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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 680 · 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 5 and then take away 3. The answer is 92. What is my number?
  2. 2.Solve for x: 3(x + 2) = 2x + 20. What is x?
  3. 3.I think of a number, multiply it by 7 and then add 16. The answer is 212. What is my number?
  4. 4.Solve for x: 3(x + 5) = x + 49. What is x?
  5. 5.The length of a rectangle is 9 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  6. 6.Solve for x: 7(x + 9) = 2x + 118. What is x?
  7. 7.The length of a rectangle is 6 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  8. 8.The length of a rectangle is 15 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  9. 9.A pen costs ₹8 more than a pencil. 2 pens and 2 pencils cost ₹52 in all. What does one pencil cost (in ₹)?
  10. 10.I think of a number, multiply it by 7 and then add 7. The answer is 77. What is my number?
  11. 11.A pen costs ₹2 more than a pencil. 3 pens and 3 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
  12. 12.Solve for x: 4(x + 8) = 3x + 41. What is x?
  13. 13.Nisha has 19 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
  14. 14.A pen costs ₹7 more than a pencil. 4 pens and 2 pencils cost ₹76 in all. What does one pencil cost (in ₹)?
  15. 15.Solve for x: 8(x + 1) = 7x + 23. What is x?
  16. 16.A pen costs ₹10 more than a pencil. 3 pens and 7 pencils cost ₹80 in all. What does one pencil cost (in ₹)?
  17. 17.Ishaan has 23 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  18. 18.The length of a rectangle is 6 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  19. 19.A pen costs ₹7 more than a pencil. 5 pens and 6 pencils cost ₹255 in all. What does one pencil cost (in ₹)?
  20. 20.Saanvi has 18 coins, all ₹5 and ₹2 coins, worth ₹75 in all. How many ₹5 coins are there?
  21. 21.Solve for x: 4(x + 2) = x + 26. What is x?
  22. 22.A pen costs ₹10 more than a pencil. 2 pens and 2 pencils cost ₹80 in all. What does one pencil cost (in ₹)?
  23. 23.The length of a rectangle is 15 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  24. 24.I think of a number, multiply it by 8 and then add 8. The answer is 72. What is my number?
  25. 25.Aarav has 15 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  26. 26.The length of a rectangle is 5 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  27. 27.Farhan has 29 coins, all ₹5 and ₹2 coins, worth ₹85 in all. How many ₹5 coins are there?
  28. 28.Solve for x: 5(x + 5) = 2x + 46. What is x?
  29. 29.6 × ? + 26 = 50
  30. 30.I think of a number, multiply it by 7 and then add 8. The answer is 99. What is my number?
  31. 31.I think of a number, multiply it by 6 and then add 10. The answer is 52. What is my number?
  32. 32.A pen costs ₹12 more than a pencil. 3 pens and 8 pencils cost ₹135 in all. What does one pencil cost (in ₹)?
  33. 33.2 × ? + 20 = 24
  34. 34.The length of a rectangle is 9 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  35. 35.Meera has 8 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  36. 36.A pen costs ₹4 more than a pencil. 5 pens and 6 pencils cost ₹130 in all. What does one pencil cost (in ₹)?
  37. 37.The length of a rectangle is 12 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  38. 38.The length of a rectangle is 7 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  39. 39.A pen costs ₹3 more than a pencil. 5 pens and 2 pencils cost ₹71 in all. What does one pencil cost (in ₹)?
  40. 40.9 × ? − 1 = 44

Answer key

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

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