| |
| |
1. |
Graph the system of equations to determine whether it has no solution, infinitely many solutions, or one solution. If the system has one solution, name it.
 |
| |
|
A. |
one solution at  |
B. |
no solution |
| |
|
C. |
one solution at  |
D. |
infinitely many solutions |
| |
|
Hint |
|
| |
2. |
Use substitution to solve the system of equations given below.
y = 2x
5x - y = -24 |
| |
|
A. |
infinitely many solutions |
B. |
(-4, -8) |
| |
|
C. |
(-8, -16) |
D. |
no solution |
| |
|
Hint |
|
| |
3. |
Use substitution to solve the system of equations given below.
8x - 4y = 16
2x - y = 4 |
| |
|
A. |
infinitely many solutions |
B. |
(0, -4) |
| |
|
C. |
(2, 0) |
D. |
no solution |
| |
|
Hint |
|
| |
4. |
Use elimination to solve the system of equations shown below.
2x - 4y = -5
3x + 4y = -15 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
5. |
Use elimination to solve the system given below.
5x - 2y = 25
5x + 3y = 5 |
| |
|
A. |
(13, 20) |
B. |
(4, -5) |
| |
|
C. |
(3, -5) |
D. |
 |
| |
|
Hint |
|
| |
6. |
Use elimination to solve the system of equations given below.
x + 3y = 6
2x - 6y = 8 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
7. |
Use elimination to solve the system of equations given below.
3x - 2y = 4
2x + y = -2 |
| |
|
A. |
(0, -2) |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
8. |
Which system of inequalities is graphed below? |
| |
|
 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
9. |
A long distance phone company has a monthly fee of $7.95 and charges a rate of $0.05 per minute. Another long distance company has a monthly fee of $9.95 and charges a rate of $0.03 per minute. At how many minutes would the two companies have equal charges? |
| |
|
A. |
50 minutes |
B. |
150 minutes |
| |
|
C. |
They will never have the same charges. |
D. |
100 minutes |
| |
|
Hint |
|
| |
10. |
Which point is not in the solution set of  and  |
| |
|
A. |
(0, 0) |
B. |
(4, 11) |
| |
|
C. |
(5, 0) |
D. |
(-1, -2) |
| |
|
Hint |
|
|
|