**Ch 0** – Prologue # Elementary Algebra review

**Ch 1** – Intro to Graphing# 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.