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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 39 · 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 2 and then add 5. The answer is 11. What is my number?
  2. 2.A pen costs ₹10 more than a pencil. 5 pens and 3 pencils cost ₹130 in all. What does one pencil cost (in ₹)?
  3. 3.Solve for x: 4(x + 5) = x + 50. What is x?
  4. 4.I think of a number, multiply it by 4 and then add 18. The answer is 34. What is my number?
  5. 5.The length of a rectangle is 15 m more than its breadth. Its perimeter is 150 m. What is its breadth (in m)?
  6. 6.The length of a rectangle is 4 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  7. 7.9 × ? + 11 = 155
  8. 8.8 × ? − 5 = 59
  9. 9.5 × ? − 21 = 69
  10. 10.A pen costs ₹7 more than a pencil. 4 pens and 6 pencils cost ₹58 in all. What does one pencil cost (in ₹)?
  11. 11.Solve for x: 7(x + 2) = x + 44. What is x?
  12. 12.The length of a rectangle is 9 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  13. 13.10 × ? − 27 = 73
  14. 14.A pen costs ₹6 more than a pencil. 5 pens and 4 pencils cost ₹93 in all. What does one pencil cost (in ₹)?
  15. 15.4 × ? − 3 = 97
  16. 16.The length of a rectangle is 11 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  17. 17.A pen costs ₹14 more than a pencil. 4 pens and 5 pencils cost ₹110 in all. What does one pencil cost (in ₹)?
  18. 18.Solve for x: 4(x + 9) = 3x + 40. What is x?
  19. 19.Solve for x: 4(x + 5) = 2x + 34. What is x?
  20. 20.I think of a number, multiply it by 2 and then add 40. The answer is 54. What is my number?
  21. 21.Kabir has 15 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  22. 22.3 × ? − 16 = 53
  23. 23.I think of a number, multiply it by 9 and then take away 33. The answer is 93. What is my number?
  24. 24.I think of a number, multiply it by 3 and then add 10. The answer is 49. What is my number?
  25. 25.Solve for x: 9(x + 4) = 7x + 76. What is x?
  26. 26.I think of a number, multiply it by 4 and then add 12. The answer is 116. What is my number?
  27. 27.I think of a number, multiply it by 5 and then add 37. The answer is 67. What is my number?
  28. 28.Solve for x: 9(x + 4) = 8x + 52. What is x?
  29. 29.Aditya has 12 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  30. 30.A pen costs ₹4 more than a pencil. 5 pens and 7 pencils cost ₹188 in all. What does one pencil cost (in ₹)?
  31. 31.Karan has 16 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  32. 32.11 × ? − 17 = 214
  33. 33.11 × ? − 21 = 67
  34. 34.I think of a number, multiply it by 2 and then take away 10. The answer is 18. What is my number?
  35. 35.10 × ? + 4 = 84
  36. 36.A pen costs ₹7 more than a pencil. 6 pens and 8 pencils cost ₹168 in all. What does one pencil cost (in ₹)?
  37. 37.8 × ? − 2 = 198
  38. 38.Solve for x: 5(x + 8) = 2x + 82. What is x?
  39. 39.I think of a number, multiply it by 2 and then take away 6. The answer is 18. What is my number?
  40. 40.Solve for x: 3(x + 2) = 2x + 9. What is x?

Answer key

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

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