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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 540 · 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 3 and then take away 26. The answer is 22. What is my number?
  2. 2.Solve for x: 7(x + 1) = x + 67. What is x?
  3. 3.A pen costs ₹7 more than a pencil. 6 pens and 4 pencils cost ₹162 in all. What does one pencil cost (in ₹)?
  4. 4.I think of a number, multiply it by 3 and then take away 19. The answer is 47. What is my number?
  5. 5.Vivaan has 13 coins, all ₹5 and ₹2 coins, worth ₹32 in all. How many ₹5 coins are there?
  6. 6.A pen costs ₹12 more than a pencil. 3 pens and 2 pencils cost ₹61 in all. What does one pencil cost (in ₹)?
  7. 7.A pen costs ₹6 more than a pencil. 6 pens and 5 pencils cost ₹234 in all. What does one pencil cost (in ₹)?
  8. 8.Arjun has 18 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  9. 9.I think of a number, multiply it by 7 and then add 18. The answer is 116. What is my number?
  10. 10.Solve for x: 8(x + 1) = 7x + 10. What is x?
  11. 11.4 × ? + 30 = 42
  12. 12.2 × ? + 17 = 51
  13. 13.A pen costs ₹11 more than a pencil. 5 pens and 6 pencils cost ₹275 in all. What does one pencil cost (in ₹)?
  14. 14.Solve for x: 7(x + 5) = 5x + 69. What is x?
  15. 15.A pen costs ₹10 more than a pencil. 2 pens and 4 pencils cost ₹44 in all. What does one pencil cost (in ₹)?
  16. 16.I think of a number, multiply it by 6 and then add 13. The answer is 175. What is my number?
  17. 17.8 × ? − 17 = 167
  18. 18.A pen costs ₹14 more than a pencil. 2 pens and 4 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  19. 19.Solve for x: 9(x + 2) = 8x + 36. What is x?
  20. 20.I think of a number, multiply it by 3 and then add 29. The answer is 113. What is my number?
  21. 21.The length of a rectangle is 14 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  22. 22.The length of a rectangle is 7 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  23. 23.7 × ? + 14 = 28
  24. 24.I think of a number, multiply it by 8 and then take away 13. The answer is 123. What is my number?
  25. 25.Solve for x: 7(x + 4) = x + 124. What is x?
  26. 26.I think of a number, multiply it by 8 and then add 25. The answer is 225. What is my number?
  27. 27.I think of a number, multiply it by 5 and then take away 31. The answer is 19. What is my number?
  28. 28.A pen costs ₹2 more than a pencil. 5 pens and 4 pencils cost ₹127 in all. What does one pencil cost (in ₹)?
  29. 29.Solve for x: 5(x + 9) = 2x + 99. What is x?
  30. 30.A pen costs ₹14 more than a pencil. 2 pens and 7 pencils cost ₹172 in all. What does one pencil cost (in ₹)?
  31. 31.A pen costs ₹11 more than a pencil. 5 pens and 3 pencils cost ₹215 in all. What does one pencil cost (in ₹)?
  32. 32.The length of a rectangle is 15 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  33. 33.Solve for x: 5(x + 3) = x + 55. What is x?
  34. 34.I think of a number, multiply it by 9 and then add 5. The answer is 104. What is my number?
  35. 35.Solve for x: 7(x + 2) = x + 80. What is x?
  36. 36.5 × ? − 2 = 48
  37. 37.Pooja has 13 coins, all ₹5 and ₹2 coins, worth ₹29 in all. How many ₹5 coins are there?
  38. 38.11 × ? − 15 = 227
  39. 39.The length of a rectangle is 10 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  40. 40.I think of a number, multiply it by 4 and then take away 20. The answer is 28. What is my number?

Answer key

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

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