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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. |
integer |
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C. |
ordered triple |
D. |
sum |
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Hint |
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2. |
Solve the system of equations. 
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A. |
(13, 0, -4) |
B. |
(7, -2, 1) |
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C. |
(1, -4, 6) |
D. |
(10, -1, 11) |
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Hint |
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3. |
Solve the system of equations. 
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A. |
(0, -2, 7) |
B. |
no solution |
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C. |
(1, 1, 2) |
D. |
infinite number of solutions |
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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. |
infinite |
B. |
no solution |
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C. |
(2, 2, –2) |
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 gets paid $10 per hour, worker 2 gets paid $12 per hour, and worker 3 gets paid $14 per hour. If the company wants their total income to be $1268, how many hours should each one work if worker 3 and worker 2 work for the same amount of hours? |
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A. |
worker 1: 40worker 2: 35worker 3: 35 |
B. |
worker 1: 54worker 2: 28worker 3: 28 |
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C. |
worker 1: 14worker 2: 48worker 3: 48 |
D. |
worker 1: 44worker 2: 33worker 3: 33 |
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Hint |
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