2.7 module 2 post-test

solve the equation: $6(-6x-2) = -84$

Question

2.7 module 2 post-test

solve the equation: $6(-6x-2) = -84$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Distributive Property", "Solving Multi-Step Equations" ], "new_concepts": [], "current_concepts": [ "Distributive Property", "Solving Multi-Step Equations", "Linear Equations" ] } ## Apply the distributive property Using the *Distributive Property* knowledge point $$ \begin{aligned} 6(-6x - 2) &= -84 \ -36x - 12 &= -84 \end{aligned} $$ ## Isolate the variable term Using the *Solving Multi-Step Equations* knowledge point $$ \begin{aligned} -36x - 12 + 12 &= -84 + 12 \ -36x &= -72 \end{aligned} $$ ## Solve for x Using the *Solving Multi-Step Equations* knowledge point $$ \begin{aligned} x &= \frac{-72}{-36} \ x &= 2 \end{aligned} $$ $x = 2$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Solving Multi-Step Equations" ] }

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QUESTION IMAGE

Question

Explanation:

Apply the distributive property

Isolate the variable term

Solve for x

Answer: