2.7 module 2 post-test

which equation has a solution of $x = -2$?

$5x + 3 = 3x - 7$
$3x - 5 = x - 9$
$4x + 6 = 2x - 2$
$6x - 1 = 4x + 3$

Question

2.7 module 2 post-test

which equation has a solution of $x = -2$?

$5x + 3 = 3x - 7$
$3x - 5 = x - 9$
$4x + 6 = 2x - 2$
$6x - 1 = 4x + 3$

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", "Evaluating Expressions" ], "new_concepts": [], "current_concepts": [ "Solving Multi-Step Equations", "Evaluating Expressions" ] } ## Test the first equation Using the *Evaluating Expressions* and *Solving Multi-Step Equations* knowledge points $$ \begin{aligned} &\text{Substitute } x = -2 \text{ into } 5x + 3 = 3x - 7:\ &\text{LHS: } 5(-2) + 3 = -10 + 3 = -7\ &\text{RHS: } 3(-2) - 7 = -6 - 7 = -13\ &-7 eq -13 \end{aligned} $$ ## Test the second equation Using the *Evaluating Expressions* and *Solving Multi-Step Equations* knowledge points $$ \begin{aligned} &\text{Substitute } x = -2 \text{ into } 3x - 5 = x - 9:\ &\text{LHS: } 3(-2) - 5 = -6 - 5 = -11\ &\text{RHS: } (-2) - 9 = -11\ &-11 = -11 \end{aligned} $$ ## Test the third equation Using the *Evaluating Expressions* and *Solving Multi-Step Equations* knowledge points $$ \begin{aligned} &\text{Substitute } x = -2 \text{ into } 4x + 6 = 2x - 2:\ &\text{LHS: } 4(-2) + 6 = -8 + 6 = -2\ &\text{RHS: } 2(-2) - 2 = -4 - 2 = -6\ &-2 eq -6 \end{aligned} $$ ## Test the fourth equation Using the *Evaluating Expressions* and *Solving Multi-Step Equations* knowledge points $$ \begin{aligned} &\text{Substitute } x = -2 \text{ into } 6x - 1 = 4x + 3:\ &\text{LHS: } 6(-2) - 1 = -12 - 1 = -13\ &\text{RHS: } 4(-2) + 3 = -8 + 3 = -5\ &-13 eq -5 \end{aligned} $$

(A) $5x + 3 = 3x - 7$

(B) $3x - 5 = x - 9$

(C) $4x + 6 = 2x - 2$

(D) $6x - 1 = 4x + 3$

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

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Explanation:

Test the first equation

Test the second equation

Test the third equation

Test the fourth equation

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