| |
| |
1. |
What is true about the system and  |
| |
|
A. |
The system is consistent and dependent. |
| |
|
B. |
The system is inconsistent. |
| |
|
C. |
The system has infinitely many solutions. |
| |
|
D. |
The system is consistent and independent. |
| |
|
Hint |
|
| |
2. |
Use the substitution method to solve m - n = 7 and 3m + 2n = 6. |
| |
|
A. |
 |
B. |
(-5, 2) |
| |
|
C. |
(4, -3) |
D. |
(-3, -10) |
| |
|
Hint |
|
| |
3. |
What is the solution of the system of inequalities? 

|
| |
|
 |
| |
|
A. |
region 4 |
B. |
region 1 |
| |
|
C. |
region 3 |
D. |
region 2 |
| |
|
Hint |
|
| |
4. |
Find the minimum value of f(x, y) = 4x - 2y for the polygonal region determined by the feasible region. |
| |
|
 |
| |
|
A. |
14 |
B. |
-14 |
| |
|
C. |
-28 |
D. |
27 |
| |
|
Hint |
|
| |
5. |
Selena has 31 days to complete her quilt for the county fair. The blue squares in the quilt can be sewn at a rate of 4 squares per day, and the white squares at a rate of 7 squares per day. The quilt can have up to 96 squares total. The blue fabric b costs about $0.80 per square and the white fabric w costs about $1.20 per square. Selena wants to keep costs at a minimum. Write the function that describes the cost of the quilt. |
| |
|
A. |
f(b, w) = 4b + 7w |
| |
|
B. |
96 = 0.80b + 1.20w |
| |
|
C. |
f(b, w) = 0.80b + 1.20w |
| |
|
D. |
96 = 4b + 7w |
| |
|
Hint |
|
| |
6. |
A graph of a system of three linear equations in three variables is shown below. How many solutions does the system have? |
| |
|
 |
| |
|
A. |
0 |
B. |
infinite number |
| |
|
C. |
2 |
D. |
1 |
| |
|
Hint |
|
| |
7. |
Which of the following systems of equations is not consistent and independent? |
| |
|
A. |
7y + x = 9 3y + 9x = 4 |
| |
|
B. |
–y – 5x = 1 4y + 3x = 8 |
| |
|
C. |
2y + 4x = 3 7y + 5x = 18 |
| |
|
D. |
y + 4x = 10 6y + 24x = 60 |
| |
|
Hint |
|
| |
8. |
Which is true for the following system of equations?
3x - y = 1 x + 2y = 7. |
| |
|
A. |
cannot be determined from information given |
B. |
y > x |
| |
|
C. |
y < x |
D. |
y = x |
| |
|
Hint |
|
| |
9. |
Which graph represents the following system:  |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
10. |
What are the solutions to the system y + 2x – 5z = 4, –2y – 4x + 10z = 8, 3y + x – 3z = 5? |
| |
|
A. |
infinite |
B. |
(2, 2, 1) |
| |
|
C. |
(2, 2, –2) |
D. |
no solution |
| |
|
Hint |
|
|
|