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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 435 · 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: 8(x + 1) = x + 57. What is x?
  2. 2.Ananya has 14 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  3. 3.The length of a rectangle is 11 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  4. 4.I think of a number, multiply it by 2 and then add 38. The answer is 80. What is my number?
  5. 5.The length of a rectangle is 8 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  6. 6.A pen costs ₹15 more than a pencil. 2 pens and 6 pencils cost ₹110 in all. What does one pencil cost (in ₹)?
  7. 7.Dev has 30 coins, all ₹5 and ₹2 coins, worth ₹132 in all. How many ₹5 coins are there?
  8. 8.A pen costs ₹8 more than a pencil. 2 pens and 2 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
  9. 9.The length of a rectangle is 13 m more than its breadth. Its perimeter is 138 m. What is its breadth (in m)?
  10. 10.Rohan has 24 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  11. 11.Karan has 18 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  12. 12.Diya has 10 coins, all ₹5 and ₹2 coins, worth ₹29 in all. How many ₹5 coins are there?
  13. 13.A pen costs ₹11 more than a pencil. 2 pens and 8 pencils cost ₹52 in all. What does one pencil cost (in ₹)?
  14. 14.Priya has 14 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  15. 15.A pen costs ₹8 more than a pencil. 2 pens and 2 pencils cost ₹56 in all. What does one pencil cost (in ₹)?
  16. 16.I think of a number, multiply it by 2 and then take away 3. The answer is 33. What is my number?
  17. 17.The length of a rectangle is 15 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  18. 18.I think of a number, multiply it by 6 and then take away 15. The answer is 3. What is my number?
  19. 19.Solve for x: 5(x + 2) = x + 26. What is x?
  20. 20.The length of a rectangle is 10 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  21. 21.A pen costs ₹5 more than a pencil. 3 pens and 8 pencils cost ₹59 in all. What does one pencil cost (in ₹)?
  22. 22.5 × ? + 12 = 22
  23. 23.Solve for x: 4(x + 9) = 2x + 44. What is x?
  24. 24.I think of a number, multiply it by 9 and then take away 28. The answer is 224. What is my number?
  25. 25.Priya has 18 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  26. 26.A pen costs ₹8 more than a pencil. 2 pens and 6 pencils cost ₹152 in all. What does one pencil cost (in ₹)?
  27. 27.I think of a number, multiply it by 8 and then take away 16. The answer is 64. What is my number?
  28. 28.Saanvi has 26 coins, all ₹5 and ₹2 coins, worth ₹85 in all. How many ₹5 coins are there?
  29. 29.The length of a rectangle is 12 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  30. 30.I think of a number, multiply it by 6 and then add 34. The answer is 46. What is my number?
  31. 31.The length of a rectangle is 6 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  32. 32.A pen costs ₹10 more than a pencil. 2 pens and 3 pencils cost ₹110 in all. What does one pencil cost (in ₹)?
  33. 33.Solve for x: 9(x + 5) = 7x + 65. What is x?
  34. 34.The length of a rectangle is 4 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  35. 35.The length of a rectangle is 7 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  36. 36.I think of a number, multiply it by 5 and then add 25. The answer is 175. What is my number?
  37. 37.3 × ? + 6 = 51
  38. 38.The length of a rectangle is 10 m more than its breadth. Its perimeter is 136 m. What is its breadth (in m)?
  39. 39.A pen costs ₹7 more than a pencil. 3 pens and 3 pencils cost ₹39 in all. What does one pencil cost (in ₹)?
  40. 40.I think of a number, multiply it by 5 and then take away 35. The answer is 75. What is my number?

Answer key

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

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