| |
| |
1. |
Determine the equation of the perpendicular bisector of the line segment with endpoints S(2, 6) and T(10, -4). |
| |
|
A. |
4x - 5y - 19 = 0 |
B. |
5x - 4y - 19 = 0 |
| |
|
C. |
4x - 5y + 19 = 0 |
D. |
5x + 4y + 19 = 0 |
| |
|
Hint |
|
| |
2. |
Which is the graph of f(x) = [[2x]]? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
3. |
Solve the system of equations x = 4 and 3x - 4y = 12 by graphing. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
4. |
 |
| |
|
A. |
 |
B. |
The product doesn't exist. |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
5. |
Which point is one of an infinite number of solutions for the inequality
y > (x + 2)2 - 4? |
| |
|
A. |
(-1, 5) |
B. |
(3, 4) |
| |
|
C. |
(2, 12) |
D. |
(1, 5) |
| |
|
Hint |
|
| |
6. |
If y varies directly as the cube of x and y = 30 when x = 2, find x when
y = 468.75. |
| |
|
A. |
3 |
B. |
5 |
| |
|
C. |
9 |
D. |
7 |
| |
|
Hint |
|
| |
7. |
Find the number of positive real zeros for
f(x) = 3x5 + 2x3 + x2 + 7x - 1 = 0. |
| |
|
A. |
no positive real zeros |
B. |
4 or 2 or 0 positive real zeros |
| |
|
C. |
exactly 1 positive real zero |
D. |
4 or 2 positive real zeros |
| |
|
Hint |
|
| |
8. |
The angle of elevation of a ladder leaning against a wall is 55°. The ladder is 30 feet long. How high up the wall does it reach? |
| |
|
A. |
about 42.84 ft |
B. |
about 52.30 ft |
| |
|
C. |
about 24.57 ft |
D. |
about 17.21 ft |
| |
|
Hint |
|
| |
9. |
Which is not a true statement about the properties of the graph of
y = cos x? |
| |
|
A. |
The x-intercepts are located at  , where n is an integer. |
| |
|
B. |
The maximum values are y = 1 and occur when  , where n is an integer. |
| |
|
C. |
The y-intercept is 1. |
| |
|
D. |
The period is 2 . |
| |
|
Hint |
|
| |
10. |
Which identity is not a Pythagorean identity? |
| |
|
A. |
sin2  + cos2 = 1 |
B. |
tan2 + 1 = sec2 |
| |
|
C. |
 |
D. |
1 + cot2 = csc2 |
| |
|
Hint |
|
| |
11. |
Complete the identity  _______. |
| |
|
A. |
cot x |
B. |
tan x |
| |
|
C. |
sin x |
D. |
cos x |
| |
|
Hint |
|
| |
12. |
A twig bobs up and down in the water. It moves from its highest point down to its lowest point and back every 12 seconds. The distance between its highest and lowest points is 3.2 centimeters. Write a sine function that models the movement of the twig in relation to the equilibrium point. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
13. |
Choose the best method to solve the system of equations 4x + y = 6
and 2x - y = 10. |
| |
|
A. |
Eliminate y |
B. |
Graphing |
| |
|
C. |
Eliminate x |
D. |
Substitution |
| |
|
Hint |
|
| |
14. |
Determine the coordinates of a dilated figure with a scale factor of 1.5 if the vertices of the original are A(3,5), B(-4,5), C(-4,-5), and D(3,-5) |
| |
|
A. |
A(1.5,2.5), B(-2,2.5), C(-2,-2.5), and D(1.5,-2.5) |
| |
|
B. |
A(4.5,7.5), B(-6,7.5), C(-6,-7.5) and D(4.5,-7.5) |
| |
|
C. |
A(4.5,6.5), B(-2.5,6.5), C(-2.5,-3.5) and D(4.5,-3.5) |
| |
|
D. |
A(1.5,3.5), B(-5.5,3.5), C(-5.5,-6.5) and D(1.5,-6.5) |
| |
|
Hint |
|
| |
15. |
Complete the graph so it is symmetric about the origin. |
| |
|
 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
16. |
Sketch the graph of the function f(x) =  (x + 1)3 + 2. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
17. |
Describe the end behavior of the function:
f(x) = x4 - x3 + x2 + x - 1 |
| |
|
A. |
f(x)  as x  , f(x) as x |
| |
|
B. |
f(x) as x , f(x) as x |
| |
|
C. |
f(x) as x , f(x) as x |
| |
|
D. |
f(x) as x , f(x) as x |
| |
|
Hint |
|
| |
18. |
Use a graphing calculator to graph f(x) = x5 + x4 - x3 + 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 maximum (0.487, 3.968)relative minimum (1.24,5.34) |
| |
|
D. |
relative minimum (-2,-4) relative maximum (0,4) |
| |
|
Hint |
|
| |
19. |
Which of the following is a valid trigonometric identity. |
| |
|
A. |
Tan2 + cot2 = sec csc |
| |
|
B. |
tan2 + cot2 = sin cos |
| |
|
C. |
tan + cot = sec csc |
| |
|
D. |
tan + cot = sin cos |
| |
|
Hint |
|
| |
20. |
Use a half-angle identity to find the exact value of tan  . |
| |
|
A. |
 |
B. |
- |
| |
|
C. |
- |
D. |
|
| |
|
Hint |
|
|
|