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

by Matthew Richardson

| 9 Questions1

1

10

A

B

C

D

2

2

10

A

B

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D

3

3

10

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D

4

4

10

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B

C

D

5

10

Reasoning: How do you decide whether substitution is the best method to solve a system in three variables?

6

10

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.

7

10

Writing: How many solutions does this system have? Hint: Is the system dependent? inconsistent?

Explain your answer in terms of intersecting planes.

8

8

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

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

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

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

9

10

Reflection: Math Success

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