

1. 
Find the x and yintercepts for 3x + 4y  12 = 0. 


A. 
(0, 3) and (4, 0) 
B. 
(3, 0) and (0, 4) 


C. 
(0, 4) and (3, 0) 
D. 
(4, 0) and (0, 3) 


Hint 


2. 
Using the equation y = 50x + 50, predict y when x = 6. 


A. 
350 
B. 
250 


C. 
400 
D. 
300 


Hint 


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


A. 
neither 
B. 
coinciding 


C. 
all are correct 
D. 
parallel 


Hint 


4. 
Write the standard form of the equation of the line that passes through the point (4, 2) and is perpendicular to the graph of 3x  2y + 9 = 0. 


A. 
2x + 3y + 14 = 0 
B. 
2x> + 3y  14 = 0 


C. 
3x  2y + 14 = 0 
D. 
3x  2y  14 = 0 


Hint 


5. 
Which is the graph of the inequality x + 2y  2 0? 


A. 

B. 



C. 

D. 



Hint 


6. 
Solve the system of equations y = 0.5x and 4y = x  2 by graphing. 


A. 

B. 



C. 

D. 



Hint 


7. 
Three planes can 


A. 
intersect at one point. 
B. 
have no points in common. 


C. 
intersect in a line. 
D. 
All of the choices are true. 


Hint 


8. 
Find the image of after Rot_{90} · Ryaxis if the vertices are A(2, 3), B(6, 3), and C(2, 5). 


A. 
A'(3, 2), B'(3, 6), C'(5, 2) 
B. 
A'(3, 2), B'(3, 6), C'(5, 2) 


C. 
A'(3, 2), B'(3, 6), C'(5, 2) 
D. 
A'(3, 2), B'(3, 6), C'(5, 2) 


Hint 


9. 
Which is the graph of f(x) = x  4 and its inverse? 


A. 

B. 



C. 

D. 



Hint 


10. 
Write a polynomial equation of least degree with roots 1, 2i, and 2i. 


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


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


Hint 


11. 
Find the rational zeros of the equation 2x^{4}  x^{3}  21x^{2} + 9x + 27 = 0. 


A. 
3, 3, 1, 
B. 
3, 1, 1, 


C. 
3, 1, 1, 
D. 
3, 3, 1, 


Hint 


12. 
Determine between which consecutive integers the real zeros of f(x) = x^{4}  4x^{2} + x  3 are located. 


A. 
between 4 and 3 and between 3 and 4 
B. 
between 3 and 2 and between 5 and 6 


C. 
between 2 and 1 and between 2 and 3 
D. 
between 3 and 2 and between 2 and 3 


Hint 


13. 
Use the Upper Bound Theorem to find an integral upper bound and the Lower Bound Theorem to find an integral lower bound of the zeros of the function f(x) = x^{3}  2x^{2}  x + 6. All real zeros of f(x) can be found in the interval. 


A. 
3 x 2 
B. 
1 x 2 


C. 
2 x 3 
D. 
2 x 3 


Hint 


14. 
Write the equation of the line perpendicular to 5y + 3x  10 = 0 and that passes through the point (3,1). 


A. 
5x  3y  12 = 0 
B. 
5x  3y  4 = 0 


C. 
5x + 3y  12 = 0 
D. 
3x + 5y  50 = 0 


Hint 


15. 
Find the values of x and y for which the matrix equation is true. 


A. 
x = 4, y = 2 
B. 
x = 2, y = 3 


C. 
x = 3, y = 2 
D. 
x = 1, y = 0 


Hint 


16. 
The image of after Rot_{180} · Ryaxis is the same as which other reflection, if the vertices are A(1,1), B(2,6), C(6,4)? 


A. 
reflection over the xaxis 
B. 
reflection over the yaxis 


C. 
none of these 
D. 
reflection over the line y = x 


Hint 


17. 
Given the function f(x) = , find the inverse. 


A. 
f ^{1}(x) = 1 
B. 
f ^{1}(x) = 4 


C. 
f ^{1}(x) = x  4 
D. 
f ^{1}(x) = 


Hint 


18. 
Determine the type of discontinuity this function exhibits.



A. 
point discontinuity 
B. 
jump discontinuity 


C. 
infinite discontinuity 
D. 
none of these 


Hint 


19. 
Locate the extrema for the graph y = f(x). 





A. 
There is a relative minimum at (4,4) and a relative maximum at (0,0) 


B. 
There is an absolute maximum at (4,4) and an absolute minimum at (0,0) 


C. 
There is a relative maximum at (4,4) and a relative minimum at (0,0) 


D. 
There is an inflection point at (2,2) 


Hint 


20. 
Use a graphing calculator to graph f(x) = x^{5} + x^{4}  x^{3} + 4 and to determine and classify the extrema. 


A. 
relative maximum (2,4)relative minimum (0,4) 


B. 
relative maximum (1.27, 5.35)relative minimum (0.487, 3.968) 


C. 
relative minimum (2,4) relative maximum (0,4) 


D. 
relative maximum (0.487, 3.968)relative minimum (1.24,5.34) 


Hint 

