Intro; Title Page; Copyright Page; Table of Contents; Introduction; About This Book; Conventions Used in This Book; Foolish Assumptions; Icons Used in This Book; Where to Go from Here; Chapter 1 Making Advances in Algebra; Bringing Out the Best in Algebraic Properties; Making short work of the basic properties; Organizing your operations; Enumerating Exponential Rules; Multiplying and dividing exponents; Rooting out exponents; Powering up exponents; Working with negative exponents; Assigning Factoring Techniques; Making two terms factor; Factoring three terms
Factoring four or more terms by groupingChapter 2 Lining Up Linear Equations; Getting the First Degree: Linear Equations; Solving basic linear equations; Eliminating fractions; Lining Up Linear Inequalities; Solving basic inequalities; Introducing interval notation; Absolute Value: Keeping Everything in Line; Solving absolute value equations; Seeing through absolute value inequality; Chapter 3 Making Quick Work of Quadratic Equations; Using the Square Root Rule When Possible; Solving Quadratic Equations by Factoring; Factoring quadratic binomials; Factoring quadratic trinomials
The Quadratic Formula to the RescueRealizing rational solutions; Investigating irrational solutions; Promoting Quadratic-like Equations; Solving Quadratic Inequalities; Keeping it strictly quadratic; Signing up for fractions; Increasing the number of factors; Chapter 4 Rolling Along with Rational and Radical Equations; Rounding Up Rational Equations and Eliminating Fractions; Making your least common denominator work for you; Proposing proportions for solving rational equations; Reasoning with Radicals; Squaring both sides of the equation; Taking on two radicals
Dealing with Negative ExponentsFactoring out a negative exponent as a greatest common factor; Solving quadratic-like trinomials; Fiddling with Fractional Exponents; Solving equations by factoring fractional exponents; Promoting techniques for working with fractional exponents; Chapter 5 Forging Function Facts; Describing Function Characteristics; Denoting function notation; Using function notation to evaluate functions; Determining Domain and Range; Delving into domain; Wrangling with range; Counting on Even and Odd Functions; Determining whether even or odd
Using even and odd functions in graphsTaking on Functions One-to-One; Defining which functions are one-to-one; Testing for one-to-one functions; Composing Functions; Composing yourself with functions; Composing with the difference quotient; Getting into Inverse Functions; Finding which functions are inverses; Finding an inverse of a function; Chapter 6 Graphing Linear and Quadratic Functions; Identifying Some Graphing Techniques; Finding x- and y-intercepts; Reflecting on a graph's symmetry; Mastering the Graphs of Lines; Determining the slope of a line; Describing two line equations