Parts of Equations/Expressions

Front

What is an equation?

Back

An equation is a mathematical sentence that states that two expressions are equal, typically containing an equal sign (e.g., 2x + 3 = 7).

Front

What is an expression?

Back

An expression is a combination of numbers, variables, and operators (like +, -, *, /) without an equal sign (e.g., 5 + 2).

Front

What is a variable?

Back

A variable is a symbol (usually a letter) that represents an unknown value in an equation or expression (e.g., x in 2x - 7 = 9).

Front

What is a coefficient?

Back

A coefficient is a numerical factor that multiplies a variable in an expression (e.g., in 3x, 3 is the coefficient).

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the difference between an expression and an equation?

Back

Equations have an equal sign and express a relationship between two expressions, while expressions do not have an equal sign.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value of the variable that makes the equation true.

Front

What is the first step in solving the equation x - 62 = 123?

Back

The first step is to add 62 to both sides of the equation.

Front

What is the solution to the equation 2x - 7 = 9?

Back

The solution is x = 8.

Front

What is a term in mathematics?

Back

A term is a single mathematical expression that can be a number, a variable, or a combination of both (e.g., 4x, 7, -3).