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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 234 · 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 ₹2 more than a pencil. 4 pens and 4 pencils cost ₹152 in all. What does one pencil cost (in ₹)?
  2. 2.Solve for x: 7(x + 1) = 6x + 12. What is x?
  3. 3.8 × ? + 23 = 111
  4. 4.3 × ? + 22 = 43
  5. 5.3 × ? + 27 = 36
  6. 6.A pen costs ₹3 more than a pencil. 4 pens and 5 pencils cost ₹138 in all. What does one pencil cost (in ₹)?
  7. 7.Solve for x: 9(x + 9) = 2x + 214. What is x?
  8. 8.10 × ? + 17 = 147
  9. 9.The length of a rectangle is 3 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  10. 10.3 × ? − 3 = 18
  11. 11.Ananya has 14 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
  12. 12.Solve for x: 4(x + 9) = x + 54. What is x?
  13. 13.A pen costs ₹2 more than a pencil. 4 pens and 7 pencils cost ₹195 in all. What does one pencil cost (in ₹)?
  14. 14.A pen costs ₹13 more than a pencil. 2 pens and 5 pencils cost ₹131 in all. What does one pencil cost (in ₹)?
  15. 15.12 × ? + 22 = 322
  16. 16.I think of a number, multiply it by 2 and then take away 23. The answer is 15. What is my number?
  17. 17.I think of a number, multiply it by 2 and then take away 31. The answer is 29. What is my number?
  18. 18.6 × ? + 6 = 66
  19. 19.A pen costs ₹10 more than a pencil. 3 pens and 2 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  20. 20.Solve for x: 3(x + 7) = x + 49. What is x?
  21. 21.A pen costs ₹7 more than a pencil. 4 pens and 6 pencils cost ₹158 in all. What does one pencil cost (in ₹)?
  22. 22.Meera has 25 coins, all ₹5 and ₹2 coins, worth ₹110 in all. How many ₹5 coins are there?
  23. 23.8 × ? − 26 = 110
  24. 24.Solve for x: 3(x + 9) = x + 37. What is x?
  25. 25.Zoya has 20 coins, all ₹5 and ₹2 coins, worth ₹76 in all. How many ₹5 coins are there?
  26. 26.I think of a number, multiply it by 2 and then take away 15. The answer is 37. What is my number?
  27. 27.I think of a number, multiply it by 4 and then add 29. The answer is 49. What is my number?
  28. 28.A pen costs ₹2 more than a pencil. 2 pens and 4 pencils cost ₹94 in all. What does one pencil cost (in ₹)?
  29. 29.A pen costs ₹4 more than a pencil. 4 pens and 6 pencils cost ₹136 in all. What does one pencil cost (in ₹)?
  30. 30.4 × ? + 29 = 49
  31. 31.I think of a number, multiply it by 8 and then add 11. The answer is 139. What is my number?
  32. 32.Solve for x: 3(x + 5) = x + 45. What is x?
  33. 33.11 × ? + 28 = 182
  34. 34.6 × ? − 5 = 115
  35. 35.7 × ? − 12 = 37
  36. 36.The length of a rectangle is 12 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  37. 37.Kavya has 20 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  38. 38.Ishaan has 13 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  39. 39.Solve for x: 4(x + 5) = 3x + 27. What is x?
  40. 40.The length of a rectangle is 6 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?

Answer key

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

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