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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 236 · 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.The length of a rectangle is 9 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  2. 2.Solve for x: 5(x + 7) = 3x + 57. What is x?
  3. 3.The length of a rectangle is 6 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  4. 4.The length of a rectangle is 4 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  5. 5.I think of a number, multiply it by 2 and then take away 18. The answer is 36. What is my number?
  6. 6.A pen costs ₹6 more than a pencil. 2 pens and 5 pencils cost ₹152 in all. What does one pencil cost (in ₹)?
  7. 7.Diya has 15 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  8. 8.Meera has 16 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  9. 9.A pen costs ₹15 more than a pencil. 5 pens and 6 pencils cost ₹251 in all. What does one pencil cost (in ₹)?
  10. 10.A pen costs ₹9 more than a pencil. 2 pens and 4 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  11. 11.A pen costs ₹7 more than a pencil. 5 pens and 6 pencils cost ₹233 in all. What does one pencil cost (in ₹)?
  12. 12.I think of a number, multiply it by 2 and then add 33. The answer is 39. What is my number?
  13. 13.I think of a number, multiply it by 6 and then add 35. The answer is 53. What is my number?
  14. 14.The length of a rectangle is 6 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  15. 15.I think of a number, multiply it by 5 and then add 8. The answer is 38. What is my number?
  16. 16.I think of a number, multiply it by 9 and then take away 11. The answer is 196. What is my number?
  17. 17.The length of a rectangle is 7 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  18. 18.A pen costs ₹9 more than a pencil. 3 pens and 2 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
  19. 19.Solve for x: 6(x + 4) = x + 34. What is x?
  20. 20.10 × ? − 29 = 141
  21. 21.I think of a number, multiply it by 9 and then take away 40. The answer is 104. What is my number?
  22. 22.I think of a number, multiply it by 8 and then add 40. The answer is 128. What is my number?
  23. 23.A pen costs ₹10 more than a pencil. 4 pens and 2 pencils cost ₹106 in all. What does one pencil cost (in ₹)?
  24. 24.Solve for x: 4(x + 4) = 3x + 18. What is x?
  25. 25.A pen costs ₹14 more than a pencil. 3 pens and 6 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  26. 26.Vivaan has 18 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?
  27. 27.4 × ? + 1 = 17
  28. 28.9 × ? + 29 = 200
  29. 29.Aditya has 13 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  30. 30.Solve for x: 3(x + 1) = 2x + 19. What is x?
  31. 31.A pen costs ₹8 more than a pencil. 5 pens and 6 pencils cost ₹128 in all. What does one pencil cost (in ₹)?
  32. 32.12 × ? − 9 = 15
  33. 33.5 × ? + 18 = 113
  34. 34.I think of a number, multiply it by 7 and then add 27. The answer is 167. What is my number?
  35. 35.2 × ? + 12 = 58
  36. 36.The length of a rectangle is 10 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  37. 37.A pen costs ₹4 more than a pencil. 2 pens and 2 pencils cost ₹24 in all. What does one pencil cost (in ₹)?
  38. 38.A pen costs ₹15 more than a pencil. 5 pens and 6 pencils cost ₹262 in all. What does one pencil cost (in ₹)?
  39. 39.10 × ? + 2 = 152
  40. 40.I think of a number, multiply it by 6 and then add 17. The answer is 53. What is my number?

Answer key

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

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