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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 938 · 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: 4(x + 8) = x + 44. What is x?
  2. 2.A pen costs ₹13 more than a pencil. 5 pens and 5 pencils cost ₹105 in all. What does one pencil cost (in ₹)?
  3. 3.A pen costs ₹14 more than a pencil. 6 pens and 8 pencils cost ₹364 in all. What does one pencil cost (in ₹)?
  4. 4.Aarav has 14 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  5. 5.The length of a rectangle is 6 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  6. 6.Solve for x: 9(x + 4) = 3x + 150. What is x?
  7. 7.A pen costs ₹3 more than a pencil. 3 pens and 7 pencils cost ₹109 in all. What does one pencil cost (in ₹)?
  8. 8.Solve for x: 5(x + 6) = 2x + 51. What is x?
  9. 9.Meera has 11 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
  10. 10.The length of a rectangle is 8 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  11. 11.A pen costs ₹6 more than a pencil. 2 pens and 2 pencils cost ₹28 in all. What does one pencil cost (in ₹)?
  12. 12.Solve for x: 4(x + 8) = x + 74. What is x?
  13. 13.Dev has 18 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?
  14. 14.The length of a rectangle is 4 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  15. 15.I think of a number, multiply it by 5 and then add 7. The answer is 32. What is my number?
  16. 16.11 × ? − 21 = 232
  17. 17.Arjun has 11 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  18. 18.I think of a number, multiply it by 8 and then add 17. The answer is 57. What is my number?
  19. 19.I think of a number, multiply it by 8 and then add 15. The answer is 215. What is my number?
  20. 20.I think of a number, multiply it by 2 and then add 16. The answer is 40. What is my number?
  21. 21.Saanvi has 25 coins, all ₹5 and ₹2 coins, worth ₹122 in all. How many ₹5 coins are there?
  22. 22.The length of a rectangle is 6 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  23. 23.2 × ? + 5 = 21
  24. 24.Aarav has 11 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  25. 25.I think of a number, multiply it by 2 and then take away 28. The answer is 10. What is my number?
  26. 26.The length of a rectangle is 2 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  27. 27.Farhan has 10 coins, all ₹5 and ₹2 coins, worth ₹32 in all. How many ₹5 coins are there?
  28. 28.Dev has 8 coins, all ₹5 and ₹2 coins, worth ₹22 in all. How many ₹5 coins are there?
  29. 29.Solve for x: 9(x + 3) = 5x + 67. What is x?
  30. 30.A pen costs ₹8 more than a pencil. 3 pens and 6 pencils cost ₹69 in all. What does one pencil cost (in ₹)?
  31. 31.I think of a number, multiply it by 9 and then add 21. The answer is 201. What is my number?
  32. 32.10 × ? − 27 = 103
  33. 33.The length of a rectangle is 2 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  34. 34.The length of a rectangle is 4 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  35. 35.Solve for x: 6(x + 9) = 5x + 73. What is x?
  36. 36.Nisha has 18 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  37. 37.Solve for x: 9(x + 4) = 8x + 48. What is x?
  38. 38.Solve for x: 4(x + 5) = 2x + 22. What is x?
  39. 39.The length of a rectangle is 5 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  40. 40.The length of a rectangle is 3 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?

Answer key

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

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