Using Algebraic Properties

Question

Solving the equation 6x + 2(x − 1) = 30

Given: 6x + 2(x − 1) = 30
Step 1: 6x + 2x − 2 = 30
Step 2: 8x − 2 = 30
Step 3: 8x − 2 + 2 = 30 + 2
Step 4: 8x/8 = 32/8
Step 5: x = 4
Question 1

Identify the property that justifies Step 1 when solving the given equation.
Responses
A Distributive Property
B Substitution Property
C Symmetric Propert
D Multiplication Property

Answer 1

The property that justifies Step 1, where \( 2(x - 1) \) is expanded to \( 2x - 2 \), is the Distributive Property.

So the correct response is:

A. Distributive Property