Algebraic Expressions and Equations Review

Vocabulary terms and definitions related to solving equations, factoring quadratics, and identifying restricted values based on the lecture transcript.

LCD

The Least Common Denominator used to eliminate fractions in an equation, such as "$x + 3$" in the provided example.

Restricted value

A value that must be cancelled out or not accepted because plugging it back into the equation would result in an undefined equation.

Undefined equation

An equation state that mathematicians avoid, often caused by plugging a restricted value back into the original expression.

Parenthesis

Notation used to ensure a multiplier, such as "$-2$", is applied to everything in an expression rather than just the first term.

Distribute

The mathematical step taken after fractions are removed where a value is multiplied across terms within parentheses.

Factoring

The process of breaking down an expression, like "$y^2 - y + 3y - 3$", into products such as "$(y - 1)(y + 3)$".

Replacing terms

The process of substituting the middle term of a quadratic (e.g., "$2y$") with two other terms (e.g., "$-y + 3y$") to enable further factoring.