Equations with 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

Solve: -4(8 + 5n) = 8

Back

n = -2

Front

Solve: 3(3x - 6) = 18

Back

x = 4

Front

Solve: 6(2n + 5) = 66

Back

n = 3

Front

Use the Distributive Property to solve: 4(x + 2) = 16

Back

x = 2

Front

Solve: 9(2x + 8) = 270

Back

x = 11

Front

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

Back

Isolating a variable means to manipulate the equation so that the variable is on one side of the equation and all other terms are on the opposite side.

Front

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

Back

The first step is to apply the Distributive Property to eliminate the parentheses by multiplying the term outside the parentheses by each term inside.

Front

If 2(x + 3) = 14, what is x?

Back

x = 4

Front

What is the solution to the equation 5(2n - 1) = 25?

Back

n = 3