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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 594 · 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: 4(x + 5) = 3x + 25. What is x?
  2. 2.Arjun has 21 coins, all ₹5 and ₹2 coins, worth ₹99 in all. How many ₹5 coins are there?
  3. 3.2 × ? − 6 = 22
  4. 4.Solve for x: 3(x + 3) = 2x + 29. What is x?
  5. 5.4 × ? − 15 = 41
  6. 6.Kabir has 25 coins, all ₹5 and ₹2 coins, worth ₹89 in all. How many ₹5 coins are there?
  7. 7.A pen costs ₹14 more than a pencil. 3 pens and 6 pencils cost ₹204 in all. What does one pencil cost (in ₹)?
  8. 8.I think of a number, multiply it by 6 and then take away 11. The answer is 103. What is my number?
  9. 9.The length of a rectangle is 8 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  10. 10.A pen costs ₹2 more than a pencil. 2 pens and 3 pencils cost ₹44 in all. What does one pencil cost (in ₹)?
  11. 11.Dev has 24 coins, all ₹5 and ₹2 coins, worth ₹105 in all. How many ₹5 coins are there?
  12. 12.I think of a number, multiply it by 6 and then add 23. The answer is 107. What is my number?
  13. 13.Solve for x: 5(x + 4) = 2x + 41. What is x?
  14. 14.The length of a rectangle is 4 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  15. 15.A pen costs ₹4 more than a pencil. 3 pens and 3 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  16. 16.The length of a rectangle is 12 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  17. 17.A pen costs ₹2 more than a pencil. 2 pens and 2 pencils cost ₹40 in all. What does one pencil cost (in ₹)?
  18. 18.Aarav has 18 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  19. 19.Tara has 24 coins, all ₹5 and ₹2 coins, worth ₹114 in all. How many ₹5 coins are there?
  20. 20.10 × ? + 27 = 97
  21. 21.9 × ? − 3 = 168
  22. 22.A pen costs ₹5 more than a pencil. 2 pens and 5 pencils cost ₹66 in all. What does one pencil cost (in ₹)?
  23. 23.6 × ? − 15 = 105
  24. 24.The length of a rectangle is 3 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  25. 25.I think of a number, multiply it by 2 and then add 29. The answer is 49. What is my number?
  26. 26.I think of a number, multiply it by 5 and then add 9. The answer is 94. What is my number?
  27. 27.A pen costs ₹5 more than a pencil. 2 pens and 5 pencils cost ₹150 in all. What does one pencil cost (in ₹)?
  28. 28.2 × ? − 19 = 25
  29. 29.I think of a number, multiply it by 7 and then take away 9. The answer is 33. What is my number?
  30. 30.The length of a rectangle is 13 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  31. 31.A pen costs ₹3 more than a pencil. 3 pens and 7 pencils cost ₹109 in all. What does one pencil cost (in ₹)?
  32. 32.Solve for x: 3(x + 9) = 2x + 47. What is x?
  33. 33.The length of a rectangle is 4 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  34. 34.4 × ? + 17 = 25
  35. 35.The length of a rectangle is 8 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  36. 36.I think of a number, multiply it by 5 and then add 14. The answer is 64. What is my number?
  37. 37.The length of a rectangle is 7 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  38. 38.A pen costs ₹2 more than a pencil. 6 pens and 8 pencils cost ₹194 in all. What does one pencil cost (in ₹)?
  39. 39.11 × ? − 7 = 15
  40. 40.Solve for x: 7(x + 4) = 3x + 72. What is x?

Answer key

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

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