Solve 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. 4. Isolate 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 the equation (2/3)a + 1 = 16 - a?

Back

Move all terms involving 'a' to one side and constant terms to the other side.

Front

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

Back

w = 2.

Front

Is 7 a solution to the equation 3x + 8 - x = 5x - 4?

Back

No, substituting 7 does not satisfy the equation.

Front

What is the solution to the equation 2a + 4 = 7 + a?

Back

a = 3.

Front

What does it mean if an equation has no solution?

Back

It means that there is no value for the variable that can satisfy the equation.

Front

What is the solution to the equation -8 - 5a = 12 - 9a?

Back

a = 5.

Front

What is a variable in an equation?

Back

A symbol, often a letter, that represents an unknown value.