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Introduction to Algebra B

Name: Introduction to Algebra B
Price: 485 USD

Summary

Part of our introductory math series, Introduction to Algebra B builds on the foundations of Algebra A and extends into more complex topics beyond the standard school curriculum. Fundamental concepts of algebra, including quadratics, systems of equations, clever factorizations, complex numbers, functions, graphing, sequences and series, and special functions, are covered in this course.

This advanced math course is offered in two formats: a live online course or a self-paced course. Both formats include instructor feedback and a class message board for student support.

Diagnostics: Are You Ready? Do You Need This Course?

Required Text: Introduction to Algebra

Weekly Live Online Class Self-Paced Online Class

Introduction to Algebra B: 16 Weeks

Our live Introduction to Algebra B course brings together advanced problem solvers from around the world for 90-minute classes. Experienced instructors lead students to creatively problem-solve with quadratics, systems of equations, clever factorizations, complex numbers, functions, graphing, sequences and series, special functions, exponents and logarithms, and more.

Students learn from our Introduction to Algebra textbook and videos, while honing their skills on several types of homework problems. They can also use the class message board to collaborate with their peers and reach out to instructors outside of class.

Why AoPS? Schedule Who Should Take? Topics Required Textbook

Live Online Course Features

16 live class sessions taught by one of our outstanding faculty in an interactive text- and image-based classroom designed for collaboration and motivated students

More than 100 supplementary videos by AoPS founder Richard Rusczyk

Class message board where students can ask questions and collaborate and instructors and assistants provide homework help

Weekly homework including short-answer questions and open-response writing problems, on which students receive detailed feedback

Automated reminders for upcoming classes, reading assignments, and homework, along with thorough progress tracking

Why AoPS?

Live, Collaborative Instruction

Dana Paquin

Stanford PhD Budapest Semesters Invitee Stanford Math Circle Director

Brian Edwards

Northwestern PhD MOP Invitee USA Math Talent Search Director

Josh Zucker

Stanford & Berkeley MS Putnam Top 10 US Physics Team

Ashley Ahlin

UChicago PhD Westinghouse Winner MATHCOUNTS Top 3

Miles Dillon Edwards

MOP Invitee RSI Invitee Putnam Top 25

Our instructors were outstanding math students themselves. Many won major math awards and earned degrees from schools like MIT, Harvard, Stanford, and Princeton. They understand from experience what our students need and serve as role models and mentors.

Active Problem Solving

The class sessions are lively interactive discussions. Students drive the narrative and ask questions right as they have them, learning complex concepts by actively solving problems, not by watching others.

Schedule: Introduction to Algebra B

The current and upcoming sections of this course are listed below. All sections cover the same course material.

Tuesday Jan 28 - May 13	7:30 - 9:00 PM ET Jan 28 - May 13 7:30 - 9:00 PM Eastern 6:30 - 8:00 PM Central 5:30 - 7:00 PM Mountain 4:30 - 6:00 PM Pacific Click here to see more time zones	Orianne Luo	$485 (~$31/lesson) $552 w/books	$485 (~$31/lesson) $552 w/books CLOSED
Tuesday Jan 28 - May 13	7:30 - 9:00 PM ET Jan 28 - May 13 7:30 - 9:00 PM Eastern 6:30 - 8:00 PM Central 5:30 - 7:00 PM Mountain 4:30 - 6:00 PM Pacific Click here to see more time zones	Achilleas Sinefakopoulos	$485 (~$31/lesson) $552 w/books	$485 (~$31/lesson) $552 w/books CLOSED
Thursday Feb 13 - May 29	7:30 - 9:00 PM ET Feb 13 - May 29 7:30 - 9:00 PM Eastern 6:30 - 8:00 PM Central 5:30 - 7:00 PM Mountain 4:30 - 6:00 PM Pacific Click here to see more time zones	Sarah Seales	$485 (~$31/lesson) $552 w/books	$485 (~$31/lesson) $552 w/books CLOSED
STARTING SOON
Sunday Mar 2 - Jun 22	7:30 - 9:00 PM ET Mar 2 - Jun 22 7:30 - 9:00 PM Eastern 6:30 - 8:00 PM Central 5:30 - 7:00 PM Mountain 4:30 - 6:00 PM Pacific Click here to see more time zones	Christian Hokaj	$485 (~$31/lesson) $552 w/books	$485 (~$31/lesson) $552 w/books ENROLL
Wednesday Apr 16 - Jul 30	7:30 - 9:00 PM ET Apr 16 - Jul 30 7:30 - 9:00 PM Eastern 6:30 - 8:00 PM Central 5:30 - 7:00 PM Mountain 4:30 - 6:00 PM Pacific Click here to see more time zones	Jeffrey Hankins	$485 (~$31/lesson) $552 w/books	$485 (~$31/lesson) $552 w/books ENROLL
Tuesday May 6 - Aug 19	7:30 - 9:00 PM ET May 6 - Aug 19 7:30 - 9:00 PM Eastern 6:30 - 8:00 PM Central 5:30 - 7:00 PM Mountain 4:30 - 6:00 PM Pacific Click here to see more time zones	Grace Unger	$485 (~$31/lesson) $552 w/books	$485 (~$31/lesson) $552 w/books ENROLL
Wednesday Jun 4 - Sep 17	7:30 - 9:00 PM ET Jun 4 - Sep 17 7:30 - 9:00 PM Eastern 6:30 - 8:00 PM Central 5:30 - 7:00 PM Mountain 4:30 - 6:00 PM Pacific Click here to see more time zones	Dylon Chow	$485 (~$31/lesson) $552 w/books	$485 (~$31/lesson) $552 w/books ENROLL
Sunday Jun 22 - Oct 19	7:30 - 9:00 PM ET Jun 22 - Oct 19 7:30 - 9:00 PM Eastern 6:30 - 8:00 PM Central 5:30 - 7:00 PM Mountain 4:30 - 6:00 PM Pacific Click here to see more time zones	Angel Bell	$485 (~$31/lesson) $552 w/books	$485 (~$31/lesson) $552 w/books ENROLL
Friday Jul 18 - Nov 14	7:30 - 9:00 PM ET Jul 18 - Nov 14 7:30 - 9:00 PM Eastern 6:30 - 8:00 PM Central 5:30 - 7:00 PM Mountain 4:30 - 6:00 PM Pacific Click here to see more time zones	Orianne Luo	$485 (~$31/lesson) $552 w/books	$485 (~$31/lesson) $552 w/books ENROLL
Fall 2025	This course will be offered in Fall 2025. Click here to join our mailing list to be notified when the course schedule is available.

Don't see a schedule option that works for you? Check out the self-paced version of this class.

AoPS Holidays

There are no classes May 24 ‐ 26, July 4 ‐ 6, August 29 ‐ September 1, October 31, November 24 ‐ November 30, and December 20, 2025 ‐ January 2, 2026.

Who Should Take This Class?

Students are ready for this class if they have mastered square roots and fractional exponents, order of operations, linear equations and inequalities, ratio, and proportion. We recommend that students have experience with factoring quadratics prior to taking this course.

To determine if you’re ready for the course, students can take the diagnostic pretest.
To determine if you need this course or can move on to the next, students can take the diagnostic post-test.

Please note: Our algebra sequence will likely not match up exactly with your school's. Most students who have completed our Introduction to Algebra A course or a high-level honors Algebra 1 course in school are ready for this class. However, we encourage students to take our Introduction to Counting & Probability class before beginning this course. Visit our Recommendations page for help in choosing the right class.

Live vs. Self-Paced

Our live class is designed for students who wish to have a live group experience in an online classroom with instructors and peers. Students wishing to set their own schedule for their studies should consider our self-paced version of Introduction to Algebra B.

Lessons

Show All Topics

Full Course Syllabus

Lesson 1

Factorization

Factoring quadratics
Sums and products of roots of a quadratic

Lesson 2

Quadratics and Complex Numbers

Simon's favorite factoring trick
Introduction to complex numbers

Lesson 3

Completing the Square and the Quadratic Formula

Completing the square
Proving the quadratic formula

Lesson 4

Graphing Quadratics

Parabolas
Circles

Lesson 5

Quadratic Inequalities

Quadratic inequalities
Beyond quadratics

Lesson 6

Optimizing Quadratics and AM-GM Inequality

Quadratic optimization
The AM-GM inequality

Lesson 7

Functions

What is a function?
Adding, subtracting, multiplying, and dividing functions

Lesson 8

Composition and Inverses

Function composition
Inverse functions

Lesson 9

Graphing Functions

Transformations
Graphs of inverse functions

Lesson 10

Polynomials

What is a polynomial?
Adding and multiplying polynomials

Lesson 11

Exponential Functions

Compound interest
Logarithms

Lesson 12

Special Functions Part 1

Radicals
Absolute value

Lesson 13

Special Functions Part 2

Floor and ceiling
Rational functions
Piecewise-defined functions

Lesson 14

Sequences & Series Part 1

Arithmetic sequences
Arithmetic series
Geometric sequences

Lesson 15

Sequences & Series Part 2

Geometric series
Telescoping series

Lesson 16

Challenging Problems Day

Self-similarity
Symmetry

Required Textbook

Introduction to Algebra By Richard Rusczyk

A thorough introduction for students in grades 6-9 to algebra topics such as linear equations, ratios, quadratic equations, special factorizations, complex numbers, graphing linear and quadratic equations, linear and quadratic inequalities, functions, polynomials, exponents and logarithms, absolute value, sequences and series, and more!
Related courses: Introduction to Algebra A and Introduction to Algebra B

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