1. The problem asks us to find an algebraic expression for "seven times the sum of a number, n, and four." 2. The phrase "sum of a number, n, and four" means we add n and 4: $$n + 4$$. 3. "Seven times" means we multiply the sum by 7: $$7 \times (n + 4)$$. 4. So the expression is $$7(n + 4)$$. 5. Looking at the options: - A. $$4(n + 7)$$ means 4 times the sum of n and 7, which is incorrect. - B. $$7(n + 4)$$ matches our expression. - C. $$7n + 4$$ means 7 times n plus 4, which is not the sum multiplied by 7. - D. $$n(4 + 7)$$ means n times 11, which is not the phrase. 6. Therefore, the correct expression is option B: $$7(n + 4)$$.