Miss Yang has bulletin boards of different sizes in her classroom. She wants to calculate how much border she needs for each one. The length of each bulletin board is 6 inches less than three times its width, w

Question

. Simplify w + 3w − 6 + w + 3w − 6
to find the formula for the perimeter of each of Miss Yang’s bulletin boards.(1 point)
Responses

6w − 10
6 w minus 10

8w − 12
8 w minus 12

6w2 − 10
6 w squared minus 10

8w2 − 12

Answer 1

To simplify the expression \( w + 3w - 6 + w + 3w - 6 \):

1. Combine like terms:
   • First, combine the \( w \) terms:
     • \( w + 3w + w + 3w = 8w \)
   • Next, combine the constant terms:
     • \( -6 - 6 = -12 \)

Putting it all together, the simplified expression is: \[ 8w - 12 \]

Thus, the formula for the perimeter of each of Miss Yang’s bulletin boards is \( \boxed{8w - 12} \).