Types of algebraic expressions
 An algebraic expression is called a monomial, a binomial, a trinomial, a quadrinomial according as it contains one term, two terms, three terms and four terms respectively. 


Types of algebraic expressions. Monomials

A product of numbers, variables and their exponents is called a monomial.            

A monomial is in a standard form, if first there is a constant (numerical) factor, and then variable factors in alphabetical order. If there are several variable factors with the same base, you multiply them, thus you get one factor for each variable.

A monomial is in a standard form, if:
 •   every product of the same variables is written as one variable with an exponent
⋅ an=am+n;
• A constant factor (or the monomial coefficient) is written as the first term of a monomial.
The standard form of the monomial (6xy2(−2)x3y) is −12x4y3
A constant factor of a standard form of a monomial is called the monomial coefficient.
Monomials that have the like products of the variable terms, even if the terms' order is different, are called similar monomials.
If similar monomials have the like coefficients, then these monomials are called mutually equal monomials.
Similar monomials are the monomials that have the like products of the variable terms, even if the terms' order is different.

To add or subtract monomials, the following steps must be followed:
1) add or subtract monomial coefficients; 

2) do not change the variable factors.

When multiplying or dividing a monomial by a number, the coefficient of a given monomial is multiplied or divided, but the variable factors remain the same.

2) Divide the monomial 14b by 7 
(if 14 bananas are divided equally between 7 people, each person will have 2 bananas)

3) Divide the monomial c by 10  
(1 lemon divided by 10 is 1 tenth of a lemon)