5) what is $y \div 5$, when $y = 100$?
6) what is $30 - w$, when $w = 12$?
7) what is $8q$, when $q = 11$?
8) what is $150 + a$, when $a = 220$?

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Accepted Answer

{ "quality": "clear", "question_count": 4, "skills_matched": [ "step_cot", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Variable Substitution", "Algebraic Evaluation" ], "new_concepts": [], "current_concepts": [ "Variable Substitution", "Algebraic Evaluation" ] } ## Evaluate the first expression Using the *Variable Substitution* and *Algebraic Evaluation* knowledge points $$ \begin{aligned} &y \div 5 \quad \text{where } y = 100 \ &100 \div 5 = 20 \end{aligned} $$ ## Evaluate the second expression Using the *Variable Substitution* and *Algebraic Evaluation* knowledge points $$ \begin{aligned} &30 - w \quad \text{where } w = 12 \ &30 - 12 = 18 \end{aligned} $$ ## Evaluate the third expression Using the *Variable Substitution* and *Algebraic Evaluation* knowledge points $$ \begin{aligned} &8q \quad \text{where } q = 11 \ &8 \times 11 = 88 \end{aligned} $$ ## Evaluate the fourth expression Using the *Variable Substitution* and *Algebraic Evaluation* knowledge points $$ \begin{aligned} &150 + a \quad \text{where } a = 220 \ &150 + 220 = 370 \end{aligned} $$ ## Question 5 What is $y \div 5$, when $y = 100$? The answer is 20. ## Question 6 What is $30 - w$, when $w = 12$? The answer is 18. ## Question 7 What is $8q$, when $q = 11$? The answer is 88. ## Question 8 What is $150 + a$, when $a = 220$? The answer is 370. { "subject": "Mathematics", "question_type": "Multi-part", "knowledge_point": [ "Mathematics", "Algebra", "Variable Substitution" ] }

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Explanation:

Evaluate the first expression

Evaluate the second expression

Evaluate the third expression

Evaluate the fourth expression

Answer:

Question 5

Question 6

Question 7

Question 8