| |
| |
1. |
Solve the system of equations y = 0.5x and 4y = x - 2 by graphing. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
2. |
Solve the system of equations by substitution.
x = z
x - 2y + z = 6
2x + y - 2z = 1
What is the value of x + y + z? |
| |
|
A. |
11 |
B. |
10 |
| |
|
C. |
9 |
D. |
8 |
| |
|
Hint |
|
| |
3. |
What are the vertices of the triangle formed? |
| |
|
 |
| |
|
A. |
(100, 400), (500, 400), and (100, 800) |
| |
|
B. |
(100, 400), (500, 400), and (800, 100) |
| |
|
C. |
(100, 400), (400, 500), and (800, 100) |
| |
|
D. |
(100, 400), (400, 500), and (100, 800) |
| |
|
Hint |
|
| |
4. |
If you use the parent graph f(x) = [[x]], describe how you would graph
g(x) = 3[[x]]. |
| |
|
A. |
None of these is correct. |
B. |
There would be no difference between f(x) = [[x]] and
g(x) = 3[[x]]. |
| |
|
C. |
The vertical distance between the steps for g(x) is 3 units. |
D. |
The vertical distance between the steps for g(x) is 1/3 unit. |
| |
|
Hint |
|
| |
5. |
Choose the graph of y < 2 - |x - 1|. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
6. |
Which is the graph of f(x) = x2 - 3 and its inverse? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
7. |
The function f(x) = 3x2 - x3 has critical points at x = 0 and x = 2. Determine whether each of these critical points is the location of a relative maximum, relative minimum, or a point of inflection. |
| |
|
A. |
(0, 0) minimum and (2, 4) maximum |
B. |
(0, 0) maximum and (2, 4) minimum |
| |
|
C. |
(0, 0) minimum and (2, 4) point of inflection |
D. |
None of these is correct. |
| |
|
Hint |
|
| |
8. |
Use the parent graph f(x) =  to graph the function
k(x) =  ; identify the new location of each asymptote. |
| |
|
A. |
x = 5 |
B. |
y = 5 |
| |
|
C. |
x = 2 |
D. |
y = 2 |
| |
|
Hint |
|
| |
9. |
The terminal side of one angle in standard position contains the point with coordinates (3, -2). The terminal side of another angle in standard position contains the point with coordinates (-3, 2). Compare the tangents of these angles. |
| |
|
A. |
One does not exist. |
B. |
They are equal. |
| |
|
C. |
They are not equal. |
D. |
One is twice the other. |
| |
|
Hint |
|
| |
10. |
If the angle the rope makes with the level ground is 46° 30', how long is the rope? |
| |
|
 |
| |
|
A. |
about 47.5 feet |
B. |
about 25.8 feet |
| |
|
C. |
about 23.6 feet |
D. |
about 51.8 feet |
| |
|
Hint |
|
| |
11. |
If a pulley is turned 240° per second and its radius is 4 inches, find its linear velocity in inches per second. Round to the nearest tenth. |
| |
|
A. |
4.0 in./s |
B. |
16.8 in./s |
| |
|
C. |
33.5 in./s |
D. |
22.3 in./s |
| |
|
Hint |
|
| |
12. |
State the amplitude, period, phase shift, and vertical shift for
y = 3 cos  - 4. |
| |
|
A. |
3; 8 ; -2; 4 |
B. |
3; 8; -2; -4 |
| |
|
C. |
4; 8; 2; 3 |
D. |
4; 8; -2; -3 |
| |
|
Hint |
|
| |
13. |
Which identity is not a Pythagorean identity? |
| |
|
A. |
sin2  + cos2 = 1 |
B. |
tan2 + 1 = sec2 |
| |
|
C. |
 |
D. |
1 + cot2 = csc2 |
| |
|
Hint |
|
| |
14. |
Write the ordered triple that represents the vector from X(6, -4, 2) to
Y(5, -6, 8). |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
15. |
Simplify (2 – 7i)(4 + 2i). |
| |
|
A. |
22 – 24i |
B. |
6 – 6i |
| |
|
C. |
22 – 6i |
D. |
6 – 24i |
| |
|
Hint |
|
| |
16. |
Solve the equation x3 - 27 = 0. |
| |
|
A. |
3,  ,  |
| |
|
B. |
3,  ,  |
| |
|
C. |
3,  ,  |
| |
|
D. |
3,  ,  |
| |
|
Hint |
|
| |
17. |
Which is the graph of y  ? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
18. |
Use the parent graph f(x) = to graph the function g(x) =  . |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
19. |
Evaluate i4n +2, where n is a positive integer. |
| |
|
A. |
-i |
B. |
1 |
| |
|
C. |
i |
D. |
-1 |
| |
|
Hint |
|
| |
20. |
Write the equation of a circle that passes through points (1, 2), (-1, 4) and (-3, 2) in standard form. |
| |
|
A. |
(x - 1) 2 + (y + 3) 2 = 4 |
| |
|
B. |
(x - 1) 2 + (y - 2) 2 = 4 |
| |
|
C. |
(x + 1)2 + (y - 2) 2 = 4 |
| |
|
D. |
(x + 1) 2 + (y - 3) 2 = 4 |
| |
|
Hint |
|
|
|