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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 266 · 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. 1.9 × ? + 17 = 80
  2. 2.A pen costs ₹9 more than a pencil. 2 pens and 4 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  3. 3.I think of a number, multiply it by 3 and then take away 24. The answer is 6. What is my number?
  4. 4.I think of a number, multiply it by 6 and then take away 7. The answer is 23. What is my number?
  5. 5.I think of a number, multiply it by 9 and then add 30. The answer is 57. What is my number?
  6. 6.The length of a rectangle is 2 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  7. 7.4 × ? + 4 = 68
  8. 8.Kavya has 24 coins, all ₹5 and ₹2 coins, worth ₹87 in all. How many ₹5 coins are there?
  9. 9.A pen costs ₹12 more than a pencil. 2 pens and 7 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  10. 10.Zoya has 13 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  11. 11.A pen costs ₹13 more than a pencil. 3 pens and 8 pencils cost ₹116 in all. What does one pencil cost (in ₹)?
  12. 12.12 × ? − 23 = 181
  13. 13.I think of a number, multiply it by 8 and then take away 24. The answer is 64. What is my number?
  14. 14.Solve for x: 3(x + 5) = 2x + 23. What is x?
  15. 15.The length of a rectangle is 5 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  16. 16.A pen costs ₹5 more than a pencil. 3 pens and 8 pencils cost ₹213 in all. What does one pencil cost (in ₹)?
  17. 17.Solve for x: 5(x + 9) = 2x + 51. What is x?
  18. 18.I think of a number, multiply it by 3 and then take away 35. The answer is 4. What is my number?
  19. 19.I think of a number, multiply it by 8 and then add 27. The answer is 51. What is my number?
  20. 20.Solve for x: 3(x + 6) = 2x + 21. What is x?
  21. 21.I think of a number, multiply it by 8 and then add 15. The answer is 71. What is my number?
  22. 22.The length of a rectangle is 7 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  23. 23.A pen costs ₹11 more than a pencil. 4 pens and 3 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
  24. 24.Solve for x: 7(x + 5) = x + 101. What is x?
  25. 25.I think of a number, multiply it by 8 and then add 5. The answer is 197. What is my number?
  26. 26.The length of a rectangle is 4 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  27. 27.I think of a number, multiply it by 9 and then take away 15. The answer is 39. What is my number?
  28. 28.A pen costs ₹15 more than a pencil. 5 pens and 3 pencils cost ₹147 in all. What does one pencil cost (in ₹)?
  29. 29.I think of a number, multiply it by 2 and then take away 27. The answer is 27. What is my number?
  30. 30.A pen costs ₹9 more than a pencil. 4 pens and 8 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  31. 31.A pen costs ₹10 more than a pencil. 6 pens and 8 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  32. 32.A pen costs ₹13 more than a pencil. 2 pens and 8 pencils cost ₹76 in all. What does one pencil cost (in ₹)?
  33. 33.Solve for x: 5(x + 1) = 2x + 17. What is x?
  34. 34.A pen costs ₹3 more than a pencil. 3 pens and 4 pencils cost ₹79 in all. What does one pencil cost (in ₹)?
  35. 35.I think of a number, multiply it by 2 and then take away 22. The answer is 14. What is my number?
  36. 36.Solve for x: 8(x + 1) = 4x + 68. What is x?
  37. 37.Solve for x: 3(x + 2) = x + 18. What is x?
  38. 38.A pen costs ₹15 more than a pencil. 6 pens and 2 pencils cost ₹194 in all. What does one pencil cost (in ₹)?
  39. 39.Solve for x: 5(x + 9) = 2x + 66. What is x?
  40. 40.I think of a number, multiply it by 3 and then take away 10. The answer is 44. What is my number?

Answer key

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

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