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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 221 · 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: 4(x + 8) = x + 83. What is x?
  2. 2.10 × ? − 2 = 98
  3. 3.Isha has 16 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  4. 4.Solve for x: 9(x + 4) = 7x + 50. What is x?
  5. 5.Solve for x: 4(x + 7) = 3x + 29. What is x?
  6. 6.Priya has 15 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  7. 7.The length of a rectangle is 15 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  8. 8.Tara has 26 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  9. 9.11 × ? + 14 = 223
  10. 10.I think of a number, multiply it by 3 and then take away 20. The answer is 10. What is my number?
  11. 11.9 × ? − 13 = 158
  12. 12.A pen costs ₹10 more than a pencil. 2 pens and 4 pencils cost ₹122 in all. What does one pencil cost (in ₹)?
  13. 13.I think of a number, multiply it by 9 and then take away 4. The answer is 230. What is my number?
  14. 14.5 × ? + 9 = 84
  15. 15.The length of a rectangle is 4 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  16. 16.Solve for x: 7(x + 1) = 6x + 11. What is x?
  17. 17.Ananya has 13 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  18. 18.10 × ? − 28 = 32
  19. 19.A pen costs ₹10 more than a pencil. 3 pens and 4 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  20. 20.The length of a rectangle is 12 m more than its breadth. Its perimeter is 140 m. What is its breadth (in m)?
  21. 21.Isha has 13 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  22. 22.The length of a rectangle is 10 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  23. 23.I think of a number, multiply it by 5 and then take away 34. The answer is 66. What is my number?
  24. 24.Diya has 10 coins, all ₹5 and ₹2 coins, worth ₹23 in all. How many ₹5 coins are there?
  25. 25.I think of a number, multiply it by 9 and then add 37. The answer is 307. What is my number?
  26. 26.I think of a number, multiply it by 7 and then add 9. The answer is 93. What is my number?
  27. 27.I think of a number, multiply it by 6 and then take away 19. The answer is 29. What is my number?
  28. 28.Solve for x: 8(x + 7) = 4x + 68. What is x?
  29. 29.I think of a number, multiply it by 5 and then add 4. The answer is 39. What is my number?
  30. 30.Kabir has 15 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  31. 31.Arjun has 27 coins, all ₹5 and ₹2 coins, worth ₹99 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 144 m. What is its breadth (in m)?
  33. 33.I think of a number, multiply it by 4 and then add 7. The answer is 59. What is my number?
  34. 34.I think of a number, multiply it by 2 and then add 8. The answer is 68. What is my number?
  35. 35.I think of a number, multiply it by 9 and then add 40. The answer is 85. What is my number?
  36. 36.Rahul has 21 coins, all ₹5 and ₹2 coins, worth ₹75 in all. How many ₹5 coins are there?
  37. 37.A pen costs ₹2 more than a pencil. 2 pens and 5 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  38. 38.I think of a number, multiply it by 8 and then take away 32. The answer is 168. What is my number?
  39. 39.A pen costs ₹3 more than a pencil. 3 pens and 2 pencils cost ₹29 in all. What does one pencil cost (in ₹)?
  40. 40.I think of a number, multiply it by 3 and then take away 6. The answer is 66. What is my number?

Answer key

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

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