Question

combine like terms (basic, integers)
question
a triangle has side lengths of (6v + 3) centimeters, (2v + 5) centimeters, and (8w + 5) centimeters. which expression represents the perimeter, in centimeters, of the triangle?
answer
attempt 1 out of 2
9v + 7 + 13w
8w + 8v + 13
8v + 8 + 13w
16v + 13w

Explanation:

Step1: Recall perimeter formula

The perimeter $P$ of a triangle is the sum of the lengths of its sides. So $P=(6v + 3)+(2v + 5)+(8w + 5)$.

Step2: Remove parentheses

$P = 6v+3 + 2v+5+8w + 5$.

Step3: Combine like - terms

Combine the $v$ terms: $6v+2v = 8v$. Combine the constant terms: $3 + 5+5=13$. The $w$ term remains as $8w$. So $P=8w + 8v+13$.

Answer:

B. $8w + 8v + 13$