Question

identify the like terms in the algebraic expression.\\(\frac{2x}{5}-5.2y + 2.2+\frac{x}{3}\\)\\(circ \frac{2x}{5}\\) and \\(-5.2y\\)\\(circ \frac{2x}{5}\\) and \\(\frac{x}{3}\\)\\(circ 5.2y + 2.2\\)\\(circ 2.2+\frac{x}{3}\\)

Explanation:

Step1: Recall like terms definition

Like terms have same variable (or no variable) with same power.

Step2: Analyze each option

• Option 1: $\frac{2x}{5}$ has variable $x$, $-5.2y$ has variable $y$ → Not like terms.
• Option 2: $\frac{2x}{5}$ and $\frac{x}{3}$ both have variable $x$ (power 1) → Like terms.
• Option 3: $5.2y$ has $y$, $2.2$ has no variable → Not like terms (and it's a sum, not terms).
• Option 4: $2.2$ (no variable) and $\frac{x}{3}$ (variable $x$) → Not like terms.

Answer:

$\boldsymbol{\frac{2x}{5}}$ and $\boldsymbol{\frac{x}{3}}$ (the second option)