Which of the following expressions is equivalent to 8(6+x+3)

Question

?(1 point)
Responses

8⋅x+9
8 times x plus 9

8⋅x+72
8 times x plus 72

8⋅x+48
8 times x plus 48

8⋅x+17

Answer 1

To simplify the expression \( 8(6 + x + 3) \), we first combine the constants inside the parentheses:

\[ 6 + 3 = 9 \]

So, the expression becomes:

\[ 8(9 + x) \]

Next, we apply the distributive property:

\[ 8 \cdot 9 + 8 \cdot x = 72 + 8x \]

This can be rewritten as:

\[ 8x + 72 \]

Thus, the expression \( 8(6+x+3) \) simplifies to \( 8x + 72 \).

The correct response from your options is:

8⋅x + 72 (8 times x plus 72).