evaluating a linear expression: integer multiplication with addition or subtraction

sample question

evaluate the expression when $b = 5$ and $c = -7$.

\6b - c\

Question

evaluating a linear expression: integer multiplication with addition or subtraction

sample question

evaluate the expression when $b = 5$ and $c = -7$.

\6b - c\

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Evaluating Quadratic Expressions" ], "new_concepts": [ "Evaluating Linear Expressions" ], "current_concepts": [ "Evaluating Quadratic Expressions", "Evaluating Linear Expressions" ] } ## Identify the given values Using the *Evaluating Quadratic Expressions* knowledge point $$ \begin{aligned} &b = 5\ &c = -7 \end{aligned} $$ ## Substitute the values into the expression Using the *Evaluating Quadratic Expressions* knowledge point $$ \begin{aligned} 6b - c &= 6(5) - (-7) \end{aligned} $$ ## Perform the multiplication Using the *Evaluating Quadratic Expressions* knowledge point $$ \begin{aligned} 6(5) &= 30 \end{aligned} $$ ## Simplify the subtraction of a negative number Using the *Evaluating Quadratic Expressions* knowledge point $$ \begin{aligned} 30 - (-7) &= 30 + 7\ &= 37 \end{aligned} $$ Evaluate the expression when $b = 5$ and $c = -7$. $$6b - c =$$ 37 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Evaluating Linear Expressions" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the given values

Substitute the values into the expression

Perform the multiplication

Simplify the subtraction of a negative number

Answer: