Answer:
ˢ⁄₃ ≤ 14
s ≤ 42
Explanation:
This question requires you to apply your algebra knowledge to create an equation (in this case, an inequality) using variables and information. We need to translate the phrases into basic operations.
S would represent the number of students in Mr. Jones's Algebra class.
The info says "if the class were split exactly in equal parts to form 3 new classes." The words 'split' and 'in equal parts' indicate that we need to use the division operator (or a fraction). The "3 new classes" tell us by how many to divide by (the denominator of the fraction). So we write
ˢ⁄₃
The next part forms the inequation. "each class would have no more than 14 students in it"
The "no more than 14" tells us each class can either be 14 or less, so we should use the lesser or equal to sign (≤). So now we join the parts together:
ˢ⁄₃ ≤ 14
Since we now have an equation/inequation and have enough information, we can solve for s (the number of students in Mr. Jones's algebra class).
s ≤ 42
What we have done here is translate the given information into a mathematical sentence