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

Question

?(1 point)
Responses

8⋅x+48
8 times x plus 48

8⋅x+17
8 times x plus 17

8⋅x+9
8 times x plus 9

8⋅x+72
8 times x plus 72

Answer 1

To find an expression equivalent to \(8(6+x+3)\), let's first simplify the expression inside the parentheses:

\[ 6 + x + 3 = x + 9 \]

Now, substitute this back into the expression:

\[ 8(6 + x + 3) = 8(x + 9) \]

Now, distribute the 8:

\[ 8(x + 9) = 8x + 72 \]

So, the equivalent expression is:

\[ 8 \cdot x + 72 \]

Thus, the correct response is:

8⋅x+72 (8 times x plus 72)