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2 The Rules of Exponents
2.1 Basic Rules of Exponents
Part A The Product Rule and Power Rules
Part B Combining the Rules
2.2 Integer Exponents
Part A Real-Number Bases
Part B Variable Bases
2.3 The Quotient Rule
Putting It All Together
2.4 Scientific Notation
3 Linear Equations and Inequalities
3.1 Solving Linear Equations Part I
3.2 Solving Linear Equations Part II
3.3 Applications of Linear Equations
3.4 Applications Involving Percentages
3.5 Geometry Applications and Solving Formulas
3.6 Applications of Linear Equations to Proportions, Money Problems, and d=rt
3.7 Solving Linear Inequalities in One Variable
3.8 Solving Compound Inequalities
4 Linear Equations in Two Variables
4.1 Introduction to Linear Equations in Two Variables
4.2 Graphing by Plotting Points and Finding Intercepts
4.3 The Slope of a Line
4.4 The Slope-Intercept Form of a Line
4.5 Writing an Equation of a Line
4.6 Introduction to Functions
5 Solving Systems of Linear Equations
5.1 Solving Systems by Graphing
5.2 Solving Systems by Substitution
5.3 Solving Systems by the Elimination Method
Putting It All Together
5.4 Applications of Systems of Two Equations
5.5 Systems of Three Equations and Applications
6 Polynomials
6.1 Review of the Rules of Exponents
6.2 Addition and Subtraction of Polynomials
6.3 Multiplication of Polynomials
6.4 Division of Polynomials
7 Factoring Polynomials
7.1 The Greatest Common Factor and Factoring by Grouping
7.2 Factoring Trinomials of the Form x2+bx+c
7.3 Factoring Trinomials of the Form ax2+bx+c (a≠1)
7.4 Factoring Special Trinomials and Binomials
Putting It All Together
7.5 Solving Quadratic Equations by Factoring
7.6 Applications of Quadratic Equations
8 Rational Expressions
8.1 Simplifying Rational Expressions
8.2 Multiplying and Dividing Rational Expressions
8.3 Finding the Least Common Denominator
8.4 Adding and Subtracting Rational Expressions
Putting It All Together
8.5 Simplifying Complex Fractions
8.6 Solving Rational Equations
8.7 Applications of Rational Equations
9 More Equations and Inequalities
9.1 Solving Absolute Value Equations
9.2 Solving Absolute Value Inequalities
9.3 Solving Linear and Compound Linear Inequalities in Two Variables
9.4 Solving Systems of Linear Equations Using Matrices
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
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
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
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
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
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
A Appendix: Beginning Algebra Review
A1 The Real Number System and Geometry
A2 Variables and Exponents
A3 Linear Equations and Inequalities
A4 Linear Equations in Two Variables and Functions
A5 Solving Systems of Linear Equations
A6 Polynomials
A7 Factoring Polynomials
A8 Rational Expressions