using the distributive property, an expression equivalent to $34 + 16$ is

$2(17 + 8)$
$17(2 + 8)$
$34 + (4)(4)$
$(2)(17) + (4)(4)$

Question

using the distributive property, an expression equivalent to $34 + 16$ is

$2(17 + 8)$
$17(2 + 8)$
$34 + (4)(4)$
$(2)(17) + (4)(4)$

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" ], "new_concepts": [], "current_concepts": [ "Greatest Common Factor", "Distributive Property", "Equivalent Expressions" ] } ## Find the Greatest Common Factor Using the *Greatest Common Factor* knowledge point $$ \begin{aligned} &\text{Factors of } 34: 1, 2, 17, 34 \ &\text{Factors of } 16: 1, 2, 4, 8, 16 \ &\text{GCF}(34, 16) = 2 \end{aligned} $$ ## Apply the Distributive Property Using the *Distributive Property* knowledge point $$ \begin{aligned} 34 + 16 &= 2 \times 17 + 2 \times 8 \ &= 2(17 + 8) \end{aligned} $$

(A) $2(17+8)$

(B) $17(2+8)$

(C) $34+(4)(4)$

(D) $(2)(17)+(4)(4)$

{ "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: