Arizona Educator Proficiency Assessments (AEPA) Practice Exam 2025 - Free AEPA Practice Questions and Study Guide

Question: 1 / 475

If student S has n pencils, which expression represents the number of pencils that student T has if student R has four fewer pencils than student S?

2(n + 4)

n - 2

2(n - 4)

To determine the number of pencils that student T has based on the given information about students S and R, we first need to understand the relationship between their quantities of pencils.

Student S has n pencils. According to the problem, student R has four fewer pencils than student S. Therefore, we can express the number of pencils student R has as n - 4.

The expression given in the correct choice (the selected answer) indicates that student T has twice the number of pencils that student R has. To find this, we take the expression for student R’s pencils, n - 4, and multiply it by 2. This gives us 2(n - 4), which accurately represents the number of pencils student T has.

The result shows that doubling the number of pencils of student R (who has 4 less than student S) captures the relationship among the students clearly. This allows us to see that all the relationships derived from student S's pencil count align logically with the initial condition presented in the problem.

In contrast, other expressions do not capture this relational dynamic accurately. For instance, subtracting a smaller constant from n (as seen in some of the other choices) fails to account for the doubling or maintains inconsistent comparisons

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n + 4

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