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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