Intermediate Algebra

Intermediate Algebra 5e Reference: Review of Basic Algebraic ConceptsR.1 Study SkillsR.2 Sets of Numbers and Interval NotationR.3 Operations of Real NumbersR.4 Simplifying Algebraic ExpressionsChapter 1: Linear Equations and Inequalities in One Variable1.1 Linear Equations in One VariableProblem Recognition Exercises-Equations versus Expressions1.2 Applications of Linear Equations in One Variable1.3 Applications of Geometry and Literal Equations1.4 Linear Inequalities in One Variable1.5 Compound Inequalities1.6 Absolute Value Equations1.7 Absolute Value InequalitiesProblem Recognition Exercises-Identifying Equations and InequalitiesChapter 2: Linear Equations in Two Variables and Functions2.1 Linear Equations in Two Variables2.2 Slope of a Line and Rate of Change2.3 Equations of a LineProblem Recognition Exercises-Characteristics of Linear Equations2.4 Applications of Linear Equations and Modeling2.5 Introduction to Relations2.6 Introduction to Functions2.7 Graphs of FunctionsProblem Recognition Exercises-Characteristics of RelationsChapter 3: Systems of Linear Equations and Inequalities3.1 Solving Systems of Linear Equations by the Graphing Method3.2 Solving Systems of Linear Equations by the Substitution Method3.3 Solving Systems of Linear Equations by the Addition MethodProblem Recognition Exercises-Solving Systems of Linear Equations3.4 Applications of Systems of Linear Equations in Two Variables3.5 Linear Inequalities and Systems of Linear Inequalities in Two Variables3.6 Systems of Linear Equations in Three Variables and Applications3.7 Solving Systems of Linear Equations by Using MatricesChapter 4:  Polynomials4.1 Properties of Integer Exponents and Scientific Notation4.2 Addition and Subtraction of Polynomials and Polynomials Functions4.3 Multiplication of Polynomials4.4 Division of PolynomialsProblem Recognition Exercises-Operations on Polynomials4.5 Greatest Common Factor and Factoring by Grouping4.6 Factoring Trinomials4.7 Factoring BinomialsProblem Recognition Exercises-Factoring Summary4.8 Solving Equations by Using the Zero Product RuleChapter 5:  Rational Expressions and Rational Equations5.1 Rational Expressions and Rational Functions5.2 Multiplication and Division of Rational Expressions5.3 Addition and Subtraction of Rational Expressions5.4 Complex FractionsProblem Recognition Exercises-Operations on Rational Expressions5.5 Solving Rational EquationsProblem Recognition Exercises-Rational Equations versus Expressions5.6 Applications of Rational Equations and ProportionsVariationChapter 6: Radicals and Complex Numbers6.1 Definition of an nth Root6.2 Rational Exponents6.3 Simplifying Radical Expressions6.4 Addition and Subtraction of Radicals6.5 Multiplication of RadicalsProblem Recognition Exercises-Simplifying Radical Expressions6.6 Division of Radicals and Rationalization6.7 Solving Radical Equations6.8 Complex NumbersChapter 7: Quadratic Equations, Functions and Inequalities7.1 Square Root Property and Completing the Square7.2 Quadratic Formula7.3 Equations in Quadratic FormProblem Recognition Exercises-Quadratic and Quadratic Type Equations7.4 Graphs of Quadratic Functions7.5 Vertex of a Parabola:  Applications and Modeling7.6 Polynomial and Rational InequalitiesProblem Recognition Exercises-Recognizing Equations and InequalitiesChapter 8:  Exponential and Logarithmic Functions and Applications8.1 Algebra of Functions and Composition8.2 Inverse Functions8.3 Exponential Functions8.4 Logarithmic FunctionsProblem Recognition Exercises-Identifying Graphs of Functions8.5 Properties of Logarithms8.6 The Irrational Number e and Change of BaseProblem Recognition Exercises-Logarithmic and Exponential Forms8.7 Logarithmic and Exponential Equations and ApplicationsChapter 9:  Conic Sections9.1 Distance Formula, Midpoint Formula, and Circles9.2 More on the Parabola9.3 The Ellipse and HyperbolaProblem Recognition Exercises-Formulas and Conic Sections9.4 Nonlinear systems of Equations in Two Variables9.5 Nonlinear Inequalities and Systems of InequalitiesChapter 10:  Binomial Expansions, Sequences, and Series10.1 Binomial Expansions10.2 Sequences and Series10.3 Arithmetic Sequences and Series10.4 Geometric Sequences and Series Problem Recognition Exercises-Identifying Arithmetic and Geometric SeriesChapter 11 (Online): Transformations, Piecewise-Defined Functions, and Probability11.1 Transformations of Graphs and Piecewise-Defined Functions11.2 Fundamentals of Counting11.3 Introduction to ProbabilityAdditional Topics AppendixA.1 Determinants and Cramer's Rule