| |
| |
1. |
Use the substitution method to solve m - n = 7 and 3m + 2n = 6. |
| |
|
A. |
(-5, 2) |
B. |
(4, -3) |
| |
|
C. |
 |
D. |
(-3, -10) |
| |
|
Hint |
|
| |
2. |
Solve the system of inequalities by graphing. 

|
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
3. |
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. |
96 = 4b + 7w |
| |
|
B. |
96 = 0.80b + 1.20w |
| |
|
C. |
f(b, w) = 0.80b + 1.20w |
| |
|
D. |
f(b, w) = 4b + 7w |
| |
|
Hint |
|
| |
4. |
A baker earns 15¢ profit per glazed doughnut g, and 40¢ profit per jelly doughnut j. If a customer wants to buy no more than a dozen doughnuts and wants to try at least one of each kind, what is the maximum profit the baker can earn? |
| |
|
A. |
$4.80 |
B. |
$3.30 |
| |
|
C. |
$4.55 |
D. |
$1.80 |
| |
|
Hint |
|
| |
5. |
The solution of a system of three linear equations in three variables, x, y, and z, is called a(n) ____ (x, y, z). |
| |
|
A. |
ordered pair |
B. |
integer |
| |
|
C. |
ordered triple |
D. |
sum |
| |
|
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. |
2 |
B. |
1 |
| |
|
C. |
infinite number |
D. |
0 |
| |
|
Hint |
|
| |
7. |
Which of the following systems of equations is inconsistent? |
| |
|
A. |
3y + 2x = 13 6y + 4x = 3 |
| |
|
B. |
y = 2x – 3 y = –3x + 4 |
| |
|
C. |
y = 7x – 2 y = –2x – 5 |
| |
|
D. |
4y – x = 12 3y – 2x = 1 |
| |
|
Hint |
|
| |
8. |
Which of the following systems of equations is not consistent and independent? |
| |
|
A. |
2y + 4x = 3 7y + 5x = 18 |
| |
|
B. |
7y + x = 9 3y + 9x = 4 |
| |
|
C. |
–y – 5x = 1 4y + 3x = 8 |
| |
|
D. |
y + 4x = 10 6y + 24x = 60 |
| |
|
Hint |
|
| |
9. |
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 |
|
| |
10. |
Which graph represents the following system:  |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
|
|