Expressions, Equations, and Inequalities Review

Objective: Explain equivalent expressions and use it to solve or interpret a problem.

Expressions are equivalent when they give the same value for every input in their common domain. Distribute and combine like terms while preserving restrictions. A simplification can hide an input that was undefined in the original.

Objective: Explain equation solution checks and use it to solve or interpret a problem.

An equation solution satisfies the original equality. Apply reversible operations and substitute each candidate into the starting equation. In the original equation, especially after squaring or division.

Objective: Explain inequality and interval review and use it to solve or interpret a problem.

An inequality describes a set of values; multiplying by a negative reverses direction. Open endpoints exclude equality, while closed endpoints include it. When both sides are multiplied or divided by a negative number.