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

Question

"twice a number plus 7, is 23"

(1 point)
Responses

The number is 3
The number is 3

The number is 21
The number is 21

The number is 16
The number is 16

The number is 8

Answer 1

Let's break down the statement "twice a number plus 7, is 23" into an equation.

1. Let the unknown number be represented by \( x \).
2. "Twice a number" translates to \( 2x \).
3. "Plus 7" means we add 7, so we have \( 2x + 7 \).
4. "Is 23" means that this expression equals 23.

So, the equation is: \[ 2x + 7 = 23 \]

Now, let's solve the equation:

1. Subtract 7 from both sides: \[ 2x + 7 - 7 = 23 - 7 \] \[ 2x = 16 \]

2. Divide both sides by 2: \[ \frac{2x}{2} = \frac{16}{2} \] \[ x = 8 \]

Thus, the solution is: The number is 8.