Final answer:
The correct mathematical expression for 'seven less than the quotient of x and 9' is (x ÷ 9) - 7, which corresponds to Option A.
Step-by-step explanation:
The student asked to express 'seven less than the quotient of x and 9' in mathematical terms. The correct representation of this expression is Option A: (x ÷ 9) - 7. This is because you first divide 'x' by 9 to find the quotient and then subtract 7 from it. If you consider the other options, B: 'x - 7 ÷ 9' does not start with the division, C: '(9÷ x) - 7' inverts the quotient and would not give the correct result, and D: 'x ÷ 9/7' describes division by a fraction rather than subtracting 7 from the quotient.