Final answer:
The algebraic expression based on the question is z - 11 = 35. Solving for z gives us the value of 46.
Step-by-step explanation:
The question asked involves setting up and solving a basic algebraic equation. When the student states that the difference between a number z and 11 is equal to 35, we can translate this into the algebraic expression z - 11 = 35. To find the value of z, we need to isolate the variable on one side of the equation. This is done by adding 11 to both sides of the equation, giving us z = 35 + 11, which simplifies to z = 46.