write an equivalent expression.

$(x + 7) + 3y$

choose the correct answer below.

a. $(x + 7) + 3y = x + (7 + 3y)$
b. $(x + 7) + 3y = 7 - (x + 3y)$
c. $(x + 7) + 3y = x(7 + 3y)$
d. $(x + 7) + 3y = 3(x + 7) + y$

Question

write an equivalent expression.

$(x + 7) + 3y$

choose the correct answer below.

a. $(x + 7) + 3y = x + (7 + 3y)$
b. $(x + 7) + 3y = 7 - (x + 3y)$
c. $(x + 7) + 3y = x(7 + 3y)$
d. $(x + 7) + 3y = 3(x + 7) + y$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Equivalent Expressions" ], "new_concepts": [ "Associative Property" ], "current_concepts": [ "Equivalent Expressions", "Associative Property" ] } ## Apply the associative property of addition $$ (x + 7) + 3y = x + (7 + 3y) $$ ## Compare with the given options $$ \begin{aligned} &\text{Option A: } (x + 7) + 3y = x + (7 + 3y) \ &\text{Option B: } (x + 7) + 3y = 7 - (x + 3y) \ &\text{Option C: } (x + 7) + 3y = x(7 + 3y) \ &\text{Option D: } (x + 7) + 3y = 3(x + 7) + y \end{aligned} $$

A. $(x + 7) + 3y = x + (7 + 3y)$

B. $(x + 7) + 3y = 7 - (x + 3y)$

C. $(x + 7) + 3y = x(7 + 3y)$

D. $(x + 7) + 3y = 3(x + 7) + y$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Equivalent Expressions" ] }

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QUESTION IMAGE

Question

Explanation:

Apply the associative property of addition

Compare with the given options

Answer: