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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 744 · 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 7 and then add 26. The answer is 194. What is my number?
  2. 2.6 × ? + 23 = 41
  3. 3.Solve for x: 3(x + 2) = x + 18. What is x?
  4. 4.8 × ? − 5 = 27
  5. 5.I think of a number, multiply it by 3 and then add 13. The answer is 67. What is my number?
  6. 6.A pen costs ₹3 more than a pencil. 6 pens and 6 pencils cost ₹150 in all. What does one pencil cost (in ₹)?
  7. 7.I think of a number, multiply it by 7 and then add 28. The answer is 203. What is my number?
  8. 8.I think of a number, multiply it by 3 and then add 13. The answer is 34. What is my number?
  9. 9.I think of a number, multiply it by 2 and then add 17. The answer is 25. What is my number?
  10. 10.I think of a number, multiply it by 7 and then take away 28. The answer is 168. What is my number?
  11. 11.I think of a number, multiply it by 3 and then take away 7. The answer is 26. What is my number?
  12. 12.I think of a number, multiply it by 2 and then add 27. The answer is 63. What is my number?
  13. 13.The length of a rectangle is 15 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  14. 14.Rahul has 28 coins, all ₹5 and ₹2 coins, worth ₹74 in all. How many ₹5 coins are there?
  15. 15.2 × ? + 6 = 10
  16. 16.Farhan has 30 coins, all ₹5 and ₹2 coins, worth ₹102 in all. How many ₹5 coins are there?
  17. 17.The length of a rectangle is 14 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  18. 18.I think of a number, multiply it by 7 and then add 37. The answer is 184. What is my number?
  19. 19.A pen costs ₹4 more than a pencil. 4 pens and 7 pencils cost ₹93 in all. What does one pencil cost (in ₹)?
  20. 20.A pen costs ₹6 more than a pencil. 3 pens and 2 pencils cost ₹83 in all. What does one pencil cost (in ₹)?
  21. 21.I think of a number, multiply it by 4 and then take away 31. The answer is 53. What is my number?
  22. 22.Solve for x: 7(x + 1) = 5x + 13. What is x?
  23. 23.Solve for x: 9(x + 5) = 8x + 62. What is x?
  24. 24.Solve for x: 9(x + 3) = 7x + 35. What is x?
  25. 25.Solve for x: 3(x + 3) = x + 47. What is x?
  26. 26.I think of a number, multiply it by 6 and then take away 27. The answer is 111. What is my number?
  27. 27.Solve for x: 6(x + 8) = 2x + 108. What is x?
  28. 28.A pen costs ₹8 more than a pencil. 3 pens and 7 pencils cost ₹94 in all. What does one pencil cost (in ₹)?
  29. 29.Vivaan has 28 coins, all ₹5 and ₹2 coins, worth ₹122 in all. How many ₹5 coins are there?
  30. 30.4 × ? − 13 = 31
  31. 31.I think of a number, multiply it by 3 and then take away 19. The answer is 56. What is my number?
  32. 32.Solve for x: 4(x + 8) = x + 92. What is x?
  33. 33.The length of a rectangle is 11 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  34. 34.Farhan has 8 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  35. 35.The length of a rectangle is 5 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  36. 36.The length of a rectangle is 6 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  37. 37.A pen costs ₹9 more than a pencil. 2 pens and 7 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
  38. 38.Solve for x: 3(x + 6) = x + 24. What is x?
  39. 39.A pen costs ₹13 more than a pencil. 4 pens and 2 pencils cost ₹172 in all. What does one pencil cost (in ₹)?
  40. 40.The length of a rectangle is 2 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?

Answer key

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

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