Final answer:
The verbal phrase 'One-fourth times a number n, minus thirty' is represented mathematically as ¼n - 30. You achieve this by translating 'one-fourth times a number n' to ¼n and then subtracting thirty to form the complete expression.
Step-by-step explanation:
The expression that represents the verbal phrase "One-fourth times a number n, minus thirty" is ¼n - 30.
To construct this expression, you start by identifying the phrase "one-fourth times a number n", which translates to the mathematical operation ¼ * n (or ¼n, as multiplication by a variable does not require an explicit multiplication sign). Then, you incorporate the "minus thirty" part of the phrase, which means you subtract 30 from the previous product. Therefore, you combine these two parts to form the complete algebraic expression which is ¼n - 30. This expression can be used in various algebraic calculations or equations to solve for n.