Equations with Variables on Both Sides

Front

What is an equation with variables on both sides?

Back

An equation that has variables (like x or f) 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. Simplify and solve for 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 -7x - 36 = 20 - 3x?

Back

Get the variables on one side by adding 3x to both sides.

Front

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

Back

x = -6

Front

What is the solution to the equation f - 4 = 6f + 26?

Back

f = -6

Front

What does it mean to combine like terms?

Back

To add or subtract terms in an equation that have the same variable raised to the same power.

Front

What is the purpose of moving constants to one side of the equation?

Back

To simplify the equation and make it easier to isolate the variable.

Front

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

Back

w = 2

Front

What is the first step in solving -11 - 3x = 44 - 2x?

Back

Get the variables on one side.