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Beginning & Intermediate Algebra with POWER Learning
Chapter 1 The Real Number System and Geometry
1.1 Review of Fractions
1.2 Exponents and Order of Operations
1.3 Geometry Review
1.4 Sets of Numbers and Absolute Value
1.5 Addition and Subtraction of Real Numbers
1.6 Multiplication and Division of Real Numbers
1.7 Algebraic Expressions and Properties of Real Numbers
Chapter 2 Rules of Exponents
2.1A Basic Rules of Exponents: The Product Rule and Power Rules
2.1B Basic Rules of Exponents: Combining the Rules
2.2A Integer Exponents: Real-Number Bases
2.2B Integer Exponents: Variable Bases
2.3 The Quotient Rule
2.4 Scientific Notation
Chapter 3 Linear Equations and Inequalities in One Variable
3.1 Solving Linear Equations Part I
3.2 Solving Linear Equations Part II
3.3 Applications of Linear Equations
3.4 Applications Involving Percents
3.5 Geometry Applications and Solving Formulas
3.6 Applications of Linear Equations to Proportions, Money Problems, and d=rt
3.7 Linear Inequalities in One Variable
3.8 Compound Inequalities in One Variable
Chapter 4 Linear Equations in Two Variables and Functions
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
Chapter 5 Solving Systems of Linear Equations
5.1 Solving Systems by Graphing
5.2 Solving Systems by the Substitution Method
5.3 Solving Systems by the Elimination Method
5.4 Applications of Systems of Two Equations
5.5 Solving Systems of Three Equations and Applications
5.6 Solving Systems of Linear Equations Using Matrices
Chapter 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
Chapter 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
7.5 Solving Quadratic Equations by Factoring
7.6 Applications of Quadratic Equations
Chapter 8 Rational Expressions
8.1 Rational Expressions and Functions
8.2 Multiplying and Dividing Rational Expressions
8.3 Finding the Least Common Denominator
8.4 Adding and Subtracting Rational Expressions
8.5 Simplifying Complex Fractions
8.6 Solving Rational Equations
8.7 Applications of Rational Equations
8.8 Variation
Chapter 9 More Equations and Inequalities
9.1 Absolute Value Equations
9.2 Absolute Value Inequalities
9.3 Linear and Compound Linear Inequalities in Two Variables
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
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
11.4 Equations in Quadratic Form
11.5 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 Quadratic and Rational Inequalities
12.6 The Algebra of Functions
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 Systems, and Nonlinear Inequalities
14.1 The Circle
14.2 The Ellipse and the Hyperbola
14.3 Nonlinear Systems of Equations
14.4 Second-Degree Inequalities and Systems of 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 A Prealgebra Topics (online only)
Appendix B Beginning Algebra Review (online only)
Appendix C Additional Topics (online only)
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