Question

4(y + 8)

Which expression is equivalent to the expression shown above?
Responses

A 4 + y + 4 + 8

B 4y + 8

C 4y + 324

D 4 + y + 8

Answer 1

To find an expression equivalent to \( 4(y + 8) \), we can distribute the \( 4 \) across the terms inside the parentheses:

\[
4(y + 8) = 4 \cdot y + 4 \cdot 8 = 4y + 32
\]

Now, let's look at the options provided:

A: \( 4 + y + 4 + 8 \) simplifies to \( 4 + y + 12 \), which is not equivalent.
B: \( 4y + 8 \) is not equivalent because the constant is not correct.
C: \( 4y + 324 \) is not equivalent.
D: \( 4 + y + 8 \) simplifies to \( 12 + y \), which is also not equivalent.

None of the options given provide the right equivalent expression \( 4y + 32 \).

If I had to choose the closest correct form based on what I derived, I would note that none match my result directly.

However, if there's an oversight, please let me know!