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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 592 · 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: 6(x + 9) = x + 64. What is x?
  2. 2.The length of a rectangle is 5 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  3. 3.3 × ? + 18 = 33
  4. 4.I think of a number, multiply it by 4 and then take away 31. The answer is 25. What is my number?
  5. 5.A pen costs ₹10 more than a pencil. 6 pens and 5 pencils cost ₹192 in all. What does one pencil cost (in ₹)?
  6. 6.The length of a rectangle is 15 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  7. 7.A pen costs ₹3 more than a pencil. 3 pens and 5 pencils cost ₹65 in all. What does one pencil cost (in ₹)?
  8. 8.I think of a number, multiply it by 9 and then take away 23. The answer is 4. What is my number?
  9. 9.Sneha has 29 coins, all ₹5 and ₹2 coins, worth ₹127 in all. How many ₹5 coins are there?
  10. 10.The length of a rectangle is 12 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  11. 11.Rahul has 22 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  12. 12.A pen costs ₹3 more than a pencil. 2 pens and 3 pencils cost ₹101 in all. What does one pencil cost (in ₹)?
  13. 13.Solve for x: 5(x + 6) = 3x + 52. What is x?
  14. 14.Ananya has 18 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  15. 15.Solve for x: 7(x + 6) = 6x + 57. What is x?
  16. 16.I think of a number, multiply it by 8 and then take away 27. The answer is 189. What is my number?
  17. 17.I think of a number, multiply it by 8 and then take away 7. The answer is 217. What is my number?
  18. 18.The length of a rectangle is 3 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  19. 19.7 × ? − 30 = 33
  20. 20.I think of a number, multiply it by 4 and then add 22. The answer is 74. What is my number?
  21. 21.Solve for x: 5(x + 2) = 3x + 34. What is x?
  22. 22.A pen costs ₹4 more than a pencil. 4 pens and 5 pencils cost ₹151 in all. What does one pencil cost (in ₹)?
  23. 23.Zoya has 13 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  24. 24.3 × ? + 30 = 45
  25. 25.I think of a number, multiply it by 9 and then take away 8. The answer is 55. What is my number?
  26. 26.Ananya has 9 coins, all ₹5 and ₹2 coins, worth ₹21 in all. How many ₹5 coins are there?
  27. 27.The length of a rectangle is 11 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  28. 28.Solve for x: 9(x + 5) = 3x + 69. What is x?
  29. 29.Solve for x: 3(x + 3) = x + 43. What is x?
  30. 30.4 × ? − 14 = 6
  31. 31.11 × ? + 20 = 196
  32. 32.I think of a number, multiply it by 6 and then add 11. The answer is 179. What is my number?
  33. 33.Solve for x: 6(x + 2) = 5x + 22. What is x?
  34. 34.Solve for x: 8(x + 3) = 6x + 42. What is x?
  35. 35.The length of a rectangle is 12 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  36. 36.Solve for x: 6(x + 8) = 4x + 66. What is x?
  37. 37.Solve for x: 3(x + 4) = x + 28. What is x?
  38. 38.9 × ? − 8 = 28
  39. 39.Solve for x: 4(x + 3) = x + 33. What is x?
  40. 40.6 × ? − 11 = 139

Answer key

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

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