Solving 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

How do you apply the Distributive Property to -7(1 + 2x)?

Back

You multiply -7 by both 1 and 2x: -7(1) + -7(2x) = -7 - 14x.

Front

Solve the equation -7(1 + 2x) = -7.

Back

x = 0.

Front

What is the first step to solve -7(8 + x) = -98?

Back

Apply the Distributive Property: -7(8) - 7(x) = -56 - 7x = -98.

Front

Solve the equation -7(8 + x) = -98.

Back

x = 6.

Front

How do you apply the Distributive Property to 6(-10 - 6x)?

Back

You multiply 6 by both -10 and -6x: 6(-10) + 6(-6x) = -60 - 36x.

Front

Solve the equation 6(-10 - 6x) = -132.

Back

x = 2.

Front

What is the first step to solve -6(-1 + 3x) = -156?

Back

Apply the Distributive Property: -6(-1) + -6(3x) = 6 - 18x = -156.

Front

Solve the equation -6(-1 + 3x) = -156.

Back

x = 9.

Front

How do you apply the Distributive Property to 5(-7 - 7x)?

Back

You multiply 5 by both -7 and -7x: 5(-7) + 5(-7x) = -35 - 35x.