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Introduction
Activities - Chapter 1
Topic 1.1 - Multiplying Polynomials - the FOIL Method
Topic 1.2 - Factoring
Topic 1.3 - Reducing Fractions
Topic 1.4 - Multiplying and Dividing Fractions
Topic 1.5 - Adding and Subtracting Fractions
Topic 1.6 - Fractions within Fractions
Topic 1.7 - Laws of Exponents
Topic 1.8 - Rational Exponents
Topic 1.9 - Scientific Notation
Topic 1.10 - The Distance Formula
Activities - Chapter 2
Topic 2.1 - Recursion
Topic 2.2 - Sequences
Topic 2.3 - Linear Growth and Arithmetic Sequences
Topic 2.4 - Exponential Growth and Geometric Sequences
Activities - Chapter 3
Topic 3.1 - Functions
Topic 3.2 - Function Notation
Topic 3.3 - The Domain and Range of a Function
Topic 3.4 - Inverse Functions
Topic 3.5 - One-to-One Functions
Topic 3.6 - Inverse Functions - Part II
Topic 3.7 - The Composition of Functions
Topic 3.8 - Piecewise-Defined Functions
Activities - Chapter 4
Topic 4.1 - Solving a Linear Equation in One Variable
Topic 4.2 - Rates of Change
Topic 4.3 - Linear Growth, Recursion, and Slope
Topic 4.4 - The Slope of a Line
Topic 4.5 - Slope-Intercept Form of a Line
Topic 4.6 - Point-Slope Form of a Line
Topic 4.7 - Point-Point Form of a Line
Topic 4.8 - Parallel and Perpendicular Lines
Topic 4.9 - Point-Slope Form of a Line as a Graph Transformation
Topic 4.10 - Equations of Lines
Topic 4.11 - The Absolute Value Function
Topic 4.12 - Solving Absolute Value Equations and Inequalities
Activities - Chapter 5
Topic 5.1 - Graph Transformations
Topic 5.2 - The Degree of a Polynomial
Topic 5.3 - Parabolas
Topic 5.4 - Factor-Root Theorem
Topic 5.5 - Root Form of a Parabola
Topic 5.6 - Optimization Using Parabolas
Topic 5.7 - Completing the Square
Topic 5.9 - Equation of a Circle
Topic 5.10 - General Equation of an Ellipse
Topic 5.11 - General Equation of a Hyperbola
Topic 5.12 - Parametric Equations
Topic 5.13 - Graphing Polynomial Functions
Topic 5.15 - Graphing Rational Functions
Topic 5.16 - Polynomial and Rational Inequalities
Activities - Chapter 6
Topic 6.1 - The Logarithm Function
Topic 6.2 - Properties of Logarithms
Topic 6.3 - Examples Using the Properties of Logarithms
Topic 6.4 - Compounding Interest
Topic 6.5 - Radioactive Decay
Topic 6.6 - Newton's Law of Cooling
Activities – Chapter 7
Mike Weimerskirch
Topic 7.1 – Solving 2×2 Systems of Linear Equations
Topic 7.2 – Solving 3×3 Systems of Linear Equations
Topic 7.3 – Solving Systems of Non-Linear Equations
Activities – Chapter 8
Topic 8.1 – Sequences and Recursion
Topic 8.2 – Sigma Notation
Topic 8.3 – Arithmetic Sequences and Series
Topic 8.4 – Geometric Sequences and Series
Topic 8.5 – Binomial Theorem
Activities - Chapter 9
Topic 10.1 - Introduction to Analytic Geometry
Appendix
Chapter 9 – Math Analysis
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Algebra Copyright © 2022 by Mike Weimerskirch and the University of Minnesota Board of Regents is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License, except where otherwise noted.