To determine in which section Sarah will find the question, let's go through the question itself and categorize it based on the content:
The question is asking for the value of an algebraic expression given specific values for the variables [tex]\(x\)[/tex] and [tex]\(y\)[/tex]. Specifically, we need to find the value of [tex]\(2x^2 + 3xy + 4y^2\)[/tex] when [tex]\(x = 2\)[/tex] and [tex]\(y = -4\)[/tex].
Here's the breakdown:
1. The expression given is [tex]\(2x^2 + 3xy + 4y^2\)[/tex].
2. Such an expression involves operations with variables (multiplication, exponentiation, and addition).
3. These types of operations and expressions are typically studied in Algebra, as they go beyond simple arithmetic (which deals only with basic operations of numbers without variables).
Given the nature of the problem, it aligns well with the topics covered in Elementary Algebra rather than basic arithmetic or reading/writing skills.
Therefore, the correct answer is:
A. Elementary Algebra
