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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 659 · 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.I think of a number, multiply it by 4 and then add 10. The answer is 46. What is my number?
  2. 2.A pen costs ₹3 more than a pencil. 2 pens and 6 pencils cost ₹158 in all. What does one pencil cost (in ₹)?
  3. 3.Rahul has 16 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  4. 4.I think of a number, multiply it by 7 and then take away 4. The answer is 157. What is my number?
  5. 5.A pen costs ₹8 more than a pencil. 3 pens and 2 pencils cost ₹94 in all. What does one pencil cost (in ₹)?
  6. 6.A pen costs ₹15 more than a pencil. 2 pens and 3 pencils cost ₹115 in all. What does one pencil cost (in ₹)?
  7. 7.I think of a number, multiply it by 4 and then add 31. The answer is 79. What is my number?
  8. 8.I think of a number, multiply it by 3 and then take away 15. The answer is 57. What is my number?
  9. 9.9 × ? − 30 = 195
  10. 10.The length of a rectangle is 13 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  11. 11.Saanvi has 19 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  12. 12.A pen costs ₹4 more than a pencil. 4 pens and 6 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  13. 13.Solve for x: 3(x + 8) = 2x + 38. What is x?
  14. 14.I think of a number, multiply it by 7 and then add 11. The answer is 39. What is my number?
  15. 15.Diya has 23 coins, all ₹5 and ₹2 coins, worth ₹106 in all. How many ₹5 coins are there?
  16. 16.The length of a rectangle is 10 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  17. 17.A pen costs ₹7 more than a pencil. 6 pens and 8 pencils cost ₹308 in all. What does one pencil cost (in ₹)?
  18. 18.5 × ? + 17 = 32
  19. 19.Solve for x: 4(x + 4) = 2x + 50. What is x?
  20. 20.Pooja has 15 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  21. 21.Solve for x: 4(x + 2) = x + 20. What is x?
  22. 22.I think of a number, multiply it by 8 and then add 2. The answer is 58. What is my number?
  23. 23.The length of a rectangle is 12 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  24. 24.The length of a rectangle is 5 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  25. 25.12 × ? + 12 = 48
  26. 26.Diya has 14 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  27. 27.I think of a number, multiply it by 8 and then add 20. The answer is 164. What is my number?
  28. 28.A pen costs ₹6 more than a pencil. 5 pens and 6 pencils cost ₹74 in all. What does one pencil cost (in ₹)?
  29. 29.Solve for x: 9(x + 8) = x + 128. What is x?
  30. 30.I think of a number, multiply it by 4 and then add 21. The answer is 109. What is my number?
  31. 31.A pen costs ₹4 more than a pencil. 2 pens and 8 pencils cost ₹188 in all. What does one pencil cost (in ₹)?
  32. 32.I think of a number, multiply it by 6 and then add 11. The answer is 65. What is my number?
  33. 33.A pen costs ₹8 more than a pencil. 5 pens and 2 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  34. 34.I think of a number, multiply it by 2 and then add 20. The answer is 28. What is my number?
  35. 35.The length of a rectangle is 2 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  36. 36.A pen costs ₹14 more than a pencil. 6 pens and 6 pencils cost ₹180 in all. What does one pencil cost (in ₹)?
  37. 37.A pen costs ₹5 more than a pencil. 3 pens and 6 pencils cost ₹42 in all. What does one pencil cost (in ₹)?
  38. 38.I think of a number, multiply it by 5 and then add 39. The answer is 114. What is my number?
  39. 39.Solve for x: 4(x + 7) = 3x + 41. What is x?
  40. 40.Solve for x: 9(x + 2) = 5x + 46. What is x?

Answer key

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

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