Intermediate Algebra
Table of Contents

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Program Details

Chapter 1: Real Numbers and Basic Geometry Concepts

1.1 Sets of Numbers

1.2 Operations on Real Numbers

1.3 Algebraic Expressions and Properties of Real Numbers

Chapter 2: Linear Equations and Inequalities in One Variable

2.1 Solving Linear Equations in One Variable

2.2 Applications of Linear Equations

2.3 Geometry Applications and Solving Formulas

2.4 More Applications of Linear Equations

2.5 Linear Inequalities in One Variable

2.6 Compound Inequalities in One Variable

2.7 Absolute Value Equations and Inequalities

Chapter 3: Linear Equations in Two Variables and Functions

3.1 Introduction to Linear Equations in Two Variables

3.2 Slope of a Line and Slope-Intercept Form

3.3 Writing an Equation of a Line

3.4 Linear and Compound Linear Inequalities in Two Variables

3.5 Introduction to Functions

Chapter 4: Solving Systems of Linear Equations

4.1 Solving Systems of Linear Equations in Two Variables

4.2 Solving Systems of Linear Equations in Three Variables

4.3 Applications of Systems of Linear Equations

4.4 Solving Systems of Linear Equations Using Matrices

Chapter 5: Polynomials and Polynomial Functions

5.1 The Rules of Exponents

5.2 More on Exponents and Scientific Notation

5.3 Addition and Subtraction of Polynomials and Polynomial Functions

5.4 Multiplication of Polynomials and Polynomial Functions

5.5 Division of Polynomials and Polynomial Functions

Chapter 6: Factoring Polynomials

6.1 The Greatest Common Factor and Factoring by Grouping

6.2 Factoring Trinomials

6.3 Special Factoring Techniques

Putting It All Together

6.4 Solving Quadratic Equations by Factoring

6.5 Applications of Quadratic Equations

Chapter 7: Rational Expressions, Equations, and Functions

7.1 Simplifying, Multiplying, and Dividing Rational Expressions and Functions

7.2 Adding and Subtracting Rational Expressions

7.3 Simplifying Complex Fractions

7.4 Solving Rational Equations

Putting It All Together

7.5 Applications of Rational Equations

7.6 Variation

Chapter 8: Radicals and Rational Exponents

8.1 Radical Expressions and Functions

8.2 Rational Exponents

8.3 Simplifying Expressions Containing Square Roots

8.4 Simplifying Expressions Containing Higher Roots

8.5 Adding, Subtracting, and Multiplying Radicals

8.6 Dividing Radicals

Putting It All Together

8.7 Solving Radical Equations

8.8 Complex Numbers

Chapter 9: Quadratic Equations and Functions

9.1 The Square Root Property and Completing the Square

9.2 The Quadratic Formula

Putting It All Together

9.3 Equations in Quadratic Form

9.4 Formulas and Applications

9.5 Quadratic Functions and Their Graphs

9.6 Applications of Quadratic Functions and Graphing Other Parabolas

9.7 Quadratic and Rational Inequalities

Chapter 10: Exponential, and Logarithmic Functions

10.1 Composite and Inverse Functions

10.2 Exponential Functions

10.3 Logarithmic Functions

10.4 Properties of Logarithms

10.5 Common and Natural Logarithms and Change of Base

10.6 Solving Exponential and Logarithmic Equation

Chapter 11: Nonlinear Functions, Conic Sections, and Nonlinear Systems

11.1 Graphs of Other Useful Functions

11.2 The Distance Formula, Midpoint, and Circle

11.3 The Ellipse

11.4 The Hyperbola

Putting It All Together

11.5 Nonlinear Systems of Equations

11.6 Second-Degree Inequalities and Systems of Inequalities

Chapter 12: Sequences and Series (Online Only)

12.1 Sequences and Series

12.2 Arithmetic Sequences and Series

12.3 Geometric Sequences and Series

12.4 The Binomial Theorem

A Appendix

A.1 Geometry Review

A.2 Determinants and Cramer’s Rule

A.3 Graphing Polynomial Functions

A.4 Synthetic Division and the Remainder Theorem