consider the following equation:
\x + 2y = -2\
step 2 of 2: determine if the given ordered pair, $(-4, 1)$, satisfies the given equation.
answer
yes
no

Question

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": [ "Linear Equations in Two Variables", "Evaluating Algebraic Expressions" ], "new_concepts": [], "current_concepts": [ "Linear Equations in Two Variables", "Evaluating Algebraic Expressions", "Verifying Solutions to Equations" ] } ## Identify the coordinates of the ordered pair Using the *Cartesian Coordinates* knowledge point $$ (x, y) = (-4, 1) \implies x = -4,\ y = 1 $$ ## Substitute the coordinates into the equation Using the *Evaluating Algebraic Expressions* knowledge point $$ \begin{aligned} &\text{Equation: } x + 2y = -2\ &\text{Substitute: } (-4) + 2(1) \end{aligned} $$ ## Simplify and verify the equality Using the *Linear Equations in Two Variables* knowledge point $$ \begin{aligned} &-4 + 2 = -2\ &-2 = -2 \end{aligned} $$

YES

NO

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Linear Equations in Two Variables" ] }

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Question

Explanation:

Identify the coordinates of the ordered pair

Substitute the coordinates into the equation

Simplify and verify the equality

Answer: