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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 585 · 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. 1.10 × ? + 6 = 166
  2. 2.I think of a number, multiply it by 7 and then take away 2. The answer is 26. What is my number?
  3. 3.I think of a number, multiply it by 7 and then take away 15. The answer is 6. What is my number?
  4. 4.Solve for x: 8(x + 8) = 7x + 81. What is x?
  5. 5.Solve for x: 4(x + 2) = 3x + 17. What is x?
  6. 6.The length of a rectangle is 4 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  7. 7.A pen costs ₹13 more than a pencil. 3 pens and 7 pencils cost ₹109 in all. What does one pencil cost (in ₹)?
  8. 8.12 × ? − 8 = 76
  9. 9.5 × ? + 11 = 51
  10. 10.I think of a number, multiply it by 7 and then take away 40. The answer is 30. What is my number?
  11. 11.A pen costs ₹7 more than a pencil. 2 pens and 7 pencils cost ₹122 in all. What does one pencil cost (in ₹)?
  12. 12.2 × ? − 16 = 22
  13. 13.A pen costs ₹11 more than a pencil. 4 pens and 6 pencils cost ₹134 in all. What does one pencil cost (in ₹)?
  14. 14.8 × ? + 14 = 150
  15. 15.I think of a number, multiply it by 8 and then add 24. The answer is 248. What is my number?
  16. 16.2 × ? − 8 = 2
  17. 17.12 × ? − 29 = 211
  18. 18.2 × ? + 30 = 54
  19. 19.Solve for x: 6(x + 1) = 5x + 12. What is x?
  20. 20.Solve for x: 5(x + 2) = 2x + 64. What is x?
  21. 21.I think of a number, multiply it by 2 and then take away 1. The answer is 11. What is my number?
  22. 22.Solve for x: 7(x + 3) = 5x + 35. What is x?
  23. 23.Ananya has 18 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  24. 24.Diya has 16 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
  25. 25.The length of a rectangle is 2 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  26. 26.A pen costs ₹3 more than a pencil. 3 pens and 2 pencils cost ₹34 in all. What does one pencil cost (in ₹)?
  27. 27.I think of a number, multiply it by 3 and then take away 31. The answer is 17. What is my number?
  28. 28.I think of a number, multiply it by 4 and then take away 20. The answer is 8. What is my number?
  29. 29.A pen costs ₹14 more than a pencil. 4 pens and 3 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  30. 30.I think of a number, multiply it by 4 and then add 16. The answer is 40. What is my number?
  31. 31.The length of a rectangle is 3 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  32. 32.12 × ? + 24 = 144
  33. 33.Solve for x: 8(x + 1) = 6x + 16. What is x?
  34. 34.7 × ? + 22 = 148
  35. 35.I think of a number, multiply it by 8 and then take away 6. The answer is 50. What is my number?
  36. 36.2 × ? − 2 = 40
  37. 37.Solve for x: 4(x + 8) = x + 47. What is x?
  38. 38.Meera has 12 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  39. 39.I think of a number, multiply it by 7 and then take away 16. The answer is 54. What is my number?
  40. 40.A pen costs ₹14 more than a pencil. 6 pens and 6 pencils cost ₹228 in all. What does one pencil cost (in ₹)?

Answer key

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

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