Linear Equations with variables on both sides

Front

What is the goal of solving linear equations?

Back

Find the value of the variable.

Front

Solve: 2(4x-3) - 8 = 4 + 2x

Back

x = 3

Front

What is a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form ax + b = c.

Front

What does it mean to have variables on both sides of an equation?

Back

It means that the variable appears on both the left and right sides of the equation.

Front

Solve for x: 4(1-x)+3x=-2(x+1)

Back

x = -6

Front

What is a coefficient in an equation?

Back

A number that multiplies a variable.

Front

What is a constant in an equation?

Back

A fixed value that does not change.

Front

How do you isolate a variable in an equation?

Back

By performing inverse operations to both sides of the equation.

Front

What is the first step in solving the equation 3x + 5 = 20?

Back

Subtract 5 from both sides.

Front

What does it mean to simplify an equation?

Back

To combine like terms and reduce the equation to its simplest form.