Final answer:
The algebraic expression for “seven more than half of a number” is ”1/2n + 7”, with ‘n’ being the variable representing the number.
Step-by-step explanation:
The phrase “seven more than half of a number” can be represented by the algebraic expression ”1/2n + 7”. This expression is derived from taking “half of a number” which translates to 1/2n (where ‘n’ represents the number), and then adding seven to that half, which gives us the ”7” in 1/2n + 7.
To ensure accuracy, eliminate terms wherever possible and check the answer to see if it is reasonable. In this case, since there are no like terms to combine with ”1/2n”, the expression is already in its simplest form, and it reflects the original phrase accurately.