Algebra 1

Equations, Graphs, & Applications

What you'll learn

Learn about the basics of Algebra, starting with the definition of different sets of numbers to reviewing Pre-Algebra concepts.

Learn about the concept of variables and how to perform operations on them.

Learn how to solve equations including variables and expressing equations as lines on a 2-D Coordinate Graph.

Learn about the Slope of a Line and its relationship with Parallel & Perpendicular Lines

Learn about Linear Inequalities & their graphs.

Learn how to solve Systems of Linear Equations & Inequalities and find their solutions on a graph.

Learn how to solve real world Word Problems using Linear Equations & Inequalities.

Requirements

Basic Arithmetic & Pre-Algebra

Description

Welcome to the Algebra 1 series as part of the Charles Education Project. My name is Leo. This is the first in what I hope will be a great collection of educational videos covering a vast number of relevant subjects in the Academic sector.  This course is designed to help you build a strong foundation in algebra, covering essential topics such as operating on integers and fractions, exponent and radical expressions, equations, inequalities, graphing, and real-world applications. Whether you're new to algebra or looking to strengthen your skills, this class will guide you through each concept with clear explanations, examples, and plenty of practice opportunities.Throughout the course, you'll have access to resources after every lesson. These resources are available to help you review key concepts, practice problem-solving skills, and prepare for the final exam.At the end of the course, you'll take a final exam to demonstrate your understanding of the material covered. This exam will be an excellent opportunity to showcase your progress and reinforce what you've learned. Get ready to dive into algebra and gain the skills you'll use in math and beyond!Good luck, and I hope you make it to the end and through it all!

Overview

Section 1: Introduction

Lecture 1 Introduction

Section 2: Unit 1

Lecture 2 Lesson 1 - Number Sets

Lecture 3 Lesson 2 - Integers

Lecture 4 Lesson 3 - Fractions

Lecture 5 Lesson 4 - Exponents

Lecture 6 Algebra 1 - Lesson 5 - Radical Expressions

Lecture 7 Algebra 1 - Lesson 6 - Variables

Lecture 8 Algebra 1 - Lesson 7 - Laws of Exponents

Lecture 9 Algebra 1 - Lesson 8 - Laws of Radical Expressions

Lecture 10 Algebra 1 - Lesson 9 - Order of Operations

Section 3: Unit 2

Lecture 11 Algebra 1 - Lesson 10 - Solving Basic Equations

Lecture 12 Algebra 1 - Lesson 11 - Solving Equations with Roots & Radicals

Lecture 13 Algebra 1 - Lesson 12 - Solving Equations with Absolute Value

Lecture 14 Algebra 1 - Lesson 13 - Evaluating Algebraic Expressions

Lecture 15 Algebra 1 - Lesson 14 - Algebraic Word Problems

Section 4: Unit 03

Lecture 16 Algebra 1 - Lesson 15 - The Coordinate Plane

Lecture 17 Algebra 1 - Lesson 16 - Slope of a Line

Lecture 18 Algebra 1 - Lesson 17 - Slope-Intercept Form

Lecture 19 Algebra 1 - Lesson 18 - Point-Slope Form

Lecture 20 Algebra 1 - Lesson 19 - The Standard Form

Lecture 21 Algebra 1 - Lesson 20 - Slopes of Parallel & Perpendicular Lines

Section 5: Unit 04

Lecture 22 Algebra 1 - Lesson 21 - Linear Inequalities

Lecture 23 Algebra 1 - Lesson 22 - Combined Inequalities

Lecture 24 Algebra 1 - Lesson 23 - Absolute Value Inequalities

Lecture 25 Algebra 1 - Lesson 24 - Graphing Linear Inequalities

Section 6: Unit 05

Lecture 26 Algebra 1 - Lesson 25 - Solving Systems of Equations by Graphing

Lecture 27 Algebra 1 - Lesson 26 - Solving Systems of Equations by Substitution

Lecture 28 Algebra 1 - Lesson 27 - Solving Systems of Equations by Elimination

Lecture 29 Algebra 1 - Lesson 28 - Solving Word Problems with Systems of Equations

Lecture 30 Algebra 1 - Lesson 29 - Solving Systems of Linear Inequalities

Lecture 31 Algebra 1 - Lesson 30 - Solving Word Problems with Systems of Inequalities

Section 7: Final Exam

Students who are interested in getting a head start on Math topics they will cover entering High School or in some cases, entering as an Undergraduate.