Algebra 1 Mastered

Master everything in (college) Algebra 1 and test what you learn with over 800+ quizzes and practice problems

What you'll learn
Sets, subsets, set builder notation, and different types of set operations.
Different properties and operations with Real Numbers.
Numerical and Algebraic expressions and evaluating Algebraic expressions.
Translating sentences from English to Algebra.
Solve first-degree equations, including fractional and decimal forms of equations.
Formulas, inequalities, including equations with absolute value.
Factoring methods including factoring by grouping, difference of two squares, and sum and difference of two cubes.
Sum, difference, product, and quotients of monomials and polynomials.
Simplify, add, subtract, multiply, and divide Rational Expressions.
Solving equations involving radicals and extraneous solutions.
Properties and usage of roots including adding, subtracting, multiplying, and dividing radicals.
Complex Numbers including adding, subtracting, multiplying, and dividing complex numbers.
Solving quadratic equations using the quadratic formula.
Quadratic and other Nonlinear Inequalities
Requirements
Have a fair background in Pre-Algebra.
Know the basic Mathematical operations like addition, subtraction, multiplication, and division.
Description
WHAT IS THIS COURSE ABOUT?Algebra is one of the most fundamental and important branches of mathematics and it is one of the few major domains that students study from preschool all the way through college. Without algebra, we wouldn’t have an easy way to figure out the area of a shape. Algebra deals with letters, numbers, and rules that govern each in a formula. The skills you will learn in this Algebra 1 course will help you develop a solid Mathematical foundation for later subjects like Algebra 2, geometry, calculus, trigonometry, statistics, combinatorics, or other disciplines like Computer Science, Physics, Engineering, or Chemistry.Algebra 1 gives students the ability to understand equations and how to use them, and based on that, the course goes in-depth and is divided into the following sections:Basic Concepts in Algebra 1Equations and InequalitiesPolynomialsRational ExpressionsExponents and RadicalsQuadratics Equations and InequalitiesYOU WILL ALSO GET:Lifetime AccessQ&A section with supportCertificate of completionMore than 800+ practice problems and quiz questions. HOW IS IT DELIVERED?I know visually seeing a problem getting solved is the easiest and the most direct way for a student to learn so I designed the course keeping this in mind. Algebraic ideas are developed in a logical sequence and in an easy-to-understand manner. The concepts are developed through examples, reinforced through additional examples, and practice problems. The materials are delivered through videos to make complex subjects easy to comprehend. More details on certain lessons are delivered through text files to provide more explanations or examples. The course is taught in plain English, away from cloudy, complicated mathematical jargon, to help you learn the material rather than getting stuck on fancy Mathematical words.HOW DO I LEARN BETTER?There are quizzes after each lecture so you can test your knowledge and see how much of the material has sunk in. Also, there are practice problems attached to most of the lectures to aid you in further mastering the topics taught. I suggest you go through each lesson several times to better understand the topics.

Overview

Section 1: Start Here

Lecture 1 Course Structure

Lecture 2 Formula Sheet

Section 2: Basic Concepts

Lecture 3 Intro

Lecture 4 Definition of a Set

Lecture 5 Subsets

Lecture 6 Set-Builder Notation

Lecture 7 Union and Intersection

Lecture 8 Real Numbers

Lecture 9 Real Number Line

Lecture 10 Equality

Lecture 11 Numerical Expressions

Lecture 12 Absolute Value

Lecture 13 Operations with Real Numbers

Lecture 14 Properties of Real Numbers

Lecture 15 More Properties of Real Numbers

Lecture 16 Other Properties of Real Numbers

Lecture 17 Algebraic Expressions

Lecture 18 Evaluating Algebraic Expressions

Lecture 19 From English to Algebra

Lecture 20 Summary

Section 3: Equations and Inequalities

Lecture 21 Intro

Lecture 22 Solving First-Degree Equations

Lecture 23 Examples

Lecture 24 Use of Equations

Lecture 25 Algebraic Equations and Fractions

Lecture 26 Algebraic Equations and Decimals

Lecture 27 Algebraic Inequalities

Lecture 28 Inequalities with Fractions and Decimals

Lecture 29 Compound Inequalities

Lecture 30 Equations Involving Absolute Value

Lecture 31 Inequalities Involving Absolute Value

Lecture 32 Summary

Section 4: Polynomials

Lecture 33 Intro

Lecture 34 Monomials

Lecture 35 Sum and Difference of Monomials

Lecture 36 Products and Quotients of Monomials

Lecture 37 Multiplying Polynomials I

Lecture 38 Multiplying Polynomials II

Lecture 39 Factoring

Lecture 40 More on Factoring

Lecture 41 Factoring by Grouping

Lecture 42 Difference of Two Squares

Lecture 43 Sum and Difference of Two Cubes

Lecture 44 Factoring Trinomials

Lecture 45 More on Factoring Trinomials

Lecture 46 Factoring and Equations

Lecture 47 More on Factoring and Equations

Lecture 48 Trinomials and Equations

Lecture 49 Summary

Section 5: Rational Expressions

Lecture 50 Intro

Lecture 51 Properties

Lecture 52 Simplifying Rational Expressions

Lecture 53 Multiplying and Dividing Rational Expressions

Lecture 54 Adding and Subtracting Rational Expressions

Lecture 55 Complex Fractions

Lecture 56 Dividing Polynomials

Lecture 57 Fractional Equations

Lecture 58 More on Fractional Equations

Lecture 59 Ratios and Proportions

Lecture 60 Summary

Section 6: Exponents and Radicals

Lecture 61 Intro

Lecture 62 Using Integers as Exponents

Lecture 63 Some Properties

Lecture 64 Roots and Radicals

Lecture 65 nth Roots

Lecture 66 Root Properties

Lecture 67 Simplest Radical Form

Lecture 68 Adding and Subtracting Radicals

Lecture 69 Radicals and Variables

Lecture 70 Products Involving Radicals

Lecture 71 Quotients Involving Radicals

Lecture 72 Equations Involving Radicals

Lecture 73 Merging Exponents and Roots

Lecture 74 Application of Radicals

Lecture 75 Scientific Notation

Lecture 76 Examples

Lecture 77 Summary

Section 7: Quadratic Equations and Inequalities

Lecture 78 Intro

Lecture 79 Complex Numbers

Lecture 80 Adding and Subtracting Complex Numbers

Lecture 81 Important Notes on Products

Lecture 82 Products and Quotients of Complex Numbers

Lecture 83 Quadratic Equations

Lecture 84 Perfect Square Trinomials

Lecture 85 Completing the Square

Lecture 86 Quadratic Formula

Lecture 87 Nature of Roots

Lecture 88 Quadratic Inequalities

Lecture 89 Summary

Section 8: Wrap Up

Lecture 90 End & Bonus

Students currently studying Algebra 1 or College Algebra 1.,Students who finished Pre-Algebra and want to get a head start into Algebra 1.,Home school students studying Algebra 1.,Anyone interested in mastering Algebra 1 in a simple, straight-forward way.