| |
| |
1. |
Find the y-intercept of the graph of 2x - 5y = 10. |
| |
|
A. |
5 |
B. |
-2 |
| |
|
C. |
0 |
D. |
2 |
| |
|
Hint |
|
| |
2. |
Choose the graph of  |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
3. |
Use Cramer's rule to solve the system of equations. 
|
| |
|
A. |
(0.2, 0.4) |
B. |
(-0.4, -0.2) |
| |
|
C. |
(0.011, 0.0055) |
D. |
(0.4, 0.2) |
| |
|
Hint |
|
| |
4. |
Which product is not defined? |
| |
|
A. |
[16 12 5] |
| |
|
B. |
 [11 4 -3] |
| |
|
C. |
 |
| |
|
D. |
 |
| |
|
Hint |
|
| |
5. |
Write a matrix for the system of equations. 
|
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
6. |
What is the first step in solving the matrix equation
 |
| |
|
A. |
Find the inverse of  |
| |
|
B. |
Multiply each side of the matrix equation by |
| |
|
C. |
Multiply each side of the matrix equation by the identity matrix. |
| |
|
D. |
Divide each side of the matrix equation by |
| |
|
Hint |
|
| |
7. |
Simplify  |
| |
|
A. |
5t3u3v4 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
8. |
According to a survey of randomly selected adults who exercise regularly, 62% of the group said they run 40 minutes, 3 times a week. If the margin of error was 2%, how many people were surveyed? |
| |
|
A. |
1178 |
B. |
2356 |
| |
|
C. |
9424 |
D. |
380 |
| |
|
Hint |
|
| |
9. |
Solve the inequality | 5x + 2 |  12. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
10. |
Graph the line through (2, 3) that is perpendicular to the line with equation 2x + 5y = 1. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
11. |
The Waxmans just opened a carpet store. Their startup costs were $5000, and their cost of carpet is $8 per square yard. How many square yards of carpet do they need to sell in order to break even if they sell the carpet for $18 per square yard? |
| |
|
A. |
278 square yards |
B. |
500 square yards |
| |
|
C. |
192 square yards |
D. |
50 square yards |
| |
|
Hint |
|
| |
12. |
Simplify |
| |
|
A. |
y + 7 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
13. |
What is the GCF of  |
| |
|
A. |
np |
B. |
n |
| |
|
C. |
p2 |
D. |
3n |
| |
|
Hint |
|
| |
14. |
Which of the following points will be included in the graph of  |
| |
|
A. |
(2, 1) |
B. |
(4, 1) |
| |
|
C. |
(11, 5) |
D. |
(8, 3) |
| |
|
Hint |
|
| |
15. |
Write an equation for the ellipse whose endpoints of its major axis are at (-3, 1) and (5, 1), and that of its minor axis are at (1, -1) and (1, 3). |
| |
|
A. |
 |
| |
|
B. |
 |
| |
|
C. |
 |
| |
|
D. |
 |
| |
|
Hint |
|
| |
16. |
What is the major difference between circles and ellipses? |
| |
|
A. |
Equations for ellipses can always be written in the form  , while circles cannot. |
| |
|
B. |
Ellipses are functions of x, while circles are not. |
| |
|
C. |
Ellipses may be elongated on one axis, while circles have a constant radius. |
| |
|
D. |
In circles, one of the squared terms has a coefficient that is = 0. |
| |
|
Hint |
|
| |
17. |
Use the fact that log 5 8  1.29 and log 5 10 1.43 to approximate the value of log 5 80. |
| |
|
A. |
1.84 |
B. |
16 |
| |
|
C. |
1.11 |
D. |
2.72 |
| |
|
Hint |
|
| |
18. |
Mathematical induction proves statements about which of the following? |
| |
|
A. |
all positive real numbers |
B. |
positive integers |
| |
|
C. |
all real numbers |
D. |
all integers |
| |
|
Hint |
|
| |
19. |
In induction, the statement is proven after which step? |
| |
|
A. |
after we assume true for n = 1 |
B. |
after n = 1 is proven |
| |
|
C. |
after (k + 1)2 is added to each side. |
D. |
after n = k + 1 is proven |
| |
|
Hint |
|
| |
20. |
In order to determine the most popular ride at Cedar Point, a researcher interviewed people in the parking lot as they were leaving Cedar point. Assuming that everyone went on the rides that they like, is this a random sample? If not, why is it not? |
| |
|
A. |
yes |
B. |
no, because some of the lines may have been long |
| |
|
C. |
no, because some of the rides may be new |
D. |
no, because it does not include other parks |
| |
|
Hint |
|
|
|