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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 737 · 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: 3(x + 6) = 2x + 24. What is x?
  2. 2.The length of a rectangle is 4 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  3. 3.The length of a rectangle is 8 m more than its breadth. Its perimeter is 132 m. What is its breadth (in m)?
  4. 4.A pen costs ₹7 more than a pencil. 2 pens and 6 pencils cost ₹110 in all. What does one pencil cost (in ₹)?
  5. 5.A pen costs ₹6 more than a pencil. 3 pens and 3 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  6. 6.The length of a rectangle is 8 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  7. 7.The length of a rectangle is 6 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  8. 8.12 × ? + 14 = 50
  9. 9.I think of a number, multiply it by 3 and then add 19. The answer is 109. What is my number?
  10. 10.The length of a rectangle is 3 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  11. 11.A pen costs ₹14 more than a pencil. 6 pens and 3 pencils cost ₹237 in all. What does one pencil cost (in ₹)?
  12. 12.I think of a number, multiply it by 2 and then take away 29. The answer is 11. What is my number?
  13. 13.I think of a number, multiply it by 2 and then take away 5. The answer is 3. What is my number?
  14. 14.I think of a number, multiply it by 8 and then add 24. The answer is 96. What is my number?
  15. 15.Pooja has 10 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  16. 16.Solve for x: 3(x + 4) = x + 14. What is x?
  17. 17.I think of a number, multiply it by 3 and then take away 25. The answer is 65. What is my number?
  18. 18.A pen costs ₹3 more than a pencil. 2 pens and 3 pencils cost ₹71 in all. What does one pencil cost (in ₹)?
  19. 19.The length of a rectangle is 13 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  20. 20.Vivaan has 13 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  21. 21.The length of a rectangle is 11 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  22. 22.Pooja has 20 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  23. 23.Vivaan has 8 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  24. 24.I think of a number, multiply it by 8 and then add 7. The answer is 47. What is my number?
  25. 25.Solve for x: 4(x + 1) = 2x + 16. What is x?
  26. 26.I think of a number, multiply it by 3 and then add 26. The answer is 80. What is my number?
  27. 27.I think of a number, multiply it by 7 and then add 20. The answer is 132. What is my number?
  28. 28.A pen costs ₹11 more than a pencil. 3 pens and 3 pencils cost ₹153 in all. What does one pencil cost (in ₹)?
  29. 29.Solve for x: 3(x + 4) = 2x + 32. What is x?
  30. 30.I think of a number, multiply it by 2 and then take away 7. The answer is 49. What is my number?
  31. 31.Rohan has 9 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  32. 32.I think of a number, multiply it by 8 and then take away 27. The answer is 125. What is my number?
  33. 33.A pen costs ₹2 more than a pencil. 6 pens and 2 pencils cost ₹140 in all. What does one pencil cost (in ₹)?
  34. 34.I think of a number, multiply it by 6 and then take away 36. The answer is 132. What is my number?
  35. 35.I think of a number, multiply it by 2 and then take away 19. The answer is 3. What is my number?
  36. 36.A pen costs ₹7 more than a pencil. 6 pens and 2 pencils cost ₹186 in all. What does one pencil cost (in ₹)?
  37. 37.I think of a number, multiply it by 7 and then add 16. The answer is 219. What is my number?
  38. 38.Solve for x: 3(x + 1) = x + 35. What is x?
  39. 39.Aditya has 22 coins, all ₹5 and ₹2 coins, worth ₹104 in all. How many ₹5 coins are there?
  40. 40.The length of a rectangle is 7 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?

Answer key

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

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