Algebra 2/Trig1



Algebra 2 / Trig Name

Unit 3 Exam Review Sheet Block Date

Decide whether the following equations are an example of direct or indirect variation or neither.

1. [pic] 2. [pic] 3. [pic]

4. The variables x and y vary inversely, when [pic]. Write an equation relating x and y. Then find y when x = -2.

Determine whether x and y show direct or inverse variation or neither. Write an equation describing the relationship.

5. 6. 7.

|x |y |

|-2 |45 |

|-1 |90 |

|3 |-30 |

|4 |-22.5 |

|9 |-10 |

|x |y |

|-12 |-3 |

|-4 |-1 |

|8 |2 |

|20 |5 |

|30 |7.5 |

|x |Y |

|-12 |51 |

|-6 |27 |

|0 |3 |

|1 |-1 |

|9 |-33 |

Perform the indicated operation. Simplify the result.

8. [pic] 9. [pic] 10. [pic]

11. [pic] 12. [pic] 13. [pic]

14. [pic] 15. [pic] 16. [pic]

_________________________________________________________________________________

17. [pic] 18. [pic] 19. [pic]

20. [pic] 21. [pic]

22. [pic] 23. [pic]

Simplify the complex fraction.

24. [pic] 25. [pic] 26. [pic]

27. [pic] 28. [pic] 29. [pic]

Solve the equation using any method. Check each solution.

30. [pic] 31. [pic]

32. [pic] 33. [pic]

34. [pic] 35. [pic]

APPLICATIONS

36. At a factory, gallons of paint are produced by a machine in accordance to the formula [pic] where G = the number of gallons produced, and h = the number of hours the paint-making machine works. How many hours does the machine need to work to produce 200 gallons of paint?

37. The number of bottles produced by a machine at a plant is given by the equation [pic].

B = the number of bottles, and m = the number of minutes the machine works.

a) Simplify the expression above

b) If the plant’s machine works for 10 minutes, how many bottles does it produce?

Algebra 2 / Trig Name

Unit 3 Exam Review Sheet Block Date

Decide whether the following equations are an example of direct or indirect variation or neither.

1. [pic] 2. [pic] 3. [pic]

4. The variables x and y vary inversely, when [pic]. Write an equation relating x and y. Then find y when x = -2.

Determine whether x and y show direct or inverse variation or neither, then write an equation describing the relationship.

5. 6. 7.

|x |y |

|-2 |45 |

|-1 |90 |

|3 |-30 |

|4 |-22.5 |

|9 |-10 |

|x |y |

|-12 |-3 |

|-4 |-1 |

|8 |2 |

|20 |5 |

|30 |7.5 |

|x |Y |

|-12 |51 |

|-6 |27 |

|0 |3 |

|1 |-1 |

|9 |-33 |

Perform the indicated operation. Simplify the result.

8. [pic] 9. [pic] 10. [pic]

11. [pic] 12. [pic] 13. [pic]

14. [pic] 15. [pic] 16. [pic]

_________________________________________________________________________________

17. [pic] 18. [pic] 19. [pic]

20. [pic] 21. [pic]

22. [pic] 23. [pic]

Simplify the complex fraction.

24. [pic] 25. [pic] 26. [pic]

27. [pic] 28. [pic] 29. [pic]

Solve the equation using any method. Check each solution.

30. [pic] 31. [pic]

32. [pic] 33. [pic]

34. [pic] 35. [pic]

APPLICATIONS

36. At a factory, gallons of paint are produced by a machine in accordance to the formula [pic] where G = the number of gallons produced, and h = the number of hours the paint-making machine works. How many hours does the machine need to work to produce 200 gallons of paint?

37. The number of bottles produced by a machine at a plant is given by the equation [pic].

B = the number of bottles, and m = the number of minutes the machine works.

a) Simplify the expression above

b) If the plant’s machine works for 10 minutes, how many bottles does it produce?

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