Using Algebraic Properties

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 Property
D Multiplication Property
Question 2
Identify the property that justifies Step 3 when solving the given equation.
Responses
A Reflexive Property
B Addition Property
C Substitution Property
D Multiplication Property

Question 1:

The property that justifies Step 1 when solving the given equation is the Distributive Property.

Question 2:
The property that justifies Step 3 when solving the given equation is the Addition Property.

ARE YOU SURE?

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Question 1:
The property that justifies Step 1 when solving the given equation is the Distributive Property.

Question 2:
The property that justifies Step 3 when solving the given equation is the Addition Property.