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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 120 · 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.Solve for x: 7(x + 7) = x + 79. What is x?
  2. 2.I think of a number, multiply it by 9 and then take away 38. The answer is 214. What is my number?
  3. 3.I think of a number, multiply it by 8 and then add 28. The answer is 108. What is my number?
  4. 4.A pen costs ₹9 more than a pencil. 2 pens and 5 pencils cost ₹158 in all. What does one pencil cost (in ₹)?
  5. 5.A pen costs ₹10 more than a pencil. 4 pens and 6 pencils cost ₹210 in all. What does one pencil cost (in ₹)?
  6. 6.7 × ? − 9 = 12
  7. 7.Aditya has 27 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  8. 8.2 × ? + 18 = 28
  9. 9.A pen costs ₹3 more than a pencil. 3 pens and 4 pencils cost ₹30 in all. What does one pencil cost (in ₹)?
  10. 10.Meera has 30 coins, all ₹5 and ₹2 coins, worth ₹111 in all. How many ₹5 coins are there?
  11. 11.Solve for x: 7(x + 4) = 6x + 34. What is x?
  12. 12.I think of a number, multiply it by 6 and then take away 18. The answer is 42. What is my number?
  13. 13.Solve for x: 7(x + 8) = 3x + 116. What is x?
  14. 14.5 × ? − 20 = 45
  15. 15.I think of a number, multiply it by 8 and then add 18. The answer is 50. What is my number?
  16. 16.A pen costs ₹7 more than a pencil. 3 pens and 5 pencils cost ₹77 in all. What does one pencil cost (in ₹)?
  17. 17.I think of a number, multiply it by 2 and then add 25. The answer is 55. What is my number?
  18. 18.A pen costs ₹9 more than a pencil. 2 pens and 3 pencils cost ₹53 in all. What does one pencil cost (in ₹)?
  19. 19.I think of a number, multiply it by 2 and then add 4. The answer is 14. What is my number?
  20. 20.2 × ? + 1 = 31
  21. 21.Solve for x: 9(x + 2) = x + 98. What is x?
  22. 22.Solve for x: 4(x + 2) = x + 17. What is x?
  23. 23.I think of a number, multiply it by 5 and then add 25. The answer is 155. What is my number?
  24. 24.Dev has 11 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
  25. 25.Solve for x: 7(x + 6) = 2x + 82. What is x?
  26. 26.2 × ? + 13 = 31
  27. 27.A pen costs ₹3 more than a pencil. 5 pens and 5 pencils cost ₹95 in all. What does one pencil cost (in ₹)?
  28. 28.3 × ? + 27 = 39
  29. 29.2 × ? − 5 = 37
  30. 30.Isha has 21 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?
  31. 31.Isha has 8 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  32. 32.Solve for x: 8(x + 7) = 6x + 88. What is x?
  33. 33.3 × ? + 3 = 72
  34. 34.The length of a rectangle is 6 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  35. 35.Arjun has 8 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  36. 36.A pen costs ₹8 more than a pencil. 6 pens and 8 pencils cost ₹286 in all. What does one pencil cost (in ₹)?
  37. 37.I think of a number, multiply it by 6 and then take away 21. The answer is 111. What is my number?
  38. 38.A pen costs ₹11 more than a pencil. 6 pens and 4 pencils cost ₹166 in all. What does one pencil cost (in ₹)?
  39. 39.The length of a rectangle is 6 m more than its breadth. Its perimeter is 132 m. What is its breadth (in m)?
  40. 40.Meera has 14 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?

Answer key

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

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