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Algebra 2 3-5 Independent Practice: Systems With Three Variables

Last updated over 3 years ago

9 questions

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Question 1

1.

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Question 2

2.

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Question 3

3.

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Question 4

4.

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D

Question 5

5.

Reasoning: How do you decide whether substitution is the best method to solve a system in three variables? You may use the canvas to help illustrate your response.

Question 6

6.

Error Analysis: A classmate says that the system consisting of x = 0, y = 0, and z = 0 has no solution. Explain the student's error.

Question 7

7.

Writing: How many solutions does this system have? Hint: Is the system dependent? inconsistent?
Explain your answer in terms of intersecting planes.

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Question 8

8.

Visualize: The graph of a system is shown here. How many solutions does this system have? Explain.

Infinitely many, each point that lies within any  one plane is a slolution.

None, a point must lie within all three planes to be a solution.

Infinitely many, each point that lies within any  two planes is a slolution.

Question 9

9.

Reflection: Math Success