# Linear & quadratic equations and inequalities 101

A Beginner's Course on Linear and Quadratic Equations and Inequalities

## What you will learn

### How to identify, write, and solve linear and quadratic equations.

### How to graph linear and quadratic equations and inequalities.

### Real-world applications of linear and quadratic equations and inequalities, including optimization problems.

### Problem-solving strategies for word problems involving linear and quadratic equations

### Review of mathematical concepts and tools needed to succeed in this course, including algebra, factoring, and the quadratic formula.

## Why take this course?

This course offers a comprehensive introduction to the fundamental concepts, techniques, and applications of linear and quadratic equations and inequalities. Whether you're a high school student preparing for college-level math, a college student pursuing a degree in a math-intensive field, or a working professional seeking to improve your math skills, this course will provide you with a solid foundation in algebraic problem-solving.

Through a series of lectures, exercises, and real-world examples, you will learn how to identify, write, and solve linear and quadratic equations and inequalities. You will also learn how to graph these equations and inequalities on a coordinate plane, and how to use these tools to model and solve real-world problems, such as optimizing costs, predicting growth, or designing experiments.

Throughout the course, you will also develop your problem-solving and critical thinking skills, as you work through a variety of example problems, including word problems and applications in science, engineering, finance, and other fields. You will learn how to approach complex problems systematically, and how to apply the appropriate tools and techniques to arrive at a solution.

Some specific topics covered in this course include:

Writing and solving linear equations, including systems of linear equations

Graphing linear equations and inequalities

Writing and solving quadratic equations, including factoring and the quadratic formula

Graphing quadratic equations and inequalities

Writing and solving linear and quadratic inequalities

Modeling and solving real-world problems using linear and quadratic equations and inequalities.

By the end of this course, you should have a solid understanding of linear and quadratic equations and inequalities, and be able to apply these skills to a wide range of mathematical and real-world problems. You will also be better prepared for more advanced math courses, and have a deeper appreciation for the beauty and power of mathematics.