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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 589 · 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.

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  1. 1.7 × ? + 19 = 33
  2. 2.Solve for x: 6(x + 7) = 2x + 50. What is x?
  3. 3.5 × ? + 15 = 50
  4. 4.Solve for x: 6(x + 2) = 3x + 39. What is x?
  5. 5.Rohan has 8 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  6. 6.Saanvi has 16 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  7. 7.Solve for x: 6(x + 1) = 2x + 30. What is x?
  8. 8.I think of a number, multiply it by 5 and then take away 25. The answer is 60. What is my number?
  9. 9.Ishaan has 30 coins, all ₹5 and ₹2 coins, worth ₹120 in all. How many ₹5 coins are there?
  10. 10.The length of a rectangle is 2 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  11. 11.10 × ? − 17 = 93
  12. 12.2 × ? + 17 = 31
  13. 13.A pen costs ₹13 more than a pencil. 5 pens and 4 pencils cost ₹119 in all. What does one pencil cost (in ₹)?
  14. 14.The length of a rectangle is 14 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  15. 15.Arjun has 18 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  16. 16.12 × ? + 27 = 75
  17. 17.12 × ? − 9 = 123
  18. 18.Solve for x: 3(x + 7) = x + 35. What is x?
  19. 19.2 × ? − 1 = 13
  20. 20.I think of a number, multiply it by 3 and then take away 39. The answer is 24. What is my number?
  21. 21.Solve for x: 7(x + 9) = x + 141. What is x?
  22. 22.3 × ? − 12 = 6
  23. 23.3 × ? − 8 = 13
  24. 24.Solve for x: 6(x + 5) = 4x + 60. What is x?
  25. 25.Karan has 19 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  26. 26.The length of a rectangle is 7 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  27. 27.10 × ? + 16 = 86
  28. 28.A pen costs ₹10 more than a pencil. 2 pens and 3 pencils cost ₹75 in all. What does one pencil cost (in ₹)?
  29. 29.Priya has 26 coins, all ₹5 and ₹2 coins, worth ₹94 in all. How many ₹5 coins are there?
  30. 30.A pen costs ₹7 more than a pencil. 3 pens and 5 pencils cost ₹85 in all. What does one pencil cost (in ₹)?
  31. 31.I think of a number, multiply it by 2 and then take away 39. The answer is 3. What is my number?
  32. 32.Pooja has 19 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  33. 33.A pen costs ₹4 more than a pencil. 3 pens and 4 pencils cost ₹75 in all. What does one pencil cost (in ₹)?
  34. 34.A pen costs ₹15 more than a pencil. 6 pens and 4 pencils cost ₹220 in all. What does one pencil cost (in ₹)?
  35. 35.I think of a number, multiply it by 7 and then add 21. The answer is 91. What is my number?
  36. 36.Zoya has 26 coins, all ₹5 and ₹2 coins, worth ₹109 in all. How many ₹5 coins are there?
  37. 37.I think of a number, multiply it by 9 and then take away 8. The answer is 181. What is my number?
  38. 38.11 × ? + 6 = 105
  39. 39.Solve for x: 9(x + 1) = x + 113. What is x?
  40. 40.I think of a number, multiply it by 7 and then add 17. The answer is 199. What is my number?

Answer key

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

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