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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 432 · 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: 5(x + 2) = 2x + 28. What is x?
  2. 2.The length of a rectangle is 12 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  3. 3.I think of a number, multiply it by 6 and then add 37. The answer is 61. What is my number?
  4. 4.The length of a rectangle is 14 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  5. 5.A pen costs ₹10 more than a pencil. 2 pens and 3 pencils cost ₹55 in all. What does one pencil cost (in ₹)?
  6. 6.A pen costs ₹10 more than a pencil. 6 pens and 2 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  7. 7.Diya has 24 coins, all ₹5 and ₹2 coins, worth ₹93 in all. How many ₹5 coins are there?
  8. 8.The length of a rectangle is 13 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  9. 9.Arjun has 8 coins, all ₹5 and ₹2 coins, worth ₹22 in all. How many ₹5 coins are there?
  10. 10.Arjun has 20 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?
  11. 11.I think of a number, multiply it by 6 and then add 37. The answer is 139. What is my number?
  12. 12.I think of a number, multiply it by 8 and then take away 2. The answer is 230. What is my number?
  13. 13.I think of a number, multiply it by 9 and then add 36. The answer is 162. What is my number?
  14. 14.I think of a number, multiply it by 4 and then add 1. The answer is 21. What is my number?
  15. 15.I think of a number, multiply it by 3 and then add 35. The answer is 44. What is my number?
  16. 16.4 × ? + 19 = 119
  17. 17.I think of a number, multiply it by 8 and then add 14. The answer is 158. What is my number?
  18. 18.I think of a number, multiply it by 3 and then add 34. The answer is 46. What is my number?
  19. 19.Solve for x: 6(x + 3) = 3x + 30. What is x?
  20. 20.A pen costs ₹6 more than a pencil. 3 pens and 3 pencils cost ₹138 in all. What does one pencil cost (in ₹)?
  21. 21.Saanvi has 29 coins, all ₹5 and ₹2 coins, worth ₹118 in all. How many ₹5 coins are there?
  22. 22.I think of a number, multiply it by 8 and then add 22. The answer is 102. What is my number?
  23. 23.The length of a rectangle is 5 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  24. 24.Aditya has 21 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  25. 25.The length of a rectangle is 7 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  26. 26.A pen costs ₹11 more than a pencil. 6 pens and 2 pencils cost ₹154 in all. What does one pencil cost (in ₹)?
  27. 27.I think of a number, multiply it by 4 and then add 24. The answer is 32. What is my number?
  28. 28.A pen costs ₹6 more than a pencil. 3 pens and 6 pencils cost ₹162 in all. What does one pencil cost (in ₹)?
  29. 29.The length of a rectangle is 6 m more than its breadth. Its perimeter is 132 m. What is its breadth (in m)?
  30. 30.I think of a number, multiply it by 8 and then add 40. The answer is 280. What is my number?
  31. 31.2 × ? + 21 = 27
  32. 32.I think of a number, multiply it by 6 and then take away 5. The answer is 73. What is my number?
  33. 33.Solve for x: 5(x + 8) = 4x + 48. What is x?
  34. 34.10 × ? + 3 = 203
  35. 35.Solve for x: 9(x + 5) = 3x + 123. What is x?
  36. 36.12 × ? − 5 = 103
  37. 37.The length of a rectangle is 4 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  38. 38.11 × ? − 2 = 31
  39. 39.Meera has 30 coins, all ₹5 and ₹2 coins, worth ₹99 in all. How many ₹5 coins are there?
  40. 40.11 × ? + 9 = 53

Answer key

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

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