Question

Identify the pair consisting of unlike terms from the following options.

• A. $6xyz$ and $-7yzx$
• B. $13xy$ and $7yx$
• C. $3y$ and $9z$
• D. $6x^2$ and $\frac{x^2}{2}$

Answer 1

The correct option is C $3y$ and $9z$

Unlike terms are terms which contain the different variables or same variables but raised to different power.

In $6xyz$ and $-7yzx$, both the terms contain the same variables $xyz$, raised to the same power. Hence they are like terms.

In $13xy$ and $7yx$, both the terms contain the same variables $xy$, raised to the same power. Hence they are like terms.

In $3y$ and $9z$, the terms contain different variables, that is $x$ and $z$. Hence they are unlike terms.

In $6x^2$ and $\frac{x^2}{2}$, both the terms contain the same variable $x^2$, raised to the same power. Hence they are like terms.