Modeling Equations with Variables on Both Sides

Front

What is an equation with variables on both sides?

Back

An equation that contains variables on both the left and right sides, such as 2x + 3 = x + 5.

Front

How do you isolate a variable in an equation?

Back

By performing inverse operations to both sides of the equation until the variable is alone on one side.

Front

What does it mean to 'combine like terms'?

Back

It means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

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

Back

Identify and move all variable terms to one side of the equation.

Front

What is the solution to the equation 2x - 2 = -x - 8?

Back

x = -2.

Front

What is the solution to the equation 3n - 6 = -n + 4?

Back

n = 2.

Front

What is the solution to the equation 2x - 4 = x - 7?

Back

x = -3.

Front

What is the solution to the equation 3x - 7 = 2x + 5?

Back

x = 12.

Front

What is the solution to the equation -x + 1 = 3x + 5?

Back

x = -1.

Front

What is a variable in an equation?

Back

A symbol, often a letter, that represents an unknown value.