perform the indicated operation(s) and simplify.

\10a - 5a + 3(a - 2) + 7\

Question

perform the indicated operation(s) and simplify.

\10a - 5a + 3(a - 2) + 7\

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Polynomial Simplification", "Distributive Property with Polynomials", "Polynomial Subtraction" ], "new_concepts": [], "current_concepts": [ "Polynomial Simplification", "Distributive Property with Polynomials", "Polynomial Subtraction" ] } ## Simplify the inner parentheses $$ 3(a - 2) = 3a - 6 $$ ## Simplify the expression inside the brackets $$ \begin{aligned} 5a + 3(a - 2) + 7 &= 5a + 3a - 6 + 7 \ &= 8a + 1 \end{aligned} $$ ## Subtract the bracketed expression from the leading term $$ \begin{aligned} 10a - [8a + 1] &= 10a - 8a - 1 \ &= 2a - 1 \end{aligned} $$ Perform the indicated operation(s) and simplify. $10a - [5a + 3(a - 2) + 7] =$ $2a - 1$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Polynomial Simplification" ] }

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QUESTION IMAGE

Question

Explanation:

Simplify the inner parentheses

Simplify the expression inside the brackets

Subtract the bracketed expression from the leading term

Answer: