The Ultimate Algebra 2 Guide: Radicals to Logarithms

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

Created byTarek Nafea

Last updated 7/2025

English

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.

Course content

2 sections • 56 lectures • 78h 43m total length

An Introduction, Staying Organized, and Course Content55:58

Class 2： Review and Expanding on Various Topics1:37:55
Class 3： Solving Systems of Three Equations1:27:51
Class 4： Absolute Value Equations and Inequalities1:47:33
Class 5： Roots (Part I)1:25:43
Class 6： Roots (Part II)1:25:57
Class 7： Roots (Part III)1:27:48
Class 8： Roots (Part IV)1:45:38
Class 9： Solving Quadratic Equations by Completing the Square (Part I)1:23:30
Class 10： Solving Quadratic Equations by Completing the Square(Part II)1:26:14
Class 11： Solving Quadratic Equations with the Quadratic Formula1:35:20
Class 12： Review for Test I1:57:08
Class 13： Test I8:52
Class 14： Graphing Quadratic Expressions1:36:21
Class 15： Graphing Quadratic Expressions (Part II)1:31:26
Class 16： Graphing Quadratic Expressions (Part III)1:36:59
Class 17： Graphing Quadratic Expressions (Part IV)1:26:53
Class 18： Graphing Quadratic Expressions (Part V)1:22:19
Class 19： Graphing Quadratic Expressions (Part VI)1:45:17
Class 20： Graphing Quadratic Expressions (Part VII)1:32:13
Class 21： Finding Quadratic Equations and Counting X-Intercepts1:21:52
Class 22： Converting between the Three Forms of a Quadratic Expression1:25:04
Class 23： Review for Test II2:07:34
Class 24： Test II9:27
Class 25： The Exponent Rules (Part I)1:29:03
Class 26： The Exponent Rules (Part II)1:40:25
Class 27： The Exponent Rules (Part III)1:33:04
Class 28： The Exponent Rules (Part IV)1:31:29
Class 29： Exponential Equations and an Introduction to Logarithms1:33:34
Class 30： Exponential Equations and an Intro to Logarithms (Part II)1:37:37
Class 31： Exponential Equations and Logarithmic Equations1:26:25
Class 32： More Logarithmic Equations and Properties of Logarithms1:30:07
Class 33： More Complicated Logarithmic Equations1:32:03
Class 34： More Complicated Logarithmic Equations (Part II)1:26:10
Class 35： More Complicated Logarithmic Equations (Part III)1:21:27
Class 36： Review for Test III1:18:05
Class 37： Test III7:33
Class 39： Transformations and the Library of Relations (Part II)1:40:52
Class 38： Transformations and the Library of Relations1:45:21
Class 40： Transformations and the Library of Relations (Part III)1:40:19
Class 41： Transformations and the Library of Relations (Part IV)1:32:21
Class 42： Transformations and the Library of Relations (Part V)1:33:58
Class 43： Transformations and the Library of Relations (Part VI)1:43:41
Class 44： Functions and Function Notation1:32:29
Class 45： Functions and Function Notation (Part II)1:32:29
Class 46： Functions and Function Notation (Part III)1:39:52
Class 47： Functions and Function Notation (Part IV)1:41:49
Class 48： Functions and Function Notation (Part V)1:38:42
Class 49： Applications of Algebra (Part I)1:17:24
Class 50： Applications of Algebra (Part II)1:43:18
Class 51： Applications of Algebra (Part III)1:32:59
Class 52： Review for Test IV1:19:26
Class 53： Test IV8:20
Class 54： Review for the Final Test1:56:02
Class 55： The Final Test8:28
Class 56： Calculating Your Course Grade7:19

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 & Expressions

Solving systems of equations
Absolute value equations
Radicals and complex numbers
Completing the square
The quadratic formula

Graphing & Functions

Graphing parabolas
Standard form vs. vertex form
Slope-intercept form
Discriminant and what it reveals
Function notation and transformations
Domain, range, and composite functions
Piecewise functions
Library of relations

Exponents & Logarithms

Exponent rules made simple
Solving exponential equations
Introduction to logarithms
The constant e and natural logarithms

Applications

Compound interest
Real-world applications of algebra
Strategy tips for exams

Who is this course for?

High school and early college students
Anyone preparing for standardized tests (SAT, ACT, etc.)
Self-learners building math confidence
Adults brushing up on algebra for career or education goals

Features:

Easy-to-follow video lessons
Real examples and visuals
Covers both theory and application
Linked YouTube playlist for on-the-go review
Lifetime access and certificate of completion

Start mastering algebra today and gain the skills you need for success in math and beyond!

Who this course is for:

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.

The Ultimate Algebra 2 Guide: Radicals to Logarithms

What you'll learn

Explore related topics

Course content

Introduction1 lecture • 56min

Algebra 255 lectures • 77hr 47min

Requirements

Description

Who this course is for: