Algebra 2 (Advanced Algebra)

Determine domain and range from equations and graphs, evaluate functions, interpret graphs in context, and calculate average rate of change over intervals.

Solve linear equations and inequalities, graph solution sets, rearrange multi-variable equations, and model real-world scenarios with linear relationships.

Solve systems of 2 and 3 variables using graphing, substitution, elimination, and matrices. Classify systems and apply to real-world optimization problems.

Solve absolute value equations and inequalities, graph absolute value functions, and apply transformations (shifts, stretches, reflections) to the parent function.

Graph parabolas in vertex and standard form, find the axis of symmetry and vertex, work with complex numbers (i), and solve quadratics with complex solutions.

Add, subtract, multiply polynomials. Perform polynomial long division and synthetic division. Apply the remainder and factor theorems. Graph polynomial functions.

Simplify radical expressions with higher-index roots, perform operations, solve radical equations (checking for extraneous solutions), and graph radical functions.

Simplify rational expressions, perform operations, identify vertical/horizontal asymptotes and holes, and graph rational functions with transformations.

Model exponential growth and decay, calculate compound interest, graph exponential functions, and apply transformations to the parent function.

Evaluate logarithms, apply properties (product, quotient, power rules), solve logarithmic equations, use the change of base formula, and graph log functions.

Identify arithmetic and geometric sequences, write explicit and recursive formulas, find partial sums, and use sigma notation to express and evaluate series.

Define trig functions using the unit circle, graph sine/cosine/tangent with transformations, verify trig identities, and find inverse trig values.

Count outcomes using permutations and combinations, understand probability distributions, calculate expected value, and apply the normal distribution.