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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 572 · 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: 3(x + 1) = x + 11. What is x?
  2. 2.The length of a rectangle is 3 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  3. 3.A pen costs ₹10 more than a pencil. 5 pens and 7 pencils cost ₹146 in all. What does one pencil cost (in ₹)?
  4. 4.I think of a number, multiply it by 4 and then add 33. The answer is 113. What is my number?
  5. 5.Isha has 22 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  6. 6.8 × ? − 4 = 108
  7. 7.A pen costs ₹7 more than a pencil. 2 pens and 6 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
  8. 8.Solve for x: 7(x + 6) = 3x + 122. What is x?
  9. 9.Solve for x: 9(x + 1) = 6x + 39. What is x?
  10. 10.I think of a number, multiply it by 8 and then add 3. The answer is 59. What is my number?
  11. 11.Zoya has 29 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  12. 12.8 × ? − 6 = 34
  13. 13.The length of a rectangle is 15 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  14. 14.A pen costs ₹2 more than a pencil. 2 pens and 7 pencils cost ₹121 in all. What does one pencil cost (in ₹)?
  15. 15.A pen costs ₹5 more than a pencil. 2 pens and 4 pencils cost ₹40 in all. What does one pencil cost (in ₹)?
  16. 16.The length of a rectangle is 8 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  17. 17.Ishaan has 21 coins, all ₹5 and ₹2 coins, worth ₹93 in all. How many ₹5 coins are there?
  18. 18.Saanvi has 30 coins, all ₹5 and ₹2 coins, worth ₹75 in all. How many ₹5 coins are there?
  19. 19.4 × ? + 4 = 64
  20. 20.Tara has 10 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  21. 21.A pen costs ₹7 more than a pencil. 2 pens and 3 pencils cost ₹34 in all. What does one pencil cost (in ₹)?
  22. 22.The length of a rectangle is 14 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  23. 23.A pen costs ₹10 more than a pencil. 3 pens and 6 pencils cost ₹165 in all. What does one pencil cost (in ₹)?
  24. 24.The length of a rectangle is 6 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  25. 25.A pen costs ₹2 more than a pencil. 5 pens and 3 pencils cost ₹42 in all. What does one pencil cost (in ₹)?
  26. 26.I think of a number, multiply it by 4 and then add 21. The answer is 65. What is my number?
  27. 27.Solve for x: 4(x + 6) = 2x + 48. What is x?
  28. 28.I think of a number, multiply it by 4 and then add 5. The answer is 101. What is my number?
  29. 29.Farhan has 29 coins, all ₹5 and ₹2 coins, worth ₹88 in all. How many ₹5 coins are there?
  30. 30.I think of a number, multiply it by 9 and then take away 33. The answer is 93. What is my number?
  31. 31.Dev has 14 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  32. 32.9 × ? + 6 = 33
  33. 33.2 × ? + 30 = 50
  34. 34.Solve for x: 7(x + 4) = 5x + 58. What is x?
  35. 35.Solve for x: 8(x + 6) = 3x + 73. What is x?
  36. 36.I think of a number, multiply it by 4 and then take away 22. The answer is 6. What is my number?
  37. 37.The length of a rectangle is 9 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  38. 38.I think of a number, multiply it by 7 and then add 19. The answer is 47. What is my number?
  39. 39.I think of a number, multiply it by 2 and then add 5. The answer is 11. What is my number?
  40. 40.The length of a rectangle is 5 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?

Answer key

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

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