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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 418 · 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 + 46. What is x?
  2. 2.A pen costs ₹15 more than a pencil. 4 pens and 8 pencils cost ₹276 in all. What does one pencil cost (in ₹)?
  3. 3.8 × ? + 22 = 70
  4. 4.The length of a rectangle is 4 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  5. 5.5 × ? − 11 = 39
  6. 6.2 × ? + 26 = 52
  7. 7.Solve for x: 9(x + 1) = 8x + 13. What is x?
  8. 8.I think of a number, multiply it by 3 and then take away 17. The answer is 4. What is my number?
  9. 9.Solve for x: 7(x + 2) = 3x + 62. What is x?
  10. 10.Nisha has 10 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  11. 11.A pen costs ₹5 more than a pencil. 6 pens and 2 pencils cost ₹86 in all. What does one pencil cost (in ₹)?
  12. 12.2 × ? + 17 = 55
  13. 13.I think of a number, multiply it by 4 and then take away 17. The answer is 23. What is my number?
  14. 14.Solve for x: 3(x + 5) = x + 23. What is x?
  15. 15.A pen costs ₹12 more than a pencil. 2 pens and 3 pencils cost ₹109 in all. What does one pencil cost (in ₹)?
  16. 16.A pen costs ₹6 more than a pencil. 2 pens and 3 pencils cost ₹27 in all. What does one pencil cost (in ₹)?
  17. 17.Solve for x: 4(x + 4) = 3x + 36. What is x?
  18. 18.Solve for x: 8(x + 2) = 3x + 61. What is x?
  19. 19.Rohan has 17 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  20. 20.Rohan has 14 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  21. 21.I think of a number, multiply it by 2 and then add 21. The answer is 59. What is my number?
  22. 22.A pen costs ₹4 more than a pencil. 3 pens and 7 pencils cost ₹192 in all. What does one pencil cost (in ₹)?
  23. 23.The length of a rectangle is 2 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  24. 24.A pen costs ₹5 more than a pencil. 4 pens and 5 pencils cost ₹200 in all. What does one pencil cost (in ₹)?
  25. 25.I think of a number, multiply it by 5 and then take away 39. The answer is 56. What is my number?
  26. 26.A pen costs ₹8 more than a pencil. 4 pens and 4 pencils cost ₹112 in all. What does one pencil cost (in ₹)?
  27. 27.I think of a number, multiply it by 5 and then add 11. The answer is 21. What is my number?
  28. 28.Solve for x: 9(x + 8) = 3x + 144. What is x?
  29. 29.The length of a rectangle is 14 m more than its breadth. Its perimeter is 136 m. What is its breadth (in m)?
  30. 30.Solve for x: 9(x + 2) = x + 90. What is x?
  31. 31.7 × ? − 1 = 97
  32. 32.The length of a rectangle is 8 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  33. 33.A pen costs ₹7 more than a pencil. 5 pens and 4 pencils cost ₹62 in all. What does one pencil cost (in ₹)?
  34. 34.8 × ? + 6 = 150
  35. 35.The length of a rectangle is 9 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  36. 36.I think of a number, multiply it by 4 and then take away 4. The answer is 36. What is my number?
  37. 37.A pen costs ₹5 more than a pencil. 4 pens and 5 pencils cost ₹137 in all. What does one pencil cost (in ₹)?
  38. 38.Rahul has 27 coins, all ₹5 and ₹2 coins, worth ₹81 in all. How many ₹5 coins are there?
  39. 39.Solve for x: 3(x + 1) = 2x + 8. What is x?
  40. 40.A pen costs ₹9 more than a pencil. 6 pens and 4 pencils cost ₹124 in all. What does one pencil cost (in ₹)?

Answer key

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

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