Question

1. select all the pairs of like terms in the expression $\frac{2}{5}y + \frac{1}{5}x - 0.2y - 6 + (-2)$.$square$ $\frac{2}{5}y$ and $\frac{1}{5}xLXB0square$ $-6$ and $-2$$square$ $\frac{1}{5}x$ and $-0.2y$

Explanation:

Step1: Define like terms

Like terms have identical variables (or no variables, i.e., constants) with the same exponents.

Step2: Analyze each option

• $\frac{2}{5}y$ has variable $y$, $\frac{1}{5}x$ has variable $x$: Not like terms.
• $\frac{2}{5}y$ and $-0.2y$: $-0.2 = -\frac{1}{5}$, both have variable $y$: Like terms.
• $\frac{1}{5}x$ has variable $x$, $-0.2y$ has variable $y$: Not like terms.
• $-0.2y$ has variable $y$, $2$ is a constant: Not like terms.
• $-6$ and $-2$ are both constants: Like terms.

Answer:

$\boldsymbol{\frac{2}{5}y \text{ and } -0.2y}$, $\boldsymbol{-6 \text{ and } -2}$