identify the like terms in the algebraic expression.

\\frac{2x}{5} - 5.2y + 2.2 + \frac{x}{3}\

$\bigcirc$ $\frac{2x}{5}$ and $-5.2y$

$\bigcirc$ $\frac{2x}{5}$ and $\frac{x}{3}$

$\bigcirc$ $5.2y + 2.2$

$\bigcirc$ $2.2 + \frac{x}{3}$

Question

identify the like terms in the algebraic expression.

\\frac{2x}{5} - 5.2y + 2.2 + \frac{x}{3}\

$\bigcirc$ $\frac{2x}{5}$ and $-5.2y$

$\bigcirc$ $\frac{2x}{5}$ and $\frac{x}{3}$

$\bigcirc$ $5.2y + 2.2$

$\bigcirc$ $2.2 + \frac{x}{3}$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Like Terms", "Algebraic Expressions" ], "new_concepts": [], "current_concepts": [ "Like Terms", "Algebraic Expressions" ] } ## Identify terms with identical variable parts $$ \begin{aligned} &\text{Expression: } \frac{2x}{5} - 5.2y + 2.2 + \frac{x}{3}\ &\text{Term 1: } \frac{2x}{5} \quad (\text{variable part: } x)\ & \text{Term 2: } -5.2y \quad (\text{variable part: } y)\ & \text{Term 3: } 2.2 \quad (\text{constant})\ & \text{Term 4: } \frac{x}{3} \quad (\text{variable part: } x) \end{aligned} $$ ## Match terms with the same variable $$ \frac{2x}{5} \text{ and } \frac{x}{3} $$

(A) $\frac{2x}{5}$ and $-5.2y$

(B) $\frac{2x}{5}$ and $\frac{x}{3}$

(C) $5.2y + 2.2$

(D) $2.2 + \frac{x}{3}$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Like Terms" ] }

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Explanation:

Identify terms with identical variable parts

Match terms with the same variable

Answer: