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

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

Back

x = 2

Front

Solve for x: 10x + 9 = 4x - 9

Back

x = -3

Front

Solve for x: 7x = 4x + 33

Back

x = 11

Front

Solve for n: -3(1+n) - 2n = -6(n - 2)

Back

n = 15

Front

Solve for t: 30 + 6t = 11t

Back

t = 6

Front

What does it mean to isolate a variable in an equation?

Back

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

Front

What is a like term in an equation?

Back

Terms that have the same variable raised to the same power, which can be combined.

Front

What is the first step in solving the equation 4x + 5 = 2x + 13?

Back

Subtract 2x from both sides to get 2x + 5 = 13.