| |
| |
1. |
Graph the equation y =  |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
2. |
Use the function P(x, y) = 40x + 60y to determine how many of each item should be produced in order to maximize profit. |
| |
|
A. |
(100, 400) |
B. |
(100, 800) |
| |
|
C. |
(500, 400) |
D. |
(300, 500) |
| |
|
Hint |
|
| |
3. |
For which line(s) is the graph of  symmetric? |
| |
|
A. |
x = 3 and y = -1 |
B. |
y = 1 |
| |
|
C. |
y = -1 |
D. |
x = 3 |
| |
|
Hint |
|
| |
4. |
If y varies inversely as x and y = 12 when x = 7, find x when y = 2. |
| |
|
A. |
10 |
B. |
7 |
| |
|
C. |
42 |
D. |
5 |
| |
|
Hint |
|
| |
5. |
Approximate the real zero(s) of f(x) = x3 - 2x2 + 5x - 5 to the nearest tenth. |
| |
|
A. |
1.4 |
B. |
1.4, 2.1, and 3.2 |
| |
|
C. |
1.6 |
D. |
1.2 |
| |
|
Hint |
|
| |
6. |
Use the function of best fit, y = 0.9x + 1.3, to predict y when x = 5. |
| |
|
A. |
2.3 |
B. |
6.7 |
| |
|
C. |
5.8 |
D. |
3.2 |
| |
|
Hint |
|
| |
7. |
Choose the angle measure represented by 4.7 rotations clockwise. |
| |
|
A. |
-846° |
B. |
846° |
| |
|
C. |
-1692° |
D. |
1692° |
| |
|
Hint |
|
| |
8. |
Suppose  is an angle in standard position whose terminal side
lies in Quadrant II. If  , find  |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
9. |
If x and y are acute angles such that sin x =  and sin y =  , what is the value of cos (x - y)? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
10. |
For the equation  , find the coordinates of the center of the ellipse. |
| |
|
A. |
(9, 3) |
B. |
(2, -3) |
| |
|
C. |
(3, 9) |
D. |
(-3, 2) |
| |
|
Hint |
|
| |
11. |
Ilene analyzed her test scores and determined the equation of the best-fit line was y = 4.25x + 72. Predict her score for the 5th test. |
| |
|
A. |
88.75 |
B. |
72.5 |
| |
|
C. |
98.5 |
D. |
93.25 |
| |
|
Hint |
|
| |
12. |
Find the maximum value of f(x, y) = 2x + y - 4 for the system of inequalities:
y  -3x + 1
y  x - 4
x 0
y 0 |
| |
|
A. |
alternate optimal solutions |
B. |
2 |
| |
|
C. |
unbounded |
D. |
infeasible |
| |
|
Hint |
|
| |
13. |
Find a numerical value of one trigonometric function of x if
sin x (tan x + cot x) = 2. |
| |
|
A. |
cos x = |
B. |
sin x = |
| |
|
C. |
csc x = |
D. |
sec x = |
| |
|
Hint |
|
| |
14. |
A vector  that is represented by an ordered pair can ________ be written as the sum of unit vectors. |
| |
|
A. |
never |
B. |
sometimes |
| |
|
C. |
usually |
D. |
always |
| |
|
Hint |
|
| |
15. |
If  , then  = _______. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
16. |
Karla is in a contest to see who can hit a baseball the farthest. If she hits a ball with an initial velocity of 94.5 ft/s at an angle of 42° with the horizontal, how far will the ball travel before it hits the ground? |
| |
|
A. |
250 ft |
B. |
139 ft |
| |
|
C. |
395 ft |
D. |
277 ft |
| |
|
Hint |
|
| |
17. |
If a quarterback throws a 30-yard pass to his receiver with an initial velocity of 21 yards per second at an angle of 15 with the horizontal, how long is the ball in the air? |
| |
|
A. |
1.43 s |
B. |
0.68 s |
| |
|
C. |
5.52 s |
D. |
1.48 s |
| |
|
Hint |
|
| |
18. |
If Jeannette punts a soccer ball into the air with a velocity of 11 m/s at an angle of 58 with the horizontal, what is the vertical velocity of the soccer ball just before it hits the ground? |
| |
|
A. |
9.3 m/s |
B. |
0 m/s |
| |
|
C. |
5.8 m/s |
D. |
4.9 m/s |
| |
|
Hint |
|
| |
19. |
If a rectangular prism represented by the vertex matrix below is translated using the vector  , find the vertex matrix for the translated image.
 |
| |
|
A. |
 |
| |
|
B. |
 |
| |
|
C. |
 |
| |
|
D. |
 |
| |
|
Hint |
|
| |
20. |
Find the distance between points (2, 4) and (-4, -1). |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
|
|