Distributive Property with Equations

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

Apply the Distributive Property: 3(2x + 4)

Back

6x + 12

Front

Solve the equation using the Distributive Property: 4(3x + 2) = 20

Back

x = 1

Front

What is the first step to solve the equation 2(x + 5) = 20?

Back

Distribute the 2: 2x + 10 = 20.

Front

Back

x = 7

Front

Back

x = -7

Front

What does it mean to isolate the variable in an equation?

Back

Isolating the variable means to get the variable alone on one side of the equation to solve for its value.

Front

Back

x = -6

Front

Back

x = 6

Front

What is the purpose of the Distributive Property in solving equations?

Back

It simplifies expressions and makes it easier to solve for the variable.