AI-A.REI

Algebra - Reasoning with Equations and Inequalities

AI-A.REI.10Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane.AI-A.REI.11Given the equations y = f(x) and y = g(x): i) recognize that each x-coordinate of the intersection(s) is the solution to the equation f(x) = g(x); ii) find the solutions approximately using technology to graph the functions or make tables of values; and iii) interpret the solution in context. (Shared standard with Algebra II)AI-A.REI.12Graph 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.AI-A.REI.1aExplain each step when solving a linear or quadratic equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.AI-A.REI.3Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.AI-A.REI.4Solve quadratic equations in one variable.AI-A.REI.6aSolve systems of linear equations in two variables both algebraically and graphically.AI-A.REI.7aSolve a system, with rational solutions, consisting of a linear equation and a quadratic equation (parabolas only) in two variables algebraically and graphically. (Shared standard with Algebra II)
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