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Solving Systems of Linear Equations and Inequalities in Two Variables

This chapter series covers methods for solving systems of linear equations exactly and approximately, focusing on pairs of linear equations in two variables. Objectives include solving by graphing, substitution, and elimination, while also proving that certain combinations maintain equal solutions. Additionally, it addresses graphing linear inequalities as half-planes and applying these concepts to real-world scenarios. Engage with various techniques to determine the most effective approach for different problems, aiding in understanding and application in diverse situations.

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Solving Systems of Linear Equations and Inequalities in Two Variables

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  1. Chapter 6.1 Common Core – A.REI.6 Solve systems of linear equations exactly and approximately, focusing on pairs of liner equations in two variables. Objectives – To solve systems of equations by graphing. To analyze special systems.

  2. Chapter 6.2 Common Core – A.REI.6 Solve systems of linear equations exactly and approximately, focusing on pairs of liner equations in two variables. Objectives – To solve systems of equations by using substitution.

  3. Chapter 6.3 Common Core – A.REI.5 & A.REI.6 Prove that, given…two equations…replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. Objectives – To solve systems by adding or subtracting to eliminate a variable.

  4. Chapter 6.4 Common Core – A.REI.6 Solve systems of linear equations exactly and approximately, focusing on pairs of liner equations in two variables. Objectives – To choose the best method for solving a system of linear equations.

  5. Chapter 6.5 and 6.6 Common Core – A.REI.12 & A.CED.3 Graph the solutions to a linear inequality in two variables as a half-plane. Objectives – To graph linear inequalities in two variables. To use linear inequalities when modeling real-world situations. To solve systems of linear inequalities by graphing. To model real-world situations using systems of linear inequalities.

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