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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 498 · 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 15 m more than its breadth. Its perimeter is 138 m. What is its breadth (in m)?
  2. 2.The length of a rectangle is 8 m more than its breadth. Its perimeter is 132 m. What is its breadth (in m)?
  3. 3.Solve for x: 8(x + 6) = 6x + 60. What is x?
  4. 4.A pen costs ₹9 more than a pencil. 4 pens and 8 pencils cost ₹252 in all. What does one pencil cost (in ₹)?
  5. 5.Solve for x: 6(x + 8) = 5x + 65. What is x?
  6. 6.A pen costs ₹15 more than a pencil. 2 pens and 7 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  7. 7.Kavya has 11 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  8. 8.Solve for x: 9(x + 8) = 4x + 122. What is x?
  9. 9.I think of a number, multiply it by 3 and then add 11. The answer is 62. What is my number?
  10. 10.A pen costs ₹2 more than a pencil. 4 pens and 6 pencils cost ₹68 in all. What does one pencil cost (in ₹)?
  11. 11.Rahul has 23 coins, all ₹5 and ₹2 coins, worth ₹73 in all. How many ₹5 coins are there?
  12. 12.I think of a number, multiply it by 2 and then add 26. The answer is 42. What is my number?
  13. 13.The length of a rectangle is 11 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  14. 14.I think of a number, multiply it by 4 and then take away 38. The answer is 66. What is my number?
  15. 15.8 × ? + 3 = 203
  16. 16.The length of a rectangle is 14 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  17. 17.I think of a number, multiply it by 6 and then add 6. The answer is 84. What is my number?
  18. 18.Priya has 23 coins, all ₹5 and ₹2 coins, worth ₹85 in all. How many ₹5 coins are there?
  19. 19.11 × ? − 12 = 175
  20. 20.The length of a rectangle is 12 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  21. 21.Solve for x: 5(x + 5) = 4x + 30. What is x?
  22. 22.The length of a rectangle is 12 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  23. 23.I think of a number, multiply it by 2 and then add 29. The answer is 59. What is my number?
  24. 24.I think of a number, multiply it by 8 and then add 20. The answer is 92. What is my number?
  25. 25.A pen costs ₹5 more than a pencil. 6 pens and 6 pencils cost ₹66 in all. What does one pencil cost (in ₹)?
  26. 26.A pen costs ₹3 more than a pencil. 3 pens and 2 pencils cost ₹104 in all. What does one pencil cost (in ₹)?
  27. 27.A pen costs ₹10 more than a pencil. 4 pens and 6 pencils cost ₹240 in all. What does one pencil cost (in ₹)?
  28. 28.I think of a number, multiply it by 5 and then take away 32. The answer is 78. What is my number?
  29. 29.The length of a rectangle is 8 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  30. 30.Rohan has 22 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
  31. 31.7 × ? + 21 = 98
  32. 32.Solve for x: 3(x + 7) = x + 35. What is x?
  33. 33.Kavya has 29 coins, all ₹5 and ₹2 coins, worth ₹76 in all. How many ₹5 coins are there?
  34. 34.I think of a number, multiply it by 5 and then take away 38. The answer is 42. What is my number?
  35. 35.8 × ? − 4 = 172
  36. 36.A pen costs ₹7 more than a pencil. 5 pens and 8 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  37. 37.Rahul has 26 coins, all ₹5 and ₹2 coins, worth ₹118 in all. How many ₹5 coins are there?
  38. 38.Solve for x: 9(x + 8) = 2x + 205. What is x?
  39. 39.A pen costs ₹2 more than a pencil. 6 pens and 5 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  40. 40.I think of a number, multiply it by 9 and then take away 32. The answer is 229. What is my number?

Answer key

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

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