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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 427 · 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: 4(x + 8) = x + 83. What is x?
  2. 2.4 × ? − 7 = 73
  3. 3.10 × ? − 1 = 39
  4. 4.Priya has 14 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  5. 5.A pen costs ₹5 more than a pencil. 6 pens and 2 pencils cost ₹150 in all. What does one pencil cost (in ₹)?
  6. 6.Solve for x: 4(x + 2) = 3x + 26. What is x?
  7. 7.Solve for x: 5(x + 4) = 2x + 56. What is x?
  8. 8.Solve for x: 7(x + 2) = 3x + 66. What is x?
  9. 9.A pen costs ₹9 more than a pencil. 2 pens and 2 pencils cost ₹58 in all. What does one pencil cost (in ₹)?
  10. 10.The length of a rectangle is 15 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  11. 11.The length of a rectangle is 14 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  12. 12.I think of a number, multiply it by 5 and then take away 37. The answer is 83. What is my number?
  13. 13.Solve for x: 3(x + 5) = 2x + 27. What is x?
  14. 14.5 × ? − 14 = 76
  15. 15.Solve for x: 8(x + 1) = 4x + 48. What is x?
  16. 16.A pen costs ₹14 more than a pencil. 6 pens and 8 pencils cost ₹140 in all. What does one pencil cost (in ₹)?
  17. 17.A pen costs ₹15 more than a pencil. 5 pens and 3 pencils cost ₹147 in all. What does one pencil cost (in ₹)?
  18. 18.I think of a number, multiply it by 5 and then add 17. The answer is 57. What is my number?
  19. 19.I think of a number, multiply it by 4 and then add 8. The answer is 84. What is my number?
  20. 20.A pen costs ₹2 more than a pencil. 6 pens and 5 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  21. 21.Ishaan has 17 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  22. 22.A pen costs ₹15 more than a pencil. 3 pens and 5 pencils cost ₹181 in all. What does one pencil cost (in ₹)?
  23. 23.I think of a number, multiply it by 8 and then add 36. The answer is 252. What is my number?
  24. 24.A pen costs ₹13 more than a pencil. 4 pens and 7 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  25. 25.I think of a number, multiply it by 5 and then add 12. The answer is 162. What is my number?
  26. 26.Solve for x: 9(x + 1) = 4x + 99. What is x?
  27. 27.Arjun has 20 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  28. 28.The length of a rectangle is 7 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  29. 29.The length of a rectangle is 10 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  30. 30.Solve for x: 5(x + 2) = x + 58. What is x?
  31. 31.I think of a number, multiply it by 8 and then take away 28. The answer is 148. What is my number?
  32. 32.The length of a rectangle is 13 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  33. 33.Solve for x: 7(x + 1) = 3x + 35. What is x?
  34. 34.A pen costs ₹9 more than a pencil. 3 pens and 4 pencils cost ₹146 in all. What does one pencil cost (in ₹)?
  35. 35.A pen costs ₹6 more than a pencil. 2 pens and 4 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  36. 36.I think of a number, multiply it by 9 and then add 37. The answer is 55. What is my number?
  37. 37.The length of a rectangle is 2 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  38. 38.Solve for x: 3(x + 3) = x + 37. What is x?
  39. 39.Solve for x: 7(x + 2) = x + 80. What is x?
  40. 40.I think of a number, multiply it by 9 and then take away 34. The answer is 191. What is my number?

Answer key

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

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