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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 35 · 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 6 and then add 26. The answer is 92. What is my number?
  2. 2.Solve for x: 6(x + 1) = 4x + 44. What is x?
  3. 3.Solve for x: 3(x + 7) = x + 33. What is x?
  4. 4.I think of a number, multiply it by 2 and then take away 31. The answer is 9. What is my number?
  5. 5.Aditya has 10 coins, all ₹5 and ₹2 coins, worth ₹23 in all. How many ₹5 coins are there?
  6. 6.9 × ? − 7 = 218
  7. 7.Solve for x: 7(x + 1) = 6x + 12. What is x?
  8. 8.Solve for x: 5(x + 7) = 4x + 42. What is x?
  9. 9.Solve for x: 8(x + 5) = 7x + 47. What is x?
  10. 10.Solve for x: 7(x + 1) = 4x + 34. What is x?
  11. 11.I think of a number, multiply it by 6 and then take away 7. The answer is 11. What is my number?
  12. 12.8 × ? + 3 = 147
  13. 13.I think of a number, multiply it by 4 and then take away 19. The answer is 37. What is my number?
  14. 14.11 × ? + 7 = 249
  15. 15.A pen costs ₹14 more than a pencil. 3 pens and 7 pencils cost ₹232 in all. What does one pencil cost (in ₹)?
  16. 16.I think of a number, multiply it by 2 and then add 16. The answer is 62. What is my number?
  17. 17.Diya has 15 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  18. 18.I think of a number, multiply it by 4 and then take away 4. The answer is 64. What is my number?
  19. 19.A pen costs ₹6 more than a pencil. 3 pens and 6 pencils cost ₹99 in all. What does one pencil cost (in ₹)?
  20. 20.4 × ? + 2 = 54
  21. 21.I think of a number, multiply it by 2 and then add 21. The answer is 41. What is my number?
  22. 22.I think of a number, multiply it by 6 and then add 3. The answer is 45. What is my number?
  23. 23.The length of a rectangle is 2 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  24. 24.Solve for x: 8(x + 6) = 5x + 66. What is x?
  25. 25.Solve for x: 3(x + 2) = x + 28. What is x?
  26. 26.I think of a number, multiply it by 8 and then add 17. The answer is 153. What is my number?
  27. 27.The length of a rectangle is 2 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  28. 28.I think of a number, multiply it by 8 and then take away 40. The answer is 160. What is my number?
  29. 29.Diya has 23 coins, all ₹5 and ₹2 coins, worth ₹76 in all. How many ₹5 coins are there?
  30. 30.Solve for x: 5(x + 1) = 3x + 29. What is x?
  31. 31.Solve for x: 8(x + 8) = 6x + 100. What is x?
  32. 32.Kavya has 8 coins, all ₹5 and ₹2 coins, worth ₹22 in all. How many ₹5 coins are there?
  33. 33.A pen costs ₹8 more than a pencil. 2 pens and 4 pencils cost ₹130 in all. What does one pencil cost (in ₹)?
  34. 34.Solve for x: 6(x + 7) = 3x + 66. What is x?
  35. 35.A pen costs ₹6 more than a pencil. 2 pens and 3 pencils cost ₹97 in all. What does one pencil cost (in ₹)?
  36. 36.Solve for x: 3(x + 1) = x + 15. What is x?
  37. 37.I think of a number, multiply it by 4 and then take away 40. The answer is 60. What is my number?
  38. 38.I think of a number, multiply it by 3 and then take away 26. The answer is 43. What is my number?
  39. 39.Aarav has 25 coins, all ₹5 and ₹2 coins, worth ₹107 in all. How many ₹5 coins are there?
  40. 40.The length of a rectangle is 4 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?

Answer key

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

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