| |
| |
1. |
The solution of a system of three linear equations in three variables, x, y, and z, is called a(n) ____ (x, y, z). |
| |
|
A. |
ordered triple |
B. |
ordered pair |
| |
|
C. |
integer |
D. |
sum |
| |
|
Hint |
|
| |
2. |
A graph of a system of three linear equations in three variables is shown below. How many solutions does the system have? |
| |
|
 |
| |
|
A. |
infinite number |
B. |
2 |
| |
|
C. |
1 |
D. |
0 |
| |
|
Hint |
|
| |
3. |
What are the solutions to the system y + 2x – 5z = 4, –2y – 4x + 10z = 8, 3y + x – 3z = 5? |
| |
|
A. |
(2, 2, –2) |
B. |
no solution |
| |
|
C. |
infinite |
D. |
(2, 2, 1) |
| |
|
Hint |
|
| |
4. |
Solve the system 4y – 6x + 8z = 13, 10y – 15x + 20z = 6, y – 5x + 2z = 5. |
| |
|
A. |
 |
B. |
no solution |
| |
|
C. |
infinite solutions |
D. |
(-3, 1, 7) |
| |
|
Hint |
|
| |
5. |
What is true about a system of equations in three variables that has 1 solution? |
| |
|
A. |
planes intersect in one line |
B. |
planes intersect in the same plane |
| |
|
C. |
planes intersect in one point |
D. |
planes have no points in common |
| |
|
Hint |
|
|
|