| |
| |
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. |
one solution at  |
| |
|
C. |
no solution |
D. |
infinitely many solutions |
| |
|
Hint |
|
| |
2. |
Use substitution to solve the system of equations given below. 8x - 4y = 16 2x - y = 4 |
| |
|
A. |
(0, -4) |
B. |
(2, 0) |
| |
|
C. |
infinitely many solutions |
D. |
no solution |
| |
|
Hint |
|
| |
3. |
Brenda and Amparo left their homes for their morning runs at the same time. Brenda can run a 10-minute mile and Amparo can run a 12-minute mile. Combined, they ran 15 miles in a total of 2 hours and 42 minutes (162 minutes). How many miles did each woman run? |
| |
|
A. |
Brenda ran 11 miles; Amparo ran 4 miles. |
B. |
Brenda ran 8 miles; Amparo ran 7 miles |
| |
|
C. |
Brenda ran 9 miles; Amparo ran 6 miles |
D. |
Brenda ran 10 miles; Amparo ran 5 miles |
| |
|
Hint |
|
| |
4. |
Use elimination to solve the system of equations shown below. 2x - 4y = -5 3x + 4y = -15 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
5. |
Solve the system of equations given by y = 2x + 2 and . |
| |
|
A. |
(4, -6) |
B. |
(-3, -4) |
| |
|
C. |
no solution |
D. |
infinitely many solutions |
| |
|
Hint |
|
| |
6. |
Use elimination to solve the system of equations given by 3x – 2y = 10 and 5x + 2y = 6. |
| |
|
A. |
(-2, -8) |
B. |
(2, -2) |
| |
|
C. |
infinitely many solutions |
D. |
no solution |
| |
|
Hint |
|
| |
7. |
Use elimination to solve the system of equations given by 6x + 15y = 15 and 4x – 5y = 25. |
| |
|
A. |
(5, -1) |
B. |
(10, -3) |
| |
|
C. |
infinitely many solutions |
D. |
no solution |
| |
|
Hint |
|
| |
8. |
Use elimination to solve the system of equations given by 3x + 4y = 5 and 21x + 28y = 35. |
| |
|
A. |
 |
B. |
infinitely many solutions |
| |
|
C. |
 |
D. |
no solution |
| |
|
Hint |
|
| |
9. |
Use graphing to solve the system of inequalities given by y < x + 1 and  |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
10. |
Which point is in the solution set of and y > -2x – 1. |
| |
|
A. |
(-2, 8) |
B. |
(-2.8, 4.6) |
| |
|
C. |
(-6, 5) |
D. |
(0, 3) |
| |
|
Hint |
|
|
|