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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 223 · 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 35. The answer is 80. What is my number?
  2. 2.Aarav has 24 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  3. 3.Solve for x: 9(x + 2) = 6x + 78. What is x?
  4. 4.12 × ? − 21 = 219
  5. 5.A pen costs ₹12 more than a pencil. 3 pens and 2 pencils cost ₹121 in all. What does one pencil cost (in ₹)?
  6. 6.I think of a number, multiply it by 6 and then take away 36. The answer is 36. What is my number?
  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.I think of a number, multiply it by 4 and then take away 3. The answer is 69. What is my number?
  9. 9.Solve for x: 6(x + 1) = 3x + 54. What is x?
  10. 10.12 × ? − 7 = 65
  11. 11.2 × ? + 19 = 35
  12. 12.Saanvi has 13 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  13. 13.I think of a number, multiply it by 8 and then take away 2. The answer is 158. What is my number?
  14. 14.5 × ? − 20 = 30
  15. 15.I think of a number, multiply it by 3 and then take away 40. The answer is 38. What is my number?
  16. 16.2 × ? + 12 = 38
  17. 17.Solve for x: 8(x + 1) = 5x + 35. What is x?
  18. 18.Solve for x: 7(x + 1) = x + 13. What is x?
  19. 19.Solve for x: 6(x + 2) = 3x + 30. What is x?
  20. 20.A pen costs ₹9 more than a pencil. 3 pens and 6 pencils cost ₹180 in all. What does one pencil cost (in ₹)?
  21. 21.A pen costs ₹13 more than a pencil. 4 pens and 2 pencils cost ₹94 in all. What does one pencil cost (in ₹)?
  22. 22.Pooja has 26 coins, all ₹5 and ₹2 coins, worth ₹100 in all. How many ₹5 coins are there?
  23. 23.Aarav has 15 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  24. 24.Solve for x: 6(x + 2) = x + 37. What is x?
  25. 25.The length of a rectangle is 12 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  26. 26.A pen costs ₹13 more than a pencil. 2 pens and 8 pencils cost ₹66 in all. What does one pencil cost (in ₹)?
  27. 27.A pen costs ₹2 more than a pencil. 5 pens and 6 pencils cost ₹87 in all. What does one pencil cost (in ₹)?
  28. 28.Aditya has 21 coins, all ₹5 and ₹2 coins, worth ₹99 in all. How many ₹5 coins are there?
  29. 29.The length of a rectangle is 15 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  30. 30.7 × ? − 22 = 41
  31. 31.Solve for x: 7(x + 5) = 4x + 56. What is x?
  32. 32.Farhan has 30 coins, all ₹5 and ₹2 coins, worth ₹93 in all. How many ₹5 coins are there?
  33. 33.Rohan has 19 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  34. 34.The length of a rectangle is 11 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  35. 35.Karan has 29 coins, all ₹5 and ₹2 coins, worth ₹121 in all. How many ₹5 coins are there?
  36. 36.Karan has 14 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  37. 37.The length of a rectangle is 5 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  38. 38.A pen costs ₹8 more than a pencil. 5 pens and 3 pencils cost ₹176 in all. What does one pencil cost (in ₹)?
  39. 39.Solve for x: 7(x + 7) = 2x + 129. What is x?
  40. 40.I think of a number, multiply it by 6 and then take away 23. The answer is 97. What is my number?

Answer key

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

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