Intermediate Algebra

Chapter 1 Real Numbers and Algebraic Expressions

1.1 Tips for Success in Mathematics

1.2 Algebraic Expressions and Sets of Numbers

1.3 Equations, Inequalities, and Properties of Real Numbers

1.4 Operations on Real Numbers

1.5 Order of Operations and Algebraic Expressions

1.6 Exponents and Scientific Notation

1.7 More Work with Exponents and Scientific Notation



Chapter 2 Equations, Inequalities, and Problem Solving

2.1 Lienar Equations in One Variable

2.2 An Introduction to Problem Solving

2.3 Formulas and Problem Solving

2.4 Linear Inequalities and Problem Solving

2.5 Sets and Compound Inequalities

2.6 Absolute Value Equations

2.7 Absolute Value Inequalities



Chapter 3 Graphs and Functions

3.1 Graphing Linear Equations

3.2 The Slope of a Line

3.3 The Slope-Intercept Form

3.4 More Equations of Lines

3.5 Graphing Linear Inequalities

3.6 Introduction to Functions

3.7 Finding Domains and Ranges from Graphs and Graphing Piecewise-Defined Functions
3.8 Shifting and Reflecting Graphs of Functions



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 and Problem Solving

4.4 Solving Systems of Equations Using Matrices

4.5 Systems of Linear Inequalities



Chapter 5 Polynomials and Polynomial Functions

5.1 Polynomial Functions and Adding and Subtracting Polynomials

5.2 Multiplying Polynomials

5.3 Dividing Polynomials and Synthetic Division

5.4 The Greatest Common Factor and Factoring by Grouping

5.5 Factoring Trinomials

5.6 Factoring by Special Products

5.7 Solving Equations by Factoring and Solving Problems



Chapter 6 Rational Expressions

6.1 Rational Functions and Multiplying and Dividing Rational Expressoins

6.2 Adding and Subtracting Rational Expressions

6.3 Simplifying Complex Fractions

6.4 Solving Equations Containing Rational Expressions

6.5 Rational Equations and Problem Solving

6.6 Variation and Problem Solving


Chapter 7 Rational Exponents, Radicals, and Complex Numbers

7.1 Radical Expressions and Radical Functions

7.2 Rational Exponents

7.3 Simplifying Radical Expressions

7.4 Adding, Subtracting, and Multiplying Radical Expressions

7.5 Rationalizing Numerators and Denominators of Radical Expressions

7.6 Radical Equations and Problem Solving

7.7 Complex Numbers



Chapter 8 Quadratic Equations and Functions

8.1 Solving Quadratic Equations by Completing the Square

8.2 Solving Quadratic Equations by Using the Quadratic Formula

8.3 Solving Equations by Using Quadratic Methods

8.4 Nonlinear Inequalities in One Variable

8.5 Quadratic Functions and Their Graphs

8.6 Further Graphing of Quadratic Functions



Chapter 9 Exponential and Logarithmic Functions

9.1 The Algebra of Functions

9.2 Inverse Functions

9.3 Exponential Functions

9.4 Exponential Growth and Decay Functions

9.5 Logarithmic Functions

9.6 Properties of Logarithms

9.7 Common Logarithms, Natural Logarithms, and Change of Base

9.8 Exponential and Logarithmic Equations and Problem Solving



Chapter 10 Conic Sections

10.1 The Parabola and the Circle

10.2 The Ellipse and the Hyperbola

10.3 Solving Nonlinear Systems of Equations

10.4 Nonlinear Inequalities and Systems of Inequalities



Appendix A Fractions

Appendix B Solving Systems of Equations Using Determinants

Appendic C An Introduction to Using a Graphing Utility

Appendix D Stretching and Compressing Graphs of Absolute Value Functions

Appendix E Review of Angles, Lines, and Special Triangles

Student Resources