# Algebra 1 Explained

## What you'll learn

- You will be a master of Algebra 1 and be fully ready for Geometry, Trigonometry, and Algebra 2
- Solve Linear Equations in one Variable
- Solve and graph Linear Inequalities in one Variable
- Graph a Linear Equation in two Variables
- Write Linear Equations in two Variables in Standard Form, and Slope-Intercept Form
- Determine if a Relation represents a Function
- Solve Systems of Linear Equations using Graphing, Substitution, and Elimination
- Perform operations with exponents (rules of exponents)
- Operations with Polynomials: add, subtract, multiply, divide, and factor polynomials
- Operations with Rational Expressions: simplify, add, subtract, multiply, divide and find the restricted values
- You will learn how to solve Rational Equations
- Operations with Radicals: simplify, add, subtract, multiply, and divide radical expressions
- Solve Radical Equations
- Solve Quadratic Equations using Factoring, Completing the Square, and the Quadratic Formula

## Requirements

- Basic Math (addition, subtraction, multiplication, and division)
- Pre-Algebra

## Description

Become a Master of **Algebra 1** and** Ace** your next **Exam**! In this course, you will master the concepts of **Algebra 1** with our **step-by-step** tutorials, written lessons, practice sets, practice tests, and quizzes. **ALL PRACTICE PROBLEMS AND QUIZ PROBLEMS ARE FULLY SOLVED WITH OPTIONAL STEP-BY-STEP SOLUTION VIDEOS.**

The concepts you will learn are fundamental to success in higher math classes such as Algebra 2, Geometry, Trigonometry, and Calculus. Our course will begin with variables & expressions, and then continue with solving linear equations, solving linear inequalities, graphing linear equations in two variables, functions, rules of exponents, scientific notation, operations with polynomials, factoring, rational expressions, radicals, and lastly solving quadratic equations. The topics of our course include:

#1: Variables & Expressions

#2: Equation Definition

#3: Addition Property of Equality

#4: Multiplication Property of Equality

#5: Multi-Step Linear Equations

#6: Equations with Fractions/Decimals

#7: Special Case Equations

#8: Applications of Linear Equations 1

#9: Applications of Linear Equations 2

#10: Proportions

#11: Solving Linear Inequalities 1

#12: Solving Linear Inequalities 2

#13: Linear Equations in two Variables

#14: Plotting Ordered Pairs

#15: Graphing Linear Equations

#16: Slope Formula

#17: Equations of a Line

#18: Parallel & Perpendicular Lines

#19: Graphing Inequalities

#20: Introduction to Functions

#21: Solving Linear Systems by Graphing

#22: Solving Linear Systems by Substitution

#23: Solving Linear Systems by Elimination

#24: Applications of Linear Systems

#25: Systems of Linear Inequalities

#26: Exponents: Product & Power Rules

#27: Negative Exponents & the Quotient Rule

#28: Scientific Notation

#29: Adding & Subtracting Polynomials

#30: Multiplying Polynomials

#31: FOIL

#32: Special Polynomial Products

#33: Dividing Polynomials by Monomials

#34: Dividing Polynomials

#35: Dividing Polynomials with Missing Terms

#36: GCF of a Monomial

#37: Factoring out the GCF

#38: Factoring by Grouping

#39: Factoring Trinomials: a = 1

#40: Factoring Trinomials: a ≠ 1

#41: Special Factoring

#42: Solving Quadratic Equations by Factoring

#43: Rational Expression Definition

#44: Multiplying Rational Expressions

#45: LCD of Rational Expressions

#46: Adding Rational Expressions

#47: Complex Rational Expressions

#48: Solving Rational Equations

#49: Applications of Rational Expressions

#50: Direct Variation

#51: Inverse Variation

#52: Square Roots

#53: The Distance Formula

#54: Simplifying Radicals

#55: Adding Radicals

#56: Rationalizing the Denominator

#57: Further Operations with Radicals

#58: Solving Radical Equations

#59: Fractional Exponents

#60: Square Root Property

#61: Completing the Square

#62: The Quadratic Formula

## Who this course is for:

- Anyone who wants to Master Algebra 1 and get ready for Algebra 2, Geometry, and college level math
- Homeschool students who want extra help with Algebra
- Students who need an Algebra refresher

## Instructor

John Greene earned a bachelor's degree in Mathematics and a master's degree in Economics. Throughout his career, he has helped thousands of students ace their math and economics courses. Additionally, John has helped students learn advanced programming concepts and break into the field of web development. John has a passion for teaching and helping students achieve their goals.