Question

identify the property that justifies step 1 when solving the given equation. a distributive property b substitution property c symmetric property d multiplication property identify the property that justifies step 3 when solving the given equation. a reflexive property b addition property c substitution property d multiplication property

Explanation:

The distributive property involves multiplying a number by a sum or difference inside parentheses (e.g., \(a(b + c)=ab+ac\)). The substitution property is used when one quantity is replaced with an equal - valued quantity. The symmetric property states that if \(a = b\), then \(b = a\). The multiplication property is used to multiply both sides of an equation by the same non - zero number. The reflexive property states that \(a=a\). The addition property is used to add the same number to both sides of an equation. Without the actual steps of the equation - solving process, we rely on the definitions of these properties.

Answer:

1. For the first question, without seeing the step, if Step 1 involves multiplying a number through parentheses, the answer is A. Distributive Property.
2. For the second question, if Step 3 involves adding the same number to both sides of an equation, the answer is B. Addition Property.