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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 196 · 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 5 and then add 40. The answer is 85. What is my number?
  2. 2.The length of a rectangle is 11 m more than its breadth. Its perimeter is 138 m. What is its breadth (in m)?
  3. 3.The length of a rectangle is 4 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  4. 4.I think of a number, multiply it by 3 and then take away 32. The answer is 52. What is my number?
  5. 5.Solve for x: 7(x + 3) = 5x + 23. What is x?
  6. 6.Arjun has 9 coins, all ₹5 and ₹2 coins, worth ₹24 in all. How many ₹5 coins are there?
  7. 7.A pen costs ₹12 more than a pencil. 2 pens and 4 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  8. 8.Solve for x: 3(x + 1) = x + 27. What is x?
  9. 9.Solve for x: 6(x + 3) = 5x + 35. What is x?
  10. 10.9 × ? − 29 = 16
  11. 11.A pen costs ₹9 more than a pencil. 6 pens and 4 pencils cost ₹184 in all. What does one pencil cost (in ₹)?
  12. 12.A pen costs ₹4 more than a pencil. 6 pens and 3 pencils cost ₹204 in all. What does one pencil cost (in ₹)?
  13. 13.I think of a number, multiply it by 9 and then add 11. The answer is 254. What is my number?
  14. 14.The length of a rectangle is 3 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  15. 15.Tara has 10 coins, all ₹5 and ₹2 coins, worth ₹26 in all. How many ₹5 coins are there?
  16. 16.The length of a rectangle is 6 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  17. 17.Solve for x: 7(x + 1) = 6x + 20. What is x?
  18. 18.Rohan has 21 coins, all ₹5 and ₹2 coins, worth ₹102 in all. How many ₹5 coins are there?
  19. 19.I think of a number, multiply it by 7 and then take away 38. The answer is 11. What is my number?
  20. 20.I think of a number, multiply it by 8 and then take away 1. The answer is 23. What is my number?
  21. 21.I think of a number, multiply it by 7 and then take away 36. The answer is 34. What is my number?
  22. 22.A pen costs ₹5 more than a pencil. 2 pens and 8 pencils cost ₹110 in all. What does one pencil cost (in ₹)?
  23. 23.A pen costs ₹12 more than a pencil. 6 pens and 6 pencils cost ₹288 in all. What does one pencil cost (in ₹)?
  24. 24.I think of a number, multiply it by 9 and then add 7. The answer is 214. What is my number?
  25. 25.Nisha has 8 coins, all ₹5 and ₹2 coins, worth ₹22 in all. How many ₹5 coins are there?
  26. 26.A pen costs ₹12 more than a pencil. 4 pens and 3 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  27. 27.The length of a rectangle is 15 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  28. 28.I think of a number, multiply it by 4 and then add 22. The answer is 122. What is my number?
  29. 29.Solve for x: 4(x + 5) = x + 68. What is x?
  30. 30.The length of a rectangle is 3 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  31. 31.2 × ? − 11 = 27
  32. 32.Solve for x: 6(x + 8) = 4x + 64. What is x?
  33. 33.3 × ? + 8 = 47
  34. 34.A pen costs ₹14 more than a pencil. 2 pens and 4 pencils cost ₹142 in all. What does one pencil cost (in ₹)?
  35. 35.10 × ? − 22 = 68
  36. 36.Solve for x: 4(x + 1) = x + 40. What is x?
  37. 37.A pen costs ₹10 more than a pencil. 4 pens and 4 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  38. 38.11 × ? − 27 = 39
  39. 39.A pen costs ₹14 more than a pencil. 3 pens and 6 pencils cost ₹105 in all. What does one pencil cost (in ₹)?
  40. 40.3 × ? − 21 = 36

Answer key

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

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