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

Solve the equation: 7x - 4 = 3 + 8x

Back

x = -7

Front

Solve for x: 5x - 14 = 8x + 4

Back

x = -6

Front

What is the first step in solving an equation with variables on both sides?

Back

Move all variable terms to one side of the equation.

Front

What is the goal of solving an equation?

Back

Find the value of the variable.

Front

Solve the equation: n - 1 = -11

Back

n = -10

Front

Solve the equation: 2x = x + 3

Back

x = 3

Front

What does it mean to isolate a variable?

Back

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

Front

What is a coefficient in an equation?

Back

A numerical factor that multiplies a variable.

Front

What is a constant in an equation?

Back

A fixed value that does not change.