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1. |
The solution of a system of three linear equations in three variables, x, y, and z, is called a(n) ____ (x, y, z). |
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A. |
ordered pair |
B. |
sum |
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C. |
ordered triple |
D. |
integer |
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Hint |
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2. |
Solve the system of equations. 
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A. |
no solution |
B. |
(1, 1, 2) |
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C. |
infinite number of solutions |
D. |
(0, -2, 7) |
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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. |
(2, 2, 1) |
B. |
infinite |
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C. |
(2, 2, –2) |
D. |
no solution |
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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. |
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B. |
infinite solutions |
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C. |
no solution |
D. |
(-3, 1, 7) |
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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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