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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 631 · 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.The length of a rectangle is 14 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  2. 2.I think of a number, multiply it by 2 and then take away 8. The answer is 4. What is my number?
  3. 3.Solve for x: 3(x + 8) = 2x + 35. What is x?
  4. 4.Solve for x: 8(x + 4) = 5x + 47. What is x?
  5. 5.The length of a rectangle is 6 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  6. 6.I think of a number, multiply it by 6 and then add 30. The answer is 186. What is my number?
  7. 7.I think of a number, multiply it by 7 and then add 36. The answer is 190. What is my number?
  8. 8.I think of a number, multiply it by 7 and then take away 22. The answer is 160. What is my number?
  9. 9.3 × ? − 10 = 26
  10. 10.5 × ? + 4 = 104
  11. 11.3 × ? − 6 = 24
  12. 12.The length of a rectangle is 5 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  13. 13.Manav has 22 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
  14. 14.A pen costs ₹9 more than a pencil. 4 pens and 8 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  15. 15.Solve for x: 4(x + 4) = 2x + 36. What is x?
  16. 16.Solve for x: 8(x + 2) = 2x + 124. What is x?
  17. 17.Diya has 27 coins, all ₹5 and ₹2 coins, worth ₹81 in all. How many ₹5 coins are there?
  18. 18.The length of a rectangle is 13 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  19. 19.The length of a rectangle is 13 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  20. 20.A pen costs ₹2 more than a pencil. 6 pens and 5 pencils cost ₹232 in all. What does one pencil cost (in ₹)?
  21. 21.7 × ? − 15 = 20
  22. 22.4 × ? − 7 = 9
  23. 23.Solve for x: 3(x + 4) = x + 38. What is x?
  24. 24.I think of a number, multiply it by 6 and then take away 23. The answer is 55. What is my number?
  25. 25.Solve for x: 4(x + 1) = 3x + 24. What is x?
  26. 26.6 × ? − 5 = 37
  27. 27.The length of a rectangle is 2 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  28. 28.6 × ? − 22 = 74
  29. 29.Kabir has 18 coins, all ₹5 and ₹2 coins, worth ₹78 in all. How many ₹5 coins are there?
  30. 30.5 × ? − 17 = 33
  31. 31.I think of a number, multiply it by 3 and then add 33. The answer is 42. What is my number?
  32. 32.3 × ? − 12 = 33
  33. 33.Sneha has 16 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
  34. 34.The length of a rectangle is 10 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  35. 35.I think of a number, multiply it by 9 and then take away 34. The answer is 200. What is my number?
  36. 36.Aditya has 23 coins, all ₹5 and ₹2 coins, worth ₹88 in all. How many ₹5 coins are there?
  37. 37.The length of a rectangle is 6 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  38. 38.A pen costs ₹2 more than a pencil. 5 pens and 2 pencils cost ₹52 in all. What does one pencil cost (in ₹)?
  39. 39.I think of a number, multiply it by 3 and then add 26. The answer is 77. What is my number?
  40. 40.A pen costs ₹5 more than a pencil. 3 pens and 5 pencils cost ₹39 in all. What does one pencil cost (in ₹)?

Answer key

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

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