the expression: $-3x + 4y - 12 + 2(4x - 2y) + 1$

simplifies to be: $5x - 11$

true

false

Question

the expression: $-3x + 4y - 12 + 2(4x - 2y) + 1$

simplifies to be: $5x - 11$

true

false

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Combining Like Terms" ], "new_concepts": [], "current_concepts": [ "Combining Like Terms", "Order of Operations" ] } ## Distribute the constant factor Using the *Combining Like Terms* knowledge point $$ 2(4x - 2y) = 8x - 4y $$ ## Rewrite the full expression Using the *Combining Like Terms* knowledge point $$ -3x + 4y - 12 + 8x - 4y + 1 $$ ## Group and combine like terms Using the *Combining Like Terms* knowledge point $$ \begin{aligned} &(-3x + 8x) + (4y - 4y) + (-12 + 1) \ &= 5x + 0y - 11 \ &= 5x - 11 \end{aligned} $$ ## Compare with the given statement Using the *Combining Like Terms* knowledge point The simplified expression $5x - 11$ matches the statement.

True

False

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Combining Like Terms" ] }

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QUESTION IMAGE

Question

Explanation:

Distribute the constant factor

Rewrite the full expression

Group and combine like terms

Compare with the given statement

Answer: