| |
| |
1. |
Which equation is the slope-intercept form of the equation of the line that passes through (1, 2) and is parallel to 4x - 2y = 6? |
| |
|
A. |
 |
B. |
y = 4x + 3 |
| |
|
C. |
y = -2x + 1 |
D. |
y = 2x |
| |
|
Hint |
|
| |
2. |
Which pair of lines graphed below are parallel? |
| |
|
 |
| |
|
A. |
k and n |
B. |
k and m |
| |
|
C. |
l and m |
D. |
l and n |
| |
|
Hint |
|
| |
3. |
Use the scatter plot to predict the mileage of an engine with 250 horsepower. |
| |
|
 |
| |
|
A. |
20 |
B. |
12 |
| |
|
C. |
10 |
D. |
25 |
| |
|
Hint |
|
| |
4. |
The graph of a linear function is _______. |
| |
|
A. |
a curved line |
B. |
a straight line |
| |
|
C. |
None of these is correct |
D. |
a horizontal line only |
| |
|
Hint |
|
| |
5. |
What is the equation of the graph shown? |
| |
|
 |
| |
|
A. |
f(x) = 2x2 - 2x + 1 |
| |
|
B. |
f(x) = 2x2 + 2x + 1 |
| |
|
C. |
f(x) = -2x2 + 2x - 1 |
| |
|
D. |
f(x) = -2x2 + 2x + 1 |
| |
|
Hint |
|
| |
6. |
Which characteristic describes a graph that is linear and has direct variation. |
| |
|
A. |
The equation has the form y = mx. |
| |
|
B. |
The equation has the form y = mx + b. |
| |
|
C. |
Variables x and y are not proportional. |
| |
|
D. |
The graph does not pass through (0, 0). |
| |
|
Hint |
|
| |
7. |
Find the equation that has direct variation. |
| |
|
A. |
y = 4x |
B. |
y = 5x + 1.3 |
| |
|
C. |
y = 0.8x + 9 |
D. |
y = –3x – 1 |
| |
|
Hint |
|
| |
8. |
Find the graph that does not have direct variation. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
9. |
Find the situation that involves a decreasing linear relationship and has direct variation. |
| |
|
A. |
An airplane that begins at 20,000 feet and descends for a landing on the ground at the airport. |
| |
|
B. |
The temperature that begins at 0°F at 6:00 a.m. rises 3°F every hour for 6 hours. |
| |
|
C. |
A bucket that begins at ground level and is lowered into a well at a rate of 1 foot per second. |
| |
|
D. |
A submarine that begins at the bottom of the ocean and is raised to the surface of the water at 15 meters per second. |
| |
|
Hint |
|
| |
10. |
Find the graph that is nonlinear. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
11. |
Which three points are collinear? |
| |
|
A. |
(4, –3), (2, –2), (–4, 1) |
| |
|
B. |
(–1, 1), (2, 3), (5, 2) |
| |
|
C. |
(3, 1), (4, 0), (–1, 2) |
| |
|
D. |
(–5, –3), (–2, 3), (2, –4) |
| |
|
Hint |
|
| |
12. |
How many diagonals does a 25-sided polygon have? |
| |
|
A. |
275 |
B. |
25 |
| |
|
C. |
550 |
D. |
300 |
| |
|
Hint |
|
| |
13. |
Find a quadratic equation for the table. |
| |
|
 |
| |
|
A. |
y = 5x2 + 1 |
B. |
y = 5x2 – 1 |
| |
|
C. |
y = 5x2 – 2 |
D. |
y = x2 – 5 |
| |
|
Hint |
|
| |
14. |
Find the equation of the graph below. |
| |
|
 |
| |
|
A. |
y = (x + 3)2 |
B. |
y = x2 + 3 |
| |
|
C. |
y = x2 – 3 |
D. |
y = (x - 3)2 |
| |
|
Hint |
|
| |
15. |
Find the cubic equation. |
| |
|
A. |
y = x(x3 + 1) |
B. |
y = 5x3 + 2x |
| |
|
C. |
y = x2 + 5 |
D. |
y = 3x |
| |
|
Hint |
|
| |
16. |
Find the equation of the following graph. |
| |
|
 |
| |
|
A. |
y =  |
B. |
y = x3 |
| |
|
C. |
y =  |
D. |
y = x2 |
| |
|
Hint |
|
| |
17. |
In the relationship , why is y inversely proportional to x? |
| |
|
A. |
the relationship is undefined at x = 0 |
| |
|
B. |
8 is divided into y |
| |
|
C. |
8 is divided into x |
| |
|
D. |
the product of xy is a constant, 8 |
| |
|
Hint |
|
| |
18. |
How does a affect graphs of equations in the form of ? |
| |
|
A. |
negative values of a move the graph to the left, positive values move it to the right |
| |
|
B. |
a affects the width of the graph |
| |
|
C. |
positive values of a move the graph to the left, negative values move it to the right |
| |
|
D. |
a affects the length of the graph |
| |
|
Hint |
|
| |
19. |
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 –2 times the coefficient |
| |
|
C. |
the second difference is 2 times the coefficient |
| |
|
D. |
the second difference is opposite the coefficient |
| |
|
Hint |
|
| |
20. |
Find the values for m and n which the conjecture (m – n)2 = m2 – n2 is false. |
| |
|
A. |
m = 1, n = 2 |
B. |
m = 1, n = 0 |
| |
|
C. |
m = 1, n = 1 |
D. |
m = –2, n = 0 |
| |
|
Hint |
|
|
|