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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 608 · 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: 6(x + 3) = 3x + 27. What is x?
  2. 2.12 × ? + 15 = 291
  3. 3.The length of a rectangle is 13 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  4. 4.A pen costs ₹2 more than a pencil. 3 pens and 5 pencils cost ₹30 in all. What does one pencil cost (in ₹)?
  5. 5.A pen costs ₹2 more than a pencil. 3 pens and 4 pencils cost ₹41 in all. What does one pencil cost (in ₹)?
  6. 6.I think of a number, multiply it by 4 and then take away 14. The answer is 26. What is my number?
  7. 7.I think of a number, multiply it by 5 and then take away 25. The answer is 90. What is my number?
  8. 8.A pen costs ₹12 more than a pencil. 2 pens and 2 pencils cost ₹48 in all. What does one pencil cost (in ₹)?
  9. 9.7 × ? − 1 = 104
  10. 10.Solve for x: 4(x + 8) = x + 92. What is x?
  11. 11.I think of a number, multiply it by 7 and then take away 7. The answer is 70. What is my number?
  12. 12.The length of a rectangle is 3 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  13. 13.6 × ? + 9 = 135
  14. 14.Ishaan has 30 coins, all ₹5 and ₹2 coins, worth ₹111 in all. How many ₹5 coins are there?
  15. 15.A pen costs ₹8 more than a pencil. 6 pens and 5 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  16. 16.Solve for x: 3(x + 7) = x + 29. What is x?
  17. 17.I think of a number, multiply it by 6 and then take away 6. The answer is 138. What is my number?
  18. 18.A pen costs ₹9 more than a pencil. 2 pens and 4 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  19. 19.A pen costs ₹5 more than a pencil. 6 pens and 6 pencils cost ₹222 in all. What does one pencil cost (in ₹)?
  20. 20.Solve for x: 3(x + 5) = 2x + 18. What is x?
  21. 21.A pen costs ₹14 more than a pencil. 4 pens and 6 pencils cost ₹106 in all. What does one pencil cost (in ₹)?
  22. 22.A pen costs ₹14 more than a pencil. 3 pens and 4 pencils cost ₹63 in all. What does one pencil cost (in ₹)?
  23. 23.Kavya has 8 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  24. 24.2 × ? + 7 = 27
  25. 25.The length of a rectangle is 8 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  26. 26.Solve for x: 7(x + 8) = 4x + 77. What is x?
  27. 27.Priya has 15 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  28. 28.Solve for x: 3(x + 2) = x + 12. What is x?
  29. 29.A pen costs ₹6 more than a pencil. 5 pens and 3 pencils cost ₹166 in all. What does one pencil cost (in ₹)?
  30. 30.I think of a number, multiply it by 7 and then add 15. The answer is 155. What is my number?
  31. 31.A pen costs ₹9 more than a pencil. 3 pens and 7 pencils cost ₹167 in all. What does one pencil cost (in ₹)?
  32. 32.The length of a rectangle is 2 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  33. 33.I think of a number, multiply it by 5 and then add 2. The answer is 47. What is my number?
  34. 34.The length of a rectangle is 6 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  35. 35.I think of a number, multiply it by 7 and then add 5. The answer is 47. What is my number?
  36. 36.Solve for x: 3(x + 6) = 2x + 29. What is x?
  37. 37.Ishaan has 24 coins, all ₹5 and ₹2 coins, worth ₹72 in all. How many ₹5 coins are there?
  38. 38.2 × ? + 12 = 20
  39. 39.A pen costs ₹9 more than a pencil. 2 pens and 6 pencils cost ₹66 in all. What does one pencil cost (in ₹)?
  40. 40.I think of a number, multiply it by 8 and then add 40. The answer is 240. What is my number?

Answer key

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

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