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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 560 · 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: 6(x + 8) = 2x + 124. What is x?
  2. 2.Solve for x: 3(x + 8) = x + 56. What is x?
  3. 3.Nisha has 18 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?
  4. 4.A pen costs ₹13 more than a pencil. 6 pens and 7 pencils cost ₹338 in all. What does one pencil cost (in ₹)?
  5. 5.Manav has 24 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  6. 6.Solve for x: 3(x + 9) = 2x + 30. What is x?
  7. 7.I think of a number, multiply it by 6 and then take away 7. The answer is 35. What is my number?
  8. 8.Solve for x: 7(x + 4) = 5x + 52. What is x?
  9. 9.8 × ? + 2 = 50
  10. 10.The length of a rectangle is 10 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  11. 11.4 × ? − 23 = 65
  12. 12.Solve for x: 5(x + 9) = 4x + 53. What is x?
  13. 13.The length of a rectangle is 12 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  14. 14.A pen costs ₹14 more than a pencil. 5 pens and 8 pencils cost ₹317 in all. What does one pencil cost (in ₹)?
  15. 15.Solve for x: 6(x + 8) = x + 118. What is x?
  16. 16.3 × ? − 8 = 19
  17. 17.I think of a number, multiply it by 5 and then add 23. The answer is 173. What is my number?
  18. 18.Solve for x: 5(x + 5) = 4x + 30. What is x?
  19. 19.A pen costs ₹13 more than a pencil. 5 pens and 8 pencils cost ₹182 in all. What does one pencil cost (in ₹)?
  20. 20.A pen costs ₹2 more than a pencil. 6 pens and 7 pencils cost ₹246 in all. What does one pencil cost (in ₹)?
  21. 21.Meera has 11 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  22. 22.Rohan has 8 coins, all ₹5 and ₹2 coins, worth ₹19 in all. How many ₹5 coins are there?
  23. 23.A pen costs ₹4 more than a pencil. 6 pens and 4 pencils cost ₹94 in all. What does one pencil cost (in ₹)?
  24. 24.A pen costs ₹7 more than a pencil. 4 pens and 4 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  25. 25.A pen costs ₹4 more than a pencil. 6 pens and 7 pencils cost ₹89 in all. What does one pencil cost (in ₹)?
  26. 26.I think of a number, multiply it by 7 and then take away 28. The answer is 105. What is my number?
  27. 27.Solve for x: 5(x + 8) = x + 52. What is x?
  28. 28.The length of a rectangle is 5 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  29. 29.Solve for x: 4(x + 5) = 2x + 26. What is x?
  30. 30.3 × ? + 26 = 65
  31. 31.Solve for x: 3(x + 7) = 2x + 23. What is x?
  32. 32.The length of a rectangle is 7 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  33. 33.A pen costs ₹10 more than a pencil. 3 pens and 2 pencils cost ₹105 in all. What does one pencil cost (in ₹)?
  34. 34.Solve for x: 4(x + 8) = 3x + 36. What is x?
  35. 35.The length of a rectangle is 3 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  36. 36.I think of a number, multiply it by 4 and then take away 27. The answer is 41. What is my number?
  37. 37.The length of a rectangle is 6 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  38. 38.A pen costs ₹2 more than a pencil. 3 pens and 8 pencils cost ₹226 in all. What does one pencil cost (in ₹)?
  39. 39.I think of a number, multiply it by 5 and then take away 3. The answer is 112. What is my number?
  40. 40.12 × ? − 27 = 93

Answer key

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

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