Standard - AI.A.REI.1a:
Explain 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.

Standard - AI.A.REI.3:
Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

Standard - AI.A.REI.6a:
Solve systems of linear equations in two variables both algebraically and graphically.

Standard - AI.A.REI.7a:
Solve a system, with rational solutions, consisting of a linear equation and a quadratic equation (parabolas only) in two variables algebraically and graphically.

Standard - AI.A.REI.10:
Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane.

Standard - AI.A.REI.11:
Given the equations y = f(x) and y = g(x):

1. recognize that each x-coordinate of the intersection(s) is the solution to the equation f(x) = g(x);
2. find the solutions approximately using technology to graph the functions or make tables of values; and
3. interpret the solution in context.★

Standard - AI.A.REI.12:
Graph 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.