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This academic year, you will continue to study algebra. We hope that you have already fallen in love with this important and beautiful science, and therefore will be eager to learn new knowledge. We hope that the textbook you are holding in your hands will help you to do so. Please take a look at its structure. The textbook is divided into three chapters, each of which consists of paragraphs. The paragraphs contain theoretical material. The most important information is in bold and italics. Usually, the presentation of theoretical material ends with examples of problem solving. These entries can be considered as one of the possible samples of the solution. For each item, there are tasks for independent solving, which you are advised to start only after you have mastered the theoretical material. The tasks include both simple and medium difficulty exercises and difficult tasks (especially those marked with an asterisk (*)). You can check your knowledge by solving the problems in the test form from the "Test Yourself" section. Each chapter ends with the section "Learning to do things outside the box". This section includes problems that do not require special algebraic knowledge, but only common sense, ingenuity and wit. These problems are as useful as vitamins. They will help you learn how to make unexpected and non-standard decisions not only in mathematics but also in life. If you have free time after completing your homework and want to learn more, we recommend that you visit the "When the lessons are done" section. The material presented there is not easy. But it is all the more interesting to try your hand at it! Go for it! We wish you success!