Preface
1. Basics of Algebra and Graphing
1.1 Some Basics of Algebra
1.2 Operations with Real Numbers
1.3 Equivalent Algebraic Expressions
1.4 Exponential Notation and Scientific Notation
Mid-Chapter Review
1.5 Graphs
1.6 Solving Equations and Formulas
1.7 Introduction to Problem Solving and Models
Summary and Review
Test
2. Functions, Linear Equations, and Models
2.1 Functions
2.2 Linear Functions: Slope, Graphs, and Models
2.3 Another Look at Linear Graphs
2.4 Introduction to Curve Fitting: Point-Slope Form
Mid-Chapter Review
2.5 The Algebra of Functions
Summary and Review
Test
3. Systems of Linear Equations and Problem Solving
3.1 Systems of Equations in Two Variables
3.2 Solving by Substitution or Elimination
3.3 Solving Applications: Systems of Two Equations
Mid-Chapter Review
3.4 Systems of Equations in Three Variables
3.5 Solving Applications: Systems of Three Equations
3.6 Elimination Using Matrices
3.7 Determinants and Cramer's Rule
3.8 Business and Economics Applications
Summary and Review
Test
Cumulative Review: Chapters 1—3
4. Inequalities
4.1 Inequalities and Applications
4.2 Solving Equations and Inequalities by Graphing
4.3 Intersections, Unions, and Compound Inequalities
4.4 Absolute-Value Equations and Inequalities
Mid-Chapter Review
4.5 Inequalities in Two Variables
Summary and Review
Test
5. Polynomials and Polynomial Functions
5.1 Introduction to Polynomials and Polynomial Functions
5.2 Multiplication of Polynomials
5.3 Polynomial Equations and Factoring
5.4 Trinomials of the Type x2 + bx + c
5.5 Trinomials of the Type ax2 + bx + c
5.6 Perfect-Square Trinomials and Differences of Squares
5.7 Sums or Differences of Cubes
Mid-Chapter Review
5.8 Applications of Polynomial Equations
Summary and Review
Test
6. Rational Expressions, Equations, and Functions
6.1 Rational Expressions and Functions: Multiplying and Dividing
6.2 Rational Expressions and Functions: Adding and Subtracting
6.3 Complex Rational Expressions
Mid-Chapter Review
6.4 Rational Equations
6.5 Applications Using Rational Equations
6.6 Division of Polynomials
6.7 Synthetic Division
6.8 Formulas, Applications, and Variation
Summary and Review
Test
Cumulative Review: Chapters 1—6
7. Exponents and Radical Functions
7.1 Radical Expressions, Functions, and Models
7.2 Rational Numbers as Exponents
7.3 Multiplying Radical Expressions
7.4 Dividing Radical Expressions
7.5 Expressions Containing Several Radical Terms
Mid-Chapter Review
7.6 Solving Radical Equations
7.7 The Distance Formula, the Midpoint Formula, and Other Applications
7.8 The Complex Numbers
Summary and Review
Test
8. Quadratic Functions and Equations
8.1 Quadratic Equations
8.2 The Quadratic Formula
8.3 Studying Solutions of Quadratic Equations
8.4 Studying Solutions of Quadratic Equations
8.5 Equations Reducible to Quadratic
Mid-Chapter Review
8.6 Quadratic Functions and Their Graphs
8.7 More About Graphing Quadratic Functions
8.8 Problem Solving and Quadratic Functions
8.9 Polynomial Inequalities and Rational Inequalities
Summary and Review
Test
9. Exponential Functions and Logarithmic Functions
9.1 Composite Functions and Inverse Functions
9.2 Exponential Functions
9.3 Logarithmic Functions
9.4 Properties of Logarithmic Functions
Mid-Chapter Review
9.5 Natural Logarithms and Changing Bases
9.6 Solving Exponential and Logarithmic Equations
9.7 Applications of Exponential and Logarithmic Functions
Summary and Review
Test
Cumulative Review: Chapters 1—9
10. Conic Sections
10.1 Conic Sections: Parabolas and Circles
10.2 Conic Sections: Ellipses
10.3 Conic Sections: Hyperbolas
Mid-Chapter Review
10.4 Nonlinear Systems of Equations
Summary and Review
Test
11. Sequences, Series, and the Binomial Theorem
11.1 Sequences and Series
11.2 Arithmetic Sequences and Series
11.3 Geometric Sequences and Series
Mid-Chapter Review
11.4 The Binomial Theorem
Summary and Review
Test
Cumulative Review: Chapters 1-11
Answers
Glossary
Photo Credits
Index
Index of Applications
