evaluating a quadratic expression: integers

sample question

evaluate the expression when $y = -7$.

\y^2 + 4y - 2\

Question

evaluating a quadratic expression: integers

sample question

evaluate the expression when $y = -7$.

\y^2 + 4y - 2\

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Algebraic Expressions" ], "new_concepts": [ "Evaluating Quadratic Expressions" ], "current_concepts": [ "Algebraic Expressions", "Evaluating Quadratic Expressions" ] } ## Substitute the given value into the expression Using the *Algebraic Expressions* knowledge point $$ \begin{aligned} &y = -7\ &y^2 + 4y - 2 = (-7)^2 + 4(-7) - 2 \end{aligned} $$ ## Simplify the squared term Using the *Algebraic Expressions* knowledge point $$ (-7)^2 = 49 $$ ## Simplify the linear term Using the *Algebraic Expressions* knowledge point $$ 4(-7) = -28 $$ ## Combine the simplified terms Using the *Algebraic Expressions* knowledge point $$ \begin{aligned} &49 + (-28) - 2\ &= 21 - 2\ &= 19 \end{aligned} $$ Evaluate the expression when $y = -7$. $$y^2 + 4y - 2$$ The evaluated value is 19. { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Evaluating Quadratic Expressions" ] }

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Question

Explanation:

Substitute the given value into the expression

Simplify the squared term

Simplify the linear term

Combine the simplified terms

Answer: