Ch 0 – Prologue

Elementary Algebra review

Quadrants • Coordinates • Reading graphs

Ch 2 – From Graph to Equation
Ch 3 – From Equation to Graph
Ch 4 – Equations and Inequalities: A Graphical Approach
Ch 5 – Midpoint, Distance, Intercepts, and Slope
Ch 6 – The Equation of a Line

Slope-Intercept form • Point-Slope form

Ch 7 – Break-Even Point, Linear Functions

Revenue • Cost • Profit • Table • Graph • Equation

Ch 8 – Special Lines
Ch 9 – Linear Modeling
Ch 10 – Maximizing Company Profit

Parabolas • Profit • Break-Even Points • Vertex

Ch 11 – Polynomials
Ch 12 – Factoring, Part I
Ch 13 – Break-Even Point, Quadratic Functions

Quadratics by factoring

Ch 14 – Inequalities and Absolute Value Equations
Ch 15 – Variation
Ch 16 – Motion Problems

Solving systems by Substitution

Ch 17 – Percent Mixture Problems

Solving systems by Elimination

Ch 18 – Exponents
Ch 19 – Factoring, Part II

Quartics • Advanced GCF • Four terms • Cubics •

Sum and Difference of Cubes

Ch 20 – Fractions, Part I
Ch 21 – Negative Exponents
Ch 22 – Fractions, Part II
Ch 23 – Fractional Equations

Electric circuits • More motion problems

Ch 24 – Radicals, Part I

Simplifying • Pythagorean • Higher roots • Sqrt(x^2)

Ch 25 – More Equations

Cubic • Quartic • Radical

Ch 26 – Fractional Exponents
Ch 27 – Radicals, Part II
Ch 28 – Preparing for More Quadratics
Ch 29 – Completing the Square
Ch 30 – The Quadratic Formula
Ch 31 – The Parabola

Graphing • Intercepts • Vertex by averaging

Ch 32 – Quadratic Modeling

Vertex shortcut • Optimization • 3x3 systems

Ch 33 – The Circle
Ch 34 – The Ellipse
Ch 35 – Functions

Tables • Mappings • Formulas • Graphs • Function notation •

Composition

Ch 36 – Domain

Polynomials • Fractions • Square Roots

Ch 37 – Rational Functions

Limits • Asymptotes

Ch 38 – Intro to Exponential Equations

Growth and decay • Bell-shaped curve

Ch 39 – Logarithms

pH scale • Richter scale

Ch 40 – Log and Exponential Equations

More growth and decay

Ch 41 – Exponential Functions
Ch 42 – Log Functions

Decibel loudness scale

Ch 43 – Sequences and Series
Ch 44 – The Binomial Theorem

Expanding (a + b)¹⁰⁰

Epilogue – The Laws of Logs

George Washington:

"Ninety-nine percent of the failures come from people who have the habit of making excuses."

Thomas Jefferson:
“I'm a great believer in luck, and I find the harder I work, the more I have of it.”

Extensive research has shown that 3 out of 4 people make up 75% of the population.

How come you can tune a piano, but you can't tuna fish?

A thief stole a calendar. He got twelve months.

Question: A farmer had 297 head of cattle. How did he end up with 300 head of cattle?
Answer: He rounded them up.