Chapter 5 System of Equations and Inequalities

Students have seen that the relationship between two or more variables can be represented as an equation or inequality and as a graph. Understanding equivalent representations and fluently translating between them are important for solving problems. For example, the connection between an equation and its graph is key to understanding how to use a graph to solve a system of equations.Students extend the concepts of linear equations and systems of linear equations to linear inequalities and systems of linear inequalities. Additionally, connections can be made to their prior experience with inequalities in one variable. For example, when graphing an inequality in one variable, the relationships < and > are represented by an empty circle; when graphing an inequality in two variables, these two relationships are represented by a dashed line. Similarly, the solid circle that represents ≤ and ≥ on graphs of inequalities in one variable is analogous to the solid line that represents ≤ and ≥ on graphs of inequalities in two variables.

Common Core: CC.9-12.A.CED.2* CC.9-12.A.REI.6 CC.9-12.A.REI.12