| |
| |
1. |
Jane is opening a home-based business. She determined that she will need $4500 to buy a computer and supplies to start. She expects expenses for each following month to be $800. Write an equation that models the total expense y after x months. |
| |
|
A. |
y = 800x - 4500 |
B. |
y = 4500x - 800 |
| |
|
C. |
y = 4500x + 800 |
D. |
y = 800x + 4500 |
| |
|
Hint |
|
| |
2. |
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. |
3x - 2y + 14 = 0 |
B. |
3x - 2y - 14 = 0 |
| |
|
C. |
2x + 3y + 14 = 0 |
D. |
2x> + 3y - 14 = 0 |
| |
|
Hint |
|
| |
3. |
Solve |x - 1| - 8 < 3. |
| |
|
A. |
{x | -10 < x < 12} |
B. |
{x | 5 < x < 10} |
| |
|
C. |
{x | -8 < x < 10} |
D. |
{x | -4 < x < 3} |
| |
|
Hint |
|
| |
4. |
The equation x2 + x - 1 = 0 cannot be solved by ____. |
| |
|
A. |
using the quadratic formula |
B. |
factoring |
| |
|
C. |
graphing |
D. |
completing the square |
| |
|
Hint |
|
| |
5. |
Decompose  into partial fractions. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
6. |
Determine if the function is periodic. If so, state the period. |
| |
|
 |
| |
|
A. |
no |
B. |
yes; 1 |
| |
|
C. |
yes; 4 |
D. |
yes; 2 |
| |
|
Hint |
|
| |
7. |
What is the distance from the origin to the graph of 3x + 4y + 12 = 0? |
| |
|
A. |
 |
B. |
5 |
| |
|
C. |
 |
D. |
12 |
| |
|
Hint |
|
| |
8. |
Write the equation of the ellipse whose center is at the origin, a = 6, and  . |
| |
|
A. |
 |
| |
|
B. |
 |
| |
|
C. |
or |
| |
|
D. |
 or  |
| |
|
Hint |
|
| |
9. |
Find the equation of the graph of  after it is rotated 30° about the origin. |
| |
|
A. |
 |
| |
|
B. |
 |
| |
|
C. |
 |
| |
|
D. |
 |
| |
|
Hint |
|
| |
10. |
Given that log 5 = 0.6990, evaluate log 5000. |
| |
|
A. |
2.6990 |
B. |
4.6990 |
| |
|
C. |
3.6990 |
D. |
5.6990 |
| |
|
Hint |
|
| |
11. |
Given f(x) = x-5 and g(x) = x2+ 3,find (f · g)(x). |
| |
|
A. |
x2 –2x-15 |
B. |
x3 +5x2 +3x-15 |
| |
|
C. |
x3 –5x2 +3x -15 |
D. |
4x3 –2x |
| |
|
Hint |
|
| |
12. |
Find the first three iterates of the function g(x) = x2 + x for an initial value of x0 = 1. |
| |
|
A. |
 = 2
 = 6
 = 12 |
B. |
= 2
= 6
= 36 |
| |
|
C. |
= 0
= 2
= 4 |
D. |
= 2
= 6
= 42 |
| |
|
Hint |
|
| |
13. |
What type of relationship does the scatter plot suggest? |
| |
|
 |
| |
|
A. |
no linear relationship |
| |
|
B. |
a linear relationship with a negative correlation |
| |
|
C. |
a linear relationship with a positive correlation |
| |
|
D. |
no correlation |
| |
|
Hint |
|
| |
14. |
Simplify the expression sin x + 4 cos x + 2 sin -x - 2 cos -x |
| |
|
A. |
3 sin x + 2 cos x |
B. |
1 |
| |
|
C. |
0 |
D. |
2 cos x - sin x |
| |
|
Hint |
|
| |
15. |
Complete the identity tan ( - A) = ________. |
| |
|
A. |
-tan A |
B. |
-cot A |
| |
|
C. |
tan A |
D. |
cot A |
| |
|
Hint |
|
| |
16. |
If cos  =  and has its terminal side in the first quadrant, find the exact value of cos  . |
| |
|
A. |
- |
B. |
- |
| |
|
C. |
|
D. |
|
| |
|
Hint |
|
| |
17. |
Hetu is playing catch with a friend. If Hetu throws the ball at 21.3 m/s, at an angle of 30° with the horizontal, and his friend catches the ball at the same height from which Hetu threw it, how long is it before his friend catches the ball? |
| |
|
A. |
2.17 s |
B. |
10.65 s |
| |
|
C. |
0.46 s |
D. |
1.41 s |
| |
|
Hint |
|
| |
18. |
Find the rectangular coordinates of the point K(4, 276°). |
| |
|
A. |
(0.42, -3.98) |
B. |
(-3.98, 0.42) |
| |
|
C. |
(-38.06, -38.06) |
D. |
(-2.38, -38.06) |
| |
|
Hint |
|
| |
19. |
Which inequality represents the graph shown? |
| |
|
 |
| |
|
A. |
y < 2x + 3 |
B. |
y  2x - 3 |
| |
|
C. |
y > 2x + 3 |
D. |
y  2x - 3 |
| |
|
Hint |
|
| |
20. |
Find the value of log9219 using the change of base formula. |
| |
|
A. |
3.1021 |
B. |
1.3862 |
| |
|
C. |
0.2601 |
D. |
2.4527 |
| |
|
Hint |
|
|
|