use the distributive property to find an expression equivalent to $24 + 64$.

$8(3 + 8)$
$8(4 + 8)$
$24 + (8)(8)$
$(2)(12) + (8)(8)$

Question

use the distributive property to find an expression equivalent to $24 + 64$.

$8(3 + 8)$
$8(4 + 8)$
$24 + (8)(8)$
$(2)(12) + (8)(8)$

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": [ "Greatest Common Factor", "Distributive Property", "Equivalent Expressions" ], "new_concepts": [], "current_concepts": [ "Greatest Common Factor", "Distributive Property", "Equivalent Expressions" ] } ## Find the Greatest Common Factor Using the *Greatest Common Factor* knowledge point $$ \begin{aligned} &\text{Factors of } 24: 1, 2, 3, 4, 6, 8, 12, 24\ &\text{Factors of } 64: 1, 2, 4, 8, 16, 32, 64\ &\text{GCF}(24, 64) = 8 \end{aligned} $$ ## Apply the Distributive Property Using the *Distributive Property* and *Equivalent Expressions* knowledge points $$ \begin{aligned} 24 + 64 &= 8 \times 3 + 8 \times 8\ &= 8(3 + 8) \end{aligned} $$

(A) $8(3 + 8)$

(B) $8(4 + 8)$

(C) $24 + (8)(8)$

(D) $(2)(12) + (8)(8)$

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

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QUESTION IMAGE

Question

Explanation:

Find the Greatest Common Factor

Apply the Distributive Property

Answer: