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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 552 · 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: 3(x + 5) = x + 55. What is x?
  2. 2.4 × ? + 24 = 44
  3. 3.The length of a rectangle is 13 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  4. 4.A pen costs ₹6 more than a pencil. 4 pens and 3 pencils cost ₹164 in all. What does one pencil cost (in ₹)?
  5. 5.A pen costs ₹9 more than a pencil. 6 pens and 3 pencils cost ₹99 in all. What does one pencil cost (in ₹)?
  6. 6.The length of a rectangle is 9 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  7. 7.I think of a number, multiply it by 9 and then add 27. The answer is 162. What is my number?
  8. 8.I think of a number, multiply it by 4 and then add 11. The answer is 59. What is my number?
  9. 9.A pen costs ₹3 more than a pencil. 2 pens and 4 pencils cost ₹30 in all. What does one pencil cost (in ₹)?
  10. 10.I think of a number, multiply it by 8 and then take away 1. The answer is 79. What is my number?
  11. 11.2 × ? + 14 = 18
  12. 12.I think of a number, multiply it by 2 and then take away 27. The answer is 23. What is my number?
  13. 13.Solve for x: 4(x + 4) = 2x + 50. What is x?
  14. 14.Solve for x: 6(x + 4) = 2x + 28. What is x?
  15. 15.A pen costs ₹8 more than a pencil. 2 pens and 5 pencils cost ₹149 in all. What does one pencil cost (in ₹)?
  16. 16.A pen costs ₹13 more than a pencil. 4 pens and 4 pencils cost ₹140 in all. What does one pencil cost (in ₹)?
  17. 17.Solve for x: 3(x + 8) = 2x + 29. What is x?
  18. 18.9 × ? − 9 = 180
  19. 19.I think of a number, multiply it by 7 and then add 6. The answer is 34. What is my number?
  20. 20.A pen costs ₹11 more than a pencil. 2 pens and 6 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  21. 21.A pen costs ₹13 more than a pencil. 2 pens and 8 pencils cost ₹56 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 30 m. What is its breadth (in m)?
  23. 23.The length of a rectangle is 7 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  24. 24.A pen costs ₹14 more than a pencil. 4 pens and 2 pencils cost ₹92 in all. What does one pencil cost (in ₹)?
  25. 25.Farhan has 11 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  26. 26.Solve for x: 4(x + 9) = 3x + 43. What is x?
  27. 27.A pen costs ₹9 more than a pencil. 4 pens and 2 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  28. 28.2 × ? + 18 = 26
  29. 29.Solve for x: 7(x + 9) = 6x + 76. What is x?
  30. 30.I think of a number, multiply it by 6 and then take away 28. The answer is 8. What is my number?
  31. 31.A pen costs ₹10 more than a pencil. 2 pens and 3 pencils cost ₹45 in all. What does one pencil cost (in ₹)?
  32. 32.I think of a number, multiply it by 7 and then take away 39. The answer is 66. What is my number?
  33. 33.3 × ? − 24 = 51
  34. 34.A pen costs ₹11 more than a pencil. 2 pens and 5 pencils cost ₹57 in all. What does one pencil cost (in ₹)?
  35. 35.A pen costs ₹7 more than a pencil. 2 pens and 7 pencils cost ₹86 in all. What does one pencil cost (in ₹)?
  36. 36.The length of a rectangle is 10 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  37. 37.Ananya has 23 coins, all ₹5 and ₹2 coins, worth ₹85 in all. How many ₹5 coins are there?
  38. 38.The length of a rectangle is 3 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  39. 39.I think of a number, multiply it by 2 and then add 33. The answer is 77. What is my number?
  40. 40.6 × ? + 23 = 41

Answer key

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

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