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. Simplify both sides of the equation. 2. Move all variable terms to one side and constant terms to the other. 3. Isolate the variable.

Front

What does it mean to isolate a variable?

Back

To manipulate an equation so that the variable is alone on one side, making it easy to find its value.

Front

What is the first step in solving the equation -6(1 - 6r) = -2(r + 3)?

Back

Distribute the -6 on the left side and -2 on the right side.

Front

What is the solution to the equation -6(1 - 6r) = -2(r + 3)?

Back

0

Front

What is the solution to the equation 8w - 8 = -4x + 16?

Back

2

Front

What is the solution to the equation 14p - 8 = 22 + 20p?

Back

-5

Front

What is the solution to the equation 10x + 9 = 4x - 9?

Back

-3

Front

What is the solution to the equation 7w + 5 = 3w - 15?

Back

5

Front

What does it mean if an equation has no solution?

Back

It means that there is no value for the variable that can satisfy the equation.