| |
| |
1. |
Determine the slope of the line that passes through the points at
(1, 5) and (-4, 0). |
| |
|
A. |
 |
B. |
1 |
| |
|
C. |
-1 |
D. |
0 |
| |
|
Hint |
|
| |
2. |
State the slope and y-intercept of the graph of -y = -0.9x + 4. |
| |
|
A. |
m = -0.9, b = 4 |
B. |
m = 0.9, b = -4 |
| |
|
C. |
m = 4, b = -0.9 |
D. |
m = -4, b = 0.9 |
| |
|
Hint |
|
| |
3. |
State the number of solutions to the system of equations graphed below. |
| |
|
 |
| |
|
A. |
2 |
B. |
infinitely many |
| |
|
C. |
0 |
D. |
1 |
| |
|
Hint |
|
| |
4. |
Use the elimination method to solve the system of equations. 
|
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
5. |
Solve the system of inequalities by graphing. 
|
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
6. |
Solve the system of inequalities by graphing. 
|
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
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, -2) |
B. |
f(-2, 3) |
| |
|
C. |
f(4, 6) |
D. |
f(3, 1) |
| |
|
Hint |
|
| |
8. |
Which coordinates are not of the vertices of the feasible region for the system of inequalities? 
|
| |
|
A. |
(5, 1) |
B. |
(0, 6) |
| |
|
C. |
(2, 4) |
D. |
(5, 4) |
| |
|
Hint |
|
| |
9. |
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. |
 |
D. |
y = 2x + 8 |
| |
|
Hint |
|
| |
10. |
Use substitution to solve the system of equations given below.
y = 2x
5x - y = -24 |
| |
|
A. |
no solution |
B. |
(-4, -8) |
| |
|
C. |
(-8, -16) |
D. |
infinitely many solutions |
| |
|
Hint |
|
| |
11. |
Use elimination to solve the system of equations.
-x + 2y = 18
x + 8y = -38 |
| |
|
A. |
(-5, -1) |
B. |
(-22, -2) |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
12. |
Which equation describes the line that contains the points (7, 17) and (15, 33)? |
| |
|
A. |
y = -2x + 31 |
B. |
y = 2x + 3 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
13. |
A ticket service is selling tickets to a concert. An order of 4 tickets has a price of $63 and an order of 6 tickets has a price of $92. Write an equation to find the price of any amount of tickets. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
14. |
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 |
|
| |
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. |
Use substitution to solve the system of equations given by y = 2x and 5x + y = 7. |
| |
|
A. |
(1, 2) |
B. |
(-2, -5) |
| |
|
C. |
(-1, -2) |
D. |
(2, 5) |
| |
|
Hint |
|
| |
17. |
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 = $5.50
item B = $3 |
| |
|
C. |
item A = $750
item B = $3.50 |
D. |
item A = $5
item B = $3.50 |
| |
|
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. |
(2.76, 3.16) |
B. |
(1.79, 1.06) |
| |
|
C. |
(1.89, 3.26) |
D. |
(1.78, -1.16) |
| |
|
Hint |
|
|
|