2.7 module 2 post-test

which equation has an answer of $x = 6$?

$-4x + 3 = -2 + x$
$8 + x - 2x = x - 4$
$-x - 3 = -2 + x$
$1 + 3x = 13 + 5x$

Question

2.7 module 2 post-test

which equation has an answer of $x = 6$?

$-4x + 3 = -2 + x$
$8 + x - 2x = x - 4$
$-x - 3 = -2 + x$
$1 + 3x = 13 + 5x$

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": [ "Solving Multi-Step Equations" ], "new_concepts": [], "current_concepts": [ "Solving Multi-Step Equations", "Linear Equations" ] } ## Test the first equation Using the *Solving Multi-Step Equations* knowledge point $$ \begin{aligned} -4x + 3 &= -2 + x \ 3 + 2 &= x + 4x \ 5 &= 5x \ x &= 1 \end{aligned} $$ ## Test the second equation Using the *Solving Multi-Step Equations* knowledge point $$ \begin{aligned} 8 + x - 2x &= x - 4 \ 8 - x &= x - 4 \ 8 + 4 &= x + x \ 12 &= 2x \ x &= 6 \end{aligned} $$ ## Test the third equation Using the *Solving Multi-Step Equations* knowledge point $$ \begin{aligned} -x - 3 &= -2 + x \ -3 + 2 &= x + x \ -1 &= 2x \ x &= -\frac{1}{2} \end{aligned} $$ ## Test the fourth equation Using the *Solving Multi-Step Equations* knowledge point $$ \begin{aligned} 1 + 3x &= 13 + 5x \ 1 - 13 &= 5x - 3x \ -12 &= 2x \ x &= -6 \end{aligned} $$

(A) $-4x + 3 = -2 + x$

(B) $8 + x - 2x = x - 4$

(C) $-x - 3 = -2 + x$

(D) $1 + 3x = 13 + 5x$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Solving Multi-Step Equations" ] }

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