to solve $2x-7=9$, you should first multiply both sides by 2.

true
false

Question

to solve $2x-7=9$, you should first multiply both sides by 2.

true
false

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": [ "Linear Equations" ], "new_concepts": [ "Solving Multi-Step Equations" ], "current_concepts": [ "Linear Equations", "Solving Multi-Step Equations" ] } ## Analyze the equation and proposed first step Using the *Linear Equations* knowledge point $$ \begin{aligned} &2x - 7 = 9\ &\text{To isolate } x, \text{ we undo operations in reverse order of operations.}\ &\text{First, add } 7 \text{ to both sides: } 2x = 16\ &\text{Second, divide both sides by } 2: x = 8 \end{aligned} $$ ## Evaluate the statement Using the *Linear Equations* knowledge point $$ \begin{aligned} &\text{The statement claims we should first multiply both sides by } 2.\ &\text{Multiplying first is unnecessary and complicates the equation: } 4x - 14 = 18.\ &\text{Therefore, the statement is false.} \end{aligned} $$

True

(B) False

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Linear Equations" ] }

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Question

Explanation:

Analyze the equation and proposed first step

Evaluate the statement

Answer: