a patient is prescribed 50 mg of zoloft per day, divided into two equal doses. how much zoloft should be given per dose? write an equation and solve. show your work.

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{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Algebraic Modeling", "Linear Equations" ], "new_concepts": [], "current_concepts": [ "Algebraic Modeling", "Linear Equations", "Word Problems" ] } ## Define the variable and set up the equation Using the *Algebraic Modeling* knowledge point $$ \begin{aligned} &\text{Let } x \text{ be the amount of Zoloft per dose (in mg).}\ &2x = 50 \end{aligned} $$ ## Solve the equation for the unknown dose Using the *Linear Equations* knowledge point $$ \begin{aligned} &x = \frac{50}{2}\ &x = 25 \end{aligned} $$ Equation: $2x = 50$ Solution: $x = 25\text{ mg}$ { "subject": "Mathematics", "question_type": "Word Problem", "knowledge_point": [ "Mathematics", "Algebra", "Algebraic Modeling" ] }

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Explanation:

Define the variable and set up the equation

Solve the equation for the unknown dose

Answer: