1. Who this lesson is for
This lesson will be useful for students preparing for the NMT in Mathematics who want to better understand the basics of algebra.
The material is suitable for those who want to learn how to work with algebraic expressions, perform operations with monomials and polynomials, and confidently solve typical test-format tasks.

2. What this lesson is about
This lesson is devoted to the topic «Monomials, Polynomials, and Operations with Them».
During the lesson, the concepts of a monomial and a polynomial, their structure, and the rules for performing basic algebraic operations are examined.
Students will learn how to add, subtract, and multiply polynomials, as well as how to correctly simplify algebraic expressions.

3. Lesson lecturer
Petro Pasikhov is an Honored Teacher of Ukraine.
He has 36 years of teaching experience and has prepared more than 1,300 students, including 30 prize-winners of olympiads.
His students have become winners of international mathematics competitions.
He has been awarded the honors «Excellent Educator of Ukraine» and «Vasyl Sukhomlynskyi».
He teaches students to think mathematically: they understand the logic of problems instead of simply applying formulas.
He explains complex topics in a simple way and helps students overcome their fear of the exam.

4. What skills the learner will gain
After the lesson, learners will be able to distinguish between monomials and polynomials, perform the basic operations with them, simplify algebraic expressions, and complete NMT algebra tasks more confidently.