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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 785 · 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 + 2) = x + 14. What is x?
  2. 2.A pen costs ₹2 more than a pencil. 3 pens and 2 pencils cost ₹41 in all. What does one pencil cost (in ₹)?
  3. 3.The length of a rectangle is 6 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  4. 4.Solve for x: 9(x + 1) = 3x + 33. What is x?
  5. 5.Solve for x: 6(x + 8) = 3x + 81. What is x?
  6. 6.A pen costs ₹15 more than a pencil. 6 pens and 7 pencils cost ₹129 in all. What does one pencil cost (in ₹)?
  7. 7.3 × ? + 14 = 29
  8. 8.A pen costs ₹10 more than a pencil. 3 pens and 7 pencils cost ₹110 in all. What does one pencil cost (in ₹)?
  9. 9.Solve for x: 3(x + 3) = 2x + 20. What is x?
  10. 10.I think of a number, multiply it by 2 and then add 32. The answer is 38. What is my number?
  11. 11.A pen costs ₹7 more than a pencil. 5 pens and 3 pencils cost ₹115 in all. What does one pencil cost (in ₹)?
  12. 12.I think of a number, multiply it by 2 and then add 3. The answer is 9. What is my number?
  13. 13.I think of a number, multiply it by 8 and then take away 19. The answer is 101. What is my number?
  14. 14.The length of a rectangle is 10 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  15. 15.The length of a rectangle is 11 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  16. 16.Kabir has 15 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  17. 17.8 × ? − 24 = 160
  18. 18.A pen costs ₹10 more than a pencil. 4 pens and 5 pencils cost ₹148 in all. What does one pencil cost (in ₹)?
  19. 19.A pen costs ₹4 more than a pencil. 3 pens and 3 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  20. 20.The length of a rectangle is 7 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  21. 21.I think of a number, multiply it by 6 and then add 24. The answer is 132. What is my number?
  22. 22.I think of a number, multiply it by 4 and then add 28. The answer is 40. What is my number?
  23. 23.I think of a number, multiply it by 4 and then add 14. The answer is 86. What is my number?
  24. 24.A pen costs ₹12 more than a pencil. 2 pens and 3 pencils cost ₹64 in all. What does one pencil cost (in ₹)?
  25. 25.Solve for x: 8(x + 8) = 2x + 106. What is x?
  26. 26.12 × ? − 26 = 226
  27. 27.2 × ? + 17 = 51
  28. 28.A pen costs ₹8 more than a pencil. 5 pens and 4 pencils cost ₹76 in all. What does one pencil cost (in ₹)?
  29. 29.A pen costs ₹6 more than a pencil. 3 pens and 2 pencils cost ₹43 in all. What does one pencil cost (in ₹)?
  30. 30.Solve for x: 3(x + 6) = x + 32. What is x?
  31. 31.Aditya has 28 coins, all ₹5 and ₹2 coins, worth ₹68 in all. How many ₹5 coins are there?
  32. 32.I think of a number, multiply it by 9 and then add 17. The answer is 278. What is my number?
  33. 33.I think of a number, multiply it by 7 and then add 6. The answer is 167. What is my number?
  34. 34.Solve for x: 4(x + 6) = 2x + 26. What is x?
  35. 35.9 × ? + 28 = 46
  36. 36.A pen costs ₹12 more than a pencil. 4 pens and 6 pencils cost ₹188 in all. What does one pencil cost (in ₹)?
  37. 37.I think of a number, multiply it by 5 and then take away 18. The answer is 47. What is my number?
  38. 38.A pen costs ₹10 more than a pencil. 2 pens and 2 pencils cost ₹40 in all. What does one pencil cost (in ₹)?
  39. 39.A pen costs ₹2 more than a pencil. 6 pens and 2 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  40. 40.The length of a rectangle is 15 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?

Answer key

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

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