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Warm – up A farmer saw some chickens and pigs in a field. He counted 60 heads and 176 legs. How many chickens and how many pigs did the farmer see?
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Answer c + p = 60 2c + 4p = 176 c = 32, p =28
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CCGPS Coordinate Algebra 2-7-13
UNIT QUESTION: How do I justify and solve the solution to a system of equations or inequalities? Standard: MCC9-12.A.REI.1, 3, 5, 6, and 12 Today’s Question: How do I know where to shade when graphing linear inequalities? Standard: MCC9-12.A.REI.12
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Solving Linear Inequalities in two variables
Coordinate Plane
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Half plane A region containing all points that has one boundary, which is a straight line that continues in both directions infinitely.
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Steps for Graphing Inequalities
Get in slope-intercept form Determine solid or dashed line Determine whether to shade above or shade below the line (Test Points) If the test point is true, shade the half plane containing it. If the test point is false, shade the half plane that does NOT contain the point.
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Symbols Dashed Line < >
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Symbols Solid Line
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Ex.1
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Ex. 2
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Ex. 3
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Ex. 4
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Homework Worksheet
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