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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 422 · 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: 5(x + 7) = 2x + 56. What is x?
  2. 2.7 × ? − 6 = 8
  3. 3.The length of a rectangle is 7 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  4. 4.The length of a rectangle is 11 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  5. 5.Kabir has 30 coins, all ₹5 and ₹2 coins, worth ₹87 in all. How many ₹5 coins are there?
  6. 6.The length of a rectangle is 13 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  7. 7.The length of a rectangle is 12 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  8. 8.A pen costs ₹10 more than a pencil. 2 pens and 6 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  9. 9.Meera has 19 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  10. 10.Zoya has 15 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  11. 11.I think of a number, multiply it by 8 and then take away 22. The answer is 194. What is my number?
  12. 12.Sneha has 28 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  13. 13.I think of a number, multiply it by 2 and then add 8. The answer is 60. What is my number?
  14. 14.A pen costs ₹11 more than a pencil. 4 pens and 4 pencils cost ₹196 in all. What does one pencil cost (in ₹)?
  15. 15.I think of a number, multiply it by 5 and then add 22. The answer is 52. What is my number?
  16. 16.A pen costs ₹10 more than a pencil. 2 pens and 2 pencils cost ₹76 in all. What does one pencil cost (in ₹)?
  17. 17.A pen costs ₹12 more than a pencil. 3 pens and 3 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  18. 18.10 × ? + 3 = 133
  19. 19.Rahul has 10 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
  20. 20.I think of a number, multiply it by 5 and then add 26. The answer is 71. What is my number?
  21. 21.Ishaan has 24 coins, all ₹5 and ₹2 coins, worth ₹114 in all. How many ₹5 coins are there?
  22. 22.Solve for x: 5(x + 8) = 4x + 58. What is x?
  23. 23.Solve for x: 8(x + 6) = 4x + 124. What is x?
  24. 24.Dev has 19 coins, all ₹5 and ₹2 coins, worth ₹77 in all. How many ₹5 coins are there?
  25. 25.Solve for x: 9(x + 1) = 3x + 21. What is x?
  26. 26.Ananya has 22 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
  27. 27.Solve for x: 9(x + 1) = x + 25. What is x?
  28. 28.6 × ? + 22 = 172
  29. 29.Nisha has 12 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  30. 30.Solve for x: 8(x + 6) = 7x + 56. What is x?
  31. 31.I think of a number, multiply it by 4 and then take away 15. The answer is 13. What is my number?
  32. 32.A pen costs ₹13 more than a pencil. 4 pens and 4 pencils cost ₹156 in all. What does one pencil cost (in ₹)?
  33. 33.The length of a rectangle is 14 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  34. 34.I think of a number, multiply it by 9 and then take away 12. The answer is 105. What is my number?
  35. 35.A pen costs ₹8 more than a pencil. 5 pens and 4 pencils cost ₹148 in all. What does one pencil cost (in ₹)?
  36. 36.I think of a number, multiply it by 6 and then add 5. The answer is 173. What is my number?
  37. 37.Solve for x: 4(x + 3) = x + 69. What is x?
  38. 38.9 × ? + 4 = 85
  39. 39.Priya has 11 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  40. 40.5 × ? − 19 = 81

Answer key

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

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