Systems of Equations Review
Presentation
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Mathematics
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10th - 12th Grade
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Practice Problem
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Medium
Standards-aligned
Ryan Yaste
Used 26+ times
FREE Resource
23 Slides • 7 Questions
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Systems of Equations Review
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Recall that the graph of a line contains all ordered pairs (x, y) that satisfy its equation.
For example, the graph of the line
y = 3x - 2 contains all ordered pairs (x, y) that make the equation true (see picture at right).
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Similarly, the graph of the line
y = -x + 6 contains all ordered pairs (x, y) that make the equation true (see picture at right).
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Multiple Choice
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Look at the graphs of y = 3x - 2 and
y = -x + 6 together.
What is the solution of this system?
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Fill in the Blanks
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Multiple Choice
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Answer: True
If the lines are parallel, they never intersect, and the equation has no solutions.
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Multiple Choice
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Answer: False
Two lines cannot possibly intersect in only two different places.
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Multiple Choice
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Answer: True
This one is tricky - a system could have infintely many solutions if the two equations look different, but describe the same line.
For example, y = 2x + 3 and
2y = 4x + 6 are the same line, since you can divide 2 from both sides of the second equation to get the first.
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The lines "intersect" at every point, so any point along the line is a solution.
There are infinitely many solutions.
NOTE: The ininitely many solutions are all along the line. This does not mean that every possible ordered pair is a solution.
(For example, (2, 1) is not a solution in our picture.)
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Multiple Choice
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Multiple Choice
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Systems of Equations Review
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