| |
| |
1. |
Describe the line that is graphed below. |
| |
|
 |
| |
|
A. |
passes through the point (3,2) with a slope of  |
| |
|
B. |
passes through the point (3,-2) with a slope of  |
| |
|
C. |
passes through the point (3,-2) with a slope of  |
| |
|
D. |
passes through the point (3,-2) with a slope of  |
| |
|
Hint |
|
| |
2. |
Choose the graph of f(x) = |x| - 2. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
3. |
State which ordered pair satisfies  |
| |
|
A. |
(0, 0) |
B. |
(0, 1) |
| |
|
C. |
(1, 2) |
D. |
(1, 5) |
| |
|
Hint |
|
| |
4. |
Choose the graph of 3y - 2x > 6. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
5. |
A baker earns 15¢ profit per glazed doughnut g, and 40¢ profit per jelly doughnut j. If a customer wants to buy no more than a dozen doughnuts and wants to try at least one of each kind, what is the maximum profit the baker can earn? |
| |
|
A. |
$3.30 |
B. |
$4.55 |
| |
|
C. |
$4.80 |
D. |
$1.80 |
| |
|
Hint |
|
| |
6. |
Find  [6,3,-1]. |
| |
|
A. |
 |
B. |
[3 3 -1] |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
7. |
Find 3 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
8. |
Triangle PQR with vertices P(-8, 9), Q(-3, -1), and R(2, 5) is translated so that P' is at (-12, 0). Find the translation matrix. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
9. |
Factor m3 - 4m2 + 6m - 24. |
| |
|
A. |
(m - 4)(m2 + 6) |
| |
|
B. |
m2(m - 4) + 6m - 24 |
| |
|
C. |
m(m2 - 4m + 6) - 24 |
| |
|
D. |
(m + 4)(m2 - 6) |
| |
|
Hint |
|
| |
10. |
Find  |
| |
|
A. |
9y |
B. |
81y |
| |
|
C. |
9|y3| |
D. |
9y2 |
| |
|
Hint |
|
| |
11. |
Express  using exponents. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
12. |
Simplify (8 - 9i) + (3 + 4i). |
| |
|
A. |
11 + 5i |
B. |
11 - 5i |
| |
|
C. |
17 + 7i |
D. |
-i + 17 |
| |
|
Hint |
|
| |
13. |
At a firm, there are three workers that are supposed to work a combined 110 hours per week. Worker 1 is supposed to work 5 hours more than worker 2, and worker 2 is supposed to work 15 hours more than worker 3. How long should each one work? |
| |
|
A. |
worker 1: 42.5worker 2: 37.5worker 3: 30 |
B. |
worker 1: 45worker 2: 35worker 3: 30 |
| |
|
C. |
worker 1: 45worker 2: 40worker 3: 25 |
D. |
worker 1: 40worker 2: 45worker 3: 25 |
| |
|
Hint |
|
| |
14. |
Solve the system –2x – 4y = 7, 3x + 5y = 9. |
| |
|
A. |
 |
B. |
(71, –39) |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
15. |
In a sport similar to football, there are two ways to score: by the run or by the pass. Team A scored 244 points, while Team B scored 273 points. Team A scored by the pass 21 times, and by the run 11 times. Team B scored by the pass 27 times, and by the run 6 times. How many points is each score worth? |
| |
|
A. |
pass = 7 pointsrun = 14 points |
| |
|
B. |
pass = 5 pointsrun = 23 points |
| |
|
C. |
pass = 5 pointsrun = 9 points |
| |
|
D. |
pass = 9 pointsrun = 5 points |
| |
|
Hint |
|
| |
16. |
Which of the following is a matrix equation for the system 5x – 3y =11, –3x + 2y = 7? |
| |
|
A. |
 |
| |
|
B. |
 |
| |
|
C. |
 |
| |
|
D. |
 |
| |
|
Hint |
|
| |
17. |
Solve the system of equations 7x – 14y =4, 3x – 6y =17. |
| |
|
A. |
infinite solutions |
B. |
(3, –2) |
| |
|
C. |
(2, 1) |
D. |
no unique solution |
| |
|
Hint |
|
| |
18. |
Suppose a matrix equation of a system of equations does not have a unique solution. What cannot be true? |
| |
|
A. |
ad – bc ? 0 |
B. |
 |
| |
|
C. |
 is undefined |
D. |
 |
| |
|
Hint |
|
| |
19. |
 |
| |
|
A. |
72 |
B. |
 |
| |
|
C. |
6 |
D. |
36 |
| |
|
Hint |
|
| |
20. |
Simplify:  |
| |
|
A. |
no real roots |
B. |
-16 |
| |
|
C. |
 |
D. |
16 |
| |
|
Hint |
|
|
|