| |
| |
1. |
State the slope of the line graphed below. |
| |
|
 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
2. |
What is the first step in solving the system of equations using the elimination method? 
|
| |
|
A. |
Solve the first equation for x. |
| |
|
B. |
Multiply the second equation by 2. |
| |
|
C. |
Subtract the second equation from the first equation. |
| |
|
D. |
Add the equations. |
| |
|
Hint |
|
| |
3. |
Use the elimination method to solve the system of equations. 
|
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
4. |
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(3, 1) |
B. |
f(2, -2) |
| |
|
C. |
f(4, 6) |
D. |
f(-2, 3) |
| |
|
Hint |
|
| |
5. |
Find the value of 63. |
| |
|
A. |
36 |
| |
|
B. |
729 |
| |
|
C. |
18 |
| |
|
D. |
216 |
| |
|
Hint |
|
| |
6. |
Choose the slope-intercept form of the equation of the line that passes through (-2, 4) and is perpendicular to the graph of 2x + y = -20. |
| |
|
A. |
y = -2x |
B. |
 |
| |
|
C. |
y = 2x + 8 |
D. |
 |
| |
|
Hint |
|
| |
7. |
Use substitution to solve the system of equations given below.
 |
| |
|
A. |
 |
B. |
infinitely many solutions |
| |
|
C. |
no solution |
D. |
(-5, 5) |
| |
|
Hint |
|
| |
8. |
Use substitution to solve the system of equations.
5x + 5y = -30
2x - y = 15 |
| |
|
A. |
infinitely many solutions |
B. |
(21, 27) |
| |
|
C. |
(3, -9) |
D. |
no solution |
| |
|
Hint |
|
| |
9. |
Which graph is the graph of the system of inequalities?
y > 2x
 |
| |
|
A. |
 |
| |
|
B. |
 |
| |
|
C. |
 |
| |
|
D. |
 |
| |
|
Hint |
|
| |
10. |
Which system of inequalities is graphed below? |
| |
|
 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
11. |
Which equation describes the line that contains the points (-1, -8) and (-9, -21)? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
12. |
Write the slope-intercept form of an equation for the line that passes through (-4, -26) and is parallel to  |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
13. |
A phone company charges for service as follows: they charge a certain amount for a visit, and then they charge a certain amount per hour after that. If a three-hour service visit costs $220, and a job that takes an hour and a half costs $145, how much is the cost of a visit before the amount of time spent is factored in? |
| |
|
A. |
$217 |
B. |
$50 |
| |
|
C. |
$70 |
D. |
$25 |
| |
|
Hint |
|
| |
14. |
Write an equation in slope-intercept form for the line that has a slope of 2 and passes through (-4, -6). |
| |
|
A. |
y = 2x + 8 |
B. |
y = 2x - 8 |
| |
|
C. |
y = 2x + 2 |
D. |
y = 2x - 2 |
| |
|
Hint |
|
| |
15. |
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. |
50 square yards |
D. |
500 square yards |
| |
|
Hint |
|
| |
16. |
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 |
|
| |
17. |
Solve  by the method of determinants. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
18. |
Vince and Brian each need two kinds of items at the store. Vince bought 10 of item A and 14 of item B and spent $97. Brian bought 8 of item A and 25 of item B, and spent $119. How much did each item cost? |
| |
|
A. |
item A = $4.50
item B = $3 |
B. |
item A = $750
item B = $3.50 |
| |
|
C. |
item A = $5.50
item B = $3 |
D. |
item A = $5
item B = $3.50 |
| |
|
Hint |
|
|
|