18. when $x = -2$, what is the value of $|2x^2| + 4x - (3 + |-2x|)$?

(a) -7
(b) -3
(c) 1
(d) 5

Question

18. when $x = -2$, what is the value of $|2x^2| + 4x - (3 + |-2x|)$?

(a) -7
(b) -3
(c) 1
(d) 5

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Negative Number Multiplication" ], "new_concepts": [ "Algebraic Substitution", "Absolute Value Evaluation" ], "current_concepts": [ "Algebraic Substitution", "Negative Number Multiplication", "Absolute Value Evaluation" ] } ## Substitute the value of x into the expression $$ \begin{aligned} x &= -2 \ E &= [2x^2] + 4x - (3 + |-2x|) \ E &= [2(-2)^2] + 4(-2) - (3 + |-2(-2)|) \end{aligned} $$ ## Simplify each term of the expression $$ \begin{aligned} 2(-2)^2 &= 2(4) = 8 \ 4(-2) &= -8 \ |-2(-2)| &= |4| = 4 \end{aligned} $$ ## Calculate the final value $$ \begin{aligned} E &= 8 + (-8) - (3 + 4) \ E &= 0 - 7 \ E &= -7 \end{aligned} $$

(A)-7

(B)-3

(C) 1

(D) 5

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

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QUESTION IMAGE

Question

Explanation:

Substitute the value of x into the expression

Simplify each term of the expression

Calculate the final value

Answer: