Solving 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 solve an equation with variables on both sides?

Back

1. Move all variable terms to one side of the equation. 2. Move constant terms to the other side. 3. Combine like terms. 4. Isolate the variable.

Front

Back

x = 3

Front

Solve for x: 9 - 4x = 12x + 25

Back

x = -1

Front

What does it mean to isolate a variable?

Back

To manipulate an equation so that the variable is alone on one side of the equation.

Front

Back

y = 4

Front

What is a like term?

Back

Terms that have the same variable raised to the same power.

Front

Solve for x: 4x + 17 = 11x + 17

Back

x = 0

Front

What is the first step in solving the equation 4 - 7f = f - 12?

Back

Move all terms involving f to one side and constant terms to the other side.

Front

Solve for f: 4 - 7f = f - 12

Back

f = 2