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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 549 · 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 2 and then take away 32. The answer is 4. What is my number?
  2. 2.4 × ? + 19 = 31
  3. 3.The length of a rectangle is 15 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  4. 4.The length of a rectangle is 10 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  5. 5.A pen costs ₹11 more than a pencil. 4 pens and 2 pencils cost ₹104 in all. What does one pencil cost (in ₹)?
  6. 6.I think of a number, multiply it by 5 and then add 34. The answer is 69. What is my number?
  7. 7.Ishaan has 30 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  8. 8.Solve for x: 4(x + 2) = x + 59. What is x?
  9. 9.10 × ? + 8 = 248
  10. 10.Rahul has 11 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  11. 11.3 × ? − 16 = 29
  12. 12.A pen costs ₹3 more than a pencil. 5 pens and 7 pencils cost ₹87 in all. What does one pencil cost (in ₹)?
  13. 13.Solve for x: 3(x + 3) = 2x + 13. What is x?
  14. 14.A pen costs ₹12 more than a pencil. 3 pens and 4 pencils cost ₹141 in all. What does one pencil cost (in ₹)?
  15. 15.I think of a number, multiply it by 2 and then add 37. The answer is 41. What is my number?
  16. 16.Solve for x: 7(x + 3) = 6x + 24. What is x?
  17. 17.7 × ? − 15 = 153
  18. 18.A pen costs ₹9 more than a pencil. 4 pens and 6 pencils cost ₹106 in all. What does one pencil cost (in ₹)?
  19. 19.Tara has 26 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  20. 20.Solve for x: 8(x + 7) = 5x + 110. What is x?
  21. 21.A pen costs ₹9 more than a pencil. 2 pens and 2 pencils cost ₹46 in all. What does one pencil cost (in ₹)?
  22. 22.7 × ? + 6 = 27
  23. 23.The length of a rectangle is 6 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  24. 24.Solve for x: 9(x + 4) = 7x + 40. What is x?
  25. 25.I think of a number, multiply it by 6 and then take away 11. The answer is 169. What is my number?
  26. 26.A pen costs ₹9 more than a pencil. 3 pens and 5 pencils cost ₹51 in all. What does one pencil cost (in ₹)?
  27. 27.Solve for x: 4(x + 1) = 3x + 9. What is x?
  28. 28.A pen costs ₹2 more than a pencil. 3 pens and 8 pencils cost ₹83 in all. What does one pencil cost (in ₹)?
  29. 29.Solve for x: 6(x + 8) = 3x + 54. What is x?
  30. 30.Diya has 24 coins, all ₹5 and ₹2 coins, worth ₹93 in all. How many ₹5 coins are there?
  31. 31.8 × ? + 10 = 34
  32. 32.The length of a rectangle is 11 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  33. 33.Solve for x: 9(x + 1) = 3x + 105. What is x?
  34. 34.8 × ? + 24 = 40
  35. 35.A pen costs ₹2 more than a pencil. 6 pens and 8 pencils cost ₹264 in all. What does one pencil cost (in ₹)?
  36. 36.I think of a number, multiply it by 4 and then add 1. The answer is 45. What is my number?
  37. 37.A pen costs ₹2 more than a pencil. 5 pens and 6 pencils cost ₹230 in all. What does one pencil cost (in ₹)?
  38. 38.6 × ? + 28 = 112
  39. 39.I think of a number, multiply it by 2 and then take away 28. The answer is 32. What is my number?
  40. 40.Ishaan has 20 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?

Answer key

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

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