Life of Fred: Advanced Algebra Expanded Edition

Book 3 of 6 in the High School Math Sequence, normally done in the Sophomore Year. (All the answers are given in the book itself.  No need to buy answer keys, teachers' editions, or anything else.)

All of second-year high school algebra:
Ratios, Median averages, Proportions, Dividing by zero, Cross-multiplying, Constants of proportionality, Inverse variation, Direct variation, Joint variation, Weight varies directly as the cube of the height, Area varies directly as the square of the height, Volume varies directly as the cube of the height, Laws of exponents, Rationalizing the denominator, Pythagorean theorem, Solving radical equations, Surface area of a cone, A Brief History of mathematics, Natural numbers, Whole numbers, Integers, Irrational numbers, Real numbers, Imaginary numbers, Complex numbers, Velocity, Conversion factors, Unit analysis, Venn diagrams, Union of sets, Disjoint sets, Subsets, Intersection of sets, Significant digits in addition and multiplication, Scientific notation, Exponential equations, Logarithms, Product, quotient, birdie, and power rules for logarithms, Using a scientific calculator, Finding antilogs, Three definitions of logarithms, Change-of-base rule for logarithms, Graphing, Abscissa, Ordinate, Quadrants, Slope, Slope given two points, Slope-intercept and double-slope forms of the line, Slopes of perpendicular lines, Multiplying binomials, Factoring binomials, Factoring a difference of squares, Factoring trinomials, Adding, subtracting, multiplying and dividing polynomial fractions, Complex fractions, Linear equations, Quadratic equations, Radical equations, Systems of Equations, Inconsistent, dependent and independent equations, Graphing planes in three dimensions, Cramer’s rule, Determinants, Ellipses, Circles, Reflective property of ellipses, Parabolas, Hyperbolas, Graphing inequalities, Definition of a function, Domain, Codomain, Range, Functional notation, One-to-one, Onto, Inverse functions, Ordered pairs, Long division of polynomials, Partial fractions, Proofs by math induction, Linear Programming, Arithmetic progressions, and series, Adding and multiplying matrices, Geometric sequences and progressions, Sigma notation, Fundamental principle of counting, Factorial, Permutations, Combinations, Binomial formula, Pascal’s Triangle.

ISBN: 978-1-937032-13-5, hardback, 544 pages

The full 6-book High School Math Series includes:

1. Life of Fred: Beginning Algebra Expanded Edition (freshman year)
2. Zillions of Practice Problems: Beginning Algebra (optional, freshman year)
3. Life of Fred: Advanced Algebra Expanded Edition (sophomore year)
4. Zillions of Practice Problems Advanced Algebra (optional, sophomore year)
5. Life of Fred: Geometry Expanded Edition (junior year)
6. Life of Fred: Trigonometry Expanded Edition (senior year)

Calculus, Logic, Statistics, and Chemistry books are also available for extra-eager students.