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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 867 · 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.The length of a rectangle is 11 m more than its breadth. Its perimeter is 138 m. What is its breadth (in m)?
  2. 2.I think of a number, multiply it by 3 and then take away 7. The answer is 62. What is my number?
  3. 3.The length of a rectangle is 15 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  4. 4.Ananya has 17 coins, all ₹5 and ₹2 coins, worth ₹76 in all. How many ₹5 coins are there?
  5. 5.Solve for x: 3(x + 7) = x + 61. What is x?
  6. 6.The length of a rectangle is 12 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  7. 7.5 × ? + 15 = 70
  8. 8.Solve for x: 5(x + 5) = x + 53. What is x?
  9. 9.11 × ? − 25 = 30
  10. 10.Pooja has 26 coins, all ₹5 and ₹2 coins, worth ₹70 in all. How many ₹5 coins are there?
  11. 11.Meera has 11 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  12. 12.A pen costs ₹9 more than a pencil. 6 pens and 2 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  13. 13.The length of a rectangle is 10 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  14. 14.A pen costs ₹6 more than a pencil. 2 pens and 8 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  15. 15.2 × ? − 21 = 3
  16. 16.Solve for x: 6(x + 8) = 2x + 88. What is x?
  17. 17.5 × ? + 20 = 35
  18. 18.I think of a number, multiply it by 4 and then take away 2. The answer is 42. What is my number?
  19. 19.The length of a rectangle is 7 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  20. 20.The length of a rectangle is 9 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  21. 21.8 × ? + 15 = 95
  22. 22.Solve for x: 6(x + 7) = x + 102. What is x?
  23. 23.Tara has 16 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  24. 24.A pen costs ₹8 more than a pencil. 3 pens and 2 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  25. 25.I think of a number, multiply it by 8 and then add 28. The answer is 260. What is my number?
  26. 26.The length of a rectangle is 15 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  27. 27.I think of a number, multiply it by 9 and then add 19. The answer is 82. What is my number?
  28. 28.A pen costs ₹8 more than a pencil. 2 pens and 2 pencils cost ₹92 in all. What does one pencil cost (in ₹)?
  29. 29.A pen costs ₹14 more than a pencil. 6 pens and 5 pencils cost ₹304 in all. What does one pencil cost (in ₹)?
  30. 30.Solve for x: 8(x + 3) = 7x + 36. What is x?
  31. 31.Aditya has 22 coins, all ₹5 and ₹2 coins, worth ₹71 in all. How many ₹5 coins are there?
  32. 32.Ishaan has 14 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  33. 33.Solve for x: 6(x + 1) = x + 11. What is x?
  34. 34.Tara has 14 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  35. 35.The length of a rectangle is 3 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  36. 36.Solve for x: 8(x + 5) = 2x + 82. What is x?
  37. 37.Solve for x: 4(x + 7) = 3x + 31. What is x?
  38. 38.A pen costs ₹8 more than a pencil. 5 pens and 2 pencils cost ₹145 in all. What does one pencil cost (in ₹)?
  39. 39.Karan has 11 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  40. 40.3 × ? + 22 = 40

Answer key

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

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