Rational Algebraic Expressions and Operations

Construct, expand, factor, and evaluate polynomial expressions using algebraic identities and common factor extraction.

Simplify, reduce, add, subtract, multiply, and divide rational algebraic expressions and state excluded domain values.

Formulate, solve, and classify one-variable linear and fractional equations across real-world and geometric scenarios.

Solve single-variable linear and compound inequalities algebraically and represent solution sets on number lines and in interval notation.

Solve simultaneous linear systems in two and three variables using graphical, substitution, and elimination methods, and interpret practical models.

Solve quadratic equations using factoring, completing the square, and the quadratic formula; analyze roots using the discriminant and Vieta's relations.