4. simplify $\frac{3-4|2(-3)|}{|-3|}$

7

9

-9

-7

Question

4. simplify $\frac{3-4|2(-3)|}{|-3|}$

7

9

-9

-7

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": [ "Order of Operations", "Algebraic Simplification" ], "new_concepts": [ "Absolute Value Evaluation" ], "current_concepts": [ "Order of Operations", "Algebraic Simplification", "Absolute Value Evaluation" ] } ## Evaluate the absolute value expressions Using the *Order of Operations* and *Algebraic Simplification* knowledge points $$ \begin{aligned} |2(-3)| &= |-6| = 6\ |-3| &= 3 \end{aligned} $$ ## Substitute and simplify the numerator Using the *Order of Operations* and *Algebraic Simplification* knowledge points $$ 3 - 4|2(-3)| = 3 - 4(6) = 3 - 24 = -21 $$ ## Divide the numerator by the denominator Using the *Order of Operations* and *Algebraic Simplification* knowledge points $$ \frac{-21}{3} = -7 $$

7

9

-9

-7

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Absolute Value Evaluation" ] }

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QUESTION IMAGE

Question

Explanation:

Evaluate the absolute value expressions

Substitute and simplify the numerator

Divide the numerator by the denominator

Answer: