Final answer:
A mathematical sentence that expresses that Mr. Jones's algebra class, when split in half, would result in two classes of no more than 17 students each is expressed as: '2s ≤ 34'.
Step-by-step explanation:
The student is asked to write a mathematical sentence that represents the situation where Mr. Jones's algebra class has too many students, and if split in half, each new class would have no more than 17 students. Given that we use s as the variable for the total number of students in the class, the mathematical sentence reflecting this scenario would be:
2s ≤ 34
where 2s represents the total number of students when the class is divided into two classes, and 34 is twice the maximum number of students per class (17 students per class times 2 classes). This indicates that the class, when divided in half, would result in two classes each having 17 or fewer students.