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Table of Contents
Table of Contents
1. Review of Real Numbers
1.1 Integers, Opposites, and Absolute Values
1.2 Operations with Integers
1.3 Fractions
1.4 Operations with Fractions
1.5 Decimals and Percents
1.6 Representing Data Graphically
1.7 Exponents and Order of Operations
1.8 Introduction to Algebra
2. Linear Equations
2.1 Introduction to Linear Equations
2.2 Solving Linear Equations; A General Strategy
2.3 Problem Solving; Applications of Linear Equations
2.4 Applications Involving Percentages; Ratio and Proportion
2.5 Linear Inequalities
3. Graphing Linear Equations
3.1 The Rectangular Coordinate System; Equations in Two Variables
3.2 Graphing Linear Equations and Their Intercepts
3.3 Slope of a Line
3.4 Linear Functions
3.5 Parallel and Perpendicular Lines
3.6 Equations of Lines
3.7 Linear Inequalities
4. Systems of Equations
4.1 Systems of Linear Equations; Solving Systems Graphically
4.2 The Substitution Method for Solving Systems of Equations
4.3 Solving Systems of Equations by the Addition Method
4.4 Applications of Systems of Equations
4.5 Systems of Linear Inequalities
5. Exponents and Polynomials
5.1 Exponents
5.2 Negative Exponents and Scientific Notation
5.3 Polynomials; Addition and Subtraction of Polynomials
5.4 Multiplying Polynomials
5.5 Division of Polynomials
6. Factoring and Quadratic Equations
6.1 An Introduction to Factoring: The Greatest Common Factor, Factoring by Grouping
6.2 Factoring Trinomials of the Form x2 + bx + c
6.3 Factoring Trinomials of the Form ax2 + bx + c
6.4 Factoring Special Binomials
6.5 Factoring Polynomials: A General Strategy
6.6 Solving Quadratic Equations by Factoring
6.7 Quadratic Functions
6.8 Applications of Quadratic Equations and Quadratic Functions
7. Rational Expressions and Equations
7.1 Rational Expressions and Functions
7.2 Multiplication and Division of Rational Expressions
7.3 Addition and Subtraction of Rational Expressions
with the Same Denominator
7.4 Addition and Subtraction of Rational Expressions
with Unlike Denominators
7.5 Complex Fractions; Simplifying Rational Expressions
7.6 Rational Equations
7.7 Applications of Rational Equations
8. Transition
8.1 Linear Equations and Absolute Value Equations
8.2 Linear Inequalities and Absolute Value Inequalities
8.3 Graphing Linear Equations and Functions; Graphing Absolute Value Functions
8.4 Review of Factoring, Quadratic Equations and Rational Equations
8.5 Systems of Equations (Two Equations in Two Unknowns, Three Equations in Three Unknowns)
9. Radical Expressions and Equations
9.1 Square Roots, Radical Notation
9.2 Rational Exponents
9.3 Simplifying Radical Expressions; Adding and Subtracting Radical Expressions
9.4 Multiplication and Division of Radical Expressions
9.5 Radical Equations
9.6 Applications of Radical Equations
9.7 The Complex Numbers
10. Quadratic Equations
10.1 Solving Quadratic Equations by Extracting Square Roots;
Completing the Square
10.2 Quadratic Formula
10.3 Applications of Quadratic Equations
10.4 Equations that are Quadratic in Form
10.5 Graphing Quadratic Equations and Quadratic Functions
10.6 Quadratic and Rational Inequalities
11. Functions
11.1 General Introduction to Functions
11.2 Linear Functions
11.3 Quadratic Functions
11.4 Other Functions and Their Graphs
11.5 Algebra of Functions
11.6 Inverse Functions
12. Logarithmic and Exponential Functions
12.1 Exponential Functions
12.2 Logarithmic Functions
12.3 Properties of Logarithms
12.4 Exponential and Logarithmic Equations
12.5 Applications of Exponential and Logarithmic Functions
12.6 Graphing Exponential and Logarithmic Functions
13. Conic Sections
13.1 Parabolas
13.2 Circles
13.3 Ellipses
13.4 Hyperbolas
13.5 Nonlinear Systems of Equations
14. Sequences, Series, and the Binomial Theorem
14.1 Sequences and Series
14.2 Arithmetic Sequences and Series
14.3 Geometric Sequences and Series
14.4 The Binomial Theorem
Appendixes
A1. Synthetic Division
A2. Systems of Equations and Matrices
Get Elementary and Intermediate Algebra by George Woodbury, College of the Sequoias
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