| |
| |
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. |
Which equation has a graph that is parallel to the graph of 4x - 2y = 1? |
| |
|
A. |
y = 2x - 3 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
3. |
Solve the system of equations by graphing. 
|
| |
|
A. |
(2, -6) |
B. |
(-6, 2) |
| |
|
C. |
(6, 2) |
D. |
(2, 6) |
| |
|
Hint |
|
| |
4. |
Solve the system of equations by using the elimination method. 
|
| |
|
A. |
(12, -2) |
B. |
(4, 2) |
| |
|
C. |
(34, -13) |
D. |
(2, 3) |
| |
|
Hint |
|
| |
5. |
What is the solution of the system of inequalities? 
|
| |
|
 |
| |
|
A. |
region 3 |
B. |
 |
| |
|
C. |
region 1 |
D. |
region 2 |
| |
|
Hint |
|
| |
6. |
What is the solution of the system of inequalities? 
|
| |
|
 |
| |
|
A. |
region 4 |
B. |
region 2 |
| |
|
C. |
region 3 |
D. |
region 1 |
| |
|
Hint |
|
| |
7. |
A feasible region has vertices at (4, 6), (-2, 3), (2, -2), and (3, 1). At which point is the maximum value of the function f(x, y) = 2x + y? |
| |
|
A. |
f(-2, 3) |
B. |
f(3, 1) |
| |
|
C. |
f(2, -2) |
D. |
f(4, 6) |
| |
|
Hint |
|
| |
8. |
Josh has 40 minutes to complete a government exam. There are 15 multiple-choice questions worth 3 points each. There are also 5 short-answer questions worth 11 points each. It takes about 2 minutes for Josh to answer the multiple-choice questions m and about 8 minutes to complete the short-answer questions s. Which inequality is not part of the system of inequalities that represents the problem? |
| |
|
A. |
 |
| |
|
B. |
 |
| |
|
C. |
 |
| |
|
D. |
 |
| |
|
Hint |
|
| |
9. |
Which equation describes the line that contains the points (-1, -8) and (-9, -21)? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
10. |
Graph the line passing through the point (2, -5) with a slope of –2. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
11. |
Graph the line through (2, 3) that is parallel to the line with equation 3x – y = 2. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
12. |
Write the equation of the line through (5, -3) and (-2, -8) in slope-intercept form. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
13. |
Which of the following systems of equations is inconsistent? |
| |
|
A. |
y = 2x – 3 y = –3x + 4 |
| |
|
B. |
3y + 2x = 13 6y + 4x = 3 |
| |
|
C. |
y = 7x – 2 y = –2x – 5 |
| |
|
D. |
4y – x = 12 3y – 2x = 1 |
| |
|
Hint |
|
| |
14. |
Solve the system of equations 3x – 5y = 4
–2x + 4y = 3. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
15. |
Use substitution to solve the system of equations given by y = 2x and 5x + y = 7. |
| |
|
A. |
(-2, -5) |
B. |
(2, 5) |
| |
|
C. |
(-1, -2) |
D. |
(1, 2) |
| |
|
Hint |
|
| |
16. |
Use substitution to solve the system of equations given by x – 4y = 24 and 3x – 4y = 16. |
| |
|
A. |
(-4, 7) |
B. |
(-4, -7) |
| |
|
C. |
(10, -3.5) |
D. |
(10, 3.5) |
| |
|
Hint |
|
| |
17. |
Which of the following cannot be true concerning solving a system of equations by determinants? |
| |
|
A. |
 |
B. |
ed - bf = 0 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
18. |
Solve  by the method of determinants. Round to the nearest hundredth. |
| |
|
A. |
(1.86, 2.20) |
B. |
(2.46, 1.20) |
| |
|
C. |
(1.68, 4.40) |
D. |
(-1.86, -2.20) |
| |
|
Hint |
|
|
|