1. **Problem:** Write an algebraic expression for "Seven more than a number divided by six". 2. **Understanding the problem:** We need to express the phrase "Seven more than a number divided by six" as an algebraic expression. 3. **Step 1:** Let the number be $n$. 4. **Step 2:** "Seven more than a number" means $n + 7$. 5. **Step 3:** "Divided by six" means we divide the entire expression by 6, so the expression is $\frac{n + 7}{6}$. 6. **Final answer:** $$\frac{n + 7}{6}$$ This expression correctly represents "Seven more than a number divided by six".