question 2 (2.5 points)
evaluate: $a^2 - 3b$ when $a = 2$ and $b = -3$

11
-5
13
15

Question

question 2 (2.5 points)
evaluate: $a^2 - 3b$ when $a = 2$ and $b = -3$

11
-5
13
15

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Algebraic Evaluation", "Order of Operations", "Multiplying Negative Numbers" ], "new_concepts": [], "current_concepts": [ "Algebraic Evaluation", "Order of Operations", "Multiplying Negative Numbers" ] } ## Substitute the given values into the expression $$ \begin{aligned} &a = 2,\quad b = -3\ &a^2 - 3b = (2)^2 - 3(-3) \end{aligned} $$ ## Evaluate the exponent and multiplication $$ \begin{aligned} &(2)^2 = 4\ &-3(-3) = 9 \end{aligned} $$ ## Add the terms to find the final value $$ 4 + 9 = 13 $$

11

-5

13

15

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

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QUESTION IMAGE

Question

Explanation:

Substitute the given values into the expression

Evaluate the exponent and multiplication

Add the terms to find the final value

Answer: