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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 895 · 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 2 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  2. 2.Solve for x: 3(x + 4) = 2x + 30. What is x?
  3. 3.The length of a rectangle is 6 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  4. 4.Diya has 16 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  5. 5.The length of a rectangle is 14 m more than its breadth. Its perimeter is 136 m. What is its breadth (in m)?
  6. 6.The length of a rectangle is 13 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  7. 7.Rahul has 13 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  8. 8.A pen costs ₹12 more than a pencil. 5 pens and 2 pencils cost ₹151 in all. What does one pencil cost (in ₹)?
  9. 9.I think of a number, multiply it by 2 and then take away 7. The answer is 7. What is my number?
  10. 10.Solve for x: 7(x + 8) = 5x + 60. What is x?
  11. 11.Solve for x: 4(x + 5) = 2x + 48. What is x?
  12. 12.I think of a number, multiply it by 7 and then add 39. The answer is 200. What is my number?
  13. 13.Ishaan has 25 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  14. 14.The length of a rectangle is 5 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  15. 15.8 × ? + 19 = 139
  16. 16.The length of a rectangle is 12 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  17. 17.Priya has 26 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?
  18. 18.Solve for x: 3(x + 3) = x + 43. What is x?
  19. 19.I think of a number, multiply it by 9 and then add 17. The answer is 143. What is my number?
  20. 20.Sneha has 27 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  21. 21.Ananya has 21 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  22. 22.Solve for x: 3(x + 6) = x + 26. What is x?
  23. 23.A pen costs ₹12 more than a pencil. 4 pens and 4 pencils cost ₹200 in all. What does one pencil cost (in ₹)?
  24. 24.A pen costs ₹10 more than a pencil. 3 pens and 5 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  25. 25.Solve for x: 7(x + 8) = 6x + 60. What is x?
  26. 26.Kavya has 11 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  27. 27.Diya has 13 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  28. 28.Priya has 12 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  29. 29.A pen costs ₹5 more than a pencil. 3 pens and 4 pencils cost ₹64 in all. What does one pencil cost (in ₹)?
  30. 30.I think of a number, multiply it by 4 and then take away 37. The answer is 63. What is my number?
  31. 31.Meera has 16 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  32. 32.The length of a rectangle is 12 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  33. 33.I think of a number, multiply it by 4 and then take away 17. The answer is 71. What is my number?
  34. 34.A pen costs ₹11 more than a pencil. 6 pens and 2 pencils cost ₹122 in all. What does one pencil cost (in ₹)?
  35. 35.Ishaan has 11 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  36. 36.Solve for x: 4(x + 6) = x + 30. What is x?
  37. 37.The length of a rectangle is 4 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  38. 38.Solve for x: 8(x + 6) = 4x + 64. What is x?
  39. 39.A pen costs ₹15 more than a pencil. 5 pens and 6 pencils cost ₹273 in all. What does one pencil cost (in ₹)?
  40. 40.Kabir has 10 coins, all ₹5 and ₹2 coins, worth ₹23 in all. How many ₹5 coins are there?

Answer key

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

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