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evaluate the expression. 10) \\(x + y\\) when \\(x = 11\\) and \\(y = 6…
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Question

evaluate the expression.

  1. \\(x + y\\) when \\(x = 11\\) and \\(y = 6.4\\)

Explanation:

Response

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"explain_then_answer",
"quick"
],
"needs_drawing": false,
"concepts_used": [],
"new_concepts": [
"Algebraic Substitution",
"Decimal Addition"
],
"current_concepts": [
"Algebraic Substitution",
"Decimal Addition"
]
}
</pre_analysis>

<reasoning>

Substitute the given values into the expression

\[
x + y = 11 + 6.4
\]

Perform the addition

\[
11 + 6.4 = 17.4
\]
</reasoning>

<answer>
\(17.4\)
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Free Response",
"knowledge_point": [
"Mathematics",
"Algebra",
"Algebraic Substitution"
]
}
</post_analysis>

Answer:

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"explain_then_answer",
"quick"
],
"needs_drawing": false,
"concepts_used": [],
"new_concepts": [
"Algebraic Substitution",
"Decimal Addition"
],
"current_concepts": [
"Algebraic Substitution",
"Decimal Addition"
]
}
</pre_analysis>

<reasoning>

Substitute the given values into the expression

\[
x + y = 11 + 6.4
\]

Perform the addition

\[
11 + 6.4 = 17.4
\]
</reasoning>

<answer>
\(17.4\)
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Free Response",
"knowledge_point": [
"Mathematics",
"Algebra",
"Algebraic Substitution"
]
}
</post_analysis>