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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 772 · 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 10 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  2. 2.The length of a rectangle is 14 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  3. 3.7 × ? − 29 = 76
  4. 4.Nisha has 13 coins, all ₹5 and ₹2 coins, worth ₹29 in all. How many ₹5 coins are there?
  5. 5.I think of a number, multiply it by 6 and then add 37. The answer is 67. What is my number?
  6. 6.I think of a number, multiply it by 9 and then add 10. The answer is 190. What is my number?
  7. 7.Priya has 11 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  8. 8.Solve for x: 6(x + 2) = 3x + 24. What is x?
  9. 9.I think of a number, multiply it by 8 and then take away 25. The answer is 55. What is my number?
  10. 10.The length of a rectangle is 10 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  11. 11.The length of a rectangle is 11 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  12. 12.I think of a number, multiply it by 7 and then add 13. The answer is 195. What is my number?
  13. 13.Isha has 23 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  14. 14.I think of a number, multiply it by 4 and then take away 3. The answer is 97. What is my number?
  15. 15.The length of a rectangle is 13 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  16. 16.Arjun has 9 coins, all ₹5 and ₹2 coins, worth ₹21 in all. How many ₹5 coins are there?
  17. 17.A pen costs ₹4 more than a pencil. 4 pens and 4 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  18. 18.Arjun has 25 coins, all ₹5 and ₹2 coins, worth ₹74 in all. How many ₹5 coins are there?
  19. 19.I think of a number, multiply it by 2 and then add 16. The answer is 42. What is my number?
  20. 20.I think of a number, multiply it by 6 and then add 11. The answer is 29. What is my number?
  21. 21.I think of a number, multiply it by 2 and then take away 30. The answer is 6. What is my number?
  22. 22.Solve for x: 4(x + 2) = x + 17. What is x?
  23. 23.The length of a rectangle is 6 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  24. 24.Meera has 24 coins, all ₹5 and ₹2 coins, worth ₹105 in all. How many ₹5 coins are there?
  25. 25.10 × ? − 15 = 135
  26. 26.Rahul has 19 coins, all ₹5 and ₹2 coins, worth ₹68 in all. How many ₹5 coins are there?
  27. 27.I think of a number, multiply it by 9 and then add 34. The answer is 52. What is my number?
  28. 28.Sneha has 14 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  29. 29.The length of a rectangle is 9 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  30. 30.Dev has 8 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  31. 31.Solve for x: 5(x + 6) = 3x + 32. What is x?
  32. 32.A pen costs ₹4 more than a pencil. 3 pens and 7 pencils cost ₹82 in all. What does one pencil cost (in ₹)?
  33. 33.Solve for x: 9(x + 2) = 7x + 42. What is x?
  34. 34.A pen costs ₹7 more than a pencil. 2 pens and 7 pencils cost ₹140 in all. What does one pencil cost (in ₹)?
  35. 35.Solve for x: 5(x + 9) = x + 81. What is x?
  36. 36.I think of a number, multiply it by 8 and then add 17. The answer is 73. What is my number?
  37. 37.11 × ? − 24 = 229
  38. 38.I think of a number, multiply it by 6 and then take away 22. The answer is 26. What is my number?
  39. 39.A pen costs ₹4 more than a pencil. 2 pens and 7 pencils cost ₹161 in all. What does one pencil cost (in ₹)?
  40. 40.The length of a rectangle is 2 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?

Answer key

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

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