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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 876 · 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 11. The answer is 172. What is my number?
  2. 2.Solve for x: 4(x + 1) = 3x + 20. What is x?
  3. 3.I think of a number, multiply it by 5 and then add 37. The answer is 152. What is my number?
  4. 4.Solve for x: 3(x + 2) = x + 26. What is x?
  5. 5.8 × ? + 30 = 70
  6. 6.12 × ? − 24 = 192
  7. 7.5 × ? + 6 = 41
  8. 8.Solve for x: 4(x + 7) = x + 82. What is x?
  9. 9.Solve for x: 9(x + 4) = x + 52. What is x?
  10. 10.Solve for x: 8(x + 4) = x + 67. What is x?
  11. 11.9 × ? − 14 = 40
  12. 12.A pen costs ₹3 more than a pencil. 3 pens and 2 pencils cost ₹109 in all. What does one pencil cost (in ₹)?
  13. 13.A pen costs ₹12 more than a pencil. 4 pens and 6 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  14. 14.Solve for x: 5(x + 3) = x + 79. What is x?
  15. 15.A pen costs ₹8 more than a pencil. 3 pens and 7 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  16. 16.Nisha has 14 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  17. 17.Kabir has 16 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  18. 18.A pen costs ₹10 more than a pencil. 5 pens and 7 pencils cost ₹134 in all. What does one pencil cost (in ₹)?
  19. 19.Ishaan has 10 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  20. 20.The length of a rectangle is 6 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  21. 21.A pen costs ₹10 more than a pencil. 6 pens and 6 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  22. 22.The length of a rectangle is 3 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  23. 23.Pooja has 9 coins, all ₹5 and ₹2 coins, worth ₹24 in all. How many ₹5 coins are there?
  24. 24.8 × ? − 8 = 32
  25. 25.Aditya has 15 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  26. 26.The length of a rectangle is 2 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  27. 27.I think of a number, multiply it by 7 and then take away 33. The answer is 100. What is my number?
  28. 28.A pen costs ₹10 more than a pencil. 3 pens and 8 pencils cost ₹195 in all. What does one pencil cost (in ₹)?
  29. 29.A pen costs ₹8 more than a pencil. 2 pens and 3 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  30. 30.The length of a rectangle is 15 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  31. 31.8 × ? + 23 = 111
  32. 32.The length of a rectangle is 6 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  33. 33.Solve for x: 8(x + 5) = x + 117. What is x?
  34. 34.Solve for x: 8(x + 6) = 3x + 78. What is x?
  35. 35.The length of a rectangle is 10 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  36. 36.A pen costs ₹14 more than a pencil. 6 pens and 8 pencils cost ₹266 in all. What does one pencil cost (in ₹)?
  37. 37.Nisha has 16 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  38. 38.The length of a rectangle is 13 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  39. 39.I think of a number, multiply it by 8 and then take away 19. The answer is 77. What is my number?
  40. 40.The length of a rectangle is 5 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?

Answer key

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

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