

1. 
Which is the graph of the inequality x > 2? 


A. 

B. 



C. 

D. 



Hint 


2. 
Which is the graph of the inequality x + 2y  2 0? 


A. 

B. 



C. 

D. 



Hint 


3. 
Determine the symmetry of g(x) = . 


A. 
not symmetric 
B. 
symmetric with respect to only the yaxis 


C. 
symmetric with respect to the origin 
D. 
symmetric with respect to only the xaxis 


Hint 


4. 
Suppose y varies directly as x and y = 13 when x = 7. Find the constant of variation and write an equation. 


A. 
k = and y = 13 · 7x 
B. 
k = and y = 13 · 7x 


C. 
k = and y = x 
D. 
k = and y = x 


Hint 


5. 
Write a polynomial equation of least degree with roots 1, 2i, and 2i. 


A. 
x^{3}  x^{2} + 4x + 4 = 0 
B. 
x^{3} + x^{2} + 4x + 4 = 0 


C. 
3x + x^{2} + 4x  4 = 0 
D. 
x^{3} + x^{2}  4x + 4 = 0 


Hint 


6. 
State the number of complex roots of the equation x^{4}  3x^{2}  4 = 0. 


A. 
1 
B. 
4 


C. 
2 
D. 
3 


Hint 


7. 
The equation x^{2} + x  1 = 0 cannot be solved by ____. 


A. 
using the quadratic formula 
B. 
completing the square 


C. 
graphing 
D. 
factoring 


Hint 


8. 
List the possible rational roots of 3x^{3} + 5x^{2}  2x + 1 = 0. 


A. 
, 
B. 
1, 


C. 
, 
D. 
1, 


Hint 


9. 
Solve 4. 


A. 
x 0 
B. 
x 8 


C. 
0 x 8 
D. 
none of these 


Hint 


10. 
Find the distance between the lines with equations x + 2y = 6 and y = x + 2. 


A. 

B. 



C. 

D. 



Hint 


11. 
Find the distance between the points with the polar coordinates P_{1}(3, 160°) and P_{2}(5, 100°). 


A. 

B. 



C. 

D. 



Hint 


12. 
Simplify (2 – 7i)(4 + 2i). 


A. 
6 – 24i 
B. 
22 – 6i 


C. 
22 – 24i 
D. 
6 – 6i 


Hint 


13. 
State the domain and range of the relation. Then state whether the relation is a function.{(2,1), (2,4), (2,5), (3,6)} 


A. 
Domain {2,2,3} Range {1,4,5,6}The relation is not a function. 


B. 
Domain {2,2,3} Range {1,4,5,6} The relation is a function. 


C. 
Domain {1,4,5,6}Range {2,2,3} The relation is not a function. 


D. 
Domain {1,4,5,6}Range {2,2,3}The relation is a function. 


Hint 


14. 
Graph the equation 


A. 

B. 



C. 

D. 



Hint 


15. 
Name the coordinates of the vertices of the polygonal convex set. 





A. 
(4,1), (4,3), (2,4), (4,2) 
B. 
(4,1), (4,6), (2,4), (4,2) 


C. 
(4,1), (4,3), (2,4), (4,2) 
D. 
(4,1), (4,3), (2,4), (4,2) 


Hint 


16. 
If you use the parent graph as a reference, describe how you would graph . 


A. 
Expand horizontally by a factor of , then move 4 units down. 
B. 
Compress vertically by a factor of , then move 4 units down. 


C. 
Compress horizontally by a factor of , then move 4 units down. 
D. 
Expand vertically by a factor of 3, then move 4 units down. 


Hint 


17. 
Use the parent graph f(x) = to graph the function g(x) = . 


A. 

B. 



C. 

D. 



Hint 


18. 
Complete the identity tan (  A) = ________. 


A. 
tan A 
B. 
cot A 


C. 
cot A 
D. 
tan A 


Hint 


19. 
Find the polar coordinates of the point P(8, 2). 


A. 

B. 



C. 

D. 
(10, 4) 


Hint 


20. 
Write the equation x^{2} + 4y^{2} + 8x  8y + 16 = 0 in standard form. 


A. 



B. 



C. 



D. 



Hint 

