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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 923 · 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.The length of a rectangle is 9 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  2. 2.A pen costs ₹6 more than a pencil. 3 pens and 5 pencils cost ₹138 in all. What does one pencil cost (in ₹)?
  3. 3.2 × ? + 21 = 51
  4. 4.The length of a rectangle is 3 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  5. 5.I think of a number, multiply it by 9 and then add 38. The answer is 209. What is my number?
  6. 6.Karan has 18 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  7. 7.3 × ? − 5 = 37
  8. 8.Zoya has 10 coins, all ₹5 and ₹2 coins, worth ₹32 in all. How many ₹5 coins are there?
  9. 9.2 × ? − 24 = 6
  10. 10.2 × ? + 6 = 14
  11. 11.Solve for x: 3(x + 9) = x + 65. What is x?
  12. 12.The length of a rectangle is 6 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  13. 13.A pen costs ₹3 more than a pencil. 5 pens and 3 pencils cost ₹95 in all. What does one pencil cost (in ₹)?
  14. 14.A pen costs ₹4 more than a pencil. 5 pens and 5 pencils cost ₹70 in all. What does one pencil cost (in ₹)?
  15. 15.A pen costs ₹4 more than a pencil. 4 pens and 2 pencils cost ₹34 in all. What does one pencil cost (in ₹)?
  16. 16.10 × ? + 24 = 154
  17. 17.Solve for x: 4(x + 7) = x + 85. What is x?
  18. 18.A pen costs ₹7 more than a pencil. 2 pens and 8 pencils cost ₹164 in all. What does one pencil cost (in ₹)?
  19. 19.12 × ? − 12 = 24
  20. 20.I think of a number, multiply it by 6 and then take away 15. The answer is 87. What is my number?
  21. 21.I think of a number, multiply it by 4 and then take away 24. The answer is 12. What is my number?
  22. 22.A pen costs ₹12 more than a pencil. 2 pens and 5 pencils cost ₹52 in all. What does one pencil cost (in ₹)?
  23. 23.Solve for x: 3(x + 9) = x + 53. What is x?
  24. 24.Ananya has 20 coins, all ₹5 and ₹2 coins, worth ₹97 in all. How many ₹5 coins are there?
  25. 25.Dev has 17 coins, all ₹5 and ₹2 coins, worth ₹58 in all. How many ₹5 coins are there?
  26. 26.Solve for x: 8(x + 3) = 6x + 58. What is x?
  27. 27.6 × ? + 15 = 165
  28. 28.The length of a rectangle is 14 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  29. 29.Solve for x: 3(x + 4) = 2x + 22. What is x?
  30. 30.A pen costs ₹14 more than a pencil. 2 pens and 6 pencils cost ₹52 in all. What does one pencil cost (in ₹)?
  31. 31.Aarav has 22 coins, all ₹5 and ₹2 coins, worth ₹80 in all. How many ₹5 coins are there?
  32. 32.I think of a number, multiply it by 9 and then add 21. The answer is 282. What is my number?
  33. 33.The length of a rectangle is 8 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  34. 34.A pen costs ₹14 more than a pencil. 3 pens and 4 pencils cost ₹77 in all. What does one pencil cost (in ₹)?
  35. 35.8 × ? + 19 = 35
  36. 36.Solve for x: 3(x + 1) = 2x + 18. What is x?
  37. 37.I think of a number, multiply it by 8 and then take away 39. The answer is 73. What is my number?
  38. 38.A pen costs ₹4 more than a pencil. 3 pens and 2 pencils cost ₹77 in all. What does one pencil cost (in ₹)?
  39. 39.Solve for x: 8(x + 8) = 4x + 96. What is x?
  40. 40.The length of a rectangle is 11 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?

Answer key

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

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