Content Standards A.CED.3 Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions.

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Presentation transcript:

Content Standards A.CED.3 Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context. A.REI.6 Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables. Mathematical Practices 3 Construct viable arguments and critique the reasoning of others. 8 Look for and express regularity in repeated reasoning. Common Core State Standards © Copyright National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

You graphed linear equations. Determine the number of solutions a system of linear equations has. Solve systems of linear equations by graphing.

system of equations consistent independent dependent inconsistent

Number of Solutions Cornell Notes: Use the graph to determine whether the system is consistent or inconsistent and if it is independent or dependent. y = –x + 1 y = –x + 4

Number of Solutions YOU TRY: Use the graph to determine whether the system is consistent or inconsistent and if it is independent or dependent. y = x – 3 y = –x + 1

Solve by Graphing Cornell Notes: Graph the system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If the system has one solution, name it. y = 2x + 3 8x – 4y = –12

Solve by Graphing Cornell Notes: Graph the system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If the system has one solution, name it. x – 2y = 4 x – 2y = –2

A.one; (0, 0) B.no solution C.infinitely many D.one; (1, 3) You Try: Graph the system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If the system has one solution, name it.

A.225 weeks B.7 weeks C.5 weeks D.20 weeks Cornell Notes: Alex and Amber are both saving money for a summer vacation. Alex has already saved $100 and plans to save $25 per week until the trip. Amber has $75 and plans to save $30 per week. In how many weeks will Alex and Amber have the same amount of money?

Write Cornell Notes Summary 6.1 in Homework Packet