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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 186 · 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 6 and then take away 1. The answer is 155. What is my number?
  2. 2.A pen costs ₹4 more than a pencil. 2 pens and 4 pencils cost ₹122 in all. What does one pencil cost (in ₹)?
  3. 3.Zoya has 14 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  4. 4.4 × ? − 5 = 3
  5. 5.Solve for x: 4(x + 5) = x + 26. What is x?
  6. 6.Solve for x: 7(x + 4) = 4x + 64. What is x?
  7. 7.The length of a rectangle is 4 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  8. 8.5 × ? − 16 = 49
  9. 9.Isha has 24 coins, all ₹5 and ₹2 coins, worth ₹102 in all. How many ₹5 coins are there?
  10. 10.Solve for x: 5(x + 3) = 3x + 49. What is x?
  11. 11.A pen costs ₹5 more than a pencil. 3 pens and 3 pencils cost ₹63 in all. What does one pencil cost (in ₹)?
  12. 12.3 × ? − 2 = 64
  13. 13.I think of a number, multiply it by 7 and then add 18. The answer is 88. What is my number?
  14. 14.A pen costs ₹7 more than a pencil. 3 pens and 5 pencils cost ₹133 in all. What does one pencil cost (in ₹)?
  15. 15.10 × ? + 30 = 180
  16. 16.A pen costs ₹3 more than a pencil. 4 pens and 2 pencils cost ₹48 in all. What does one pencil cost (in ₹)?
  17. 17.I think of a number, multiply it by 9 and then take away 12. The answer is 114. What is my number?
  18. 18.A pen costs ₹7 more than a pencil. 2 pens and 3 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  19. 19.A pen costs ₹14 more than a pencil. 2 pens and 5 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  20. 20.A pen costs ₹10 more than a pencil. 4 pens and 8 pencils cost ₹232 in all. What does one pencil cost (in ₹)?
  21. 21.Solve for x: 3(x + 2) = x + 14. What is x?
  22. 22.Ishaan has 23 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  23. 23.Solve for x: 4(x + 9) = x + 57. What is x?
  24. 24.I think of a number, multiply it by 6 and then take away 3. The answer is 171. What is my number?
  25. 25.Arjun has 28 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  26. 26.The length of a rectangle is 13 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  27. 27.I think of a number, multiply it by 3 and then add 40. The answer is 76. What is my number?
  28. 28.The length of a rectangle is 10 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  29. 29.6 × ? + 7 = 103
  30. 30.Solve for x: 5(x + 3) = x + 63. What is x?
  31. 31.The length of a rectangle is 10 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  32. 32.I think of a number, multiply it by 4 and then take away 16. The answer is 4. What is my number?
  33. 33.A pen costs ₹3 more than a pencil. 2 pens and 7 pencils cost ₹159 in all. What does one pencil cost (in ₹)?
  34. 34.A pen costs ₹3 more than a pencil. 3 pens and 6 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  35. 35.A pen costs ₹6 more than a pencil. 3 pens and 2 pencils cost ₹93 in all. What does one pencil cost (in ₹)?
  36. 36.I think of a number, multiply it by 6 and then take away 19. The answer is 119. What is my number?
  37. 37.Solve for x: 9(x + 2) = x + 34. What is x?
  38. 38.Solve for x: 3(x + 2) = 2x + 16. What is x?
  39. 39.Solve for x: 9(x + 5) = 4x + 95. What is x?
  40. 40.The length of a rectangle is 6 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?

Answer key

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

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