Overview

Intermediate Algebra, 3rd Edition

RReview of Basic Algebraic Concepts

R.1Study SkillsGroup Activity: Becoming a Successful StudentR.2Sets of Numbers and Interval NotationR.3Operations on Real NumbersR.4Simplifying Expressions

1Linear Equations and Inequalities in One Variable

1.1Linear Equations in One VariablePRE: Equations versus Expressions1.2Application of Linear Equations in One Variable1.3Applications to Geometry and Literal Equations1.4Linear Inequalities in One Variable1.5Compound Inequalities1.6Absolute Value Equations1.7Absolute Value InequalitiesPRE: Identifying Equations and InequalitiesGroup Activity: Understanding the Symbolism of Mathematics

2Linear Equations in Two Variables

2.1Linear Equations in Two Variables2.2Slope of a Line and Rate of Change2.3Equations of a LinePRE: Characteristics of Linear Equations2.4Application of Linear Equations and ModelingGroup Activity: Using Linear Equations to Construct Images

3Relations and Functions

3.1Relations and Applications3.2Introduction to Functions3.3Graphs of Basic FunctionsPRE: Characteristics of Relations3.4Algebra of Functions, Composition, and ApplicationsGroup Activity: Deciphering a Coded Message

4Systems of Linear Equations

4.1Solving Systems of Linear Equations by the Graphing Method4.2Solving Systems of Linear Equations by Using the Substitution Method4.3Solving Systems of Linear Equations by Using the Addition MethodPRE: Solving Systems of Linear Equations4.4Applications of Systems of Linear Equations in Two Variables4.5Linear Inequalities and Systems of Linear Inequalities in Two Variables4.6Systems of Linear Equations in Three Variables and Applications4.7Solving Systems of Linear Equations by Using MatricesGroup Activity: Creating a Quadratic Model of the Form y = at^2 +bt + c

5Polynomials

5.1Properties of Integer Exponents and Scientific Notation5.2Addition and Subtraction of Polynomials and Polynomial Functions5.3Multiplication of Polynomials5.4Division of PolynomaislPRE: Operations on Polynomials5.5Greatest Common Factor and Factoring by Grouping5.6Factoring Trinomials and Perfect Square Trinomials5.7Factoring Binomials Including Sum and Difference of CubesPRE: Factoring Summary5.8Solving Equations and Applications by FactoringGroup Activity: Investigating Pascal''s Triangle

6Rational Expressions and Rational Equations

6.1Rational Expressions and Rational Functions6.2Multiplication and Division of Rational Expressions6.3Addition and Subtraction of Rational Expressions6.4Complex FractionsPRE: Operations on Rational Expressions6.5Solving Rational EquationsPRE: Rational Equations versus Expressions6.6Applications of Rational Equations and Proportions6.7VariationGroup Activity: Computing the Future Value of an Investment

7Radicals and Complex Numbers

7.1Definition of an nth-Root7.2Rational Exponents7.3Simplifying Radical Expressions7.4Addition and Subtraction of Radicals7.5Multiplication of RadicalsPRE: Simplifying Radical Expressions7.6Division of Radicals and Rationalization7.7Radical Equations and Applications7.8Complex NumbersGroup Activity: Margin of Error of Survey Results

8Quadratic Equations, Functions, and Inequalities

8.1Square Root Property and Completing the Square8.2Quadratic Formula and Applications8.3Equations in Quadratic FormPRE: Equations in Quadratic Form8.4Graphs of Quadratic Functions8.5Vertex of a Parabola: Applications and Modeling8.6Polynomials and Rational InequalitiesPRE: Recognizing Equations and InequalitiesGroup Activity: Creating a Quadratic Model of the Form y = a(x - h)^2 + k

9Exponential and Logarithmic Functions

9.1Inverse Functions9.2Exponential Functions9.3Logarithmic FunctionsPRE: Identifying Graphs of Functions9.4Properties of Logarithms9.5The Irrational Number ePRE: Logarithmic and Exponential Forms9.6Exponential Equations and Applications9.7Logarithmic Equations and ApplicationsGroup Activity: Creating a Population Model

10Conic Sections

10.1Distance Formula, Midpoint, and Circles10.2More of the Parabola10.3The Ellipse and HyperbolaPRE: Formulas for Conic Sections10.4Nonlinear Systems of Equations in Two Variables10.5Nonlinear Inequalities and Systems of InequalitiesGroup Activity: Investigating the Graphs of Conic Sections on a Calculator

Additional Topics Appendix

A.1Binomial ExpansionsA.2Determinants and Cramer''s RuleA.3Sequences and SeriesA.4Arithmetic and Geometric Sequences and Series

ISBN-13

9780077728786

ISBN-10

0077728785

Weight

3.44 Pounds

Dimensions

8.20 x 1.20 x 10.80 In

List Price

$194.91

Edition

3rd Edition

Format

-

Pages

928 pages

Publisher

McGraw Hill

Published On

2014-05-12



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