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Table of Contents
Intermediate Algebra, 3rd Edition
R Review of Basic Algebraic ConceptsR.1 Study Skills Group Activity: Becoming a Successful StudentR.2 Sets of Numbers and Interval NotationR.3 Operations on Real NumbersR.4 Simplifying Expressions
1 Linear Equations and Inequalities in One Variable1.1 Linear Equations in One Variable PRE: Equations versus Expressions1.2 Application of Linear Equations in One Variable1.3 Applications to Geometry and Literal Equations1.4 Linear Inequalities in One Variable1.5 Compound Inequalities1.6 Absolute Value Equations1.7 Absolute Value Inequalities PRE: Identifying Equations and Inequalities Group Activity: Understanding the Symbolism of Mathematics
2 Linear Equations in Two Variables2.1 Linear Equations in Two Variables2.2 Slope of a Line and Rate of Change2.3 Equations of a Line PRE: Characteristics of Linear Equations2.4 Application of Linear Equations and Modeling Group Activity: Using Linear Equations to Construct Images
3 Relations and Functions3.1 Relations and Applications3.2 Introduction to Functions3.3 Graphs of Basic Functions PRE: Characteristics of Relations3.4 Algebra of Functions, Composition, and Applications Group Activity: Deciphering a Coded Message
4 Systems of Linear Equations4.1 Solving Systems of Linear Equations by the Graphing Method4.2 Solving Systems of Linear Equations by Using the Substitution Method4.3 Solving Systems of Linear Equations by Using the Addition Method PRE: Solving Systems of Linear Equations4.4 Applications of Systems of Linear Equations in Two Variables4.5 Linear Inequalities and Systems of Linear Inequalities in Two Variables4.6 Systems of Linear Equations in Three Variables and Applications4.7 Solving Systems of Linear Equations by Using Matrices Group Activity: Creating a Quadratic Model of the Form y = at^2 +bt + c
5 Polynomials5.1 Properties of Integer Exponents and Scientific Notation5.2 Addition and Subtraction of Polynomials and Polynomial Functions5.3 Multiplication of Polynomials5.4 Division of Polynomaisl PRE: Operations on Polynomials5.5 Greatest Common Factor and Factoring by Grouping5.6 Factoring Trinomials and Perfect Square Trinomials5.7 Factoring Binomials Including Sum and Difference of Cubes PRE: Factoring Summary5.8 Solving Equations and Applications by Factoring Group Activity: Investigating Pascal's Triangle
6 Rational Expressions and Rational Equations6.1 Rational Expressions and Rational Functions6.2 Multiplication and Division of Rational Expressions6.3 Addition and Subtraction of Rational Expressions6.4 Complex Fractions PRE: Operations on Rational Expressions6.5 Solving Rational Equations PRE: Rational Equations versus Expressions6.6 Applications of Rational Equations and Proportions6.7 Variation Group Activity: Computing the Future Value of an Investment
7 Radicals and Complex Numbers7.1 Definition of an nth-Root7.2 Rational Exponents7.3 Simplifying Radical Expressions7.4 Addition and Subtraction of Radicals7.5 Multiplication of Radicals PRE: Simplifying Radical Expressions7.6 Division of Radicals and Rationalization7.7 Radical Equations and Applications7.8 Complex Numbers Group Activity: Margin of Error of Survey Results
8 Quadratic Equations, Functions, and Inequalities8.1 Square Root Property and Completing the Square8.2 Quadratic Formula and Applications8.3 Equations in Quadratic Form PRE: Equations in Quadratic Form8.4 Graphs of Quadratic Functions8.5 Vertex of a Parabola: Applications and Modeling8.6 Polynomials and Rational Inequalities PRE: Recognizing Equations and Inequalities Group Activity: Creating a Quadratic Model of the Form y = a(x - h)^2 + k
9 Exponential and Logarithmic Functions9.1 Inverse Functions9.2 Exponential Functions9.3 Logarithmic Functions PRE: Identifying Graphs of Functions9.4 Properties of Logarithms9.5 The Irrational Number e PRE: Logarithmic and Exponential Forms9.6 Exponential Equations and Applications9.7 Logarithmic Equations and Applications Group Activity: Creating a Population Model
10 Conic Sections10.1 Distance Formula, Midpoint, and Circles10.2 More of the Parabola10.3 The Ellipse and Hyperbola PRE: Formulas for Conic Sections10.4 Nonlinear Systems of Equations in Two Variables10.5 Nonlinear Inequalities and Systems of Inequalities Group Activity: Investigating the Graphs of Conic Sections on a Calculator
Additional Topics AppendixA.1 Binomial ExpansionsA.2 Determinants and Cramer's RuleA.3 Sequences and SeriesA.4 Arithmetic and Geometric Sequences and Series
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