Algebra 1 Semester 2 Study Guide

A symbol used to represent an unknown value, often denoted by letters such as x, y, or z.

To reduce an expression to its simplest form by combining like terms and performing operations.

A property that states a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside parentheses.

An algebraic expression that consists of variables, coefficients, and non-negative integer exponents, such as $$2x^2 + 3x + 5$$ .

An equation states that two expressions are equal, while an expression is a combination of numbers, variables, and operations without an equality sign.

Set the denominator equal to zero and solve for the variable; the solutions are the excluded values.

$$x = 4$$ .

The formula used to find the solutions of a quadratic equation, given by $$x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}}$$ .

Two expressions are equivalent if they have the same value for all values of the variable.

A numerical factor in a term of an algebraic expression, such as the 3 in $$3x^2$$ .