Algebra 2 3-5 Independent Practice: Systems With Three Variables
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by Matthew Richardson
| 9 Questions
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Reasoning: How do you decide whether substitution is the best method to solve a system in three variables?
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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.
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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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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.
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Reflection: Math Success
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