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, requiring manipulation to isolate the variable.

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 'balance' an equation?

Back

To keep both sides of the equation equal by performing the same operation on both sides.

Front

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

Back

Combine like terms on both sides of the equation.

Front

What is the solution to the equation 2x + 3 = 3x - 4?

Back

x = 7.

Front

What is the solution to the equation 5x - 2 = 3x + 6?

Back

x = 4.

Front

What is the solution to the equation -x + 5 = 2x - 1?

Back

x = 2.

Front

What is the solution to the equation 4x + 1 = 2x + 9?

Back

x = 4.

Front

What is the solution to the equation 3x - 4 = 2x + 5?

Back

x = 9.

Front

What is the solution to the equation 6x + 2 = 4x + 10?

Back

x = 4.