| |
| |
1. |
Solve the system of equations y = 0.5x and 4y = x - 2 by graphing. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
2. |
Solve the system of equations x = 4 and 3x - 4y = 12 by graphing. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
3. |
 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
4. |
 |
| |
|
A. |
The product doesn't exist. |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
5. |
Find the value of  . |
| |
|
A. |
3 |
B. |
-3 |
| |
|
C. |
17 |
D. |
-17 |
| |
|
Hint |
|
| |
6. |
Use the function P(x, y) = 40x + 60y to determine how many of each item should be produced in order to maximize profit. |
| |
|
A. |
(300, 500) |
B. |
(500, 400) |
| |
|
C. |
(100, 800) |
D. |
(100, 400) |
| |
|
Hint |
|
| |
7. |
Solve the system of 3 equations by substitution. x = 3y + 2z
2x + 3y + 2z = 3
-x + y - z = 6 |
| |
|
A. |
(8, 4, -2) |
B. |
infinite solutions |
| |
|
C. |
no solution |
D. |
(1, 3, -4) |
| |
|
Hint |
|
| |
8. |
Solve the system of three equations by elimination: 5x + 2y - 3z = 10
2x - 2y + 4z = 6
x - y + 2z = 3
|
| |
|
A. |
infinite solutions |
B. |
no solution |
| |
|
C. |
(2, -5, 3) |
D. |
(3, 4, 2) |
| |
|
Hint |
|
| |
9. |
The quadrilateral with vertices A(-1,5), B(2,7), C(4,5) and D(3,3) is reflected over the line y = x . Find the image of the quadrilateral after the reflection. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
10. |
The image of  after Rot180 · Ry-axis is the same as which other reflection, if the vertices are A(1,1), B(2,6), C(6,4)? |
| |
|
A. |
reflection over the x-axis |
B. |
reflection over the line y = x |
| |
|
C. |
reflection over the y-axis |
D. |
none of these |
| |
|
Hint |
|
| |
11. |
Set up a matrix equation for this chemistry problem. How many liters of 0.25 solution and 0.40 solution should be combined to make 10 liters of 0.35 solution? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
12. |
Solve the system of inequalities by graphing.
x + y  4
2x - y < 4
y  0 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
13. |
Name the coordinates of the vertices of the polygonal convex set. |
| |
|
 |
| |
|
A. |
(-4,-1), (-4,6), (-2,4), (4,-2) |
B. |
(-4,-1), (-4,3), (-2,4), (4,2) |
| |
|
C. |
(-4,-1), (-4,3), (-2,-4), (4,-2) |
D. |
(-4,-1), (-4,3), (-2,4), (4,-2) |
| |
|
Hint |
|
| |
14. |
Find the maximum value of f(x, y) = 2x + y - 4 for the system of inequalities:
y -3x + 1
y  x - 4
x 0
y 0 |
| |
|
A. |
unbounded |
B. |
2 |
| |
|
C. |
alternate optimal solutions |
D. |
infeasible |
| |
|
Hint |
|
|
|