Solving Equations with Variables on Both Sides Review

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and/or distribute to make the expression easier to work with.

Front

What is the solution to the equation 9x + 5 = 14?

Back

x = 1.

Front

Is 7 a solution to the equation 3x + 8 - x = 5x - 4?

Back

No.

Front

What is the simplified form of 11x + x?

Back

12x.

Front

What is the solution to the equation 2x + 4 = -3x - 6?

Back

x = -2.

Front

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

Back

x = 3.

Front

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

Back

It means that the variable appears on both the left and right sides of the equation, requiring manipulation to isolate the variable.

Front

How do you isolate a variable in an equation?

Back

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

Front

What is the first step in solving the equation 3x + 8 = 5x - 4?

Back

Subtract 3x from both sides.

Front

What is the solution to the equation 4x + 8 = 28?

Back

x = 5.