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) that represent unknown values in mathematical expressions or 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 and their relationships, then express them using variables and mathematical operations.

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 for two expressions to be equal?

Back

It means that they have the same value for the same variable(s) under the same conditions.

Front

How can you check if your solution to an equation is correct?

Back

You can substitute the solution back into the original equation to see if both sides are equal.

Front

What is the significance of coefficients in an equation?

Back

Coefficients are the numerical factors that multiply the variables in an equation, affecting the slope and position of the line when graphed.

Front

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

Back

The first step is to simplify both sides of the equation, if necessary, and then move the variable terms to one side.