Beginning and Intermediate Algebra 4e Chapter 1: Set of Real Numbers 1.1 Fractions 1.2 Introduction to Algebra and the Set of Real Numbers 1.3 Exponents, Square Roots, and Order of Operations 1.4 Addition of Real Numbers 1.5 Subtraction of Real Numbers Problem Recognition Exercises--Addition and Subtraction of Real Numbers 1.6 Multiplication and Division of Real Numbers Problem Recognition Exercises--Adding, Subtracting, Multiplying and Dividing Real Numbers 1.7 Properties of Real Numbers and Simplifying Expressions Chapter 2: Linear Equations and Inequalities 2.
1 Addition, Subtraction, Multiplication, and Division Properties of Equality 2.2 Solving Linear Equations 2.3 Linear Equations: Clearing Fractions and Decimals Problem Recognition Exercises--Equations vs.Expressions 2.4 Applications of Linear Equations: Introduction to Problem Solving 2.5 Applications Involving Percents 2.6 Formulas and Applications of Geometry 2.7 Mixture Applications and Uniform Motion 2.
8 Linear Inequalities Chapter 3: Graphing Linear Equations in Two Variables 3.1 Rectangular Coordinate System 3.2 Linear Equations in Two Variables 3.3 Slope of a Line and Rate of Change 3.4 Slope-Intercept Form of a Linear Equation Problem Recognition Exercises-Linear Equations in Two Variables Point-Slope Formula Applications of Linear Equations Chapter 4: Systems of Linear Equations 4.1 Solving Systems of Equations by the Graphing Method 4.2 Solving Systems of Equations by the Substitution Method 4.3 Solving Systems of Equations by the Addition Method Problem Recognition Exercises: Systems of Equations 4.
4 Applications of Linear Equations in Three Variables 4.5 Systems of Linear Equations in Three Variables 4.6 Applications of Systems of Linear Equations in Three Variables Chapter 5: Polynomials and Properties of Exponents 5.1 Multiplying and Dividing Expressions with Common Bases 5.2 More Properties of Exponents 5.3 Definitions of b^0 and b^-n Problem Recognition Exercises-Properties of Exponents 5.4 Scientific Notation 5.5 Addition and Subtraction of Polynomials 5.
6 Multiplication of Polynomials 5.7 Division of Polynomials Problem Recognition Exercises-Operations on Polynomials Chapter 6: Factoring Polynomials 6.1 Greatest Common Factor and Factoring by Grouping 6.2 Factoring Trinomials of the Form x^2 + bx + c 6.3 Factoring Trinomials: Trial-and-Error Method 6.4 Factoring Trinomials: AC-Method 6.5 Difference of Squares and Perfect Square Trinomials 6.6 Sum and Difference of Cubes Problem Recognition Exercises-Factoring Strategy 6.
7 Solving Equations Using the Zero Product Rule Problem Recognition Exercises-Polynomial Expressions and Polynomial Equations 6.8 Applications of Quadratic Equations Chapter 7: Rational Expressions and Equations 7.1 Introduction of Rational Expressions 7.2 Multiplication and Division of Rational Expressions 7.3 Least Common Denominator 7.4 Addition and Subtraction of Rational Expressions Problem Recognition Exercises-Operations of Rational Expressions 7.5 Complex Fractions7.6 Rational Equations Problem Recognition Exercises-Comparing Rational Equations and Rational Expressions 7.
7 Applications of Rational Equations and Proportions Chapter 8: Relations and Functions 8.1 Introduction of Relations 8.2 Introduction of Functions 8.3 Graphs of Functions Problem Recognition Exercises: Characteristics of Relations 8.4 Alebra of Functions and Composition8.5 Variation Chapter 9: More Equations and Inequalities 9.1 Compound Inequalities 9.2 Polynomial and Rational Enequalities 9.
3 Absolute Value Equations 9.4 Absolute Value Inequalities Problem Recognition Exercises: Equations and Inequalities 9.5 Linear and Compound Inequalities in Two Variables Chapter 10: Radicals and Complex Numbers 10.1 Definition of an nth Root10.2 Rational Exponents10.3 Simplifying Radical Expressions10.4 Addition and Subtraction of Radicals10.5 Multiplication of Radical Problem Recognition Exercises: Simplifying Radical Expressions 10.
6 Division of Radicals and Rationalization10.7 Solving Radical Equations10.8 Complex Numbers Chapter 11: Quadratic Equations, Functions and Inequalities 11.1 Square Root Property and Completing the Square 11.2 Quadratic Formula11.3 Equations in Quadratic Form Problem Recognition Exercises: Quadratic and Quadratic Type Equations 11.4 Graphs of Quadratic Functions11.5 Vertex of a Parabola: Applications and Modeling Chapter 12: Exponential and Logarithmic Functions and Applications 12.
1 Inverse Functions 12.2 Exponential Functions 12.3 Logarithmic Functions Problem Recognition Exercises: Logarithmic and Exponential Forms 12.4 Properties of Logarithms12.5 The Irrational Number and change of Base12.6 Logarithmic and Exponential Equations and Applications Chapter 13: Conic Sections 13.1 Distance Formula, Midpoint Formula, and Circles 13.2 More on the Parabola 13.
3 The Ellipse and Hyperbola Problem Recognition Exercises: Formulas and Conic Sections 13.4 Nonlinear Systems of Equation in Two Variables13.5 Nonlinear Inequalities and Systems of Inequalities Chapter 14: Binomial Expansions, Sequences, and Series 14.1 Binomial Expansions 14.2 Sequences and Series 14.3 Arithmetic Sequences and Series 14.4 Geometric Sequences and Series Problem Recognition Exercises: Identifying Arithmetic and Geometric Series Additional Topics Appendix A.1 Mean, Median, and Mode A.
2 Introduction to Geometry A.3 Solving Systems of Linear Equations Using Matrices A.4 Determinants and Cramer''s Rule.