7
QuizMultiple Choice

Adding and Subtracting Rational Expressions — Quiz

Question 7 • Algebra: Concepts and Connections

For which rational expressions is negative 5 an excluded value? Choose two correct answers.

Answer
A
the fraction with numerator 2 x plus 1 and denominator x squared plus 25
B
the fraction with numerator x minus 5 and denominator x squared plus 5 x
C
the fraction with numerator x squared minus 5 and denominator x squared plus 5
D
the fraction with numerator x plus 5 and denominator x minus 5
E
the fraction with numerator x minus 3 and denominator x squared minus 25

Explanation

A value is excluded when it makes the denominator zero. In choice B, substituting x = −5 gives (−5)² + 5(−5) = 25 − 25 = 0. In choice E, the denominator becomes (−5)² − 25 = 25 − 25 = 0, so −5 is excluded for both expressions.

AI-written and checked against the verified answer.

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