Intermediate Algebra: Concepts and Applications, 10th edition

Table of Contents

1. Algebra and Problem Solving
   • 1.1 Some Basics of Algebra
   • 1.2 Operations and Properties of Real Numbers
   • 1.3 Solving Equations
   • 1.4 Introduction to Problem Solving
   • 1.5 Formulas, Models, and Geometry
   • 1.6 Properties of Exponents
   • 1.7 Scientific Notation
2. Graphs, Functions, and Linear Equations
   • 2.1 Graphs
   • 2.2 Functions
   • 2.3 Linear Functions: Slope, Graphs, and Models
   • 2.4 Another Look at Linear Graphs
   • 2.5 Equations of Lines and Modeling
   • 2.6 The Algebra of Functions
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
   • 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
4. Inequalities and Problem Solving
   • 4.1 Inequalities and Applications
   • 4.2 Intersections, Unions, and Compound Inequalities
   • 4.3 Absolute-Value Equations and Inequalities
   • 4.4 Inequalities in Two Variables
   • 4.5 Applications Using Linear Programming
5. Polynomials and Polynomial Functions
   • 5.1 Introduction to Polynomials and Polynomial Functions
   • 5.2 Multiplication of Polynomials
   • 5.3 Common Factors and Factoring by Grouping
   • 5.4 Factoring Trinomials
   • 5.5 Factoring Perfect-Square Trinomials and Differences of Squares
   • 5.6 Factoring Sums or Differences of Cubes
   • 5.7 Factoring: A General Strategy
   • 5.8 Applications of Polynomial Equations
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
   • 6.4 Rational Equations
   • 6.5 Solving Applications Using Rational Equations
   • 6.6 Division of Polynomials
   • 6.7 Synthetic Division and the Remainder Theorem
   • 6.8 Formulas, Applications, and Variation
7. Exponents and Radicals
   • 7.1 Radical Expressions and Functions
   • 7.2 Rational Numbers as Exponents
   • 7.3 Multiplying Radical Expressions
   • 7.4 Dividing Radical Expressions
   • 7.5 Expressions Containing Several Radical Terms
   • 7.6 Solving Radical Equations
   • 7.7 The Distance Formula, the Midpoint Formula, and Other Applications
   • 7.8 The Complex Numbers
8. Quadratic Functions and Equations
   • 8.1 Quadratic Equations
   • 8.2 The Quadratic Formula
   • 8.3 Studying Solutions of Quadratic Equations
   • 8.4 Applications Involving Quadratic Equations
   • 8.5 Equations Reducible to Quadratic
   • 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
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
   • 9.5 Common Logarithms and Natural Logarithms
   • 9.6 Solving Exponential Equations and Logarithmic Equations
   • 9.7 Applications of Exponential Functions and Logarithmic Functions
10. Conic Sections
    • 10.1 Conic Sections: Parabolas and Circles
    • 10.2 Conic Sections: Ellipses
    • 10.3 Conic Sections: Hyperbolas
    • 10.4 Nonlinear Systems of Equations
11. Sequences, Series, and the Binomial Theorem
    • 11.1 Sequences and Series
    • 11.2 Arithmetic Sequences and Series
    • 11.3 Geometric Sequences and Series
    • 11.4 The Binomial Theorem