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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 456 · 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: 8(x + 4) = 2x + 146. What is x?
  2. 2.The length of a rectangle is 12 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  3. 3.8 × ? + 25 = 209
  4. 4.11 × ? + 18 = 271
  5. 5.I think of a number, multiply it by 3 and then take away 37. The answer is 20. What is my number?
  6. 6.I think of a number, multiply it by 8 and then take away 11. The answer is 109. What is my number?
  7. 7.The length of a rectangle is 15 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  8. 8.The length of a rectangle is 12 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  9. 9.Solve for x: 4(x + 5) = 3x + 30. What is x?
  10. 10.12 × ? + 23 = 71
  11. 11.Solve for x: 4(x + 5) = 2x + 32. What is x?
  12. 12.A pen costs ₹14 more than a pencil. 2 pens and 4 pencils cost ₹64 in all. What does one pencil cost (in ₹)?
  13. 13.I think of a number, multiply it by 3 and then add 27. The answer is 42. What is my number?
  14. 14.Rohan has 10 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  15. 15.I think of a number, multiply it by 3 and then add 32. The answer is 44. What is my number?
  16. 16.I think of a number, multiply it by 8 and then add 11. The answer is 211. What is my number?
  17. 17.5 × ? + 2 = 42
  18. 18.10 × ? − 4 = 226
  19. 19.A pen costs ₹2 more than a pencil. 2 pens and 6 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  20. 20.A pen costs ₹12 more than a pencil. 2 pens and 7 pencils cost ₹168 in all. What does one pencil cost (in ₹)?
  21. 21.A pen costs ₹13 more than a pencil. 2 pens and 2 pencils cost ₹98 in all. What does one pencil cost (in ₹)?
  22. 22.Aarav has 26 coins, all ₹5 and ₹2 coins, worth ₹118 in all. How many ₹5 coins are there?
  23. 23.A pen costs ₹3 more than a pencil. 6 pens and 6 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  24. 24.Solve for x: 3(x + 2) = 2x + 19. What is x?
  25. 25.A pen costs ₹2 more than a pencil. 4 pens and 8 pencils cost ₹116 in all. What does one pencil cost (in ₹)?
  26. 26.Solve for x: 7(x + 6) = 3x + 118. What is x?
  27. 27.Isha has 11 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  28. 28.The length of a rectangle is 9 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  29. 29.I think of a number, multiply it by 8 and then add 25. The answer is 177. What is my number?
  30. 30.Tara has 11 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  31. 31.I think of a number, multiply it by 7 and then add 24. The answer is 38. What is my number?
  32. 32.10 × ? − 29 = 71
  33. 33.Rahul has 27 coins, all ₹5 and ₹2 coins, worth ₹78 in all. How many ₹5 coins are there?
  34. 34.I think of a number, multiply it by 8 and then add 15. The answer is 79. What is my number?
  35. 35.10 × ? + 26 = 226
  36. 36.Solve for x: 4(x + 6) = 2x + 28. What is x?
  37. 37.A pen costs ₹12 more than a pencil. 4 pens and 2 pencils cost ₹150 in all. What does one pencil cost (in ₹)?
  38. 38.The length of a rectangle is 15 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  39. 39.I think of a number, multiply it by 5 and then add 6. The answer is 26. What is my number?
  40. 40.A pen costs ₹2 more than a pencil. 5 pens and 4 pencils cost ₹55 in all. What does one pencil cost (in ₹)?

Answer key

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

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