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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!

Translate the following verbal descriptions into mathematical expressions: 1) Twice the sum of a number and -8. 2) The quotient of a number and 2 subtracted from 12. 3) Eight less than the product of -2 and a number is 14.

Learn how to translate verbal mathematical statements into algebraic expressions. This problem includes examples such as 'Twice the sum of a number and -8,' and 'The quotient of a number and 2 subtracted from 12.' Suitable for Grades 6-8 students.

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