The Ultimate Algebra 2 Guide: Radicals To Logarithms

Everything You Need to Know in Algebra – From Basic Skills to Advanced Problem Solving

What you'll learn

Solve linear, quadratic, absolute value, and exponential equations with confidence using proven Algebra 2 techniques.

Master graphing functions and transformations, including parabolas, piecewise functions, and exponential/logarithmic graphs.

Understand and apply advanced concepts like radicals, complex numbers, completing the square, and the quadratic formula.

Use function notation, domain, range, and composite functions to analyze and model real-world mathematical scenarios.

Apply Algebra 2 to real-life problems including compound interest, exponential growth/decay, and interpreting graphs.

Prepare for standardized tests like the SAT, ACT, or college placement exams with strong Algebra 2 foundations.

Gain confidence with exponent rules and logarithmic equations, including solving and rewriting using base e.

Requirements

Basic understanding of Algebra 1 concepts such as solving simple equations, order of operations, and working with variables.

Familiarity with graphing on the coordinate plane is helpful but not required — we'll review what you need.

A calculator (scientific or graphing) is recommended for solving complex problems, though not strictly necessary.

A positive attitude and willingness to learn — this course is designed to build your skills step-by-step!

No advanced math experience required — this course is perfect for high school students, homeschoolers, adult learners, or anyone looking to strengthen their Algebra 2 skills.

Description

Unlock the full power of algebra with this comprehensive, beginner-to-advanced course designed to help you master essential and complex topics alike. Whether you're a high school student, college learner, or adult looking to refresh your skills, this course provides clear explanations, visual examples, and practical problem-solving strategies.Throughout this engaging series, you'll explore: Equations & ExpressionsSolving systems of equationsAbsolute value equationsRadicals and complex numbersCompleting the squareThe quadratic formula Graphing & FunctionsGraphing parabolasStandard form vs. vertex formSlope-intercept formDiscriminant and what it revealsFunction notation and transformationsDomain, range, and composite functionsPiecewise functionsLibrary of relations Exponents & LogarithmsExponent rules made simpleSolving exponential equationsIntroduction to logarithmsThe constant e and natural logarithms ApplicationsCompound interestReal-world applications of algebraStrategy tips for exams Who is this course for?High school and early college studentsAnyone preparing for standardized tests (SAT, ACT, etc.)Self-learners building math confidenceAdults brushing up on algebra for career or education goals Features:Easy-to-follow video lessonsReal examples and visualsCovers both theory and applicationLinked YouTube playlist for on-the-go reviewLifetime access and certificate of completionStart mastering algebra today and gain the skills you need for success in math and beyond!

Overview

Section 1: Introduction

Lecture 1 An Introduction, Staying Organized, and Course Content

Section 2: Algebra 2

Lecture 2 Class 2： Review and Expanding on Various Topics

Lecture 3 Class 3： Solving Systems of Three Equations

Lecture 4 Class 4： Absolute Value Equations and Inequalities

Lecture 5 Class 5： Roots (Part I)

Lecture 6 Class 6： Roots (Part II)

Lecture 7 Class 7： Roots (Part III)

Lecture 8 Class 8： Roots (Part IV)

Lecture 9 Class 9： Solving Quadratic Equations by Completing the Square (Part I)

Lecture 10 Class 10： Solving Quadratic Equations by Completing the Square(Part II)

Lecture 11 Class 11： Solving Quadratic Equations with the Quadratic Formula

Lecture 12 Class 12： Review for Test I

Lecture 13 Class 13： Test I

Lecture 14 Class 14： Graphing Quadratic Expressions

Lecture 15 Class 15： Graphing Quadratic Expressions (Part II)

Lecture 16 Class 16： Graphing Quadratic Expressions (Part III)

Lecture 17 Class 17： Graphing Quadratic Expressions (Part IV)

Lecture 18 Class 18： Graphing Quadratic Expressions (Part V)

Lecture 19 Class 19： Graphing Quadratic Expressions (Part VI)

Lecture 20 Class 20： Graphing Quadratic Expressions (Part VII)

Lecture 21 Class 21： Finding Quadratic Equations and Counting X-Intercepts

Lecture 22 Class 22： Converting between the Three Forms of a Quadratic Expression

Lecture 23 Class 23： Review for Test II

Lecture 24 Class 24： Test II

Lecture 25 Class 25： The Exponent Rules (Part I)

Lecture 26 Class 26： The Exponent Rules (Part II)

Lecture 27 Class 27： The Exponent Rules (Part III)

Lecture 28 Class 28： The Exponent Rules (Part IV)

Lecture 29 Class 29： Exponential Equations and an Introduction to Logarithms

Lecture 30 Class 30： Exponential Equations and an Intro to Logarithms (Part II)

Lecture 31 Class 31： Exponential Equations and Logarithmic Equations

Lecture 32 Class 32： More Logarithmic Equations and Properties of Logarithms

Lecture 33 Class 33： More Complicated Logarithmic Equations

Lecture 34 Class 34： More Complicated Logarithmic Equations (Part II)

Lecture 35 Class 35： More Complicated Logarithmic Equations (Part III)

Lecture 36 Class 36： Review for Test III

Lecture 37 Class 37： Test III

Lecture 38 Class 39： Transformations and the Library of Relations (Part II)

Lecture 39 Class 38： Transformations and the Library of Relations

Lecture 40 Class 40： Transformations and the Library of Relations (Part III)

Lecture 41 Class 41： Transformations and the Library of Relations (Part IV)

Lecture 42 Class 42： Transformations and the Library of Relations (Part V)

Lecture 43 Class 43： Transformations and the Library of Relations (Part VI)

Lecture 44 Class 44： Functions and Function Notation

Lecture 45 Class 45： Functions and Function Notation (Part II)

Lecture 46 Class 46： Functions and Function Notation (Part III)

Lecture 47 Class 47： Functions and Function Notation (Part IV)

Lecture 48 Class 48： Functions and Function Notation (Part V)

Lecture 49 Class 49： Applications of Algebra (Part I)

Lecture 50 Class 50： Applications of Algebra (Part II)

Lecture 51 Class 51： Applications of Algebra (Part III)

Lecture 52 Class 52： Review for Test IV

Lecture 53 Class 53： Test IV

Lecture 54 Class 54： Review for the Final Test

Lecture 55 Class 55： The Final Test

Lecture 56 Class 56： Calculating Your Course Grade

High school students currently taking Algebra 2 who want clear explanations and extra support to improve their grades.,Homeschool students and parents looking for a complete, easy-to-follow Algebra 2 curriculum aligned with academic standards.,College students and adult learners who need a refresher in Algebra 2 concepts for placement tests or future coursework.,SAT, ACT, and GED test takers who want to master Algebra 2 topics commonly found on standardized exams.,Anyone interested in strengthening their math foundation for careers in STEM, data science, engineering, or programming.