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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 296 · 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.I think of a number, multiply it by 7 and then add 38. The answer is 52. What is my number?
  2. 2.Diya has 12 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  3. 3.Kavya has 25 coins, all ₹5 and ₹2 coins, worth ₹104 in all. How many ₹5 coins are there?
  4. 4.Priya has 8 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  5. 5.Farhan has 13 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  6. 6.Rahul has 10 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  7. 7.The length of a rectangle is 12 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  8. 8.I think of a number, multiply it by 8 and then add 24. The answer is 184. What is my number?
  9. 9.A pen costs ₹7 more than a pencil. 2 pens and 6 pencils cost ₹134 in all. What does one pencil cost (in ₹)?
  10. 10.5 × ? + 15 = 85
  11. 11.Solve for x: 3(x + 5) = 2x + 32. What is x?
  12. 12.The length of a rectangle is 15 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  13. 13.A pen costs ₹8 more than a pencil. 5 pens and 8 pencils cost ₹131 in all. What does one pencil cost (in ₹)?
  14. 14.I think of a number, multiply it by 2 and then take away 29. The answer is 7. What is my number?
  15. 15.A pen costs ₹10 more than a pencil. 6 pens and 4 pencils cost ₹190 in all. What does one pencil cost (in ₹)?
  16. 16.A pen costs ₹8 more than a pencil. 4 pens and 6 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
  17. 17.Solve for x: 6(x + 5) = x + 75. What is x?
  18. 18.The length of a rectangle is 15 m more than its breadth. Its perimeter is 150 m. What is its breadth (in m)?
  19. 19.Diya has 21 coins, all ₹5 and ₹2 coins, worth ₹72 in all. How many ₹5 coins are there?
  20. 20.Solve for x: 4(x + 8) = x + 92. What is x?
  21. 21.A pen costs ₹11 more than a pencil. 2 pens and 7 pencils cost ₹157 in all. What does one pencil cost (in ₹)?
  22. 22.A pen costs ₹4 more than a pencil. 6 pens and 3 pencils cost ₹87 in all. What does one pencil cost (in ₹)?
  23. 23.9 × ? − 3 = 114
  24. 24.I think of a number, multiply it by 9 and then take away 33. The answer is 3. What is my number?
  25. 25.Solve for x: 3(x + 2) = 2x + 25. What is x?
  26. 26.Saanvi has 15 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  27. 27.The length of a rectangle is 11 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  28. 28.I think of a number, multiply it by 2 and then take away 5. The answer is 15. What is my number?
  29. 29.6 × ? + 5 = 59
  30. 30.Solve for x: 3(x + 9) = x + 31. What is x?
  31. 31.Solve for x: 3(x + 1) = 2x + 5. What is x?
  32. 32.Solve for x: 7(x + 2) = x + 86. What is x?
  33. 33.The length of a rectangle is 15 m more than its breadth. Its perimeter is 142 m. What is its breadth (in m)?
  34. 34.A pen costs ₹14 more than a pencil. 5 pens and 4 pencils cost ₹97 in all. What does one pencil cost (in ₹)?
  35. 35.I think of a number, multiply it by 3 and then add 23. The answer is 95. What is my number?
  36. 36.Solve for x: 4(x + 8) = 3x + 42. What is x?
  37. 37.Solve for x: 5(x + 6) = 2x + 45. What is x?
  38. 38.The length of a rectangle is 3 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  39. 39.A pen costs ₹4 more than a pencil. 6 pens and 3 pencils cost ₹51 in all. What does one pencil cost (in ₹)?
  40. 40.8 × ? + 7 = 71

Answer key

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

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