write an equivalent expression to $x - 4y + 9$.

choose the correct answer below.

a. $x - 4y + 9 = x - (-4y) + 9$
b. $x - 4y + 9 = x + 9 + (-4y)$
c. $x - 4y + 9 = 9(x - 4y + 1)$
d. $x - 4y + 9 = x + 9 + 4y$

Question

write an equivalent expression to $x - 4y + 9$.

choose the correct answer below.

a. $x - 4y + 9 = x - (-4y) + 9$
b. $x - 4y + 9 = x + 9 + (-4y)$
c. $x - 4y + 9 = 9(x - 4y + 1)$
d. $x - 4y + 9 = x + 9 + 4y$

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": [], "current_concepts": [ "Equivalent Expressions", "Algebraic Expressions" ] } ## Analyze the original expression $$ x - 4y + 9 $$ ## Evaluate the given options $$ \begin{aligned} &\text{Option A: } x - (-4y) + 9 = x + 4y + 9 eq x - 4y + 9 \ &\text{Option B: } x + 9 + (-4y) = x - 4y + 9 \ &\text{Option C: } 9(x - 4y + 1) = 9x - 36y + 9 eq x - 4y + 9 \ &\text{Option D: } x + 9 + 4y eq x - 4y + 9 \end{aligned} $$

(A) $x - 4y + 9 = x - (-4y) + 9$

(B) $x - 4y + 9 = x + 9 + (-4y)$

(C) $x - 4y + 9 = 9(x - 4y + 1)$

(D) $x - 4y + 9 = x + 9 + 4y$

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

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QUESTION IMAGE

Question

Explanation:

Analyze the original expression

Evaluate the given options

Answer: