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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 319 · 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.A pen costs ₹14 more than a pencil. 2 pens and 2 pencils cost ₹64 in all. What does one pencil cost (in ₹)?
  2. 2.Solve for x: 8(x + 2) = 2x + 64. What is x?
  3. 3.I think of a number, multiply it by 2 and then take away 2. The answer is 40. What is my number?
  4. 4.A pen costs ₹5 more than a pencil. 2 pens and 4 pencils cost ₹76 in all. What does one pencil cost (in ₹)?
  5. 5.2 × ? + 17 = 23
  6. 6.A pen costs ₹7 more than a pencil. 3 pens and 4 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  7. 7.A pen costs ₹4 more than a pencil. 6 pens and 6 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  8. 8.Priya has 12 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  9. 9.The length of a rectangle is 14 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  10. 10.A pen costs ₹11 more than a pencil. 3 pens and 7 pencils cost ₹63 in all. What does one pencil cost (in ₹)?
  11. 11.Solve for x: 4(x + 8) = x + 59. What is x?
  12. 12.I think of a number, multiply it by 2 and then add 3. The answer is 35. What is my number?
  13. 13.I think of a number, multiply it by 5 and then add 8. The answer is 68. What is my number?
  14. 14.The length of a rectangle is 2 m more than its breadth. Its perimeter is 28 m. What is its breadth (in m)?
  15. 15.Nisha has 25 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  16. 16.A pen costs ₹15 more than a pencil. 3 pens and 7 pencils cost ₹85 in all. What does one pencil cost (in ₹)?
  17. 17.I think of a number, multiply it by 7 and then take away 1. The answer is 48. What is my number?
  18. 18.Saanvi has 10 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  19. 19.The length of a rectangle is 11 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  20. 20.I think of a number, multiply it by 4 and then add 17. The answer is 125. What is my number?
  21. 21.I think of a number, multiply it by 8 and then take away 4. The answer is 164. What is my number?
  22. 22.Solve for x: 9(x + 2) = x + 138. What is x?
  23. 23.I think of a number, multiply it by 9 and then take away 1. The answer is 53. What is my number?
  24. 24.10 × ? − 29 = 151
  25. 25.Solve for x: 8(x + 7) = 5x + 65. What is x?
  26. 26.Solve for x: 5(x + 9) = 4x + 55. What is x?
  27. 27.Solve for x: 4(x + 3) = x + 48. What is x?
  28. 28.Solve for x: 4(x + 3) = 2x + 50. What is x?
  29. 29.Solve for x: 4(x + 1) = 2x + 28. What is x?
  30. 30.A pen costs ₹7 more than a pencil. 6 pens and 2 pencils cost ₹74 in all. What does one pencil cost (in ₹)?
  31. 31.Saanvi has 14 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  32. 32.Solve for x: 5(x + 1) = x + 73. What is x?
  33. 33.The length of a rectangle is 3 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  34. 34.A pen costs ₹4 more than a pencil. 5 pens and 8 pencils cost ₹176 in all. What does one pencil cost (in ₹)?
  35. 35.A pen costs ₹8 more than a pencil. 3 pens and 4 pencils cost ₹94 in all. What does one pencil cost (in ₹)?
  36. 36.Solve for x: 3(x + 2) = 2x + 14. What is x?
  37. 37.A pen costs ₹12 more than a pencil. 3 pens and 8 pencils cost ₹113 in all. What does one pencil cost (in ₹)?
  38. 38.Manav has 27 coins, all ₹5 and ₹2 coins, worth ₹90 in all. How many ₹5 coins are there?
  39. 39.I think of a number, multiply it by 2 and then add 24. The answer is 60. What is my number?
  40. 40.The length of a rectangle is 15 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?

Answer key

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

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