| |
| |
1. |
Which ordered pair is the solution to the given system of equations?
x - 3y = 9
x - 2y = 5 |
| |
|
A. |
(-3, -4) |
B. |
(3, -2) |
| |
|
C. |
(9, -3) |
D. |
(-6, 1) |
| |
|
Hint |
|
| |
2. |
Use substitution to solve the system of equations given below.
y = 2x
5x - y = -24 |
| |
|
A. |
(-8, -16) |
B. |
(-4, -8) |
| |
|
C. |
no solution |
D. |
infinitely many solutions |
| |
|
Hint |
|
| |
3. |
The sum of two numbers is –11. Twice the first number minus four times the second number is –10. What are the two numbers? |
| |
|
A. |
-6, -5 |
B. |
-9, -2 |
| |
|
C. |
-8, -3 |
D. |
-15, 4 |
| |
|
Hint |
|
| |
4. |
Solve the system of equations given by y = 2x + 2 and  . |
| |
|
A. |
(-3, -4) |
B. |
no solution |
| |
|
C. |
infinitely many solutions |
D. |
(4, -6) |
| |
|
Hint |
|
| |
5. |
Use substitution to solve the system of equations given by x – 4y = 24 and 3x – 4y = 16. |
| |
|
A. |
(-4, 7) |
B. |
(10, -3.5) |
| |
|
C. |
(-4, -7) |
D. |
(10, 3.5) |
| |
|
Hint |
|
| |
6. |
Use elimination to solve the system of equations given by 3x – 2y = 10 and 5x + 2y = 6. |
| |
|
A. |
(2, -2) |
B. |
infinitely many solutions |
| |
|
C. |
no solution |
D. |
(-2, -8) |
| |
|
Hint |
|
| |
7. |
Use elimination to solve the system of equations given by 3x – 2y = 12 and 3x + 5y = 33. |
| |
|
A. |
(14, 15) |
B. |
infinitely many solutions |
| |
|
C. |
no solution |
D. |
(6, 3) |
| |
|
Hint |
|
| |
8. |
A boat travels 30 miles upstream in 4 hours. The trip downstream takes 2.5 hours. Find the rate of the boat in still water. |
| |
|
A. |
9.75 mph |
B. |
2.25 mph |
| |
|
C. |
9.23 mph |
D. |
6.92 mph |
| |
|
Hint |
|
| |
9. |
Which point is not in the solution set of  and  |
| |
|
A. |
(4, 11) |
B. |
(0, 0) |
| |
|
C. |
(5, 0) |
D. |
(-1, -2) |
| |
|
Hint |
|
| |
10. |
Which point is in the solution set of  and y > -2x – 1. |
| |
|
A. |
(-2.8, 4.6) |
B. |
(-2, 8) |
| |
|
C. |
(-6, 5) |
D. |
(0, 3) |
| |
|
Hint |
|
|
|