Linear & Quadratic Equations And Inequalities 101

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

What you'll 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.

Requirements

Basic knowledge of algebra, including solving equations, working with variables and expressions, and graphing linear equations

Familiarity with the properties of real numbers, such as addition, subtraction, multiplication, and division

Understanding of exponents and radicals

Knowledge of the Cartesian coordinate system and graphing points on a plane.

Description

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 equationsGraphing linear equations and inequalitiesWriting and solving quadratic equations, including factoring and the quadratic formulaGraphing quadratic equations and inequalitiesWriting and solving linear and quadratic inequalitiesModeling 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.

Overview

Section 1: Introduction to Linear Equations

Lecture 1 What is a linear equation?

Lecture 2 How to solve linear equations?

Lecture 3 Graphing linear equations

Lecture 4 Applications of linear equations

Section 2: Introduction to Quadratic Equations

Lecture 5 How to solve quadratic equations?

Lecture 6 Graphing quadratic equations

Lecture 7 Practical examples of graphing quadratic equations

Lecture 8 Applications of quadratic equations

Section 3: Inequalities

Lecture 9 Introduction to inequalities

Lecture 10 Solving linear inequalities

Lecture 11 Solving quadratic inequalities

Lecture 12 Graphing inequalities

Section 4: Applications

Lecture 13 Word problems involving linear and quadratic equations

Lecture 14 Practice problems and exercises

High school students who are studying algebra, geometry, or precalculus, and want to deepen their understanding of linear and quadratic equations and inequalities.,College students who are pursuing degrees in fields that require a strong mathematical foundation, such as engineering, physics, computer science, and mathematics.,Working professionals who need to apply mathematical concepts to their job, such as business analysts, finance professionals, or engineers.,Anyone who wants to improve their mathematical skills and problem-solving abilities, and develop a deeper appreciation for the beauty and power of mathematics.