| |
| |
1. |
In a science experiment, students hung a cup from a spring and measured the length of the spring when candies were added to it. Their data are shown in the table below. Which statement is true? |
| |
|
 |
| |
|
A. |
The relation is not a function because there are two y values for some x values. |
| |
|
B. |
The relation is a function because the range values increase. |
| |
|
C. |
The relation is a function because for each x value, there is exactly one y value. |
| |
|
D. |
The relation is not a function because only a line can be a function. |
| |
|
Hint |
|
| |
2. |
The table below shows the land-speed records to the nearest mile per hour. Draw a scatter plot for the data and use it to predict the approximate land-speed record for the year 2005. Assume the rate of increase of speed records remains the same. |
| |
|
 |
| |
|
A. |
980 mph |
B. |
600 mph |
| |
|
C. |
830 mph |
D. |
700 mph |
| |
|
Hint |
|
| |
3. |
Choose the graph of 3y - 2x > 6. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
4. |
Find the minimum value of f(x, y) = 4x - 2y for the polygonal region determined by the feasible region. |
| |
|
 |
| |
|
A. |
-28 |
B. |
14 |
| |
|
C. |
27 |
D. |
-14 |
| |
|
Hint |
|
| |
5. |
Triangle FGH has vertices F(12, 6), G(8, 1), and H(-4, 4). If the triangle is reduced so that the resulting perimeter is half the original perimeter, what are the coordinates of F'? |
| |
|
A. |
(-2, -2) |
B. |
(4, 2) |
| |
|
C. |
(6, 3) |
D. |
(6, 6) |
| |
|
Hint |
|
| |
6. |
The product gives the coordinates of two points on line AB that has been rotated 90° counterclockwise about the origin. Name the coordinates of A' and B'. |
| |
|
 |
| |
|
A. |
A'(1, 1), B'(-1, -3) |
| |
|
B. |
A'(1, -3), B'(1, 1) |
| |
|
C. |
A'(-1, -3), B'(1, 1) |
| |
|
D. |
A'(-1, 1), B'(1, -3) |
| |
|
Hint |
|
| |
7. |
Find the area of the parallelogram. |
| |
|
 |
| |
|
A. |
(36a2 - 49b2) cm2 |
| |
|
B. |
(12a2 + 14b2) cm2 |
| |
|
C. |
(36a2 - 84ab - 49b2) cm2 |
| |
|
D. |
(36a2 + 49b2) cm2 |
| |
|
Hint |
|
| |
8. |
Choose the line whose slope is undefined. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
9. |
Find the value of a so that the distance between points with coordinates (2, 5) and (-6, a) is 10 units. |
| |
|
A. |
1 or 11 |
B. |
or 11 |
| |
|
C. |
11 only |
D. |
1 only |
| |
|
Hint |
|
| |
10. |
Find the slopes of the asymptotes of the hyperbola with equation 3x2 - y2 - 18x - 2y + 20 = 0. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
11. |
Find f(4) for f(x) = x3 - 2x2 + 3x - 7. |
| |
|
A. |
1 |
B. |
37 |
| |
|
C. |
2 |
D. |
11 |
| |
|
Hint |
|
| |
12. |
Which is the inverse of the relation {(1, -3), (3, 5), (6, -2)}? |
| |
|
A. |
{(1, 5), (3, -2), (6, -3)} |
B. |
{(1, -2), (3, 8), (6, 4)} |
| |
|
C. |
{(1, -3), (3, 5), (6, -2)} |
D. |
{(-3, 1), (5, 3), (-2, 6)} |
| |
|
Hint |
|
| |
13. |
Simplify . |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
14. |
Determine tan . |
| |
|
A. |
0.6508 |
B. |
0.8571 |
| |
|
C. |
0.7203 |
D. |
1.6641 |
| |
|
Hint |
|
| |
15. |
Which of the following is the correct rotation matrix for a rotation of 180°counterclockwise about the origin? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
16. |
Two sides of an angle are contained in lines whose equations are 6x + 4y = 15 and 7x – 9y = 3. Find the coordinates of the vertex of the angle. Round to the nearest hundredth. |
| |
|
A. |
(–147, –87) |
B. |
(1.79, 1.06) |
| |
|
C. |
(147, 87) |
D. |
(–1.79, 1.06) |
| |
|
Hint |
|
| |
17. |
Find the inverse of if it exists. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
does not exist, since ad – bc = 0 |
D. |
 |
| |
|
Hint |
|
| |
18. |
Solve 0 = x2 + 4x + 5 by graphing. |
| |
|
A. |
no real roots |
B. |
–1, 5 |
| |
|
C. |
2 |
D. |
1, –5 |
| |
|
Hint |
|
| |
19. |
Which of the following is a polynomial in one variable? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
20. |
What is the degree measure of the angle through which the hour hand on a clock rotates from 4:00 P.M. to 8:00 P.M.? |
| |
|
A. |
–120° |
B. |
90° |
| |
|
C. |
–90° |
D. |
120° |
| |
|
Hint |
|
|
|