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1. |
A graph of a system of three linear equations in three variables is shown below. How many solutions does the system have? |
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A. |
0 |
B. |
2 |
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C. |
infinite number |
D. |
1 |
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Hint |
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2. |
Solve the system of equations. 
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A. |
(1, -4, 6) |
B. |
(7, -2, 1) |
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C. |
(10, -1, 11) |
D. |
(13, 0, -4) |
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Hint |
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3. |
What are the solutions to the system y + 2x – 5z = 4, –2y – 4x + 10z = 8, 3y + x – 3z = 5? |
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A. |
no solution |
B. |
(2, 2, –2) |
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C. |
(2, 2, 1) |
D. |
infinite |
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Hint |
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4. |
Solve the system 4y – 6x + 8z = 13, 10y – 15x + 20z = 6, y – 5x + 2z = 5. |
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A. |
infinite solutions |
B. |
(-3, 1, 7) |
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C. |
no solution |
D. |
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Hint |
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5. |
What is true about a system of equations in three variables that has 1 solution? |
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A. |
planes intersect in one point |
B. |
planes have no points in common |
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C. |
planes intersect in one line |
D. |
planes intersect in the same plane |
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Hint |
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