by Stanley F. Schmidt, Ph.D.
Learn all the concepts of algebra by following the continuing exploits of Fred, the five year old college professor.The companion volume, Fred's Home Companion: Beginning Algebra is designed to guide the student through this volume.
In five days of Fredís life, every aspect of beginning algebra pops up in our heroís life.
What it takes to get drafted into the army at age 6
New milkshake marketing techniques
About enjambment in the colonelís library
. . . and algebra
All of first-year high school algebra.
Finite/Infinite Numbers, Natural numbers, Whole numbers, Integers, Adding signed numbers, Ratios, Multiplying signed numbers, Proportions, Inequalities in the integers, Continued Ratios, Adding like terms, Rectangles, Trapezoids, Sectors, Symmetric Law of Equality, Order of operations, Solving Equations, Rational numbers, Set builder notation, Distance-rate-time problems, Distributive law, Reflexive Law of Equality, Proof of the distributive law, Coin problems, Age problems, Transposing, Solving systems of equations by elimination, Work problems in two unknowns, Graphs, Plotting points, Averages, Graphing linear equations, Graphing any equation, Solving systems of equations by graphing, Solving systems of equations by substitution, Inconsistent and Dependent systems of equations, Factorial function, Areas and volumes, Commutative laws, Negative exponents, Multiplying polynomials, Solving quadratic equations by factoring, Common factors factoring, Easy trinomial factoring, Difference of squares factoring, Grouping factoring, Harder trinomial factoring, Solving fractional equations, Simplifying rational expressions, Adding and subtracting rational expressions, Multiplying and dividing rational expressions, Solving pure quadratic equations, Square roots, Pythagorean theorem, Real numbers, Irrational numbers, Fractional exponents, Solving radical equations, Rationalizing the denominator, Quadratic equations in everyday life, Solving quadratic equations by completing the square, Quadratic formula, Long division of polynomials, Functions, Slope, Finding slope of a line from its equation, Slope-intercept form of a line, Range of a function, Fast way to graph y = mx + b, Fahrenheit-Celsius conversions, Graphing inequalities, Why you canít divide by zero, Absolute value, Solving inequalities in one unknown.
Older editions of Beginning Algebra had a companion book. This edition replaces both Life of Fred: Beginning Algebra and Fred's Home Companion: Beginning Algebra. All problems are completely worked out.