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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 132 · 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. 1.3 × ? + 10 = 58
  2. 2.5 × ? − 18 = 62
  3. 3.I think of a number, multiply it by 6 and then take away 25. The answer is 137. What is my number?
  4. 4.8 × ? + 19 = 67
  5. 5.12 × ? − 7 = 221
  6. 6.The length of a rectangle is 9 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  7. 7.A pen costs ₹15 more than a pencil. 5 pens and 7 pencils cost ₹291 in all. What does one pencil cost (in ₹)?
  8. 8.Solve for x: 8(x + 9) = 7x + 86. What is x?
  9. 9.The length of a rectangle is 5 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  10. 10.I think of a number, multiply it by 6 and then add 38. The answer is 146. What is my number?
  11. 11.The length of a rectangle is 2 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  12. 12.Solve for x: 8(x + 8) = 6x + 90. What is x?
  13. 13.I think of a number, multiply it by 9 and then add 13. The answer is 229. What is my number?
  14. 14.Ananya has 12 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  15. 15.I think of a number, multiply it by 5 and then add 39. The answer is 139. What is my number?
  16. 16.I think of a number, multiply it by 9 and then take away 1. The answer is 152. What is my number?
  17. 17.I think of a number, multiply it by 2 and then add 13. The answer is 19. What is my number?
  18. 18.The length of a rectangle is 4 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  19. 19.12 × ? + 24 = 60
  20. 20.A pen costs ₹11 more than a pencil. 3 pens and 6 pencils cost ₹204 in all. What does one pencil cost (in ₹)?
  21. 21.Solve for x: 3(x + 9) = 2x + 39. What is x?
  22. 22.Zoya has 9 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  23. 23.A pen costs ₹14 more than a pencil. 2 pens and 2 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  24. 24.Solve for x: 6(x + 2) = 2x + 28. What is x?
  25. 25.Solve for x: 4(x + 7) = 2x + 58. What is x?
  26. 26.I think of a number, multiply it by 9 and then take away 22. The answer is 212. What is my number?
  27. 27.I think of a number, multiply it by 4 and then add 32. The answer is 100. What is my number?
  28. 28.6 × ? + 13 = 37
  29. 29.6 × ? + 1 = 115
  30. 30.Solve for x: 8(x + 2) = 7x + 19. What is x?
  31. 31.I think of a number, multiply it by 2 and then take away 5. The answer is 13. What is my number?
  32. 32.The length of a rectangle is 8 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  33. 33.A pen costs ₹10 more than a pencil. 3 pens and 3 pencils cost ₹150 in all. What does one pencil cost (in ₹)?
  34. 34.Aditya has 12 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  35. 35.3 × ? + 5 = 53
  36. 36.The length of a rectangle is 13 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  37. 37.11 × ? − 28 = 93
  38. 38.I think of a number, multiply it by 2 and then add 24. The answer is 30. What is my number?
  39. 39.The length of a rectangle is 12 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  40. 40.Nisha has 11 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?

Answer key

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

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