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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 40 · 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 ₹7 more than a pencil. 6 pens and 6 pencils cost ₹258 in all. What does one pencil cost (in ₹)?
  2. 2.Solve for x: 8(x + 1) = 6x + 10. What is x?
  3. 3.A pen costs ₹4 more than a pencil. 6 pens and 8 pencils cost ₹164 in all. What does one pencil cost (in ₹)?
  4. 4.A pen costs ₹6 more than a pencil. 2 pens and 4 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
  5. 5.Solve for x: 8(x + 2) = x + 142. What is x?
  6. 6.The length of a rectangle is 12 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  7. 7.Ishaan has 21 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  8. 8.The length of a rectangle is 10 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  9. 9.I think of a number, multiply it by 9 and then add 35. The answer is 179. What is my number?
  10. 10.I think of a number, multiply it by 9 and then add 39. The answer is 210. What is my number?
  11. 11.I think of a number, multiply it by 5 and then add 1. The answer is 41. What is my number?
  12. 12.I think of a number, multiply it by 2 and then add 35. The answer is 79. What is my number?
  13. 13.Solve for x: 5(x + 6) = 2x + 57. What is x?
  14. 14.I think of a number, multiply it by 8 and then add 38. The answer is 270. What is my number?
  15. 15.I think of a number, multiply it by 4 and then take away 40. The answer is 52. What is my number?
  16. 16.I think of a number, multiply it by 8 and then add 30. The answer is 182. What is my number?
  17. 17.Solve for x: 7(x + 7) = 5x + 73. What is x?
  18. 18.I think of a number, multiply it by 8 and then add 18. The answer is 106. What is my number?
  19. 19.Solve for x: 9(x + 5) = 2x + 73. What is x?
  20. 20.3 × ? − 18 = 36
  21. 21.A pen costs ₹15 more than a pencil. 6 pens and 8 pencils cost ₹342 in all. What does one pencil cost (in ₹)?
  22. 22.I think of a number, multiply it by 7 and then add 38. The answer is 241. What is my number?
  23. 23.Solve for x: 8(x + 2) = 4x + 28. What is x?
  24. 24.I think of a number, multiply it by 2 and then take away 23. The answer is 21. What is my number?
  25. 25.Kabir has 10 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  26. 26.A pen costs ₹9 more than a pencil. 3 pens and 7 pencils cost ₹197 in all. What does one pencil cost (in ₹)?
  27. 27.A pen costs ₹4 more than a pencil. 6 pens and 8 pencils cost ₹262 in all. What does one pencil cost (in ₹)?
  28. 28.Solve for x: 6(x + 2) = 5x + 19. What is x?
  29. 29.A pen costs ₹4 more than a pencil. 2 pens and 4 pencils cost ₹122 in all. What does one pencil cost (in ₹)?
  30. 30.Solve for x: 3(x + 2) = 2x + 12. What is x?
  31. 31.Diya has 26 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  32. 32.I think of a number, multiply it by 6 and then take away 22. The answer is 110. What is my number?
  33. 33.I think of a number, multiply it by 5 and then take away 32. The answer is 13. What is my number?
  34. 34.I think of a number, multiply it by 4 and then add 13. The answer is 113. What is my number?
  35. 35.The length of a rectangle is 4 m more than its breadth. Its perimeter is 28 m. What is its breadth (in m)?
  36. 36.Solve for x: 6(x + 1) = 2x + 54. What is x?
  37. 37.10 × ? − 23 = 87
  38. 38.Solve for x: 8(x + 9) = x + 170. What is x?
  39. 39.I think of a number, multiply it by 9 and then take away 16. The answer is 146. What is my number?
  40. 40.Solve for x: 5(x + 2) = 4x + 14. What is x?

Answer key

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

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