2
QuizMultiple Choice

Multiplying and Dividing Rational Expressions — Quiz

Question 2 • Algebra: Concepts and Connections

Which expression is equivalent to 2 over 7 k times open paren k minus 7 close paren ? Assume k is not equal to 0

Answer
A
2 k over 7 k minus 2 k
B
2 sevenths minus 2 over k
C
2 k over 7 minus 7
D
the fraction with numerator 2 and denominator 7 minus k

Explanation

Interpret the expression as \(\frac{2}{7k}(k-7)\). Distribute the factor: \(\frac{2k}{7k}-\frac{14}{7k}=\frac{2}{7}-\frac{2}{k}\), using \(k\ne0\) to cancel \(k\). This matches choice B, “two sevenths minus 2 over k.”

AI-written and checked against the verified answer.

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