Solving Equations with the Distributive Property

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

Simplify: 3(x + 4)

Back

3x + 12

Front

Simplify: 5(2y - 3)

Back

10y - 15

Front

What is the first step in solving an equation using the Distributive Property?

Back

Distribute the term outside the parentheses to each term inside the parentheses.

Front

Solve: 2(c - 8) = 0

Back

c = 8

Front

Solve: 4( x + 2) = 16

Back

x = 2

Front

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

Back

To isolate the variable means to get the variable alone on one side of the equation.

Front

Solve: 7(m - 2) = 21

Back

m = 5

Front

What is the solution to the equation: -(2n - 8) = -2?

Back

n = 5

Front

If 2(a + 4) = 12, what is the value of 'a'?

Back

a = 2