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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 762 · 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: 6(x + 7) = 2x + 98. What is x?
  2. 2.Solve for x: 6(x + 3) = 5x + 29. What is x?
  3. 3.I think of a number, multiply it by 5 and then add 40. The answer is 110. What is my number?
  4. 4.I think of a number, multiply it by 9 and then take away 6. The answer is 183. What is my number?
  5. 5.A pen costs ₹3 more than a pencil. 2 pens and 6 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  6. 6.Vivaan has 20 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  7. 7.I think of a number, multiply it by 9 and then add 40. The answer is 175. What is my number?
  8. 8.I think of a number, multiply it by 6 and then add 21. The answer is 39. What is my number?
  9. 9.A pen costs ₹7 more than a pencil. 2 pens and 2 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  10. 10.A pen costs ₹7 more than a pencil. 5 pens and 8 pencils cost ₹191 in all. What does one pencil cost (in ₹)?
  11. 11.The length of a rectangle is 10 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  12. 12.A pen costs ₹5 more than a pencil. 5 pens and 3 pencils cost ₹97 in all. What does one pencil cost (in ₹)?
  13. 13.I think of a number, multiply it by 6 and then add 11. The answer is 35. What is my number?
  14. 14.Solve for x: 4(x + 8) = 2x + 58. What is x?
  15. 15.The length of a rectangle is 9 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  16. 16.Ishaan has 9 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  17. 17.Ishaan has 20 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  18. 18.I think of a number, multiply it by 7 and then take away 36. The answer is 41. What is my number?
  19. 19.A pen costs ₹15 more than a pencil. 6 pens and 8 pencils cost ₹258 in all. What does one pencil cost (in ₹)?
  20. 20.Solve for x: 6(x + 8) = 2x + 104. What is x?
  21. 21.Solve for x: 3(x + 3) = 2x + 12. What is x?
  22. 22.I think of a number, multiply it by 3 and then add 3. The answer is 15. What is my number?
  23. 23.Solve for x: 7(x + 1) = 5x + 43. What is x?
  24. 24.A pen costs ₹10 more than a pencil. 4 pens and 5 pencils cost ₹220 in all. What does one pencil cost (in ₹)?
  25. 25.Solve for x: 5(x + 5) = 2x + 49. What is x?
  26. 26.I think of a number, multiply it by 2 and then add 31. The answer is 49. What is my number?
  27. 27.A pen costs ₹12 more than a pencil. 5 pens and 8 pencils cost ₹320 in all. What does one pencil cost (in ₹)?
  28. 28.I think of a number, multiply it by 3 and then take away 5. The answer is 73. What is my number?
  29. 29.Solve for x: 4(x + 8) = 3x + 48. What is x?
  30. 30.Diya has 10 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  31. 31.A pen costs ₹4 more than a pencil. 4 pens and 6 pencils cost ₹156 in all. What does one pencil cost (in ₹)?
  32. 32.Aarav has 27 coins, all ₹5 and ₹2 coins, worth ₹102 in all. How many ₹5 coins are there?
  33. 33.Kabir has 8 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  34. 34.I think of a number, multiply it by 6 and then add 38. The answer is 98. What is my number?
  35. 35.4 × ? − 13 = 67
  36. 36.10 × ? + 7 = 217
  37. 37.Solve for x: 6(x + 6) = 5x + 51. What is x?
  38. 38.Solve for x: 4(x + 8) = 2x + 50. What is x?
  39. 39.I think of a number, multiply it by 7 and then take away 1. The answer is 27. What is my number?
  40. 40.I think of a number, multiply it by 9 and then take away 11. The answer is 160. What is my number?

Answer key

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

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