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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 25 · 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.I think of a number, multiply it by 4 and then add 25. The answer is 49. What is my number?
  2. 2.I think of a number, multiply it by 4 and then add 9. The answer is 61. What is my number?
  3. 3.A pen costs ₹6 more than a pencil. 3 pens and 6 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  4. 4.Solve for x: 9(x + 1) = x + 89. What is x?
  5. 5.I think of a number, multiply it by 5 and then add 23. The answer is 103. What is my number?
  6. 6.I think of a number, multiply it by 5 and then take away 3. The answer is 82. What is my number?
  7. 7.The length of a rectangle is 10 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  8. 8.A pen costs ₹11 more than a pencil. 3 pens and 2 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  9. 9.The length of a rectangle is 4 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  10. 10.9 × ? − 26 = 154
  11. 11.The length of a rectangle is 7 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  12. 12.A pen costs ₹13 more than a pencil. 4 pens and 3 pencils cost ₹122 in all. What does one pencil cost (in ₹)?
  13. 13.A pen costs ₹13 more than a pencil. 3 pens and 2 pencils cost ₹79 in all. What does one pencil cost (in ₹)?
  14. 14.Tara has 29 coins, all ₹5 and ₹2 coins, worth ₹76 in all. How many ₹5 coins are there?
  15. 15.4 × ? − 4 = 52
  16. 16.Solve for x: 3(x + 8) = x + 52. What is x?
  17. 17.The length of a rectangle is 5 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  18. 18.I think of a number, multiply it by 7 and then add 9. The answer is 37. What is my number?
  19. 19.A pen costs ₹15 more than a pencil. 2 pens and 2 pencils cost ₹42 in all. What does one pencil cost (in ₹)?
  20. 20.Solve for x: 8(x + 5) = 2x + 46. What is x?
  21. 21.10 × ? + 26 = 146
  22. 22.A pen costs ₹12 more than a pencil. 2 pens and 3 pencils cost ₹109 in all. What does one pencil cost (in ₹)?
  23. 23.I think of a number, multiply it by 7 and then take away 13. The answer is 78. What is my number?
  24. 24.Zoya has 30 coins, all ₹5 and ₹2 coins, worth ₹123 in all. How many ₹5 coins are there?
  25. 25.Solve for x: 5(x + 1) = 4x + 24. What is x?
  26. 26.Nisha has 13 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  27. 27.Vivaan has 8 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  28. 28.2 × ? + 9 = 31
  29. 29.The length of a rectangle is 4 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  30. 30.The length of a rectangle is 15 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  31. 31.Zoya has 18 coins, all ₹5 and ₹2 coins, worth ₹72 in all. How many ₹5 coins are there?
  32. 32.A pen costs ₹12 more than a pencil. 4 pens and 3 pencils cost ₹146 in all. What does one pencil cost (in ₹)?
  33. 33.Solve for x: 3(x + 2) = 2x + 26. What is x?
  34. 34.The length of a rectangle is 5 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  35. 35.I think of a number, multiply it by 9 and then add 27. The answer is 270. What is my number?
  36. 36.Solve for x: 4(x + 8) = 3x + 46. What is x?
  37. 37.Solve for x: 3(x + 2) = 2x + 21. What is x?
  38. 38.Solve for x: 8(x + 5) = 7x + 49. What is x?
  39. 39.Ananya has 21 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  40. 40.The length of a rectangle is 6 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?

Answer key

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

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