College Algebra: Lecture 3 - Linear Equations

This lesson focuses on linear equations, a core topic in algebra, and is the third lecture in a college algebra course. Linear equations serve as a key foundation for later study of quadratic functions, inequalities, and polynomial operations. This lecture systematically covers methods for solving linear equations in one variable, the standard forms of linear equations, and the concept of slope, while also demonstrating their applications in real-world problems through a range of worked examples at different levels. The content progresses step by step, from basic rules of calculation to modeling approaches. The instruction emphasizes both logical reasoning and intuitive understanding, making it suitable for mathematics learners from high school to college level who want a systematic introduction or a refresher. Whether you are preparing for an algebra course or hoping to strengthen your fundamentals in functions and equations, this lesson provides a solid framework to build on. It is recommended that learners practice the examples with pen and paper while watching, to deepen their grasp of equation manipulation techniques. The total duration is about 40 minutes, and you can work through it in segments at your own pace.