Question

which value for \\(x\\) makes the sentence true?

\\\frac{3}{4}x + 4 = 7\\

• 4
• \\(\frac{44}{3}\\)
• -3
• 8

Explanation:

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"multiple_choice_formatter",
"explain_then_answer",
"quick"
],
"needs_drawing": false,
"concepts_used": [
"Solving Linear Equations"
],
"new_concepts": [],
"current_concepts": [
"Solving Linear Equations"
]
}
</pre_analysis>

<reasoning>

Isolate the variable term

\[

$$\begin{aligned} \frac{3}{4}x + 4 &= 7 \\ \frac{3}{4}x &= 7 - 4 \\ \frac{3}{4}x &= 3 \end{aligned}$$

\]

Solve for x

\[

$$\begin{aligned} x &= 3 \cdot \frac{4}{3} \\ x &= 4 \end{aligned}$$

\]
</reasoning>

<answer>
<mcq-correct>(A) 4</mcq-correct>
<mcq-option>(B) \(\frac{44}{3}\)</mcq-option>
<mcq-option>(C) \(-3\)</mcq-option>
<mcq-option>(D) 8</mcq-option>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Multiple Choice",
"knowledge_point": [
"Mathematics",
"Algebra",
"Solving Linear Equations"
]
}
</post_analysis>

Answer:

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"multiple_choice_formatter",
"explain_then_answer",
"quick"
],
"needs_drawing": false,
"concepts_used": [
"Solving Linear Equations"
],
"new_concepts": [],
"current_concepts": [
"Solving Linear Equations"
]
}
</pre_analysis>

<reasoning>

Isolate the variable term

\[

$$\begin{aligned} \frac{3}{4}x + 4 &= 7 \\ \frac{3}{4}x &= 7 - 4 \\ \frac{3}{4}x &= 3 \end{aligned}$$

\]

Solve for x

\[

$$\begin{aligned} x &= 3 \cdot \frac{4}{3} \\ x &= 4 \end{aligned}$$

\]
</reasoning>

<answer>
<mcq-correct>(A) 4</mcq-correct>
<mcq-option>(B) \(\frac{44}{3}\)</mcq-option>
<mcq-option>(C) \(-3\)</mcq-option>
<mcq-option>(D) 8</mcq-option>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Multiple Choice",
"knowledge_point": [
"Mathematics",
"Algebra",
"Solving Linear Equations"
]
}
</post_analysis>