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Intermediate Algebra

(Formerly called Algebra 3) Algebraic subjects covered include advanced quadratics, polynomials, conics, general functions, logarithms, clever factorizations and substitutions, systems of equations, sequences and series, symmetric sums, advanced factoring methods, classical inequalities, functional equations, and more.

24 weeks

Diagnostics

ARE YOU READY? DO YOU NEED THIS?

Documents

SYLLABUS
24 weeks ARE YOU READY? DO YOU NEED THIS? SYLLABUS  

Schedule

Sunday
Nov 10 - May 11
7:30 - 9:00
PM ET
Nov 10 - May 11
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
$695 (~$29/lesson)
$769 w/books
$695 (~$29/lesson)
With Books $769
CLOSED
Tuesday
Dec 3 - May 27
7:30 - 9:00
PM ET
Dec 3 - May 27
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
$695 (~$29/lesson)
$769 w/books
$695 (~$29/lesson)
With Books $769
ENROLL
Friday
Jan 17 - Jun 27
7:30 - 9:00
PM ET
Jan 17 - Jun 27
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
$695 (~$29/lesson)
$769 w/books
$695 (~$29/lesson)
With Books $769
ENROLL
Wednesday
Feb 12 - Jul 23
7:30 - 9:00
PM ET
Feb 12 - Jul 23
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
$695 (~$29/lesson)
$769 w/books
$695 (~$29/lesson)
With Books $769
ENROLL
Sunday
Mar 16 - Sep 14
7:30 - 9:00
PM ET
Mar 16 - Sep 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
$695 (~$29/lesson)
$769 w/books
$695 (~$29/lesson)
With Books $769
ENROLL
Tuesday
Mar 25 - Sep 2
7:30 - 9:00
PM ET
Mar 25 - Sep 2
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
$695 (~$29/lesson)
$769 w/books
$695 (~$29/lesson)
With Books $769
ENROLL
Monday
Apr 21 - Oct 13
7:30 - 9:00
PM ET
Apr 21 - Oct 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
$695 (~$29/lesson)
$769 w/books
$695 (~$29/lesson)
With Books $769
ENROLL

AoPS Holidays

There are no classes December 21 ‐ January 3, May 24 ‐ 26, July 4 ‐ 6, August 29 ‐ September 1, October 31, and November 24 ‐ November 30, 2025.

Who Should Take?

Students should have a mastery of basic algebra up through and including quadratic equations before taking this course. Typically this class follows our Introduction to Geometry class.

This course goes beyond what you would find in a typical honors Algebra curriculum. Algebra courses vary widely in their definitions, but our Intermediate Algebra class covers topics typically found in honors Algebra 2 and Precalculus classes, as well as many topics that are not found in most other curricula. Students who have completed a typical honors Algebra 2 course elsewhere may be ready for Intermediate Algebra.

Lessons

1 Review and Overview
2 Functions Review
3 Complex Numbers
4 Quadratic Equations and Graphing Parabolas
5 Minima, Maxima, and Circles
6 Conics
7 Polynomial Division, the Remainder Theorem, the Factor Theorem
8 Integer and Rational Roots
9 Proof by Contradiction and Irrational Roots
10 Vieta's Formulas
11 Multivariable Polynomials
12 Advanced Strategies for Polynomials
13 Arithmetic and Geometric Sequences and Series
14 Advanced Sequences and Series
15 Induction
16 Exponents and Logarithms
17 Radicals, Monotonic, and Even and Odd Functions
18 Rational Functions and Partial Fractions
19 Piecewise Functions, Absolute Value, Integer and Fractional Part
20 Inequalities
21 Mean Inequality Chain
22 Cauchy-Schwarz Inequality
23 Functional Equations
24 More Functional Equations and Challenging Problems

Required Textbook

Intermediate Algebra
By Richard Rusczyk and Mathew Crawford

A comprehensive textbook covering Algebra 2 and topics in Precalculus. This book is the follow-up to the acclaimed Introduction to Algebra textbook. In addition to offering standard Algebra 2 and Precalculus curriculum, the text includes advanced topics such as those problem solving strategies required for success on the AMC and AIME competitions.
Related course: Intermediate Algebra

Intermediate Algebra has been an excellent course! The class has been extremely fun and challenging, and it is amazing how much material we have covered in this amount of time!  To have a great group of peers to communicate with in class and on the message board is awesome! As a homeschool student, I use Art of Problem Solving online classes as my math curriculum, and I am truly grateful to have such a great resource for my education. AoPS rocks!