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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 279 · 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.Solve for x: 8(x + 9) = 7x + 86. What is x?
  2. 2.The length of a rectangle is 7 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  3. 3.Diya has 9 coins, all ₹5 and ₹2 coins, worth ₹21 in all. How many ₹5 coins are there?
  4. 4.The length of a rectangle is 10 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  5. 5.Rahul has 17 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?
  6. 6.I think of a number, multiply it by 4 and then take away 22. The answer is 54. What is my number?
  7. 7.Aditya has 12 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  8. 8.A pen costs ₹9 more than a pencil. 2 pens and 7 pencils cost ₹135 in all. What does one pencil cost (in ₹)?
  9. 9.Kavya has 29 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?
  10. 10.4 × ? + 18 = 110
  11. 11.A pen costs ₹3 more than a pencil. 2 pens and 4 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  12. 12.I think of a number, multiply it by 4 and then add 28. The answer is 116. What is my number?
  13. 13.I think of a number, multiply it by 8 and then add 9. The answer is 145. What is my number?
  14. 14.Solve for x: 3(x + 2) = x + 18. What is x?
  15. 15.Solve for x: 3(x + 3) = x + 37. What is x?
  16. 16.Solve for x: 8(x + 2) = 7x + 25. What is x?
  17. 17.Solve for x: 3(x + 6) = 2x + 35. What is x?
  18. 18.Diya has 8 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  19. 19.9 × ? + 15 = 114
  20. 20.The length of a rectangle is 8 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  21. 21.Solve for x: 5(x + 2) = 2x + 13. What is x?
  22. 22.A pen costs ₹4 more than a pencil. 2 pens and 5 pencils cost ₹57 in all. What does one pencil cost (in ₹)?
  23. 23.Solve for x: 6(x + 3) = 3x + 33. What is x?
  24. 24.I think of a number, multiply it by 9 and then add 29. The answer is 155. What is my number?
  25. 25.The length of a rectangle is 13 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  26. 26.Kavya has 19 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  27. 27.I think of a number, multiply it by 7 and then add 9. The answer is 72. What is my number?
  28. 28.A pen costs ₹14 more than a pencil. 4 pens and 4 pencils cost ₹176 in all. What does one pencil cost (in ₹)?
  29. 29.9 × ? − 14 = 13
  30. 30.7 × ? + 7 = 161
  31. 31.A pen costs ₹11 more than a pencil. 6 pens and 8 pencils cost ₹164 in all. What does one pencil cost (in ₹)?
  32. 32.The length of a rectangle is 12 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  33. 33.I think of a number, multiply it by 9 and then add 35. The answer is 242. What is my number?
  34. 34.The length of a rectangle is 12 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  35. 35.A pen costs ₹5 more than a pencil. 5 pens and 8 pencils cost ₹220 in all. What does one pencil cost (in ₹)?
  36. 36.Solve for x: 6(x + 5) = 3x + 81. What is x?
  37. 37.12 × ? − 10 = 86
  38. 38.Vivaan has 21 coins, all ₹5 and ₹2 coins, worth ₹72 in all. How many ₹5 coins are there?
  39. 39.Ananya has 18 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  40. 40.A pen costs ₹15 more than a pencil. 4 pens and 8 pencils cost ₹288 in all. What does one pencil cost (in ₹)?

Answer key

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

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