when solving the equation $4(2x+1)=28$, the first step is

subtract 1
distribute the 4
divide by $2x$

Question

when solving the equation $4(2x+1)=28$, the first step is

subtract 1
distribute the 4
divide by $2x$

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": [ "Distributive Property", "Solving Multi-Step Equations" ], "new_concepts": [], "current_concepts": [ "Distributive Property", "Solving Multi-Step Equations" ] } ## Identify the given equation and options Using the *Solving Multi-Step Equations* knowledge point We are given the linear equation: $$ 4(2x + 1) = 28 $$ We need to determine the correct first step from the following options: - Subtract 1 - Distribute the 4 - Divide by 2x ## Apply algebraic properties to find the first step Using the *Distributive Property* knowledge point $$ \begin{aligned} &4(2x + 1) = 4 \cdot 2x + 4 \cdot 1 = 8x + 4\ &\text{Therefore, the first standard step to simplify the left side is to distribute the 4.} \end{aligned} $$

Subtract 1

Distribute the 4

Divide by 2x

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Solving Multi-Step Equations" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the given equation and options

Apply algebraic properties to find the first step

Answer: