Algebra Fluency and IB-Style Communication

Manipulate algebraic expressions and fractions while stating excluded values.

Solve equations involving indices and logarithms using exact algebraic methods.

Solve polynomial and rational inequalities using critical values and sign analysis.

Decompose proper rational expressions into partial fractions with linear or repeated linear factors.

Round numerical answers to an appropriate accuracy and distinguish exact answers from approximations.

Translate common IB command terms into the form and depth of response required.

Present multi-step solutions with valid equality signs, necessary reasoning, and a clearly identified final answer.

Check candidate solutions against domain restrictions and reject extraneous solutions.