Chapter 1: The Real Number System and Geometry
1.1Review of Fractions
1.2Exponents and Order of Operations
1.3Geometry Review
1.4Sets of Numbers and Absolute Value
1.5Addition and Subtraction of Real Numbers
1.6Multiplication and Division of Real Numbers
1.7Algebraic Expressions and Properties of Real Numbers
Chapter 2: The Rules of Exponents
2.1Basic Rules of Exponents
Part AThe Product Rule and Power Rules
Part BCombining the Rules
2.2Integer Exponents
Part AReal-Number Bases
Part BVariable Bases
2.3The Quotient Rule
Putting It All Together
2.4Scientific Notation
Chapter 3: Linear Equations and Inequalities
3.1Solving Linear Equations Part I
3.2Solving Linear Equations Part II
3.3Applications of Linear Equations
3.4Applications Involving Percentages
3.5Geometry Applications and Solving Formulas
3.6Applications of Linear Equations to Proportions, Money Problems, and d=rt
3.7Solving Linear Inequalities in One Variable
3.8Solving Compound Inequalities
Chapter 4: Linear Equations in Two Variables
4.1Introduction to Linear Equations in Two Variables
4.2Graphing by Plotting Points and Finding Intercepts
4.3The Slope of a Line
4.4The Slope-Intercept Form of a Line
4.5Writing an Equation of a Line
4.6Introduction to Functions
Chapter 5: Solving Systems of Linear Equations
5.1Solving Systems by Graphing
5.2Solving Systems by Substitution
5.3Solving Systems by the Elimination Method
Putting It All Together
5.4Applications of Systems of Two Equations
5.5 Systems of Three Equations and Applications
Chapter 6: Polynomials
6.1Review of the Rules of Exponents
6.2Addition and Subtraction of Polynomials
6.3Multiplication of Polynomials
6.4Division of Polynomials
Chapter 7: Factoring Polynomials
7.1The Greatest Common Factor and Factoring by Grouping
7.2Factoring Trinomials of the Form x2+bx+c
7.3Factoring Trinomials of the Form ax2+bx+c (a¿1)
7.4Factoring Special Trinomials and Binomials
Putting It All Together
7.5 Solving Quadratic Equations by Factoring
7.6Applications of Quadratic Equations
Chapter 8: Rational Expressions
8.1Simplifying Rational Expressions
8.2Multiplying and Dividing Rational Expressions
8.3Finding the Least Common Denominator
8.4Adding and Subtracting Rational Expressions
Putting It All Together
8.5Simplifying Complex Fractions
8.6Solving Rational Equations
8.7Applications of Rational Equations
Chapter 9: More Equations and Inequalities
9.1Solving Absolute Value Equations
9.2Solving Absolute Value Inequalities
9.3Solving Linear and Compound Linear Inequalities in Two Variables
9.4Solving Systems of Linear Equations Using Matrices
Chapter 10: Radicals and Rational Exponents
10.1 Finding Roots
10.2 Rational Exponents
10.3 Simplifying Expressions Containing Square Roots
10.4 Simplifying Expressions Containing Higher Roots
10.5 Adding, Subtracting, and Multiplying Radicals
10.6 Dividing Radicals
Putting It All Together
10.7 Solving Radical Equations
10.8 Complex Numbers
Chapter 11: Quadratic Equations
11.1 Review of Solving Equations by Factoring
11.2 The Square Root Property and Completing the Square
11.3 The Quadratic Formula
Putting It All Together
11.6 Equations in Quadratic Form
11.7 Formulas and Applications
Chapter 12: Functions and their Graphs
12.1 Relations and Functions
12.2 Graphs of Functions and Transformations
12.3 Quadratic Functions and Their Graphs
12.4 Applications of Quadratic Functions and Graphing Other Parabolas
12.5 The Algebra of Functions
12.6 Variation
Chapter 13: Exponential, and Logarithmic Functions
13.1 Inverse Functions
13.2 Exponential Functions
13.3 Logarithmic Functions
13.4 Properties of Logarithms
13.5 Common and Natural Logarithms and Change of Base
13.6 Solving Exponential and Logarithmic Equations
Chapter 14: Conic Sections, Nonlinear Inequalities, and Nonlinear Systems
14.1 The Circle
14.2 The Ellipse and the Hyperbola
Putting It All Together
14.3 Nonlinear Systems of Equations
14.4 Quadratic and Rational Inequalities
Chapter 15: Sequences and Series (Online Only)
15.1 Sequences and Series
15.2 Arithmetic Sequences and Series
15.3 Geometric Sequences and Series
15.4 The Binomial Theorem
Appendix: Beginning Algebra Review
A1The Real Number System and Geometry
A2Variables and Exponents
A3Linear Equations and Inequalities
A4Linear Equations in Two Variables and Functions
A5Solving Systems of Linear Equations
A6Polynomials
A7Factoring Polynomials
A8Rational Expressions
