andre wrote the expression $-2 + 5x \div 2$ to represent the relationship shown in the table. find two other expressions that also represent the relationship shown in the table.

select all that apply.

a. $5x \div 2 + (-2)$
b. $\frac{5x - 2}{2}$
c. $2 \div (-5x + 2)$
d. $(-2 + 5) \div x - 2$
e. $2 \div (-2) + 5x$
f. $\frac{5}{2}x - 2$

Question

andre wrote the expression $-2 + 5x \div 2$ to represent the relationship shown in the table. find two other expressions that also represent the relationship shown in the table.

select all that apply.

a. $5x \div 2 + (-2)$
b. $\frac{5x - 2}{2}$
c. $2 \div (-5x + 2)$
d. $(-2 + 5) \div x - 2$
e. $2 \div (-2) + 5x$
f. $\frac{5}{2}x - 2$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Equivalent Expressions" ], "new_concepts": [], "current_concepts": [ "Equivalent Expressions", "Algebraic Expressions" ] } ## Identify the target expression $$ -2 + 5x \div 2 = \frac{5}{2}x - 2 $$ ## Evaluate the given options $$ \begin{aligned} &\text{A. } 5x \div 2 + (-2) = \frac{5}{2}x - 2 \quad (\text{Equivalent})\ &\text{B. } \frac{5x - 2}{2} = \frac{5}{2}x - 1 \quad (\text{Not equivalent})\ &\text{C. } 2 \div (-5x + 2) = \frac{2}{-5x + 2} \quad (\text{Not equivalent})\ &\text{D. } (-2 + 5) \cdot x \div 2 = \frac{3}{2}x \quad (\text{Not equivalent})\ &\text{E. } 2 \div (-2) + 5x = 5x - 1 \quad (\text{Not equivalent})\ &\text{F. } \frac{5}{2}x - 2 \quad (\text{Equivalent}) \end{aligned} $$

(A) $5x \div 2 + (-2)$

(B) $\frac{5x-2}{2}$

(C) $2 \div (-5x + 2)$

(D) $(-2 + 5) \cdot x \div 2$

(E) $2 \div (-2) + 5x$

(F) $\frac{5}{2}x - 2$

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

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QUESTION IMAGE

Question

Explanation:

Identify the target expression

Evaluate the given options

Answer: