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Justin Math: Algebra is the first book in a fast-paced course that covers the foundations of high school and college math. It is intended to provide accelerated students with the necessary background to excel in courses beyond their grade level and work on nontrivial research projects.CONTENTS1. LINEAR EQUATIONS AND SYSTEMS - Solving Linear Equations, Slope-Intercept Form, Point-Slope Form, Standard Form, Linear Systems.2. QUADRATIC EQUATIONS - Standard Form, Factoring, Quadratic Formula, Completing the Square, Vertex Form, Quadratic Systems.3. INEQUALITIES - Linear Inequalities in the Number Line, Linear Inequalities in the Plane, Quadratic Inequalities, Systems of Inequalities.4. POLYNOMIALS - Standard Form and End Behavior, Zeros, Rational Roots and Synthetic Division, Sketching Graphs.5. RATIONAL FUNCTIONS - Polynomial Long Division, Horizontal Asymptotes, Vertical Asymptotes, Graphing with Horizontal and Vertical Asymptotes, Graphing with Slant and Polynomial Asymptotes.6. NON-POLYNOMIAL FUNCTIONS - Radial Functions, Exponential and Logarithmic Functions, Absolute Value, Trigonometric Functions, Piecewise Functions.7. TRANSFORMATIONS OF FUNCTIONS - Shifts, Rescalings, Reflections, Inverse Functions, Compositions.