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Happy 2014 Algebra 2! Sit somewhere new! Think about what/who might distract you and separate yourself. If you have trouble seeing, come to the front. So on, and so forth… *I might pull you aside if I think you didn’t make the best decision.

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Clean out/Divide Binders Divide Semester 1 and 2- making a ‘cover page’ for both using the colored cardstock Keep things that are neat, organized, easy to read, Toss anything that you can’t read or make any sense of Make sure your name is on the binding and/or front of the binder.

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Let’s make the rules… Make a list of expectations for students Make a list of expectations for the teacher How should we be held to these Expectations? ---We’ll count off to make groups of 4-5, agree on things within the group, then share out to make class expectations.

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Notes- Systems of Equations A System of Equations is when we have two or more equations working together. The solution to a system of equations is the point or points that work for both equations

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3 Methods GraphingSubstitutionElimination

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Solve Systems of Equations by Graphing x+y=6-3x+y=2 Step 1) Write both equations in slope intercept form (y=mx+b)

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Solve Systems of Equations by Graphing y=-x+6y=3x+2 Step 2) Graph both equations Recall: y=mx+b b is the y-intercept m is the slope

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Solve Systems of Equations by Graphing y=-x+6y=3x+2 Step 3: See where the lines cross and write your answer as a point

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Solve Systems of Equations by Graphing x+y=6-3x+y=2 Step 4) Check Answer by plugging x and y value into both equations (1, 5) x=1, y=5 1+5=6 6=6 x=1, y=5 -3(1)+5=2 -3+5=2 2=2

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Possible Results

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Problems: y=-2x+7y=3x+2

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y=(1/3)x+4y=-2x-3

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x+y=-1-x+y=1

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x+y=5 2x-y= -2

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Problems: 3x-y=1 x+y= 7

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Problems: y=3x5x+y=8

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x+2y=-123x-2y=4

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3x+y=2-2x+y=-3

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Example 1 Identifying Slopes and y-intercepts Find the slope and y -intercept of the graph of the equation. ANSWER The line has a slope of 1 and a y -intercept.

Example 1 Identifying Slopes and y-intercepts Find the slope and y -intercept of the graph of the equation. ANSWER The line has a slope of 1 and a y -intercept.

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