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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 661 · 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.The length of a rectangle is 7 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  2. 2.Solve for x: 7(x + 7) = 5x + 79. What is x?
  3. 3.7 × ? + 28 = 203
  4. 4.A pen costs ₹15 more than a pencil. 2 pens and 6 pencils cost ₹118 in all. What does one pencil cost (in ₹)?
  5. 5.I think of a number, multiply it by 2 and then add 12. The answer is 64. What is my number?
  6. 6.Nisha has 18 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  7. 7.Dev has 8 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  8. 8.Solve for x: 6(x + 4) = 5x + 34. What is x?
  9. 9.Kabir has 10 coins, all ₹5 and ₹2 coins, worth ₹26 in all. How many ₹5 coins are there?
  10. 10.I think of a number, multiply it by 5 and then add 6. The answer is 86. What is my number?
  11. 11.Solve for x: 4(x + 3) = 2x + 24. What is x?
  12. 12.A pen costs ₹7 more than a pencil. 6 pens and 5 pencils cost ₹130 in all. What does one pencil cost (in ₹)?
  13. 13.The length of a rectangle is 3 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  14. 14.I think of a number, multiply it by 9 and then take away 4. The answer is 32. What is my number?
  15. 15.A pen costs ₹7 more than a pencil. 4 pens and 6 pencils cost ₹158 in all. What does one pencil cost (in ₹)?
  16. 16.A pen costs ₹6 more than a pencil. 4 pens and 6 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  17. 17.The length of a rectangle is 2 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  18. 18.8 × ? − 15 = 57
  19. 19.I think of a number, multiply it by 4 and then add 39. The answer is 99. What is my number?
  20. 20.The length of a rectangle is 11 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  21. 21.A pen costs ₹8 more than a pencil. 5 pens and 6 pencils cost ₹194 in all. What does one pencil cost (in ₹)?
  22. 22.A pen costs ₹7 more than a pencil. 5 pens and 8 pencils cost ₹217 in all. What does one pencil cost (in ₹)?
  23. 23.3 × ? + 8 = 53
  24. 24.A pen costs ₹9 more than a pencil. 5 pens and 8 pencils cost ₹149 in all. What does one pencil cost (in ₹)?
  25. 25.Solve for x: 5(x + 9) = 3x + 59. What is x?
  26. 26.Solve for x: 4(x + 8) = x + 71. What is x?
  27. 27.Solve for x: 5(x + 1) = x + 33. What is x?
  28. 28.11 × ? + 18 = 293
  29. 29.Solve for x: 5(x + 2) = 4x + 23. What is x?
  30. 30.10 × ? − 22 = 178
  31. 31.4 × ? + 19 = 119
  32. 32.A pen costs ₹2 more than a pencil. 2 pens and 5 pencils cost ₹130 in all. What does one pencil cost (in ₹)?
  33. 33.The length of a rectangle is 2 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  34. 34.Solve for x: 6(x + 1) = 2x + 26. What is x?
  35. 35.10 × ? + 21 = 221
  36. 36.I think of a number, multiply it by 6 and then take away 16. The answer is 164. What is my number?
  37. 37.I think of a number, multiply it by 2 and then add 38. The answer is 58. What is my number?
  38. 38.A pen costs ₹11 more than a pencil. 3 pens and 6 pencils cost ₹141 in all. What does one pencil cost (in ₹)?
  39. 39.A pen costs ₹4 more than a pencil. 4 pens and 4 pencils cost ₹112 in all. What does one pencil cost (in ₹)?
  40. 40.Isha has 22 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?

Answer key

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

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