| |
| |
1. |
Use substitution to solve the system of equations given below. 8x - 4y = 16 2x - y = 4 |
| |
|
A. |
(2, 0) |
B. |
infinitely many solutions |
| |
|
C. |
(0, -4) |
D. |
no solution |
| |
|
Hint |
|
| |
2. |
Use substitution to solve the system of equations given below.
 |
| |
|
A. |
 |
B. |
infinitely many solutions |
| |
|
C. |
no solution |
D. |
(-5, 5) |
| |
|
Hint |
|
| |
3. |
The sum of two numbers is 36. Twice the first number minus the second is 6. Find the numbers. |
| |
|
A. |
(10, 26) |
B. |
(30, 6) |
| |
|
C. |
(42, 6) |
D. |
(14, 22) |
| |
|
Hint |
|
| |
4. |
Use elimination to solve the system of equations given below. 5x + 3y = 3 3x + 4y = 15 |
| |
|
A. |
(3, -4) |
B. |
(-3, 6) |
| |
|
C. |
(5, 0) |
D. |
 |
| |
|
Hint |
|
| |
5. |
Which graph is the graph of the system of inequalities? y > 2x
 |
| |
|
A. |
 |
| |
|
B. |
 |
| |
|
C. |
 |
| |
|
D. |
 |
| |
|
Hint |
|
| |
6. |
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. |
no solution |
B. |
one solution at  |
| |
|
C. |
infinitely many solutions |
D. |
one solution at (-6, 0) |
| |
|
Hint |
|
| |
7. |
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. |
They will never have the same charges. |
B. |
50 minutes |
| |
|
C. |
100 minutes |
D. |
150 minutes |
| |
|
Hint |
|
| |
8. |
Use elimination to solve the system of equations given by 10x – 40y = 60 and 15x + 40y = -10. |
| |
|
A. |
infinitely many solutions |
B. |
no solution |
| |
|
C. |
(2, -1) |
D. |
(-14, -5) |
| |
|
Hint |
|
| |
9. |
Use elimination to solve the system of equations given by 6x + 15y = 15 and 4x – 5y = 25. |
| |
|
A. |
no solution |
B. |
infinitely many solutions |
| |
|
C. |
(10, -3) |
D. |
(5, -1) |
| |
|
Hint |
|
| |
10. |
Which point is not in the solution set of y < 7x + 6 and y < -7x + 6. |
| |
|
A. |
(1, -5) |
B. |
(2, -15) |
| |
|
C. |
(-1, 6) |
D. |
(0, 2) |
| |
|
Hint |
|
|
|