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toc =Chapter 8: Systems of Equations= Preview: [|Chapter 8 Preview 1011.pdf]

**Wiki Summaries**
//**Due the school day after we cover the lesson in class **// 8-1: Bethany H. and Tabitha L. 8-2: Zack B. and Ashley C. 8-3: Chelsey R. and Alayna S. 8-4: Chantel D. and Patrick E. 8-5: Matt D. and Lauren W. 8-6: Sarah S. and Austin Z. 8-7: Sabrina O. and Susie W.

**8-1: Parallel and Perpendicular Lines**
Notes: [|Section 8-1 Student 1011.pdf] media type="custom" key="15924884" View the lesson:
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In this Chapter, we discussed the meaning of negative reciprocals, parallel lines, and perpendicular lines. We also talked about what the slopes of parallel and perpendicular lines would be. ~Tabby L. & Bethany H.
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8-2: Solve Systems of Equations Graphically
Notes: [|Section 8-2 Student 1011.pdf] media type="custom" key="15925010" View the lesson:
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In this lesson we are learning about systems of equations and solutions of systems. Systems of equations are groupings of equations and we seeing different ways to solve them. We can also apply these systems to problems that deal with other mathematical concepts. - Ashley C. and Zack B.
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8-3: Solve Systems by Substitution
Notes: [|Section 8-3 Student 1011.pdf] media type="custom" key="15925032" View the lesson:
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In lesson 8-3, we learned how to solve system of equations by substitutions. Substitution is plugging in a number or expression for a variable. An example would be 4x+3y=27 2x-y=1 You turn y=2x-1 then plug in that equation into 4x+3y=27 for why. You solve for x to get the first coordinate point, then you plug x into the one first equation and get the y coordinate. The final step is to check your work. Plug x and y coordinates into either one of the original equations and if they work, you know your right. If you solve an equation and the lines are the same, there are an infinitely many solutions __on the same line.__ If the slopes are the same, and the lines are parallel, then there are no solutions. - Alayna S. & Chelsey R.
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8-4: Solve Systems by Adding, Subtracting, and Multiplying (Linear Combinations)
Notes: [|Section 8-4 Student 1011.pdf] media type="custom" key="15925116" View the lesson:
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In this lesson we learn how to solve systems of equations by adding or subtracting, and by adding and multiplying. There are 5 steps to solve the system, choose a variable and eliminate,you either add the two equations or multiply them when the coefficients are opposite or not opposites already. Solve the new equation for the variable that is left. Then plug in the value back into original equations and solve for one variable. Then check your answer and rewrite as an ordered pair.-- Patrick E. and Chantel D.
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8-5: Matrices and Determinants
Notes: [|Section 8-5 Student 1011.pdf] media type="custom" key="15925240" View the lesson:
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8-6: Directed Graphs
Notes: [|Section 8-6 Student 1011.pdf] media type="custom" key="15925252"

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**Student Summaries:** In this lesson we learn about directed graphs and how to make and read matrices! A directed graph is a g eometrical representation of a map. They are helpful in the real world such as navigation and sports! Sarah Weenie Zechy

8-7: Systems of Inequalities
Notes: [|Section 8-7 Student 1011.pdf] media type="custom" key="15925334"

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