Solving Equations using 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

How do you apply the Distributive Property to the expression 3(2x + 2.50)?

Back

You multiply 3 by both 2x and 2.50: 3(2x) + 3(2.50) = 6x + 7.50.

Front

What is the first step to solve the equation 3(2x + 2.50) = 31.50?

Back

Apply the Distributive Property: 6x + 7.50 = 31.50.

Front

What is the perimeter of an equilateral triangle with side length represented by 4x + 3?

Back

The perimeter is 3 times the side length: Perimeter = 3(4x + 3).

Front

How do you set up an equation for the perimeter of an equilateral triangle if the perimeter is 189 inches?

Back

Set up the equation: 189 = 3(4x + 3).

Front

What is the solution to the equation 7(-2x + 5) = 28?

Back

The solution is x = 0.5.

Front

What is the first step to solve the equation 5(6 - x) = 12.5?

Back

Apply the Distributive Property: 30 - 5x = 12.5.

Front

What is the solution to the equation 5(6 - x) = 12.5?

Back

The solution is x = 3.5.

Front

How do you solve the equation 10(2x - 5) = -60?

Back

First, apply the Distributive Property: 20x - 50 = -60.

Front

What is the solution to the equation 10(2x - 5) = -60?

Back

The solution is x = -0.5.