Algebraic expressions include monomials and polynomials, which are collectively called algebraic expressions.

First of all, the monomial

Definition: An algebraic expression composed of the product of numbers and letters is called a monomial, and a single number or letter is also called a monomial.

Features: single number or letter, such as 0, 1, x, abc.

Representation: Use the product of numbers and letters, such as 5a and 3b.

Degree: the degree of a single item refers to the exponential sum of all letter factors in a single item, for example, the degree of 2x^3 is 3.

Second, the polynomial:

Definition: The sum of several monomials is called a polynomial. Each monomial in a polynomial is called a polynomial term, and the highest degree of these monomials is the degree of this polynomial.

Features: Polynomial consists of the sum of several monomials, and each monomial is a part of polynomial.

Representation: expressed by the sum of multiple monomials, and each monomial in the polynomial is connected by a plus sign, such as 2x+3y.

Degree: the degree of polynomial refers to the degree of the single item with the highest degree in polynomial. For example, the multiple of 2x 3+3x 2+4x+5 is 3.

Methods of learning algebraic expressions:

First, understand the concept.

First of all, we need to deeply understand the concept of algebraic expressions, including the definitions, characteristics, representation methods and degrees of monomials and polynomials. You can study and think repeatedly through textbooks, notes, examples and other angles to ensure a clear understanding of the concept of algebra.

Second, master the basic operating rules

The basic operation rules of algebraic expressions include merging similar terms, removing brackets and adding brackets. You need to master these basic rules and be able to use them skillfully. By doing more exercises, you can gradually master the operation skills and methods of algebraic expressions.

Third, cultivate algebraic thinking.

Learning algebraic expressions is a process of cultivating algebraic thinking. We need to learn to look at problems from the perspective of algebra and gradually cultivate algebraic thinking. This can be trained by transformation, simplification and proof of algebraic expressions. At the same time, we need to pay attention to cultivating logical reasoning ability and learn to express and prove problems in standardized mathematical language.