| |
| |
1. |
Determine the slope of the line graphed below. |
| |
|
 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
0 |
D. |
 |
| |
|
Hint |
|
| |
2. |
What is the slope of  in parallelogram ABCD? |
| |
|
 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
3. |
A line of best-fit should not be drawn for which of the following graphs. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
4. |
Use the scatter plot to predict the mileage of an engine with 250 horsepower. |
| |
|
 |
| |
|
A. |
12 |
B. |
10 |
| |
|
C. |
20 |
D. |
25 |
| |
|
Hint |
|
| |
5. |
If a rocket is fired from the ground with an initial velocity of 75 meters per second, then the height of the rocket after t seconds is h = 75t - 4.9t2. Find the height of the rocket after 3 seconds. |
| |
|
A. |
180.9 meters |
B. |
252.5 meters |
| |
|
C. |
221.6 meters |
D. |
130.4 meters |
| |
|
Hint |
|
| |
6. |
Which characteristic describes a graph that is linear and has direct variation. |
| |
|
A. |
The graph does not pass through (0, 0). |
| |
|
B. |
Variables x and y are not proportional. |
| |
|
C. |
The equation has the form y = mx + b. |
| |
|
D. |
The equation has the form y = mx. |
| |
|
Hint |
|
| |
7. |
Find the graph that is nonlinear. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
8. |
What is the equation of a line that has a slope of 4 and passes through (6, 3)? |
| |
|
A. |
y = 4x – 21 |
B. |
y = 4x – 3 |
| |
|
C. |
y = 4x – 7 |
D. |
y = 4x – 27 |
| |
|
Hint |
|
| |
9. |
Which three points are collinear? |
| |
|
A. |
(3, –1), (2, 5), (2, –3) |
| |
|
B. |
(–4, 4), (0, –4), (–1, –2) |
| |
|
C. |
(1, 2), (–3, –2), (–2, –4) |
| |
|
D. |
(–5, 2), (1, 1), (4, 4) |
| |
|
Hint |
|
| |
10. |
Find the graph of y = x2 + 1. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
11. |
Which way does the graph of y = –2x2 open? |
| |
|
A. |
left |
B. |
up |
| |
|
C. |
down |
D. |
right |
| |
|
Hint |
|
| |
12. |
Which table shows a quadratic relationship? |
| |
|
A. |
 |
| |
|
B. |
 |
| |
|
C. |
 |
| |
|
D. |
 |
| |
|
Hint |
|
| |
13. |
What is the lowest point on the graph of y = x2 + 2? |
| |
|
A. |
(0, 0) |
B. |
(0, 2) |
| |
|
C. |
(0, –2) |
D. |
(2, 0) |
| |
|
Hint |
|
| |
14. |
Find the equation of the graph below. |
| |
|
 |
| |
|
A. |
y = (x + 3)2 |
B. |
y = x2 – 3 |
| |
|
C. |
y = (x - 3)2 |
D. |
y = x2 + 3 |
| |
|
Hint |
|
| |
15. |
Two friends are playing catch with a baseball. The ball's flight can be modeled by the equation
y = 1 + 0.6x – 0.08x2, in meters. What is the height of the ball at its highest point? |
| |
|
A. |
2.13 m |
B. |
18.8 m |
| |
|
C. |
1 m |
D. |
3.78 m |
| |
|
Hint |
|
| |
16. |
Find the cubic equation. |
| |
|
A. |
y = x2 + 5 |
B. |
y = x(x3 + 1) |
| |
|
C. |
y = 3x |
D. |
y = 5x3 + 2x |
| |
|
Hint |
|
| |
17. |
Find the equation of the following graph. |
| |
|
 |
| |
|
A. |
y =  |
B. |
y =  |
| |
|
C. |
y = x3 |
D. |
y = x2 |
| |
|
Hint |
|
| |
18. |
What type of relationship does the equation have if its first differences are constant? |
| |
|
A. |
quadratic |
B. |
cubic |
| |
|
C. |
constant |
D. |
linear |
| |
|
Hint |
|
| |
19. |
Which differences are constant in a cubic equation? |
| |
|
A. |
fourth |
B. |
first |
| |
|
C. |
third |
D. |
second |
| |
|
Hint |
|
| |
20. |
What is the relationship between constant second differences and the coefficient of the equation? |
| |
|
A. |
the second difference is the same as the coefficient |
| |
|
B. |
the second difference is opposite the coefficient |
| |
|
C. |
the second difference is –2 times the coefficient |
| |
|
D. |
the second difference is 2 times the coefficient |
| |
|
Hint |
|
|
|