In the meantime, you can find comprehensive solutions on major resource sites like GDZ.ru or Skysmart , which cover: Sections on pages 24, 42, 79, etc.

ГДЗ по Алгебре 8 класс Алимов, Колягин Решебник

Solutions for rational equations and algebraic fractions.

"Check Yourself" tasks for Chapter 1 (Real numbers), Chapter 2 (Power functions), and subsequent chapters.

To help you find the specific answers for the "Check Yourself" (Проверь себя) sections in algebra textbooks, please specify the grade level (e.g., 7th, 8th, 9th, or 10-11th) and the chapter or page number you are looking for.