Solving and Writing Equations with Variables on Both Sides

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What are variables in an equation?

Back

Variables are symbols (often letters) used to represent unknown values in mathematical expressions and equations.

Front

What is the purpose of isolating a variable in an equation?

Back

Isolating a variable helps to find its value by getting it alone on one side of the equation.

Front

How do you represent a situation with an equation?

Back

You identify the quantities involved, their relationships, and express them mathematically using variables and constants.

Front

What is a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no exponents greater than one and graphs as a straight line.

Front

What does it mean to have variables on both sides of an equation?

Back

It means that the equation contains variables on both the left and right sides, requiring manipulation to solve for the variable.

Front

How do you combine like terms in an equation?

Back

You add or subtract coefficients of the same variable to simplify the equation.

Front

What is the first step in solving an equation with variables on both sides?

Back

The first step is to move all terms containing the variable to one side of the equation and constant terms to the other side.

Front

What is the significance of the equal sign in an equation?

Back

The equal sign indicates that the expressions on both sides have the same value.