Directions: Write Monomial if the given expression is a monomial. Write Not a Monomial if it is not. 1. 7x² 2. (3x)/y 3. -5a³b² 4. 4x + 2 5. (1/2)m²n

A monomial is a type of algebraic expression that consists of only one term. This term can be a constant, a variable, or a product of constants and variables with non-negative integer exponents. Here are the explanations for each given expression:

7x²:

This is a monomial because it is a single term consisting of a constant (7) and a variable (x) raised to a whole number exponent (²).


(3x)/y:

This is not a monomial. Although it consists of algebraic terms, it involves division by a variable, which is not allowed in a monomial.


-5a³b²:

This is a monomial because it is a single term composed of a constant (-5) and variables (a and b) each raised to whole number exponents (³ and ², respectively).


4x + 2:

This is not a monomial. It is a binomial because it has two terms (4x and 2) added together.


(1/2)m²n:

This is a monomial because it is a single term composed of a constant (1/2, which is a rational number) and variables (m and n) raised to non-negative integer exponents (² and ¹, respectively).



In summary:

Monomial
Not a Monomial
Monomial
Not a Monomial
Monomial

Answered by RyanHarmon181 | 2025-07-21