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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 193 · 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 9 and then add 24. The answer is 114. What is my number?
  2. 2.Solve for x: 5(x + 7) = 2x + 50. What is x?
  3. 3.I think of a number, multiply it by 4 and then add 8. The answer is 80. What is my number?
  4. 4.Solve for x: 6(x + 5) = 2x + 66. What is x?
  5. 5.I think of a number, multiply it by 4 and then take away 26. The answer is 90. What is my number?
  6. 6.5 × ? − 2 = 78
  7. 7.11 × ? + 28 = 105
  8. 8.I think of a number, multiply it by 7 and then take away 16. The answer is 68. What is my number?
  9. 9.I think of a number, multiply it by 2 and then take away 31. The answer is 25. What is my number?
  10. 10.Aditya has 11 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  11. 11.Rahul has 21 coins, all ₹5 and ₹2 coins, worth ₹81 in all. How many ₹5 coins are there?
  12. 12.Meera has 11 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  13. 13.Arjun has 9 coins, all ₹5 and ₹2 coins, worth ₹21 in all. How many ₹5 coins are there?
  14. 14.I think of a number, multiply it by 7 and then take away 14. The answer is 84. What is my number?
  15. 15.Pooja has 11 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  16. 16.I think of a number, multiply it by 3 and then take away 33. The answer is 12. What is my number?
  17. 17.Rohan has 11 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  18. 18.The length of a rectangle is 7 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  19. 19.Solve for x: 9(x + 8) = 7x + 94. What is x?
  20. 20.5 × ? + 21 = 51
  21. 21.Solve for x: 8(x + 2) = 7x + 30. What is x?
  22. 22.I think of a number, multiply it by 5 and then take away 25. The answer is 95. What is my number?
  23. 23.4 × ? + 28 = 96
  24. 24.2 × ? − 5 = 19
  25. 25.A pen costs ₹5 more than a pencil. 2 pens and 7 pencils cost ₹55 in all. What does one pencil cost (in ₹)?
  26. 26.Priya has 29 coins, all ₹5 and ₹2 coins, worth ₹130 in all. How many ₹5 coins are there?
  27. 27.10 × ? + 20 = 50
  28. 28.A pen costs ₹8 more than a pencil. 3 pens and 5 pencils cost ₹152 in all. What does one pencil cost (in ₹)?
  29. 29.A pen costs ₹12 more than a pencil. 2 pens and 6 pencils cost ₹80 in all. What does one pencil cost (in ₹)?
  30. 30.Saanvi has 23 coins, all ₹5 and ₹2 coins, worth ₹73 in all. How many ₹5 coins are there?
  31. 31.I think of a number, multiply it by 2 and then add 12. The answer is 60. What is my number?
  32. 32.A pen costs ₹9 more than a pencil. 2 pens and 4 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  33. 33.Meera has 11 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  34. 34.Solve for x: 6(x + 2) = 5x + 32. What is x?
  35. 35.A pen costs ₹10 more than a pencil. 3 pens and 2 pencils cost ₹55 in all. What does one pencil cost (in ₹)?
  36. 36.Solve for x: 8(x + 1) = 5x + 29. What is x?
  37. 37.Solve for x: 8(x + 4) = 5x + 80. What is x?
  38. 38.Solve for x: 8(x + 1) = x + 113. What is x?
  39. 39.Solve for x: 8(x + 1) = 5x + 53. What is x?
  40. 40.Aarav has 11 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?

Answer key

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

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