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 multiply a term by each term inside the parentheses.

Front

Solve the equation: 5(x + 10) = 10

Back

x = -8

Front

Solve the equation: -2(5 + 6m) + 16 = -90

Back

m = 8

Front

Solve the equation: 6(2n + 5) = 66

Back

n = 3

Front

Solve the equation: 2(x + 10) = 60

Back

x = 20

Front

Solve the equation: 3(2x + 5) = 39

Back

x = 4

Front

What is the first step to solve a two-step equation?

Back

The first step is usually to simplify the equation by applying the distributive property if necessary.

Front

How do you isolate the variable in a two-step equation?

Back

You perform inverse operations to move constants away from the variable.

Front

What does it mean to 'solve for x'?

Back

To solve for x means to find the value of x that makes the equation true.