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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 872 · 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 + 5) = 3x + 51. What is x?
  2. 2.A pen costs ₹3 more than a pencil. 2 pens and 5 pencils cost ₹27 in all. What does one pencil cost (in ₹)?
  3. 3.6 × ? + 25 = 91
  4. 4.The length of a rectangle is 10 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  5. 5.I think of a number, multiply it by 5 and then add 3. The answer is 63. What is my number?
  6. 6.Farhan has 29 coins, all ₹5 and ₹2 coins, worth ₹100 in all. How many ₹5 coins are there?
  7. 7.A pen costs ₹5 more than a pencil. 2 pens and 3 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  8. 8.I think of a number, multiply it by 7 and then add 10. The answer is 115. What is my number?
  9. 9.Solve for x: 9(x + 2) = 8x + 23. What is x?
  10. 10.A pen costs ₹4 more than a pencil. 2 pens and 7 pencils cost ₹35 in all. What does one pencil cost (in ₹)?
  11. 11.I think of a number, multiply it by 5 and then add 35. The answer is 175. What is my number?
  12. 12.I think of a number, multiply it by 5 and then add 8. The answer is 63. What is my number?
  13. 13.A pen costs ₹10 more than a pencil. 3 pens and 7 pencils cost ₹70 in all. What does one pencil cost (in ₹)?
  14. 14.A pen costs ₹14 more than a pencil. 2 pens and 8 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  15. 15.Karan has 30 coins, all ₹5 and ₹2 coins, worth ₹126 in all. How many ₹5 coins are there?
  16. 16.The length of a rectangle is 6 m more than its breadth. Its perimeter is 132 m. What is its breadth (in m)?
  17. 17.9 × ? + 24 = 78
  18. 18.I think of a number, multiply it by 4 and then add 11. The answer is 19. What is my number?
  19. 19.Solve for x: 8(x + 8) = 3x + 74. What is x?
  20. 20.A pen costs ₹4 more than a pencil. 5 pens and 5 pencils cost ₹110 in all. What does one pencil cost (in ₹)?
  21. 21.12 × ? − 6 = 150
  22. 22.A pen costs ₹5 more than a pencil. 2 pens and 8 pencils cost ₹110 in all. What does one pencil cost (in ₹)?
  23. 23.Solve for x: 7(x + 4) = x + 130. What is x?
  24. 24.I think of a number, multiply it by 3 and then add 37. The answer is 85. What is my number?
  25. 25.I think of a number, multiply it by 4 and then add 6. The answer is 14. What is my number?
  26. 26.I think of a number, multiply it by 6 and then take away 33. The answer is 99. What is my number?
  27. 27.I think of a number, multiply it by 7 and then take away 34. The answer is 134. What is my number?
  28. 28.Meera has 23 coins, all ₹5 and ₹2 coins, worth ₹103 in all. How many ₹5 coins are there?
  29. 29.Solve for x: 4(x + 6) = 3x + 25. What is x?
  30. 30.Vivaan has 24 coins, all ₹5 and ₹2 coins, worth ₹108 in all. How many ₹5 coins are there?
  31. 31.A pen costs ₹15 more than a pencil. 6 pens and 2 pencils cost ₹154 in all. What does one pencil cost (in ₹)?
  32. 32.The length of a rectangle is 6 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  33. 33.Solve for x: 8(x + 2) = 7x + 36. What is x?
  34. 34.4 × ? − 27 = 37
  35. 35.I think of a number, multiply it by 8 and then take away 36. The answer is 148. What is my number?
  36. 36.I think of a number, multiply it by 2 and then add 14. The answer is 36. What is my number?
  37. 37.Solve for x: 9(x + 9) = 2x + 109. What is x?
  38. 38.6 × ? − 1 = 131
  39. 39.Solve for x: 5(x + 2) = 2x + 37. What is x?
  40. 40.3 × ? + 11 = 26

Answer key

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

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