Two step equations with distributive property

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to solve for the variable.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

Solve: 3(2x + 10) = 10

Back

x = 4

Front

Solve: 2(x + 10) = 60

Back

x = 20

Front

Solve: 2(12 + 3x) = 42

Back

x = 3

Front

Solve: 4(3 + 2x) = 76

Back

x = 8

Front

Solve: 15(x + 3) = 60

Back

x = 1

Front

What is the first step in solving a two-step equation?

Back

The first step is usually to isolate the term with the variable by performing the inverse operation.

Front

What does it mean to isolate a variable?

Back

Isolating a variable means to get the variable alone on one side of the equation.

Front

How do you apply the distributive property in an equation?

Back

You multiply the term outside the parentheses by each term inside the parentheses.