| |
| |
1. |
State the domain and range of the relation. |
| |
|
 |
| |
|
A. |
All real numbers are included in the domain, and 3 is included in the range. |
B. |
3 is included in the domain, and 3 is included in the range. |
| |
|
C. |
3 is included in the domain, and all real numbers are included in the range. |
D. |
All real numbers are included in the domain and the range. |
| |
|
Hint |
|
| |
2. |
Evaluate the function f(x) = 2x3 - 6x + 1 for f(-2). |
| |
|
A. |
-35 |
B. |
-3 |
| |
|
C. |
5 |
D. |
37 |
| |
|
Hint |
|
| |
3. |
Find (x) if f(x) = 3x2 + 1 and g(x) = 2x + 3. |
| |
|
A. |
12x2 + 36x + 28 |
B. |
6x2 - 5 |
| |
|
C. |
6x2 + 5 |
D. |
12x2 - 36x + 28 |
| |
|
Hint |
|
| |
4. |
Find the x- and y-intercepts for 3x + 4y - 12 = 0. |
| |
|
A. |
(-4, 0) and (0, -3) |
B. |
(0, 4) and (3, 0) |
| |
|
C. |
(0, 3) and (4, 0) |
D. |
(-3, 0) and (0, -4) |
| |
|
Hint |
|
| |
5. |
Graph the equation y =  |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
6. |
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 = 4500x + 800 |
B. |
y = 800x + 4500 |
| |
|
C. |
y = 800x - 4500 |
D. |
y = 4500x - 800 |
| |
|
Hint |
|
| |
7. |
Write the standard form of the equation of the line that passes through the point (-1, 3) and is parallel to the graph of 2x - 7y + 1 = 0. |
| |
|
A. |
2x - 7y - 23 = 0 |
B. |
2x + 7y + 23 = 0 |
| |
|
C. |
2x + 7y - 23 = 0 |
D. |
2x - 7y + 23 = 0 |
| |
|
Hint |
|
| |
8. |
Determine the equation of the perpendicular bisector of the line segment with endpoints S(2, 6) and T(10, -4). |
| |
|
A. |
5x + 4y + 19 = 0 |
B. |
5x - 4y - 19 = 0 |
| |
|
C. |
4x - 5y - 19 = 0 |
D. |
4x - 5y + 19 = 0 |
| |
|
Hint |
|
| |
9. |
Which is the graph of the inequality x > -2? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
10. |
Which is the graph of the inequality y |x - 3|? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
11. |
An automobile manufacturer produces two kinds of cars--the Bobcat x and the Lion y. The company must always produce twice as many Bobcats as Lions and at least 300 cars but no more than 1200 cars per day. Model this situation algebraically. |
| |
|
A. |
300 x + 2y 1200 and x = 2y |
| |
|
B. |
300 x + 2y 1200 |
| |
|
C. |
300 x + y 1200 and x = 2y |
| |
|
D. |
300 2x + y 1200 |
| |
|
Hint |
|
| |
12. |
The compound inequality 300 < x + y < 1200 and x = 2y is shown in the graph below. List the possibilities of Bobcats and Lions produced to meet the imposed conditions. |
| |
|
 |
| |
|
A. |
All points on the segment of the line x = 2y whose endpoints are (200, 100) and (800, 400) and whose coordinates are integers. |
| |
|
B. |
All points on the segment of the line x = 2y whose endpoints are (100, 200) and (400, 800) and whose coordinates are integers. |
| |
|
C. |
All points on the segment of the line 2x = 2y whose endpoints are (200, 100) and (800, 400) and whose coordinates are integers. |
| |
|
D. |
All points on the segment of the line 2x = y whose endpoints are (100, 200) and (400, 800) and whose coordinates are integers. |
| |
|
Hint |
|
| |
13. |
State the domain and range of the relation. |
| |
|
 |
| |
|
A. |
The domain includes all real numbers. The range includes all positive real numbers. |
| |
|
B. |
The domain includes negative real numbers. The range includes all real numbers. |
| |
|
C. |
The domain includes just positive real numbers. The range includes all real numbers. |
| |
|
D. |
The domain and the range include all real numbers. |
| |
|
Hint |
|
| |
14. |
Find f(2b2) for f(x) = x2 – 4x |
| |
|
A. |
-4b2 |
B. |
4b4 - 8b2 |
| |
|
C. |
2b4 - 8b2 |
D. |
4b2 - 8b8 |
| |
|
Hint |
|
| |
15. |
Find the domain of f(g(x)) given f(x) = , and g(x) = x-1 |
| |
|
A. |
x 0, 1, -1 |
B. |
x 1,-1 |
| |
|
C. |
all real numbers |
D. |
x 1 |
| |
|
Hint |
|
| |
16. |
Graph the equation 3x + 2y = 0 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
17. |
Find the zero of f(x) = 2x - 3, then graph the function. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
18. |
Find a linear equation that can be used as a model for the data shown. |
| |
|
 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
19. |
How can you tell if two lines are perpendicular? |
| |
|
A. |
The slopes are reciprocals. |
B. |
The slopes are the same. |
| |
|
C. |
The slopes are opposite reciprocals. |
D. |
The slopes are opposites. |
| |
|
Hint |
|
| |
20. |
Write the equation of the line perpendicular to 5y + 3x - 10 = 0 and that passes through the point (3,1). |
| |
|
A. |
5x - 3y - 4 = 0 |
B. |
5x - 3y - 12 = 0 |
| |
|
C. |
5x + 3y - 12 = 0 |
D. |
3x + 5y - 50 = 0 |
| |
|
Hint |
|
|
|