algebraic expressions

6) $-19(-16w - 13)$

7) $18(-12f + 17)$

8) $-14(10 + 11h)$

9) $10(-12m + 19)$

10) $17(-14 + 15y)$

Question

algebraic expressions

6) $-19(-16w - 13)$

7) $18(-12f + 17)$

8) $-14(10 + 11h)$

9) $10(-12m + 19)$

10) $17(-14 + 15y)$

Accepted Answer

{ "quality": "clear", "question_count": 5, "skills_matched": [ "step_cot", "table_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Distributive Property", "Algebraic Simplification" ], "new_concepts": [], "current_concepts": [ "Distributive Property", "Algebraic Simplification" ] } ## Expand Question 6 $$ -19(-16w - 13) = (-19)(-16w) + (-19)(-13) = 304w + 247 $$ ## Expand Question 7 $$ 18(-12f + 17) = 18(-12f) + 18(17) = -216f + 306 $$ ## Expand Questions 8, 9, and 10 $$ \begin{aligned} &\text{Question 8: } -14(10 + 11h) = -14(10) + (-14)(11h) = -140 - 154h\ &\text{Question 9: } 10(-12m + 19) = 10(-12m) + 10(19) = -120m + 190\ &\text{Question 10: } 17(-14 + 15y) = 17(-14) + 17(15y) = -238 + 255y \end{aligned} $$ | No. | Problem | Answer | |---|---|---| | 6 | $-19(-16w - 13)$ | $304w + 247$ | | 7 | $18(-12f + 17)$ | $-216f + 306$ | | 8 | $-14(10 + 11h)$ | $-154h - 140$ | | 9 | $10(-12m + 19)$ | $-120m + 190$ | | 10 | $17(-14 + 15y)$ | $255y - 238$ | { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Algebraic Simplification" ] }

No.	Problem	Answer
7	\(18(-12f + 17)\)	\(-216f + 306\)
8	\(-14(10 + 11h)\)	\(-154h - 140\)
9	\(10(-12m + 19)\)	\(-120m + 190\)
10	\(17(-14 + 15y)\)	\(255y - 238\)

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