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 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 f - 4 = 6f + 26?

Back

Add 4 to both sides to eliminate the constant on the left side.

Front

What is the solution to the equation 7x - 4 = 3 + 8x?

Back

x = -7.

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 and exponent.

Front

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

Back

w = 2.

Front

What is the purpose of checking your solution in an equation?

Back

To verify that the solution satisfies the original equation.

Front

What is the solution to the equation 7w + 5 = 3w - 15?

Back

w = -5.

Front

What is the process of moving a term from one side of an equation to the other called?

Back

Transposing.

Front

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

Back

x = -3.