Introduction to Algebra A Online Math Course Introduction to Algebra A | Online Math Course | AoPS
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# Introduction to Algebra A

(Formerly called Algebra 1) Fundamental concepts of algebra, including exponents and radicals, linear equations and inequalities, ratio and proportion, systems of linear equations, factoring quadratics, complex numbers, completing the square, and the quadratic formula.

16 weeks

#### Diagnostics

ARE YOU READY? DO YOU NEED THIS?

SYLLABUS
16 weeks

### AoPS Holidays

There are no classes May 29–31, July 3–5, and September 4–6.

### Who Should Take?

Students are ready for this course if they have mastered arithmetic with fractions, decimals, percents, negative numbers, and integer exponents. Most students who have completed a typical Prealgebra course are ready for this course. Students finishing our Beast Academy curriculum should take Prealgebra 1 and Prealgebra 2 prior to taking this course.

Please note: Our Algebra sequence will likely not match up exactly with your school's. Most students who have completed a Prealgebra course are ready for this course. This course covers much of the algebra of a typical honors Algebra 1 course, some of the content of an honors Algebra 2 course, and some additional material not taught in most standard curricula. Visit our Recommendations page for help in choosing the right class.

### Lessons

 Lesson 1 Follow the Rules Lesson 2 Fractional Exponents, Radicals, and Variables Lesson 3 Variables and Expressions Lesson 4 Linear Equations Lesson 5 More Variables Lesson 6 Linear Equations with Multiple Variables Lesson 7 Ratio and Percent Lesson 8 More Ratios and Proportion Lesson 9 Common Errors and Challenging Problems Lesson 10 Graphing Lines (Part 1) Lesson 11 Graphing Lines (Part 2) and Introduction to Inequalities Lesson 12 Graphing Inequalities Lesson 13 Quadratic Equations (Part 1) Lesson 14 Special Factorizations Lesson 15 Simon's Favorite Factoring Trick and Complex Numbers Lesson 16 Quadratic Equations (Part 2)

### 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! This book is used in our Introduction to Algebra A and Introduction to Algebra B courses.

Introduction to Algebra A is an amazing class. AoPS has made me truly love mathematics. It covers the course material at a pace that allows you to learn a ton and not be bored by reciting stuff over and over. The explanations are clear and the problems are challenging and fun. I like it so much, I'm already signed up for Introduction to Algebra B.