2.7 module 2 post-test

solve the equation: $4(x+7) = 44$

$x =$

Question

2.7 module 2 post-test

solve the equation: $4(x+7) = 44$

$x =$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "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 $$ \begin{aligned} 4(x + 7) &= 44 \ 4x + 28 &= 44 \end{aligned} $$ ## Isolate the variable term Using the *Solving Multi-Step Equations* knowledge point $$ \begin{aligned} 4x + 28 - 28 &= 44 - 28 \ 4x &= 16 \end{aligned} $$ ## Solve for x Using the *Solving Multi-Step Equations* knowledge point $$ \begin{aligned} \frac{4x}{4} &= \frac{16}{4} \ x &= 4 \end{aligned} $$ Solve the equation: $4(x+7) = 44$ $x =$ 4 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "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: