2.7 module 2 post-test

solve the equation: $3(x-2) + 5 = 20$

Question

2.7 module 2 post-test

solve the equation: $3(x-2) + 5 = 20$

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" ] } ## Apply the distributive property Using the *Distributive Property* knowledge point $$ \begin{aligned} 3(x - 2) + 5 &= 20 \ 3x - 6 + 5 &= 20 \end{aligned} $$ ## Combine constant terms Using the *Solving Multi-Step Equations* knowledge point $$ \begin{aligned} 3x - 1 &= 20 \end{aligned} $$ ## Isolate the variable term Using the *Solving Multi-Step Equations* knowledge point $$ \begin{aligned} 3x &= 20 + 1 \ 3x &= 21 \end{aligned} $$ ## Solve for x Using the *Solving Multi-Step Equations* knowledge point $$ \begin{aligned} x &= \frac{21}{3} \ x &= 7 \end{aligned} $$ $x = 7$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Solving Multi-Step Equations" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Apply the distributive property

Combine constant terms

Isolate the variable term

Solve for x

Answer: