Question

use the distributive property to write an expression equivalent to $8(3a + 4)$.
$8(3a + 4) = \boldsymbol{?} + \boldsymbol{?}$
options for the first ?: $a$, $3a$, $8a$, $24a$

Explanation:

Step1: Apply distributive property

The distributive property is \( c(a + b) = ca + cb \). For \( 8(3a + 4) \), we distribute 8 to both terms inside the parentheses.
First, multiply 8 by \( 3a \): \( 8\times3a = 24a \).

Step2: Multiply 8 by 4

Next, multiply 8 by 4: \( 8\times4 = 32 \).

Answer:

\( 8(3a + 4) = 24a + 32 \)
So the first "?" is \( 24a \) and the second "?" is \( 32 \).