Question

Amy and Stephanie were playing a number game. Amy picked a number and told Stephanie that if she added 9 to the number and multiplied the sum by 2, it would equal 8. Which equation could Stephanie use to find the number, x? A. 2(x + 9) = 8 B. 2(x) + 9 = 8 C. 9(x + 2) = 8 D. 2 + (x + 9) = 8

Answer 1

Answer:

A. 2(x + 9) = 8

Step-by-step explanation:

To solve this problem, we proceed as follows:

- We call "x" the number picked up by Amy:

$x$

- Amy then adds 9 to this number, so we get:

$x+9$

- Then, we multiply this sum by 2, so we get:

$2(x+9)$

- Finally, Amy says that this number is equal to 8:

$2(x+9)=8$

So the correct equation is

A. 2(x + 9) = 8

We can even solve it to find the number. We get:

$2(x+9)=8\\2x+2\cdot 9 = 8\\2x+18=8\\2x+18-18=8-18\\2x=-10\\x=\frac{-10}{2}=-5$