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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 657 · 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 ₹13 more than a pencil. 4 pens and 2 pencils cost ₹70 in all. What does one pencil cost (in ₹)?
  2. 2.11 × ? − 7 = 136
  3. 3.Rahul has 19 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  4. 4.I think of a number, multiply it by 2 and then add 12. The answer is 50. What is my number?
  5. 5.Solve for x: 8(x + 7) = 5x + 77. What is x?
  6. 6.Sneha has 18 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?
  7. 7.Sneha has 14 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  8. 8.The length of a rectangle is 9 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  9. 9.Solve for x: 8(x + 3) = 5x + 45. What is x?
  10. 10.A pen costs ₹14 more than a pencil. 2 pens and 7 pencils cost ₹199 in all. What does one pencil cost (in ₹)?
  11. 11.Solve for x: 3(x + 7) = x + 29. What is x?
  12. 12.A pen costs ₹4 more than a pencil. 4 pens and 7 pencils cost ₹71 in all. What does one pencil cost (in ₹)?
  13. 13.A pen costs ₹11 more than a pencil. 6 pens and 6 pencils cost ₹282 in all. What does one pencil cost (in ₹)?
  14. 14.A pen costs ₹11 more than a pencil. 5 pens and 8 pencils cost ₹263 in all. What does one pencil cost (in ₹)?
  15. 15.2 × ? + 22 = 68
  16. 16.I think of a number, multiply it by 5 and then add 30. The answer is 155. What is my number?
  17. 17.The length of a rectangle is 14 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  18. 18.A pen costs ₹5 more than a pencil. 4 pens and 7 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  19. 19.I think of a number, multiply it by 6 and then add 27. The answer is 57. What is my number?
  20. 20.A pen costs ₹7 more than a pencil. 2 pens and 8 pencils cost ₹204 in all. What does one pencil cost (in ₹)?
  21. 21.Solve for x: 5(x + 8) = 3x + 68. What is x?
  22. 22.The length of a rectangle is 2 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  23. 23.The length of a rectangle is 10 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  24. 24.Vivaan has 8 coins, all ₹5 and ₹2 coins, worth ₹22 in all. How many ₹5 coins are there?
  25. 25.The length of a rectangle is 6 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  26. 26.Arjun has 20 coins, all ₹5 and ₹2 coins, worth ₹73 in all. How many ₹5 coins are there?
  27. 27.12 × ? − 15 = 105
  28. 28.3 × ? + 6 = 12
  29. 29.A pen costs ₹4 more than a pencil. 3 pens and 8 pencils cost ₹221 in all. What does one pencil cost (in ₹)?
  30. 30.The length of a rectangle is 7 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  31. 31.Solve for x: 8(x + 5) = 2x + 124. What is x?
  32. 32.I think of a number, multiply it by 3 and then take away 38. The answer is 52. What is my number?
  33. 33.I think of a number, multiply it by 8 and then take away 12. The answer is 228. What is my number?
  34. 34.3 × ? + 30 = 39
  35. 35.Solve for x: 6(x + 1) = x + 11. What is x?
  36. 36.Solve for x: 5(x + 9) = x + 65. What is x?
  37. 37.2 × ? + 11 = 19
  38. 38.A pen costs ₹13 more than a pencil. 3 pens and 6 pencils cost ₹183 in all. What does one pencil cost (in ₹)?
  39. 39.A pen costs ₹12 more than a pencil. 3 pens and 2 pencils cost ₹56 in all. What does one pencil cost (in ₹)?
  40. 40.Solve for x: 9(x + 6) = 3x + 138. What is x?

Answer key

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

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