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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 455 · 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 + 4) = 5x + 52. What is x?
  2. 2.I think of a number, multiply it by 2 and then add 13. The answer is 69. What is my number?
  3. 3.Solve for x: 3(x + 6) = 2x + 23. What is x?
  4. 4.The length of a rectangle is 6 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  5. 5.A pen costs ₹11 more than a pencil. 2 pens and 3 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
  6. 6.A pen costs ₹12 more than a pencil. 4 pens and 6 pencils cost ₹208 in all. What does one pencil cost (in ₹)?
  7. 7.8 × ? + 18 = 82
  8. 8.6 × ? − 4 = 38
  9. 9.A pen costs ₹11 more than a pencil. 5 pens and 8 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  10. 10.Diya has 12 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  11. 11.I think of a number, multiply it by 8 and then add 40. The answer is 88. What is my number?
  12. 12.A pen costs ₹13 more than a pencil. 3 pens and 4 pencils cost ₹151 in all. What does one pencil cost (in ₹)?
  13. 13.A pen costs ₹9 more than a pencil. 2 pens and 7 pencils cost ₹180 in all. What does one pencil cost (in ₹)?
  14. 14.The length of a rectangle is 12 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  15. 15.12 × ? − 13 = 71
  16. 16.The length of a rectangle is 11 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  17. 17.Aditya has 16 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  18. 18.A pen costs ₹8 more than a pencil. 5 pens and 6 pencils cost ₹161 in all. What does one pencil cost (in ₹)?
  19. 19.I think of a number, multiply it by 9 and then add 32. The answer is 302. What is my number?
  20. 20.12 × ? + 16 = 184
  21. 21.Solve for x: 6(x + 1) = 2x + 66. What is x?
  22. 22.Diya has 29 coins, all ₹5 and ₹2 coins, worth ₹73 in all. How many ₹5 coins are there?
  23. 23.I think of a number, multiply it by 9 and then take away 1. The answer is 44. What is my number?
  24. 24.I think of a number, multiply it by 7 and then add 25. The answer is 165. What is my number?
  25. 25.12 × ? + 4 = 208
  26. 26.A pen costs ₹10 more than a pencil. 5 pens and 7 pencils cost ₹158 in all. What does one pencil cost (in ₹)?
  27. 27.Rahul has 14 coins, all ₹5 and ₹2 coins, worth ₹58 in all. How many ₹5 coins are there?
  28. 28.3 × ? − 2 = 61
  29. 29.A pen costs ₹3 more than a pencil. 6 pens and 6 pencils cost ₹198 in all. What does one pencil cost (in ₹)?
  30. 30.The length of a rectangle is 9 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  31. 31.Diya has 22 coins, all ₹5 and ₹2 coins, worth ₹68 in all. How many ₹5 coins are there?
  32. 32.Farhan has 9 coins, all ₹5 and ₹2 coins, worth ₹30 in all. How many ₹5 coins are there?
  33. 33.Ishaan has 16 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  34. 34.A pen costs ₹5 more than a pencil. 6 pens and 5 pencils cost ₹228 in all. What does one pencil cost (in ₹)?
  35. 35.Arjun has 9 coins, all ₹5 and ₹2 coins, worth ₹24 in all. How many ₹5 coins are there?
  36. 36.The length of a rectangle is 4 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  37. 37.3 × ? − 21 = 12
  38. 38.Solve for x: 3(x + 2) = x + 10. What is x?
  39. 39.Priya has 18 coins, all ₹5 and ₹2 coins, worth ₹78 in all. How many ₹5 coins are there?
  40. 40.A pen costs ₹12 more than a pencil. 2 pens and 8 pencils cost ₹114 in all. What does one pencil cost (in ₹)?

Answer key

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

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