\\frac{1}{4}r + 2 = 10\
\\frac{1}{4}r = 12\quad \text{step 1}\
\
= 48\quad \text{step 2}\

Question

\\frac{1}{4}r + 2 = 10\
\\frac{1}{4}r = 12\quad \text{step 1}\
\
 = 48\quad \text{step 2}\

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Linear Equations", "Two-Step Equations", "Fractional Coefficients" ], "new_concepts": [], "current_concepts": [ "Linear Equations", "Two-Step Equations", "Fractional Coefficients", "Error Analysis" ] } ## Identify the error in Step 1 $$ \begin{aligned} &\text{Original equation: } \frac{1}{4}r + 2 = 10\ &\text{Correct Step 1: } \frac{1}{4}r = 10 - 2 \implies \frac{1}{4}r = 8\ &\text{Given Step 1: } \frac{1}{4}r = 12 \quad (\text{Incorrectly added 2 instead of subtracting}) \end{aligned} $$ ## Solve the equation correctly $$ \begin{aligned} &\frac{1}{4}r = 8\ &r = 8 \times 4\ &r = 32 \end{aligned} $$ In Step 1, 2 was incorrectly added to 10 instead of subtracted. The correct steps are: * **Step 1:** $\frac{1}{4}r = 8$ * **Step 2:** $r = 32$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Linear Equations" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Identify the error in Step 1

Solve the equation correctly

Answer: