| |
| |
1. |
Use substitution to solve the system of equations given below.
8x - 4y = 16
2x - y = 4 |
| |
|
A. |
infinitely many solutions |
B. |
no solution |
| |
|
C. |
(2, 0) |
D. |
(0, -4) |
| |
|
Hint |
|
| |
2. |
The sum of two numbers is 36. Twice the first number minus the second is 6. Find the numbers. |
| |
|
A. |
(42, 6) |
B. |
(30, 6) |
| |
|
C. |
(10, 26) |
D. |
(14, 22) |
| |
|
Hint |
|
| |
3. |
Use elimination to solve the system of equations given below.
x + 3y = 6
2x - 6y = 8 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
4. |
Use the graph below to determine if the given system of equations has one solution, no solution, or infinitely many solutions. If the system has one solution, name it.
 |
| |
|
 |
| |
|
A. |
one solution at (-6, 0) |
B. |
one solution at  |
| |
|
C. |
no solution |
D. |
infinitely many solutions |
| |
|
Hint |
|
| |
5. |
Solve the system of equations given by y = 2x + 2 and  . |
| |
|
A. |
(4, -6) |
B. |
infinitely many solutions |
| |
|
C. |
(-3, -4) |
D. |
no solution |
| |
|
Hint |
|
| |
6. |
Use substitution to solve the system of equations given by y = 2x and 5x + y = 7. |
| |
|
A. |
(-1, -2) |
B. |
(1, 2) |
| |
|
C. |
(2, 5) |
D. |
(-2, -5) |
| |
|
Hint |
|
| |
7. |
Use elimination to solve the system of equations given by 10x – 40y = 60 and 15x + 40y = -10. |
| |
|
A. |
(2, -1) |
B. |
no solution |
| |
|
C. |
infinitely many solutions |
D. |
(-14, -5) |
| |
|
Hint |
|
| |
8. |
Use elimination to solve the system of equations given by 3x + 4y = 5 and 21x + 28y = 35. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
infinitely many solutions |
D. |
no solution |
| |
|
Hint |
|
| |
9. |
Which point is not in the solution set of  and  |
| |
|
A. |
(0, 0) |
B. |
(5, 0) |
| |
|
C. |
(-1, -2) |
D. |
(4, 11) |
| |
|
Hint |
|
| |
10. |
Which point is in the solution set of  and y > -2x – 1. |
| |
|
A. |
(-2, 8) |
B. |
(0, 3) |
| |
|
C. |
(-2.8, 4.6) |
D. |
(-6, 5) |
| |
|
Hint |
|
|
|