| |
| |
1. |
Determine the slope of the line that passes through the points at
(1, 5) and (-4, 0). |
| |
|
A. |
1 |
B. |
 |
| |
|
C. |
0 |
D. |
-1 |
| |
|
Hint |
|
| |
2. |
State the slope of the line graphed below. |
| |
|
 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
3. |
Write an equation of the line that passes through (10,-4) and is perpendicular to the line whose equation is  |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
4. |
Choose the graph that shows the solution to the system of inequalities  and  |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
5. |
What is the solution of the system of inequalities? 
|
| |
|
 |
| |
|
A. |
region 1 |
B. |
region 2 |
| |
|
C. |
region 3 |
D. |
 |
| |
|
Hint |
|
| |
6. |
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(4, 6) |
B. |
f(2, -2) |
| |
|
C. |
f(3, 1) |
D. |
f(-2, 3) |
| |
|
Hint |
|
| |
7. |
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 |
|
| |
8. |
Find an equation of the line that passes through (0, -6) and (5, 3). |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
9. |
Use elimination to solve the system of equations shown below.
2x - 4y = -5
3x + 4y = -15 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
10. |
A rental car company charges $75 for a 3-day rental and $155 for a 7-day rental. Write an equation to find the amount that the rental car company will charge for any number of days. |
| |
|
A. |
y = 80x – 165 |
B. |
y = 20x + 15 |
| |
|
C. |
y = 80x |
D. |
y = 20x |
| |
|
Hint |
|
| |
11. |
Graph the line through (2, 3) that is perpendicular to the line with equation 2x + 5y = 1. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
12. |
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. |
192 square yards |
| |
|
C. |
500 square yards |
D. |
50 square yards |
| |
|
Hint |
|
| |
13. |
Which of the following systems of equations is not consistent and independent? |
| |
|
A. |
7y + x = 9 3y + 9x = 4 |
| |
|
B. |
y + 4x = 10 6y + 24x = 60 |
| |
|
C. |
–y – 5x = 1 4y + 3x = 8 |
| |
|
D. |
2y + 4x = 3 7y + 5x = 18 |
| |
|
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 x – 4y = 24 and 3x – 4y = 16. |
| |
|
A. |
(10, 3.5) |
B. |
(10, -3.5) |
| |
|
C. |
(-4, 7) |
D. |
(-4, -7) |
| |
|
Hint |
|
| |
16. |
Use substitution to solve the system of equations given by y =  and 28x – 32y = -8. |
| |
|
A. |
(1, 1) |
B. |
(2, 2) |
| |
|
C. |
no solution |
D. |
infinitely many solutions |
| |
|
Hint |
|
| |
17. |
Solve  by the method of determinants. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
18. |
Two sides of an angle are contained in lines whose equations are  and  Find the coordinates of the vertex of the angle. Round to the nearest hundredth. |
| |
|
A. |
(1.78, -1.16) |
B. |
(1.79, 1.06) |
| |
|
C. |
(1.89, 3.26) |
D. |
(2.76, 3.16) |
| |
|
Hint |
|
|
|