NC.M2.A-REI

Algebra: Reasoning with Equations and Inequalities

NC.M2.A-REI.1Justify a chosen solution method and each step of the solving process for quadratic, square root and inverse variation equations using mathematical reasoning.NC.M2.A-REI.11Extend the understanding that the x-coordinates of the points where the graphs of two square root and/or inverse variation 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.M2.A-REI.2Solve and interpret one variable inverse variation and square root equations arising from a context, and explain how extraneous solutions may be produced.NC.M2.A-REI.4Solve for all solutions of quadratic equations in one variable.NC.M2.A-REI.4aUnderstand that the quadratic formula is the generalization of solving ax^2 + bx + c by using the process of completing the square.NC.M2.A-REI.4bExplain when quadratic equations will have non-real solutions and express complex solutions as a bi for real numbers a and b.NC.M2.A-REI.7Use tables, graphs, and algebraic methods to approximate or find exact solutions of systems of linear and quadratic equations, and interpret the solutions in terms of a context.
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