one-third of a number decreased by six equals eight. what is the number?

6
14
24
42

Question

one-third of a number decreased by six equals eight. what is the number?

6
14
24
42

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Algebraic Translation", "Linear Equation Formulation" ], "new_concepts": [], "current_concepts": [ "Algebraic Translation", "Linear Equation Formulation" ] } ## Translate the verbal statement into an algebraic equation Let $x$ represent the unknown number. $$ \frac{1}{3}x - 6 = 8 $$ ## Solve the linear equation for x $$ \begin{aligned} \frac{1}{3}x &= 8 + 6 \ \frac{1}{3}x &= 14 \ x &= 14 \times 3 \ x &= 42 \end{aligned} $$

6

14

24

42

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Linear Equation Formulation" ] }

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Question

Explanation:

Translate the verbal statement into an algebraic equation

Solve the linear equation for x

Answer: