what is $x + 4z - 5 - 3x$, when $x = 2$ and $z = 3x$?

a 15

b 17

c 23

d 26

Question

what is $x + 4z - 5 - 3x$, when $x = 2$ and $z = 3x$?

a 15

b 17

c 23

d 26

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Algebraic Substitution", "Evaluating Expressions" ], "current_concepts": [ "Algebraic Substitution", "Evaluating Expressions" ] } ## Evaluate the variable z $$ \begin{aligned} x &= 2 \ z &= 3x = 3(2) = 6 \end{aligned} $$ ## Substitute values into the expression $$ \begin{aligned} &\text{Expression: } x + 4z - 5 - 3x \ &= 2 + 4(6) - 5 - 3(2) \end{aligned} $$ ## Simplify the numerical expression $$ \begin{aligned} &= 2 + 24 - 5 - 6 \ &= 26 - 5 - 6 \ &= 21 - 6 \ &= 15 \end{aligned} $$

(A) 15

(B) 17

(C) 23

(D) 26

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Evaluating Expressions" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Evaluate the variable z

Substitute values into the expression

Simplify the numerical expression

Answer: