ming drew the model below to represent the equation $24 + 12 = ?(8 + 4)$.

what is the missing value (?) in mings equation?

3
4
12
24

Question

ming drew the model below to represent the equation $24 + 12 = ?(8 + 4)$.

what is the missing value (?) in mings equation?

3
4
12
24

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": [ "Distributive Property", "Area Model", "Greatest Common Factor" ], "new_concepts": [], "current_concepts": [ "Distributive Property", "Area Model", "Greatest Common Factor", "Equivalent Expressions" ] } ## Analyze the given equation Using the **Equivalent Expressions** knowledge point $$ 24 + 12 = ?(8 + 4) $$ ## Relate the equation to the visual model Using the **Area Model** knowledge point $$ \begin{aligned} &\text{Total height} = 3\ &\text{Pink width} = 8,\quad \text{Pink area} = 3 \times 8 = 24\ &\text{Green width} = 4,\quad \text{Green area} = 3 \times 4 = 12 \end{aligned} $$ ## Apply the distributive property Using the **Distributive Property** and **Greatest Common Factor** knowledge points $$ \begin{aligned} &24 + 12 = 3 \times 8 + 3 \times 4\ &3 \times 8 + 3 \times 4 = 3(8 + 4)\ &? = 3 \end{aligned} $$

(A) 3

(B) 4

(C) 12

(D) 24

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Distributive Property" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Analyze the given equation

Relate the equation to the visual model

Apply the distributive property

Answer: