Question

Which expression is equivalent to 4 (x + 2)?
6 x
4 (x) + 4 (2)
4 (x) + 4
8x

Answer 1

To simplify the expression \( 4(x + 2) \), you can use the distributive property:

\[
4(x + 2) = 4 \cdot x + 4 \cdot 2 = 4x + 8
\]

Now, let's compare this with the options:

1. \( 6x \) - not equivalent
2. \( 4(x) + 4(2) \) - this simplifies to \( 4x + 8 \), which **is equivalent**.
3. \( 4(x) + 4 \) - simplifies to \( 4x + 4 \), not equivalent.
4. \( 8x \) - not equivalent.

So, the expression that is equivalent to \( 4(x + 2) \) is:

\[
4(x) + 4(2)
\]