Question

determining equivalent expressions
kaleb used the distributive property to write two equivalent expressions. use ( w = 5 ) and ( w = 10 ) to determine if the
two expressions are equivalent.
( 12(w - 3) )
( 12w - 36 )
when ( w = 5 ), both expressions have a value of 24.
when ( w = 10 ), both expressions have a value of (\boxed{quad}).
therefore, the expressions are equivalent.

Explanation:

Step1: Choose an expression

We can use either \( 12(w - 3) \) or \( 12w - 36 \). Let's use \( 12(w - 3) \) first.

Step2: Substitute \( w = 10 \)

Substitute \( w = 10 \) into \( 12(w - 3) \), we get \( 12\times(10 - 3) = 12\times7 = 84 \).
Or we can use \( 12w - 36 \), substitute \( w = 10 \), we get \( 12\times10 - 36 = 120 - 36 = 84 \).

Answer:

84