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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 419 · 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: 9(x + 8) = 3x + 192. What is x?
  2. 2.A pen costs ₹11 more than a pencil. 3 pens and 7 pencils cost ₹83 in all. What does one pencil cost (in ₹)?
  3. 3.Kavya has 14 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  4. 4.Solve for x: 3(x + 4) = 2x + 23. What is x?
  5. 5.I think of a number, multiply it by 2 and then take away 37. The answer is 1. What is my number?
  6. 6.4 × ? + 3 = 79
  7. 7.Solve for x: 8(x + 6) = 6x + 80. What is x?
  8. 8.11 × ? + 29 = 271
  9. 9.The length of a rectangle is 6 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  10. 10.I think of a number, multiply it by 9 and then add 23. The answer is 248. What is my number?
  11. 11.I think of a number, multiply it by 2 and then add 36. The answer is 56. What is my number?
  12. 12.Solve for x: 4(x + 4) = x + 46. What is x?
  13. 13.I think of a number, multiply it by 8 and then add 29. The answer is 69. What is my number?
  14. 14.A pen costs ₹12 more than a pencil. 5 pens and 3 pencils cost ₹180 in all. What does one pencil cost (in ₹)?
  15. 15.A pen costs ₹11 more than a pencil. 5 pens and 5 pencils cost ₹85 in all. What does one pencil cost (in ₹)?
  16. 16.Solve for x: 8(x + 4) = 4x + 104. What is x?
  17. 17.3 × ? + 9 = 51
  18. 18.I think of a number, multiply it by 9 and then add 9. The answer is 180. What is my number?
  19. 19.8 × ? − 21 = 51
  20. 20.2 × ? − 26 = 2
  21. 21.12 × ? − 8 = 208
  22. 22.Solve for x: 8(x + 9) = 4x + 128. What is x?
  23. 23.I think of a number, multiply it by 3 and then add 21. The answer is 48. What is my number?
  24. 24.A pen costs ₹5 more than a pencil. 5 pens and 5 pencils cost ₹165 in all. What does one pencil cost (in ₹)?
  25. 25.Solve for x: 5(x + 1) = 2x + 62. What is x?
  26. 26.A pen costs ₹5 more than a pencil. 2 pens and 5 pencils cost ₹52 in all. What does one pencil cost (in ₹)?
  27. 27.The length of a rectangle is 14 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  28. 28.5 × ? + 7 = 92
  29. 29.Zoya has 15 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  30. 30.Solve for x: 5(x + 3) = 3x + 21. What is x?
  31. 31.The length of a rectangle is 11 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  32. 32.The length of a rectangle is 9 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  33. 33.Ananya has 30 coins, all ₹5 and ₹2 coins, worth ₹75 in all. How many ₹5 coins are there?
  34. 34.Ishaan has 9 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  35. 35.Solve for x: 8(x + 9) = 7x + 75. What is x?
  36. 36.12 × ? − 24 = 132
  37. 37.Solve for x: 3(x + 5) = 2x + 34. What is x?
  38. 38.Isha has 13 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
  39. 39.Solve for x: 5(x + 7) = x + 55. What is x?
  40. 40.Solve for x: 4(x + 3) = x + 57. What is x?

Answer key

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

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