1
Understand
Learn what the idea means and why mathematicians needed it.
HOW THIS COURSE TEACHES
Understanding comes before memorizing.
2
See It Work
Follow worked examples where every important step is explained.
3
Use It
Connect algebra to money, motion, science, construction, computers and everyday problems.
4
Practice
Work problems yourself with progressive hints when you need help.
5
Get Tutored
Ask the local AI tutor to explain anything another way.
6
Prove Mastery
Use practice tests and exams to find what you know and what needs review.
COMPLETE COURSE
Beginner Foundations → Advanced Algebra
Follow the course from Unit 1 or jump directly to a subject you are studying in school.
UNIT 1
Mathematical Foundations
Build the number skills algebra depends on.
UNIT 2
Entering the World of Algebra
Understand what variables actually mean.
UNIT 3
Solving Equations
Learn why equations stay balanced and how to solve them.
UNIT 4
Inequalities
Describe ranges instead of single answers.
UNIT 5
Coordinates and Graphs
Turn numbers and equations into pictures.
UNIT 6
Linear Equations
Understand constant rates of change.
UNIT 7
Systems of Equations
Find values that satisfy multiple conditions.
UNIT 8
Exponents
Understand repeated multiplication and growth.
UNIT 9
Polynomials
Work with expressions containing many algebraic terms.
UNIT 10
Factoring
Reverse multiplication to expose mathematical structure.
UNIT 11
Quadratic Algebra
Study equations whose graphs form parabolas.
UNIT 12
Radicals and Rational Exponents
Understand roots and fractional powers.
UNIT 13
Rational Expressions
Extend fraction ideas to algebraic expressions.
UNIT 14
Functions
Understand input-output relationships used throughout higher mathematics.
UNIT 15
Advanced Algebra
Prepare for trigonometry, precalculus and calculus.
PRACTICE LAB
Practice until it makes sense.
New problems are generated automatically. Wrong answers can receive hints instead of immediately revealing the answer.
Press “New Problem” to begin.
Practice Exam
Generate a comprehensive 30-question Algebra practice exam covering the course.
LOCAL AI TUTOR
Ask “why?” as many times as you need.
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WHERE DID ALGEBRA COME FROM?
Algebra has a story.
Mathematics did not suddenly appear in a textbook. People developed it over thousands of years because they had real problems they needed to solve.
Ancient beginnings
People were solving problems that we would now call algebra thousands of years before the word algebra existed. Babylonian mathematicians used systematic numerical methods for problems involving unknown quantities.
Greek mathematics
Greek mathematicians explored many algebra-like relationships through geometry. Their work helped establish rigorous mathematical reasoning.
Indian mathematics
Indian mathematicians made major advances involving zero, negative numbers, equations and numerical methods that became important to later algebra.
The Islamic Golden Age
Around the ninth century, Muhammad ibn Musa al-Khwarizmi wrote a systematic treatise on solving equations. Its title included the Arabic word al-jabr. That word eventually became the English word algebra.
Symbolic algebra
European mathematicians gradually developed the compact symbolic notation used today. Letters such as x and y made it possible to express general mathematical relationships efficiently.
Modern algebra
Algebra became a foundation for science, engineering, economics, computing, statistics, physics and nearly every branch of modern quantitative study.
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