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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. |
1 |
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C. |
2 |
D. |
infinite number |
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Hint |
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2. |
Determine which ordered triple is a solution of the system of equations. 
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A. |
(1, -2, 6) |
B. |
(0, 0, 11) |
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C. |
(-1, 2, -16) |
D. |
(0, 1, -14) |
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Hint |
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3. |
Solve the system of equations. 
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A. |
(7, -2, 1) |
B. |
(1, -4, 6) |
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C. |
(10, -1, 11) |
D. |
(13, 0, -4) |
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Hint |
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4. |
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. |
infinite |
D. |
(2, 2, 1) |
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Hint |
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5. |
At a firm, there are three workers that are supposed to work a combined 110 hours per week. Worker 1 is supposed to work 5 hours more than worker 2, and worker 2 is supposed to work 15 hours more than worker 3. How long should each one work? |
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A. |
worker 1: 45worker 2: 40worker 3: 25 |
B. |
worker 1: 42.5worker 2: 37.5worker 3: 30 |
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C. |
worker 1: 45worker 2: 35worker 3: 30 |
D. |
worker 1: 40worker 2: 45worker 3: 25 |
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Hint |
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