TABLE OF CONTENTS:
One Mathematical Cat, Please!
A First Course in Algebra (Offline Version)

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Download this offline course

Welcome! This is the offline version of One Mathematical Cat, Please! A First Course in Algebra, created by Dr. Carol JVF Burns. Just like the online version, it is carefully sequenced, totally free, requires no logins, and has no ads. Once downloaded, everything works without an internet connection.

You won’t just learn algebra. You’ll learn the language of mathematics while you’re learning algebra.

What’s Included?

Everything needed for the entire course resides in a single folder. Once it’s on your computer, it will never change unless you decide to change it. No forced updates. No disappearing features. No unexpected redesigns. More importantly—if you’re a teacher—you’ll never need to rewrite a carefully-planned syllabus because something changed outside your control.

It has unlimited randomly-generated exercises and worksheets in every lesson, so you’ll never run out of practice. Every lesson has audio with text highlighting, so you can hear the math being read aloud (by me)!

There’s also a print version of this Algebra course—the complete book behind the lessons. It includes more detailed explanations and active reading exercises—quick-and-easy opportunities to pause, digest new information, and check understanding.

The $164^+$ lessons (below) and the print book are designed to work together: the book gives full explanations with guided exercises; the computer-based lessons give concise explanations, audio, and unlimited practice.

Plus, the book has a super cute cover. You can keep the book nearby as a conversation piece—or simply as a reminder that this entire Algebra course lives right on your computer.


(front and back cover of the printed book)

For extra flexibility, the entire book (pdf version) is also available in the first column below. Just click ‘Read Section $1\,$’, ‘Read Section $2\,$’, and so on.

There’s also a detailed index that:

You’re about to learn that $\,x\,$ is to mathematics as ‘cat’ is to English. Next time you see ‘$\,x\,$’, I hope you think One Mathematical Cat, Please! and laugh a bit—making mathematics a little less stressful and a little more fun.

How to Use This Algebra Course

Jump back-and-forth between the $164^+$ computer lessons and book (print/pdf)—whatever works for you. But go in order, from beginning to end. Really.

Fly through parts that are easy for you, but don’t skip anything. (Especially don’t skip any section with a green background!) Why? This isn’t a traditional Algebra course, and there will be lots of ideas you’ve never seen before. If you miss them, things won’t flow.

Sections with the green background are from the original ‘cat’ book (Cat-on-Swing). It became the foundation for this complete First Course in Algebra.

Algebra §1:
The Language of Mathematics
Read Section 1
Algebra §2:
Brushing Up On Basic Arithmetic Skills
Read Section 2
Algebra §3:
The Real Numbers
Read Section 3
Algebra §4:
Addition of Signed Numbers
Read Section 4
Algebra §5:
Subtraction of Signed Numbers
Read Section 5
Algebra §6:
Average
Read Section 6
Algebra §7:
The Base Ten Number System
Read Section 7
Algebra §8:
Decimals
Read Section 8
Algebra §9:
Mathematicians are Fond of Collections
Read Section 9
Algebra §10:
Holding This, Holding That
Read Section 10
Algebra §10.5:
Solving For A Particular Variable
(important for science classes)
Algebra §10.7:
Scientific Notation and Significant Figures
(important for science classes)
Algebra §11:
Introduction to Fractions
Read Section 11
Algebra §12:
Multiplying Fractions
Read Section 12
Algebra §13:
Adding Fractions
Read Section 13
Algebra §13.5:
Prime Numbers and Related Concepts
(Short on time? Section 13.5 can be skipped without any loss of continuity.)
Algebra §14:
I Live Two Blocks West Of You
Read Section 14
Algebra §15:
Numbers Have Lots of Different Names!
Read Section 15
Algebra §16:
Exact versus Approximate
Read Section 16
Algebra §17:
Rounding
Read Section 17
Algebra §18:
Unit Conversion
Read Section 18
Algebra §19:
More Unit Conversion
Read Section 19
Algebra §20:
Exponent Notation
Read Section 20
Algebra §21:
Exponent Laws
Read Section 21
71. Practice with $\,x^mx^n = x^{m+n}\,$
72. Practice with $\,(x^m)^n = x^{mn}\,$
73. Practice with $\,x^m/x^n = x^{m-n}$
74. Practice with $\,x^{-p} = 1/x^p$
75. One-Step Exponent Law Practice
76. Multi-Step Exponent Law Practice
Algebra §22:
Radicals
Read Section 22
Algebra §23:
Rational Exponents
Read Section 23
Algebra §24:
The Distributive Law
Read Section 24
Algebra §25:
Revisiting Exponents
Read Section 25
Algebra §26:
FOIL and More
Read Section 26
Algebra §27:
These Sentences Certainly Look Different!
Read Section 27
Algebra §28:
Introduction to Factoring
Read Section 28
Algebra §29:
Greatest Common Factor
Read Section 29
Algebra §30:
Transforming Tool #1
(the Addition Property of Equality)
Read Section 30
Algebra §31:
Transforming Tool #2
(the Multiplication Property of Equality)
Read Section 31
Algebra §32:
Solving Linear Equations in One Variable
Read Section 32
Algebra §32.5:
Applications and More
Algebra §33:
Solving Linear Inequalities in One Variable
Read Section 33
Algebra §34:
Introduction to Absolute Value
Read Section 34
Algebra §35:
Solving Absolute Value Equations
Read Section 35
Algebra §36:
Solving Absolute Value Inequalities Involving ‘Less Than’
Read Section 36
Algebra §37:
Finishing Up Absolute Value Sentences
Read Section 37

And there’s more! (A printed book can only be so long...) The following additional lessons have everything you need, right in the web page.

Want a print version to work away from the computer? Supplement: The Extra Sections contains all $40$ extra lessons (sections $38$–$47$), together with a worksheet for each section. There’s plenty of space to work problems right in the book.

Algebra §38:
Factoring a Difference of Squares
Algebra §39:
Solving Equations Involving Perfect Squares
Algebra §40:
Factoring Trinomials
133. Basic Concepts Involved in Factoring Trinomials
134. Factoring Trinomials of the Form $\,x^2 + bx + c\,,$ where $\,c \gt 0\,$
135. Factoring Trinomials of the Form $\,x^2 + bx + c\,,$ where $\,c \lt 0\,$
136. Factoring Trinomials, All Mixed Up
Algebra §41:
Solving Quadratic Equations by Factoring
Algebra §42:
More on Quadratic Equations
Algebra §42.5:
Arithmetic with Fractions Involving Variables
Algebra §43:
Percent Increase and Decrease
Algebra §44:
Introduction to the Coordinate Plane
Algebra §45:
Lines
Algebra §46:
More On Lines
Algebra §47:
Functions