# Algebra II Reasoning with Equations and Inequalities

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#### Resources

Understand solving equations as a process of reasoning and explain the reasoning. [Simple radical and rational]
HSA-REI.A.2. Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.
Solve equations and inequalities in one variable.
3.1 Solve one-variable equations and inequalities involving absolute value, graphing the solutions and interpreting them in
context. CA
Represent and solve equations and inequalities graphically. [Combine polynomial, rational, radical, absolute value, and
exponential functions.]
HSA-REI.D.11. Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions.