1. **State the problem:** We need to find algebraic expressions for each sentence. 2. **Sentence a:** Multiply $x$ by 2, then subtract 8 from the product. - The product of $x$ and 2 is $2x$. - Subtracting 8 from this product gives $2x - 8$. 3. **Sentence b:** Divide $n$ by 5, then add 12 to the quotient. - Dividing $n$ by 5 is $\frac{n}{5}$. - Adding 12 to this quotient gives $\frac{n}{5} + 12$. 4. **Sentence c:** The product of $x$ and 2 subtracted from 8. - The product of $x$ and 2 is $2x$. - Subtracting this product from 8 means $8 - 2x$. **Final answers:** - a: $2x - 8$ - b: $\frac{n}{5} + 12$ - c: $8 - 2x$