Final answer:
The expression for '7 more than 1/3 of x' is '7 + x/3', which translates to adding 7 to one-third of x.
Step-by-step explanation:
The expression "7 more than 1/3 of x" means we start with one-third of x and add 7 to it. Mathematically, one-third of x is represented as x/3. Therefore, to express '7 more than 1/3 of x,' we add 7 to x/3, resulting in the expression 7 + x/3.
We arrive at this expression by first translating '1/3 of x' into algebra as x/3. Then, we interpret '7 more than' as an addition of 7 to this quantity, which is simply adding 7 to x/3.