Question

which expressions are equivalent to 10y + 2y? select all that apply. a} 2(5y + y) b} 12y c} y(10 + 2) d} 2y + 10y

Explanation:

Step1: Simplify expression a

First, simplify the expression inside the parentheses: $5y + y=6y$. Then, $2(5y + y)=2\times6y = 12y$.

Step2: Analyze expression b

The expression is $12y$, which is the same as the simplified form of the given expression $10y + 2y=(10 + 2)y=12y$.

Step3: Analyze expression c

Using the distributive property, $y(10 + 2)=10y+2y$.

Step4: Analyze expression d

According to the commutative property of addition, $2y + 10y=10y + 2y$.

Answer:

A. $2(5y + y)$, B. $12y$, C. $y(10 + 2)$, D. $2y + 10y$