breadth. Its perimeter is 18 m. What is its breadth (in m)?
  37. 37.Saanvi has 8 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  38. 38.Solve for x: 7(x + 7) = 3x + 113. What is x?
  39. 39.I think of a number, multiply it by 3 and then add 19. The answer is 82. What is my number?
  40. 40.Solve for x: 4(x + 8) = 2x + 42. What is x?

Answer key

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

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