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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 117 · 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: 3(x + 8) = x + 28. What is x?
  2. 2.Solve for x: 3(x + 2) = x + 34. What is x?
  3. 3.A pen costs ₹8 more than a pencil. 3 pens and 6 pencils cost ₹51 in all. What does one pencil cost (in ₹)?
  4. 4.I think of a number, multiply it by 8 and then add 25. The answer is 217. What is my number?
  5. 5.12 × ? − 7 = 173
  6. 6.The length of a rectangle is 14 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  7. 7.I think of a number, multiply it by 2 and then add 39. The answer is 57. What is my number?
  8. 8.I think of a number, multiply it by 8 and then take away 9. The answer is 31. What is my number?
  9. 9.A pen costs ₹9 more than a pencil. 6 pens and 4 pencils cost ₹154 in all. What does one pencil cost (in ₹)?
  10. 10.A pen costs ₹3 more than a pencil. 2 pens and 6 pencils cost ₹30 in all. What does one pencil cost (in ₹)?
  11. 11.I think of a number, multiply it by 8 and then add 17. The answer is 81. What is my number?
  12. 12.I think of a number, multiply it by 4 and then add 8. The answer is 16. What is my number?
  13. 13.10 × ? + 21 = 71
  14. 14.A pen costs ₹4 more than a pencil. 5 pens and 6 pencils cost ₹240 in all. What does one pencil cost (in ₹)?
  15. 15.The length of a rectangle is 3 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  16. 16.The length of a rectangle is 10 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  17. 17.Solve for x: 4(x + 8) = 2x + 36. What is x?
  18. 18.The length of a rectangle is 2 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  19. 19.Zoya has 25 coins, all ₹5 and ₹2 coins, worth ₹92 in all. How many ₹5 coins are there?
  20. 20.10 × ? + 17 = 77
  21. 21.Ananya has 8 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  22. 22.I think of a number, multiply it by 2 and then add 9. The answer is 49. What is my number?
  23. 23.Dev has 24 coins, all ₹5 and ₹2 coins, worth ₹96 in all. How many ₹5 coins are there?
  24. 24.The length of a rectangle is 9 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  25. 25.Solve for x: 3(x + 2) = x + 16. What is x?
  26. 26.Solve for x: 9(x + 6) = 6x + 66. What is x?
  27. 27.Solve for x: 8(x + 9) = 6x + 108. What is x?
  28. 28.The length of a rectangle is 5 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  29. 29.9 × ? + 10 = 154
  30. 30.I think of a number, multiply it by 9 and then take away 35. The answer is 208. What is my number?
  31. 31.A pen costs ₹15 more than a pencil. 3 pens and 2 pencils cost ₹105 in all. What does one pencil cost (in ₹)?
  32. 32.11 × ? + 20 = 262
  33. 33.2 × ? + 16 = 42
  34. 34.The length of a rectangle is 2 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  35. 35.A pen costs ₹10 more than a pencil. 4 pens and 8 pencils cost ₹172 in all. What does one pencil cost (in ₹)?
  36. 36.The length of a rectangle is 15 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  37. 37.Sneha has 18 coins, all ₹5 and ₹2 coins, worth ₹87 in all. How many ₹5 coins are there?
  38. 38.Vivaan has 9 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  39. 39.A pen costs ₹15 more than a pencil. 6 pens and 2 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  40. 40.A pen costs ₹4 more than a pencil. 6 pens and 8 pencils cost ₹234 in all. What does one pencil cost (in ₹)?

Answer key

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

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