1.1 Introduction to Algebra: Variables and Mathematical Models

Equation

A statement that says two algebraic expressions are equal. A mathematical sentence that contains an equals sign.

Solutions of an equation

Are values of the variable that make the equation a true statement.

Division

Divide, quotient, ratio, divided by

The "=" sign

Equals, Gives, Yields, Is the same, Is, Was, Will be

Subtraction

Minus, difference, less than, decreased by

Addition

Plus, sum, more than, and increased by

Multiplication

Times, product, Twice, Multiplication by

Algebraic expression

a combination of variables and numbers using different operations.

Variable

a letter that represents a variety of different number

Formula

an equation that describes a relationship between two or more variables. mathematical equation leading to a specific result or answer

Mathematical modeling

process of finding formulas to describe real-world phenomena