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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 338 · 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: 7(x + 2) = 5x + 44. What is x?
  2. 2.Solve for x: 9(x + 7) = 5x + 87. What is x?
  3. 3.The length of a rectangle is 5 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  4. 4.The length of a rectangle is 11 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  5. 5.Priya has 25 coins, all ₹5 and ₹2 coins, worth ₹74 in all. How many ₹5 coins are there?
  6. 6.Solve for x: 9(x + 8) = 7x + 92. What is x?
  7. 7.I think of a number, multiply it by 6 and then add 7. The answer is 181. What is my number?
  8. 8.A pen costs ₹11 more than a pencil. 4 pens and 4 pencils cost ₹76 in all. What does one pencil cost (in ₹)?
  9. 9.Solve for x: 9(x + 2) = 2x + 25. What is x?
  10. 10.I think of a number, multiply it by 5 and then take away 7. The answer is 123. What is my number?
  11. 11.The length of a rectangle is 11 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  12. 12.I think of a number, multiply it by 8 and then add 23. The answer is 135. What is my number?
  13. 13.Diya has 23 coins, all ₹5 and ₹2 coins, worth ₹112 in all. How many ₹5 coins are there?
  14. 14.I think of a number, multiply it by 8 and then take away 3. The answer is 157. What is my number?
  15. 15.Ananya has 23 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  16. 16.I think of a number, multiply it by 7 and then take away 7. The answer is 98. What is my number?
  17. 17.I think of a number, multiply it by 3 and then add 12. The answer is 30. What is my number?
  18. 18.The length of a rectangle is 4 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  19. 19.The length of a rectangle is 5 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  20. 20.I think of a number, multiply it by 7 and then add 2. The answer is 51. What is my number?
  21. 21.The length of a rectangle is 6 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  22. 22.The length of a rectangle is 4 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  23. 23.Solve for x: 8(x + 9) = 4x + 136. What is x?
  24. 24.A pen costs ₹12 more than a pencil. 5 pens and 8 pencils cost ₹99 in all. What does one pencil cost (in ₹)?
  25. 25.Sneha has 8 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  26. 26.A pen costs ₹6 more than a pencil. 2 pens and 2 pencils cost ₹24 in all. What does one pencil cost (in ₹)?
  27. 27.Solve for x: 8(x + 3) = x + 136. What is x?
  28. 28.I think of a number, multiply it by 6 and then take away 25. The answer is 143. What is my number?
  29. 29.3 × ? − 6 = 42
  30. 30.Solve for x: 5(x + 7) = x + 103. What is x?
  31. 31.Solve for x: 4(x + 6) = 2x + 48. What is x?
  32. 32.Farhan has 18 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  33. 33.A pen costs ₹3 more than a pencil. 5 pens and 6 pencils cost ₹92 in all. What does one pencil cost (in ₹)?
  34. 34.The length of a rectangle is 12 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  35. 35.Solve for x: 9(x + 8) = 6x + 87. What is x?
  36. 36.A pen costs ₹4 more than a pencil. 6 pens and 7 pencils cost ₹245 in all. What does one pencil cost (in ₹)?
  37. 37.The length of a rectangle is 6 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  38. 38.I think of a number, multiply it by 9 and then add 24. The answer is 69. What is my number?
  39. 39.The length of a rectangle is 4 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  40. 40.I think of a number, multiply it by 7 and then take away 6. The answer is 50. What is my number?

Answer key

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

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