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9. Michael's score on a math quiz was 8 more than one-half of his score on his science quiz. If [tex]s[/tex] is his score on the science quiz, which expression below describes Michael's score on his math quiz?

A. [tex]\frac{s}{2} + 8[/tex]
B. [tex]\frac{s}{8} + 2[/tex]
C. [tex]\frac{1}{2}s - 8[/tex]
D. [tex]\frac{1}{2}(8) + s[/tex]



Answer :

Sure! Let's solve this step-by-step.

We need to express Michael's score on his math quiz based on his score on his science quiz.
Let's denote:
- Michael's score on his science quiz with [tex]\( s \)[/tex].

The problem statement tells us that Michael's score on his math quiz was 8 more than one-half of his score on his science quiz.

1. Find one-half of Michael's science quiz score:
[tex]\[ \frac{s}{2} \][/tex]

2. Add 8 to this value to account for the '8 more' part:
[tex]\[ \frac{s}{2} + 8 \][/tex]

This gives us the expression for Michael's math quiz score.

Now let's match this with the given choices:
- A. [tex]\( \frac{s}{2} + 8 \)[/tex]
- B. [tex]\( \frac{s}{8} + 2 \)[/tex]
- C. [tex]\( \frac{1}{2} s - 8 \)[/tex]
- D. [tex]\( \frac{1}{2}(8) + s \)[/tex]

Option A, [tex]\( \frac{s}{2} + 8 \)[/tex], correctly describes the expression we derived.

Therefore, the correct answer is:
A. [tex]\( \frac{s}{2} + 8 \)[/tex]