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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 335 · 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.A pen costs ₹11 more than a pencil. 2 pens and 6 pencils cost ₹46 in all. What does one pencil cost (in ₹)?
  2. 2.7 × ? − 26 = 65
  3. 3.I think of a number, multiply it by 6 and then take away 4. The answer is 176. What is my number?
  4. 4.A pen costs ₹9 more than a pencil. 5 pens and 5 pencils cost ₹165 in all. What does one pencil cost (in ₹)?
  5. 5.Kabir has 20 coins, all ₹5 and ₹2 coins, worth ₹58 in all. How many ₹5 coins are there?
  6. 6.I think of a number, multiply it by 2 and then take away 12. The answer is 36. What is my number?
  7. 7.Priya has 11 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  8. 8.Isha has 9 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  9. 9.The length of a rectangle is 9 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  10. 10.A pen costs ₹9 more than a pencil. 5 pens and 6 pencils cost ₹155 in all. What does one pencil cost (in ₹)?
  11. 11.Kavya has 30 coins, all ₹5 and ₹2 coins, worth ₹111 in all. How many ₹5 coins are there?
  12. 12.The length of a rectangle is 7 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  13. 13.A pen costs ₹3 more than a pencil. 5 pens and 7 pencils cost ₹255 in all. What does one pencil cost (in ₹)?
  14. 14.11 × ? + 15 = 70
  15. 15.I think of a number, multiply it by 4 and then add 8. The answer is 44. What is my number?
  16. 16.The length of a rectangle is 3 m more than its breadth. Its perimeter is 26 m. What is its breadth (in m)?
  17. 17.Solve for x: 8(x + 2) = 3x + 61. What is x?
  18. 18.I think of a number, multiply it by 6 and then add 6. The answer is 138. What is my number?
  19. 19.Solve for x: 7(x + 4) = 6x + 39. What is x?
  20. 20.6 × ? + 6 = 120
  21. 21.The length of a rectangle is 5 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  22. 22.I think of a number, multiply it by 7 and then add 40. The answer is 61. What is my number?
  23. 23.The length of a rectangle is 9 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  24. 24.I think of a number, multiply it by 3 and then add 2. The answer is 71. What is my number?
  25. 25.Solve for x: 3(x + 8) = x + 56. What is x?
  26. 26.Solve for x: 5(x + 1) = x + 37. What is x?
  27. 27.8 × ? − 14 = 2
  28. 28.I think of a number, multiply it by 7 and then take away 8. The answer is 111. What is my number?
  29. 29.Rahul has 20 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?
  30. 30.The length of a rectangle is 6 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  31. 31.Tara has 14 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  32. 32.A pen costs ₹10 more than a pencil. 5 pens and 3 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  33. 33.12 × ? + 15 = 63
  34. 34.I think of a number, multiply it by 4 and then take away 36. The answer is 60. What is my number?
  35. 35.I think of a number, multiply it by 8 and then take away 15. The answer is 201. What is my number?
  36. 36.A pen costs ₹2 more than a pencil. 4 pens and 2 pencils cost ₹26 in all. What does one pencil cost (in ₹)?
  37. 37.A pen costs ₹12 more than a pencil. 2 pens and 2 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  38. 38.I think of a number, multiply it by 7 and then take away 21. The answer is 182. What is my number?
  39. 39.A pen costs ₹10 more than a pencil. 2 pens and 8 pencils cost ₹180 in all. What does one pencil cost (in ₹)?
  40. 40.Solve for x: 9(x + 2) = 8x + 24. What is x?

Answer key

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

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