NC.M1.A-REI

Algebra: Reasoning with Equations and Inequalities

NC.M1.A-REI.1Justify a chosen solution method and each step of the solving process for linear and quadratic equations using mathematical reasoning.NC.M1.A-REI.10Understand that the graph of a two variable equation represents the set of all solutions to the equation.NC.M1.A-REI.11Build an understanding of why the x-coordinates of the points where the graphs of two linear, exponential, and/or quadratic equations y = (x) and y = g(x) intersect are the solutions of the equation f(x) = g(x) and approximate solutions using graphing technology or successive approximations with a table of values.NC.M1.A-REI.12Represent the solutions of a linear inequality or a system of linear inequalities graphically as a region of the plane.NC.M1.A-REI.3Solve linear equations and inequalities in one variable.NC.M1.A-REI.4Solve for the real solutions of quadratic equations in one variable by taking square roots and factoring.NC.M1.A-REI.5Explain why replacing one equation in a system of linear equations by the sum of that equation and a multiple of the other produces a system with the same solutions.NC.M1.A-REI.6Use tables, graphs, or algebraic methods (substitution and elimination) to find approximate or exact solutions to systems of linear equations and interpret solutions in terms of a context.
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