Linear functions, equations, and inequalities. The student applies the mathematical process standards when using graphs of linear functions, key features, and related transformations to represent in multiple ways and solve, with and without technology, equations, inequalities, and systems of equations.

A.3.ADetermine the slope of a line given a table of values, a graph, two points on the line, and an equation written in various forms, including y = mx + b, Ax + By = C, and y - y1 = m(x - x1).A.3.BCalculate the rate of change of a linear function represented tabularly, graphically, or algebraically in context of mathematical and real-world problems.A.3.CGraph linear functions on the coordinate plane and identify key features, including x-intercept, y-intercept, zeros, and slope, in mathematical and real-world problems.A.3.DGraph the solution set of linear inequalities in two variables on the coordinate plane.A.3.EDetermine the effects on the graph of the parent function f(x) = x when f(x) is replaced by af(x), f(x) + d, f(x - c), f(bx) for specific values of a, b, c, and d.A.3.FGraph systems of two linear equations in two variables on the coordinate plane and determine the solutions if they exist.A.3.GEstimate graphically the solutions to systems of two linear equations with two variables in real-world problems.A.3.HGraph the solution set of systems of two linear inequalities in two variables on the coordinate plane.
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