1.5 module 1 post-test

simplify the expression:
$-9(6m - 3) + 6(1 + 4m)$

$\bigcirc$ $-26m - 11$
$\bigcirc$ $-30m + 33$
$\bigcirc$ $-30m^2 + 33$
$\bigcirc$ $23m - 17$

Question

1.5 module 1 post-test

simplify the expression:
$-9(6m - 3) + 6(1 + 4m)$

$\bigcirc$ $-26m - 11$
$\bigcirc$ $-30m + 33$
$\bigcirc$ $-30m^2 + 33$
$\bigcirc$ $23m - 17$

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": [ "Distributive Property", "Combining Like Terms" ], "new_concepts": [], "current_concepts": [ "Distributive Property", "Combining Like Terms", "Simplifying Polynomials" ] } ## Apply the distributive property Using the *Distributive Property* knowledge point $$ \begin{aligned} -9(6m - 3) &= -9 \cdot 6m - (-9) \cdot 3 = -54m + 27\ 6(1 + 4m) &= 6 \cdot 1 + 6 \cdot 4m = 6 + 24m \end{aligned} $$ ## Combine like terms Using the *Combining Like Terms* knowledge point $$ \begin{aligned} (-54m + 27) + (6 + 24m) &= (-54m + 24m) + (27 + 6)\ &= -30m + 33 \end{aligned} $$

(A) $-26m - 11$

(B) $-30m + 33$

(C) $-30m^2 + 33$

(D) $23m - 17$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Simplifying Polynomials" ] }

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QUESTION IMAGE

Question

Explanation:

Apply the distributive property

Combine like terms

Answer: