Let's analyze the steps you provided to answer the questions.
Question 1
Identify the property that justifies Step 1 when solving the given equation.
In Step 1, you expand the expression \(2(x - 1)\) using the distributive property. This is the property that states \(a(b + c) = ab + ac\).
So, the correct answer is: A. Distributive Property
Question 2
Identify the property that justifies Step 3 when solving the given equation.
In Step 3, you add \(2\) to both sides of the equation \(8x - 2 = 30\). This step relies on the addition property of equality, which states that if you add the same number to both sides of an equation, the equality is maintained.
So, the correct answer is: B. Addition Property
In summary:
- Question 1: A. Distributive Property
- Question 2: B. Addition Property