Standard - AII.A.REI.1b:
Explain each step when solving rational or radical equations 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 - AII.A.REI.2:
Solve rational and radical equations in one variable, identify extraneous solutions, and explain how they arise.

Standard - AII.A.REI.7b:
Solve a system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically.

Standard - AII.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;
3. find the solution of f(x) < g(x) or f(x) <= g(x) graphically; and
4. interpret the solution in context. ★