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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 773 · 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: 4(x + 8) = x + 68. What is x?
  2. 2.Solve for x: 3(x + 6) = x + 38. What is x?
  3. 3.The length of a rectangle is 14 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  4. 4.The length of a rectangle is 6 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  5. 5.I think of a number, multiply it by 9 and then take away 27. The answer is 18. What is my number?
  6. 6.A pen costs ₹5 more than a pencil. 3 pens and 4 pencils cost ₹155 in all. What does one pencil cost (in ₹)?
  7. 7.Solve for x: 9(x + 8) = 2x + 128. What is x?
  8. 8.Solve for x: 8(x + 2) = 5x + 43. What is x?
  9. 9.I think of a number, multiply it by 3 and then take away 14. The answer is 40. What is my number?
  10. 10.The length of a rectangle is 15 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  11. 11.Rahul has 15 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  12. 12.A pen costs ₹9 more than a pencil. 4 pens and 3 pencils cost ₹127 in all. What does one pencil cost (in ₹)?
  13. 13.Solve for x: 9(x + 1) = 4x + 44. What is x?
  14. 14.Rohan has 23 coins, all ₹5 and ₹2 coins, worth ₹73 in all. How many ₹5 coins are there?
  15. 15.The length of a rectangle is 10 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  16. 16.Isha has 15 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  17. 17.I think of a number, multiply it by 6 and then add 18. The answer is 198. What is my number?
  18. 18.I think of a number, multiply it by 4 and then take away 33. The answer is 87. What is my number?
  19. 19.Vivaan has 28 coins, all ₹5 and ₹2 coins, worth ₹137 in all. How many ₹5 coins are there?
  20. 20.The length of a rectangle is 9 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  21. 21.A pen costs ₹6 more than a pencil. 6 pens and 8 pencils cost ₹176 in all. What does one pencil cost (in ₹)?
  22. 22.A pen costs ₹7 more than a pencil. 4 pens and 8 pencils cost ₹160 in all. What does one pencil cost (in ₹)?
  23. 23.I think of a number, multiply it by 8 and then take away 4. The answer is 156. What is my number?
  24. 24.Solve for x: 7(x + 1) = 5x + 45. What is x?
  25. 25.I think of a number, multiply it by 5 and then add 34. The answer is 59. What is my number?
  26. 26.A pen costs ₹3 more than a pencil. 3 pens and 3 pencils cost ₹27 in all. What does one pencil cost (in ₹)?
  27. 27.Tara has 21 coins, all ₹5 and ₹2 coins, worth ₹96 in all. How many ₹5 coins are there?
  28. 28.I think of a number, multiply it by 9 and then add 14. The answer is 104. What is my number?
  29. 29.I think of a number, multiply it by 8 and then add 17. The answer is 113. What is my number?
  30. 30.Saanvi has 27 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  31. 31.The length of a rectangle is 14 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  32. 32.The length of a rectangle is 4 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  33. 33.5 × ? − 17 = 13
  34. 34.Solve for x: 6(x + 4) = 2x + 48. What is x?
  35. 35.9 × ? − 2 = 169
  36. 36.A pen costs ₹4 more than a pencil. 6 pens and 2 pencils cost ₹136 in all. What does one pencil cost (in ₹)?
  37. 37.Ananya has 29 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  38. 38.Solve for x: 3(x + 4) = x + 24. What is x?
  39. 39.A pen costs ₹8 more than a pencil. 2 pens and 5 pencils cost ₹58 in all. What does one pencil cost (in ₹)?
  40. 40.The length of a rectangle is 5 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?

Answer key

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

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