1.5 module 1 post-test

evaluate the expression $y - (4 - x - y \div 2)$; use $x = 3$, and $y = 2$

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Question

1.5 module 1 post-test

evaluate the expression $y - (4 - x - y \div 2)$; use $x = 3$, and $y = 2$

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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 Expressions", "Order of Operations" ], "new_concepts": [], "current_concepts": [ "Evaluating Expressions", "Order of Operations" ] } ## Substitute the given values Using the *Evaluating Expressions* knowledge point $$ \begin{aligned} &x = 3,\quad y = 2\ &y - (4 - x - y \div 2) = 2 - (4 - 3 - 2 \div 2) \end{aligned} $$ ## Perform operations inside parentheses Using the *Order of Operations* knowledge point $$ \begin{aligned} &2 \div 2 = 1\ &4 - 3 - 1 = 1 - 1 = 0 \end{aligned} $$ ## Calculate the final value Using the *Order of Operations* knowledge point $$ 2 - 0 = 2 $$ Evaluate the expression $y - (4 - x - y \div 2)$; use $x = 3$, and $y = 2$ = 2 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Evaluating Expressions" ] }

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QUESTION IMAGE

Question

Explanation:

Substitute the given values

Perform operations inside parentheses

Calculate the final value

Answer: