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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 426 · 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: 6(x + 7) = 2x + 122. What is x?
  2. 2.A pen costs ₹3 more than a pencil. 5 pens and 6 pencils cost ₹158 in all. What does one pencil cost (in ₹)?
  3. 3.Nisha has 13 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  4. 4.The length of a rectangle is 7 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  5. 5.I think of a number, multiply it by 8 and then add 36. The answer is 188. What is my number?
  6. 6.A pen costs ₹5 more than a pencil. 3 pens and 5 pencils cost ₹103 in all. What does one pencil cost (in ₹)?
  7. 7.6 × ? − 28 = 38
  8. 8.10 × ? + 1 = 241
  9. 9.A pen costs ₹4 more than a pencil. 5 pens and 2 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  10. 10.2 × ? − 11 = 11
  11. 11.The length of a rectangle is 4 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  12. 12.A pen costs ₹4 more than a pencil. 5 pens and 8 pencils cost ₹254 in all. What does one pencil cost (in ₹)?
  13. 13.Solve for x: 6(x + 7) = 5x + 48. What is x?
  14. 14.A pen costs ₹9 more than a pencil. 5 pens and 6 pencils cost ₹221 in all. What does one pencil cost (in ₹)?
  15. 15.The length of a rectangle is 10 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  16. 16.I think of a number, multiply it by 3 and then take away 36. The answer is 6. What is my number?
  17. 17.A pen costs ₹15 more than a pencil. 3 pens and 3 pencils cost ₹123 in all. What does one pencil cost (in ₹)?
  18. 18.A pen costs ₹4 more than a pencil. 2 pens and 3 pencils cost ₹33 in all. What does one pencil cost (in ₹)?
  19. 19.A pen costs ₹2 more than a pencil. 4 pens and 2 pencils cost ₹26 in all. What does one pencil cost (in ₹)?
  20. 20.Solve for x: 7(x + 2) = 2x + 59. What is x?
  21. 21.I think of a number, multiply it by 2 and then add 21. The answer is 45. What is my number?
  22. 22.Saanvi has 18 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  23. 23.I think of a number, multiply it by 7 and then add 27. The answer is 90. What is my number?
  24. 24.Solve for x: 3(x + 3) = 2x + 25. What is x?
  25. 25.A pen costs ₹8 more than a pencil. 2 pens and 7 pencils cost ₹106 in all. What does one pencil cost (in ₹)?
  26. 26.7 × ? − 1 = 20
  27. 27.I think of a number, multiply it by 9 and then add 5. The answer is 23. What is my number?
  28. 28.Ananya has 11 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  29. 29.Solve for x: 4(x + 8) = 3x + 37. What is x?
  30. 30.The length of a rectangle is 2 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  31. 31.The length of a rectangle is 6 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  32. 32.3 × ? − 6 = 15
  33. 33.A pen costs ₹5 more than a pencil. 4 pens and 6 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  34. 34.I think of a number, multiply it by 3 and then take away 36. The answer is 3. What is my number?
  35. 35.Solve for x: 6(x + 5) = 3x + 48. What is x?
  36. 36.I think of a number, multiply it by 9 and then add 13. The answer is 130. What is my number?
  37. 37.11 × ? − 7 = 81
  38. 38.I think of a number, multiply it by 3 and then add 22. The answer is 40. What is my number?
  39. 39.Priya has 25 coins, all ₹5 and ₹2 coins, worth ₹80 in all. How many ₹5 coins are there?
  40. 40.Solve for x: 4(x + 1) = 2x + 28. What is x?

Answer key

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

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