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Standards/Math/Massachusetts/A-REI.D

A-REI.D

A-REI Algebra - Reasoning with Equations and Inequalities
A-REI.A
A-REI.B
A-REI.C
A-REI.D
A-REI.D.10A-REI.D.11A-REI.D.12

Represent and solve equations and inequalities graphically.

A-REI.D.10Understand 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). Show that any point on the graph of an equation in two variables is a solution to the equation.A-REI.D.11Explain 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.A-REI.D.12Graph the solutions of 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 of a system of linear inequalities in two variables as the intersection of the corresponding half-planes.
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