The image shows a set of algebraic expressions that require translation from verbal descriptions into mathematical equations. Here's a breakdown of the statements and their corresponding equations:

1. "Twice the sum of a number and -8."

   • This translates to $2(x - 8)$, where $x$ is the unknown number.

2. "The quotient of a number and 2 subtracted from 12."

   • This becomes $12 - \frac{x}{2}$, where $x$ represents the unknown number.

3. "Eight less than the product of -2 and a number is 14."

   • This can be written as $-2x - 8 = 14$, where $x$ is the unknown number.

Would you like further details on solving any of these equations, or do you have other questions?

Here are five related questions you could explore:

1. How do you solve $2(x - 8) = 20$ for $x$?
2. What is the solution for $12 - \frac{x}{2} = 6$?
3. How do you isolate $x$ in $-2x - 8 = 14$?
4. Can you simplify $2(x - 8) + 4x = 0$?
5. How do you graph $12 - \frac{x}{2}$ on a coordinate plane?

Tip: Always check your work by substituting your solution back into the original equation to verify the correctness!