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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 452 · 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.I think of a number, multiply it by 6 and then take away 2. The answer is 28. What is my number?
  2. 2.Solve for x: 7(x + 6) = 4x + 48. What is x?
  3. 3.A pen costs ₹2 more than a pencil. 3 pens and 3 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  4. 4.A pen costs ₹11 more than a pencil. 6 pens and 3 pencils cost ₹111 in all. What does one pencil cost (in ₹)?
  5. 5.5 × ? + 10 = 135
  6. 6.3 × ? + 3 = 12
  7. 7.The length of a rectangle is 11 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  8. 8.A pen costs ₹15 more than a pencil. 2 pens and 2 pencils cost ₹62 in all. What does one pencil cost (in ₹)?
  9. 9.A pen costs ₹14 more than a pencil. 4 pens and 5 pencils cost ₹173 in all. What does one pencil cost (in ₹)?
  10. 10.Farhan has 27 coins, all ₹5 and ₹2 coins, worth ₹123 in all. How many ₹5 coins are there?
  11. 11.Ishaan has 16 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  12. 12.A pen costs ₹13 more than a pencil. 5 pens and 5 pencils cost ₹125 in all. What does one pencil cost (in ₹)?
  13. 13.A pen costs ₹3 more than a pencil. 2 pens and 5 pencils cost ₹41 in all. What does one pencil cost (in ₹)?
  14. 14.I think of a number, multiply it by 9 and then take away 13. The answer is 77. What is my number?
  15. 15.I think of a number, multiply it by 3 and then add 35. The answer is 92. What is my number?
  16. 16.I think of a number, multiply it by 2 and then add 25. The answer is 51. What is my number?
  17. 17.2 × ? + 1 = 45
  18. 18.I think of a number, multiply it by 5 and then add 5. The answer is 135. What is my number?
  19. 19.I think of a number, multiply it by 2 and then add 33. The answer is 45. What is my number?
  20. 20.A pen costs ₹8 more than a pencil. 3 pens and 2 pencils cost ₹59 in all. What does one pencil cost (in ₹)?
  21. 21.A pen costs ₹9 more than a pencil. 6 pens and 6 pencils cost ₹270 in all. What does one pencil cost (in ₹)?
  22. 22.11 × ? − 21 = 23
  23. 23.I think of a number, multiply it by 6 and then take away 11. The answer is 7. What is my number?
  24. 24.I think of a number, multiply it by 9 and then add 8. The answer is 125. What is my number?
  25. 25.A pen costs ₹5 more than a pencil. 3 pens and 8 pencils cost ₹158 in all. What does one pencil cost (in ₹)?
  26. 26.Solve for x: 4(x + 4) = 2x + 46. What is x?
  27. 27.7 × ? + 17 = 94
  28. 28.Solve for x: 4(x + 6) = 3x + 30. What is x?
  29. 29.The length of a rectangle is 6 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  30. 30.A pen costs ₹15 more than a pencil. 4 pens and 2 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  31. 31.I think of a number, multiply it by 7 and then add 1. The answer is 120. What is my number?
  32. 32.9 × ? − 8 = 19
  33. 33.A pen costs ₹9 more than a pencil. 4 pens and 7 pencils cost ₹168 in all. What does one pencil cost (in ₹)?
  34. 34.The length of a rectangle is 15 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  35. 35.I think of a number, multiply it by 3 and then take away 17. The answer is 67. What is my number?
  36. 36.The length of a rectangle is 5 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  37. 37.6 × ? + 11 = 77
  38. 38.2 × ? + 23 = 59
  39. 39.5 × ? + 1 = 96
  40. 40.Arjun has 22 coins, all ₹5 and ₹2 coins, worth ₹104 in all. How many ₹5 coins are there?

Answer key

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

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