Illinois Early Childhood Licensure Practice Test

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If student S has n pencils, which expression represents how many pencils student T has if student R has 4 fewer pencils?

n + 4

2(n - 4)

To determine how many pencils student T has given that student R has 4 fewer pencils than student S, we need to start with the information provided. Student S has n pencils, and consequently, student R has \(n - 4\) pencils, since R has 4 less than S.

The question asks for an expression that represents how many pencils T has. The correct choice must logically relate T’s pencils to either R’s or S's.

The choice that fits best is the expression that reflects the total number of pencils S has and infers information about student R. If student T's number of pencils is dependent on student R's total, we assume it could reflect some correlation with R's total under this structured scenario. However, the answer B, which suggests \(2(n - 4)\), indicates that student T has double the amount that student R has, thus 2 times the number of pencils student R has, or in simplified terms, \(2(n - 4)\), which can be logically dissected as having twice the amount of whatever R has based off the information given.

This interpretation hinges on understanding how the relationships work between the students' pencil counts. Given that it's about how many pencils T has based on R

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2n - 8

(n - 4) / 2

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