7.2 adding & subtracting polynomials quiz

$10x^2$ and $5x^2y$ are like terms because they both contain an $x^2$.

true
false

Question

7.2 adding & subtracting polynomials quiz

$10x^2$ and $5x^2y$ are like terms because they both contain an $x^2$.

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", "Simplifying Polynomials" ] } ## Define like terms Using the *Combining Like Terms* knowledge point $$ \text{Like terms must have the exact same variables raised to the exact same exponents.} $$ ## Analyze the given terms Using the *Combining Like Terms* knowledge point $$ \begin{aligned} &\text{Term 1: } 10x^2 \implies \text{Variable part: } x^2\ &\text{Term 2: } 5x^2y \implies \text{Variable part: } x^2y\ &x^2 eq x^2y \end{aligned} $$ ## Evaluate the statement Using the *Combining Like Terms* knowledge point $$ \text{Since the variable parts are not identical, the terms are not like terms. The statement is False.} $$

True

(B) False

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

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Question

Explanation:

Define like terms

Analyze the given terms

Evaluate the statement

Answer: