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Chapter
1: Number Systems and Fundamental Concepts of Algebra |
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|
| 1.1 |
The Real Number System |
| 1.2 |
The Arithmetic of Algebraic
Expressions |
| 1.3a |
Properties of Exponents |
| 1.3b |
Scientific Notation and Geometric
Problems Using Exponents |
| 1.4a |
Properties of Radicals |
| 1.4b |
Rational Number Exponents |
| 1.5 |
Polynomials and Factoring |
| 1.6 |
The Complex Number System |
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Chapter 2: Equations and Inequalities of One Variable |
|
|
| 2.1a |
Linear Equations in One Variable |
| 2.1b |
Applications of Linear Equations
in One Variable |
| 2.2 |
Linear Inequalities in One Variable |
| 2.3 |
Quadratic Equations in One Variable |
| 2.4 |
Higher Degree Polynomial Equations |
| 2.5 |
Rational Expressions and Equations |
| 2.6 |
Radical Equations |
| |
Chapter 3: Linear Equations and Inequalities of
Two Variables |
|
|
| 3.1 |
The Cartesian Coordinate System |
| 3.2 |
Linear Equations in Two Variables |
| 3.3 |
Forms of Linear Equations |
| 3.4 |
Parallel and Perpendicular Lines |
| 3.5 |
Linear Inequalities in Two Variables |
| 3.6 |
Introduction to Circles |
| |
Chapter 4: Relations, Functions, and their Graphs |
|
|
| 4.1 |
Relations and Functions |
| 4.2a |
Linear and Quadratic Functions |
| 4.2b |
Max/Min Applications of Quadratic Functions |
| 4.3a |
Other Common Functions |
| 4.3b |
Direct and Inverse Variation |
| 4.4 |
Transformations of Functions |
| 4.5 |
Combining Functions |
| 4.6 |
Inverses of Functions |
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Chapter 5: Polynomial Functions |
|
|
| 5.1 |
Introduction to
Polynomial Equations and Graphs |
| 5.2 |
Polynomial Division
and the Division Algorithm |
| 5.3 |
Locating Real Zeros
of Polynomials |
| 5.4 |
The Fundamental
Theorem of Algebra |
| |
Chapter
6: Rational Functions and Conic
Sections |
|
|
| 6.1 |
Rational
Functions and Rational Inequalities |
| 6.2 |
The Ellipse |
| 6.3 |
The Parabola |
| 6.4 |
The Hyperbola |
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