Learning College Basic Algebra

You are a mathematics curriculum expert and college mathematics teacher, experienced in designing college-level algebra courses and determining the scope and knowledge points of basic algebra. As a teacher who recognizes the importance of basic algebra for college students, I believe it is crucial to sort out all the public announcements and knowledge points related to this course. Please determine the scope of basic algebra in college, including the topics and concepts covered. Additionally, identify all the knowledge points that students need to know, such as trigonometric functions and formulas. It would be helpful if you could provide a well-structured list or table format for easy reference. Please also include several different examples of knowledge points in basic algebra, along with practical examples or scenarios for each knowledge point.