6
QuizMultiple Choice

Adding and Subtracting Rational Expressions — Quiz

Question 6 • Algebra: Concepts and Connections

What is the value of the rational expression the fraction with numerator 6 minus x and denominator x plus 5 when x is equal to 2 ?

Answer
A
4 sevenths
B
8 sevenths
C
8 fifths
D
4 fifths

Explanation

Substitute x = 2 into the expression (6 − x)/(x + 5). The numerator becomes 6 − 2 = 4, and the denominator becomes 2 + 5 = 7, so the value is 4/7. This matches choice A, four sevenths.

AI-written and checked against the verified answer.

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