

1. 
Determine whether the graphs of the pair of equations 2x + 3y = 6 and 4x + 6y = 5 are parallel, coinciding, or neither. 


A. 
all are correct 
B. 
coinciding 


C. 
parallel 
D. 
neither 


Hint 


2. 
Which is the graph of the inequality y x  3? 


A. 

B. 



C. 

D. 



Hint 


3. 
Find the values of x and y for which the matrix equation is true. 


A. 
x = 3, y = 1 
B. 
x = 1, y = 3 


C. 
x = 1, y = 3 
D. 
x = 3, y = 1 


Hint 


4. 



A. 

B. 



C. 

D. 



Hint 


5. 
State the number of complex roots of the equation x^{4}  3x^{2}  4 = 0. 


A. 
2 
B. 
3 


C. 
1 
D. 
4 


Hint 


6. 
Find the roots of x^{3} + 2x + 3 = 0. 


A. 

B. 
1, 2 


C. 

D. 
1, 2 


Hint 


7. 
If find 


A. 

B. 



C. 

D. 
7 


Hint 


8. 
In given a = 22, b = 39 and c = 19, find B. 


A. 
about 126.0° 
B. 
about 54.0° 


C. 
about 144.0° 
D. 
about 36.0° 


Hint 


9. 
Change radians to degree measure. 


A. 
135° 
B. 
145° 


C. 
145° 
D. 
135° 


Hint 


10. 
A bicycle wheel is 30 inches in diameter. If the wheel turns at a constant rate of 3 revolutions per second, what is the linear speed in miles per hour of a point on the tire? 


A. 
about 16.1 mph 
B. 
about 18.4 mph 


C. 
about 19.5 mph 
D. 
about 13.7 mph 


Hint 


11. 
Determine if the function is periodic. If so, state the period. 





A. 
yes; 4 
B. 
no 


C. 
yes; 2 
D. 
yes; 1 


Hint 


12. 
Find the magnitude of for T(4, 0, 6) and M(5, 1, 0). 


A. 

B. 



C. 

D. 
6 


Hint 


13. 
Graph the polar equation r = 2.5. 


A. 



B. 



C. 



D. 



Hint 


14. 
Find the polar coordinates of R(5, 7). 


A. 
(8.60, 0.95) 
B. 
(4.90, 4.09) 


C. 
(4.90, 0.95) 
D. 
(8.60, 4.09) 


Hint 


15. 
Simplify the expression (5 – 2i) – (2 – 7i). 


A. 
3 – 9i 
B. 
7 – 9i 


C. 
3 + 5i 
D. 
7 + 5i 


Hint 


16. 
Determine the intervals on which the function f(x) = x^{3} + x^{2} + x is increasing and the intervals on which the function is decreasing. 


A. 
increasing for x < 0 and x > 0 


B. 
increasing for x < 0 and decreasing for x > 0 


C. 
decreasing for all x 


D. 
increasing for all x 


Hint 


17. 
Determine the slant asymptote for f(x) = . 


A. 
y = x + 3 
B. 
y = 4 


C. 
y = x + 4 
D. 
y = x + 3 


Hint 


18. 
 = 14,  = 9, and . Find . 


A. 
5 
B. 
17 


C. 
126 
D. 
23 


Hint 


19. 
Express the number in rectangular form. 


A. 

B. 



C. 

D. 



Hint 


20. 
Find the principal fourth root of 256i. Leave the result in polar form. 


A. 

B. 
4 


C. 
4 (cos 0 + i sin 0) 
D. 



Hint 

