Translate the following into an equation and then solve the equation.

"Half a number plus 9, is -7"

(1 point)
Responses

The number is -14
The number is -14

The number is -8
The number is -8

The number is -32
The number is -32

The number is -21

1 answer

Let the number be represented by \( x \).

According to the statement: "Half a number plus 9, is -7", we can translate this into the equation:

\[ \frac{x}{2} + 9 = -7 \]

Now, to solve for \( x \):

  1. Subtract 9 from both sides of the equation:

\[ \frac{x}{2} = -7 - 9 \] \[ \frac{x}{2} = -16 \]

  1. Multiply both sides by 2 to isolate \( x \):

\[ x = -16 \times 2 \] \[ x = -32 \]

Thus, the number is -32.

So the correct response is:

The number is -32.