Variables on Both Sides Equations

Front

What is a variable in an equation?

Back

A symbol used to represent an unknown value in mathematical expressions or equations.

Front

What does it mean to solve an equation with variables on both sides?

Back

It means to find the value of the variable that makes both sides of the equation equal.

Front

How do you isolate a variable in an equation?

Back

By performing inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the first step in solving the equation 8x - 8 = -4x + 16?

Back

Add 4x to both sides to combine like terms.

Front

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

Back

x = 2

Front

What is the solution to the equation -7x - 36 = 20 - 3x?

Back

x = -14

Front

What is the process to solve the equation 10x + 9 = 4x - 9?

Back

Subtract 4x from both sides and then isolate x.

Front

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

Back

x = -3

Front

What does it mean to combine like terms in an equation?

Back

It means to simplify the equation by adding or subtracting terms that have the same variable.

Front

Solve for w: 5w + 5 = 8w - 10

Back

w = 5