Question

Question was provided via image upload.

Explanation:

Identify the visible options

The visible multiple-choice options in the image are:

• \(6 + x\)
• \(\frac{6 + x}{8}\)
• \(6 + 8x\)
• \(6(8x)\)

Infer the missing question stem

The options represent algebraic expressions translating a verbal phrase.

• \(6 + x\) represents "six more than \(x\)" or "the sum of six and \(x\)".
• \(\frac{6 + x}{8}\) represents "the sum of six and \(x\), divided by eight" or "one-eighth of the sum of six and \(x\)".
• \(6 + 8x\) represents "six more than the product of eight and \(x\)" or "six more than eight times \(x\)".
• \(6(8x)\) represents "six times the product of eight and \(x\)".

A standard curriculum question matching these options is:
"Write an algebraic expression for: six more than eight times a number \(x\)."

Select the correct expression

Evaluating the inferred standard prompt "six more than eight times \(x\)":

• "eight times \(x\)" translates to \(8x\).
• "six more than" translates to adding \(6\).
• Combining these gives \(6 + 8x\).

Answer:

• (A) \(6 + x\)
• (B) \(\frac{6 + x}{8}\)
• (C) \(6 + 8x\) (Correct answer)
• (D) \(6(8x)\)