Questions: Algebraic Properties and Expressions: Mastery Test Which algebraic expression is a product with a factor of 5 ? A. -2 y+5+3 B. 3 y+1 C. 5(y-6) D. 5 y-7

Transcript text: Algebraic Properties and Expressions: Mastery Test Which algebraic expression is a product with a factor of 5 ? A. $-2 y+5+3$ B. $3 y+1$ C. $5(y-6)$ D. $5 y-7$

Solution

Solution Steps

Step 1: Analyze Each Option

We need to determine which algebraic expression is a product with a factor of 5. This means we are looking for an expression that can be written in the form $5 \times (\text{something})$.

Step 2: Evaluate Option A

Option A is $-2y + 5 + 3$. This expression is not a product with a factor of 5 because it is a sum of terms, not a product.

Step 3: Evaluate Option B

Option B is $3y + 1$. This expression is also not a product with a factor of 5 because it does not contain 5 as a factor.

Step 4: Evaluate Option C

Option C is $5(y - 6)$. This expression is a product with a factor of 5, as it can be written as $5 \times (y - 6)$.

Step 5: Evaluate Option D

Option D is $5y - 7$. Although this expression contains the number 5, it is not a product with a factor of 5 because it is not in the form of $5 \times (\text{something})$ without additional terms.