Solving Equations with Variables on Both Sides

Front

What is an equation with variables on both sides?

Back

An equation that contains 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 3x - 32 = -7x + 28?

Back

Add 7x to both sides to combine like terms.

Front

What is the solution to the equation 4 - 7f = f - 12?

Back

f = 2.

Front

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

Back

It means to add or subtract terms that have the same variable raised to the same power.

Front

What is the solution to the equation -2x + 18 = 2x + 40?

Back

x = -5.5.

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 5x + 15 = 10x - 40?

Back

x = 11.

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 -6y + 17 = 3y - 10?

Back

y = 3.