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 -5(1 + 6x)?

Back

You multiply -5 by both 1 and 6x: -5(1) + -5(6x) = -5 - 30x.

Front

Solve the equation: -5(1 + 6x) = -65.

Back

x = 2.

Front

What is the first step in solving -7(1 + 2x) = -7?

Back

Apply the Distributive Property: -7(1) + -7(2x) = -7.

Front

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

Back

x = 0.

Front

What does it mean if an equation has no solution?

Back

It means that there is no value for the variable that will satisfy the equation.

Front

Solve the equation: -3(1 + 3x) = -57.

Back

x = 6.

Front

How do you isolate the variable in an equation?

Back

You perform inverse operations to get the variable by itself on one side of the equation.

Front

Solve the equation: 4(7 + 6x) = 268.

Back

x = 10.

Front

What is the purpose of checking your solution in an equation?

Back

To verify that the solution satisfies the original equation.