Equations with variables on both sides

Front

What is an equation with variables on both sides?

Back

An equation that has 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 and isolate the variable.

Front

Solve: 7w + 5 = 3w - 15

Back

w = -5

Front

Solve: 8w - 8 = -4w + 16

Back

w = 2

Front

What does it mean if an equation has no solution?

Back

It means that there are no values for the variable that can satisfy the equation.

Front

What does it mean if an equation has infinitely many solutions?

Back

It means that any value for the variable will satisfy the equation.

Front

Solve: -2(x-3)+1=6 -(x-1) -x

Back

Infinitely Many Solutions

Front

Solve: 10 + 2n = 8n - 2n + 10

Back

n = 0

Front

What is the first step in solving 9 + 2a = -3 - 4a?

Back

Combine like terms to isolate the variable.

Front

Solve: 9 + 2a = -3 - 4a

Back

a = -2