Question

which phrase could be best represented by the algebraic expression \\(\frac{m}{2} - 8\\)?

a. 8 less than the quotient of m divided by 2
b. 8 less than a number m
c. the difference between a number m and 8
d. the quotient of 2 and a number m
click to select your answer and then click check answer.
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Explanation:

Step1: Analyze Option A

The expression \(\frac{m}{2}\) is the quotient of \(m\) divided by 2. Then \(\frac{m}{2}-8\) means 8 less than that quotient. So this option matches.

Step2: Analyze Option B

"8 less than a number \(m\)" would be \(m - 8\), not \(\frac{m}{2}-8\). So this is incorrect.

Step3: Analyze Option C

"The difference between a number \(m\) and 8" is \(|m - 8|\) or \(m - 8\) (depending on context), not \(\frac{m}{2}-8\). Incorrect.

Step4: Analyze Option D

The option text seems garbled, but "the quotient of 2 and a number \(m\)" would be \(\frac{2}{m}\), not related to \(\frac{m}{2}-8\). Incorrect.

Answer:

A. 8 less than the quotient of m divided by 2