Question

which expression is equivalent to $w + 6w + 4w$?

answer
$w + 10$ $w$
$11w$ $1 + 10w$

Explanation:

Step1: Identify like terms

The expression is \( w + 6w + 4w \). All terms have the variable \( w \), so they are like terms.

Step2: Combine coefficients

For like terms \( aw + bw + cw \), we combine them as \( (a + b + c)w \). Here, \( a = 1 \), \( b = 6 \), \( c = 4 \). So \( 1 + 6 + 4 = 11 \). Thus, \( w + 6w + 4w = 11w \).

Answer:

11w (the option with "11w")