You are purchasing a practice, notes, and important ideas sheet for graphing systems of inequalities. This document contains a blank box for jotting down student observations or notes, 6 standard practice examples, and 2 examples that require students to develop the system based on the graphical representation.
While ultimately designed as a practice tool, this document could also be used as a quick formative assessment or taken in pieces to be part of a larger summative assessment.
This practice sheet is based on the following standards:
Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).
Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions.*
Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.