Note: Each chapter concludes with Chapter Summary, Chapter Review Exercises, and Chapter Practice Test and after Chapter 1, Cumulative Review Test.
Preface
To the Student
CHAPTER 1: Basic Concepts
1.1 Study Skills for Success in Mathematics, and Using a Calculator
1.2 Sets and Other Basic Concepts
1.3 Properties of and Operations with Real Numbers
1.4 Order of Operations
Mid-Chapter Test: Sections 1.1—1.4
1.5 Exponents
1.6 Scientific Notation
CHAPTER 2: Equations and Inequalities
2.1 Solving Linear Equations
2.2 Problem Solving and Using Formulas
2.3 Applications of Algebra
Mid-Chapter Test: Sections 2.1—2.3
2.4 Additional Application Problems
2.5 Solving Linear Inequalities
2.6 Solving Equations and Inequalities Containing Absolute Values
CHAPTER 3: Graphs and Functions
3.1 Graphs
3.2 Functions
3.3 Linear Functions: Graphs and Applications
3.4 The Slope-Intercept Form of a Linear Equation
Mid-Chapter Test: Sections 3.1—3.4
3.5 The Point-Slope Form of a Linear Equation
3.6 The Algebra of Functions
3.7 Graphing Linear Inequalities
CHAPTER 4: Systems of Equations and Inequalities
4.1 Solving Systems of Linear Equations in Two Variables
4.2 Solving Systems of Linear Equations in Three Variables
4.3 Systems of Linear Equations: Applications and Problem Solving
Mid-Chapter Test: Sections 4.1—4.3
4.4 Solving Systems of Equations Using Matrices
4.5 Solving Systems of Equations Using Determinants and Cramer’s Rule
4.6 Solving Systems of Linear Inequalities
CHAPTER 5: Polynomials and Polynomial Functions
5.1 Addition and Subtraction of Polynomials
5.2 Multiplication of Polynomials
5.3 Division of Polynomials and Synthetic Division
5.4 Factoring a Monomial from a Polynomial and Factoring by Grouping
Mid-Chapter Test: Sections 5.1—5.4
5.5 Factoring Trinomials
5.6 Special Factoring Formulas
5.7 A General Review of Factoring
5.8 Polynomial Equations
CHAPTER 6: Rational Expressions and Equations
6.1 The Domains of Rational Functions and Multiplication and Division of Rational Expressions
6.2 Addition and Subtraction of Rational Expressions
6.3 Complex Fractions
6.4 Solving Rational Equations
Mid-Chapter Test: Sections 6.1—6.4
6.5 Rational Equations: Applications and Problem Solving
6.6 Variation
CHAPTER 7: Roots, Radicals, and Complex Numbers
7.1 Roots and Radicals
7.2 Rational Exponents
7.3 Simplifying Radicals
7.4 Adding, Subtracting, and Multiplying Radicals
Mid-Chapter Test: Sections 7.1—7.4
7.5 Dividing Radicals
7.6 Solving Radical Equations
7.7 Complex Numbers
CHAPTER 8: Quadratic Functions
8.1 Solving Quadratic Equations by Completing the Square
8.2 Solving Quadratic Equations by the Quadratic Formula
8.3 Quadratic Equations: Applications and Problem Solving
Mid-Chapter Test: Sections 8.1—8.3
8.4 Writing Equations in Quadratic Form
8.5 Graphing Quadratic Functions
8.6 Quadratic and Other Inequalities in One Variable
CHAPTER 9: Exponential and Logarithmic Functions
9.1 Composite and Inverse Functions
9.2 Exponential Functions
9.3 Logarithmic Functions
9.4 Properties of Logarithms
Mid-Chapter Test: Sections 9.1—9.4
9.5 Common Logarithms
9.6 Exponential and Logarithmic Equations
9.7 Natural Exponential and Natural Logarithmic Functions
CHAPTER 10: Characteristics of Functions and Their Graphs
10.1 Continuous and Discontinuous Functions
10.2 Characteristics of Graphs of Polynomial Functions
Mid-Chapter Test: Sections 10.1—10.2
10.3 Finding the Rational Zeros of a Polynomial Function
10.4 Finding the Real Zeros of a Polynomial Function
10.5 Characteristics of Graphs of Rational Functions
CHAPTER 11: Conic Sections
11.1 T he Parabola and the Circle
11.2 The Ellipse
Mid-Chapter Test: Sections 11.1—11.2
11.3 The Hyperbola
11.4 Nonlinear Systems of Equations and Their Applications
11.5 Nonlinear Systems of Inequalities
CHAPTER 12: Sequences, Series, and Probability
12.1 Sequences and Series
12.2 Arithmetic Sequences and Series
12.3 Geometric Sequences and Series
Mid-Chapter Test: Sections 12.1—12.3
12.4 Mathematical Induction
12.5 The Binomial Theorem
12.6 The Counting Principle, Permutations, and Combinations
12.7 Probability
APPENDIX Geometric Formulas
Answers
Graphing Answer Section *found only in the Annotated Instructor's Edition
Applications Index
Index
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