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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 116 · 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: 9(x + 2) = 7x + 46. What is x?
  2. 2.I think of a number, multiply it by 8 and then add 24. The answer is 104. What is my number?
  3. 3.2 × ? − 6 = 14
  4. 4.10 × ? − 2 = 108
  5. 5.The length of a rectangle is 4 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  6. 6.11 × ? + 18 = 161
  7. 7.The length of a rectangle is 9 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  8. 8.A pen costs ₹10 more than a pencil. 6 pens and 6 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  9. 9.Solve for x: 4(x + 2) = x + 11. What is x?
  10. 10.The length of a rectangle is 8 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  11. 11.The length of a rectangle is 7 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  12. 12.Zoya has 21 coins, all ₹5 and ₹2 coins, worth ₹102 in all. How many ₹5 coins are there?
  13. 13.I think of a number, multiply it by 2 and then add 19. The answer is 53. What is my number?
  14. 14.Solve for x: 4(x + 8) = x + 50. What is x?
  15. 15.Solve for x: 7(x + 7) = 5x + 51. What is x?
  16. 16.The length of a rectangle is 8 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  17. 17.I think of a number, multiply it by 3 and then add 7. The answer is 97. What is my number?
  18. 18.3 × ? − 12 = 42
  19. 19.The length of a rectangle is 10 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  20. 20.A pen costs ₹2 more than a pencil. 3 pens and 3 pencils cost ₹36 in all. What does one pencil cost (in ₹)?
  21. 21.12 × ? − 30 = 30
  22. 22.Solve for x: 3(x + 8) = x + 32. What is x?
  23. 23.Farhan has 12 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  24. 24.I think of a number, multiply it by 6 and then take away 7. The answer is 131. What is my number?
  25. 25.Diya has 27 coins, all ₹5 and ₹2 coins, worth ₹111 in all. How many ₹5 coins are there?
  26. 26.A pen costs ₹12 more than a pencil. 3 pens and 8 pencils cost ₹201 in all. What does one pencil cost (in ₹)?
  27. 27.I think of a number, multiply it by 3 and then take away 29. The answer is 10. What is my number?
  28. 28.I think of a number, multiply it by 6 and then add 40. The answer is 76. What is my number?
  29. 29.I think of a number, multiply it by 7 and then take away 19. The answer is 65. What is my number?
  30. 30.Kavya has 11 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  31. 31.The length of a rectangle is 7 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  32. 32.A pen costs ₹13 more than a pencil. 3 pens and 2 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
  33. 33.Aditya has 29 coins, all ₹5 and ₹2 coins, worth ₹91 in all. How many ₹5 coins are there?
  34. 34.A pen costs ₹9 more than a pencil. 3 pens and 4 pencils cost ₹111 in all. What does one pencil cost (in ₹)?
  35. 35.I think of a number, multiply it by 9 and then add 7. The answer is 259. What is my number?
  36. 36.Priya has 23 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?
  37. 37.A pen costs ₹12 more than a pencil. 4 pens and 8 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  38. 38.Solve for x: 6(x + 3) = 3x + 51. What is x?
  39. 39.I think of a number, multiply it by 3 and then add 16. The answer is 73. What is my number?
  40. 40.I think of a number, multiply it by 9 and then add 27. The answer is 153. What is my number?

Answer key

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

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