Fundamentals of Algebra to ensure success in college mathematics. Linear equations, graphing, systems of linear equations, linear inequalities and absolute value, exponential and logarithmic functions, matrices.
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Chapter 1 - Equations, Inequalities, Problem Solving
- Introduction
- 1.1 – Simplifying Algebraic Expressions
- 1.1 – Homework
- 1.1 – Quiz
- 1.1 – Additional Problems
- 1.2 – The Addition Principle of Equations
- 1.2 – Homework
- 1.2 – Quiz
- 1.2 – Additional Problems
- 1.3 – The Multiplication Principle of Equations
- 1.3 – Homework
- 1.3 – Quiz
- 1.3 – Additional Problems
- 1.4 – Solving Linear Equations
- 1.4 – Homework
- 1.4 – Quiz
- 1.4 – Additional Problems
- 1.5 – Problem Solving
- 1.5 – Homework
- 1.5 – Quiz
- 1.5 – Additional Problems
- 1.6 – Formulas
- 1.6 – Homework
- 1.6 – Quiz
- 1.6 – Additional Problems
- 1.7 – Percents
- 1.7 – Homework
- 1.7 – Quiz
- 1.7 – Additional Problems
- 1.8 – Problems Involving Two Unknowns
- 1.8 – Homework
- 1.8 – Quiz
- 1.8 – Additional Problems
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Chapter 2 - Linear Inequalities and Absolute Value
- 2.1 – Linear Inequalities in One Variable
- 2.1 – Homework
- 2.1 – Quiz
- 2.1 – Additional Problems
- 2.2 – Applications of Linear Inequalities
- 2.2 – Homework
- 2.2 – Quiz
- 2.2 – Additional Problems
- 2.3 – Sets and Compound Inequalities
- 2.3 – Homework
- 2.3 – Quiz
- 2.3 – Additional Problems
- 2.4 – Equations with Absolute Values
- 2.4 – Homework
- 2.4 – Quiz
- 2.4 – Additional Problems
- 2.5 – Absolute Value Inequalities
- 2.5 – Homework
- 2.5 – Quiz
- 2.5 – Additional Problems
- 2.6 – Functions
- 2.6 – Homework
- 2.6 – Quiz
- 2.6 – Additional Problems
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Chapter 3 - Linear Equations with Two Variables
- 3.1 – Graphs and the Rectangular Coordinate system
- 3.1 – Homework
- 3.1 – Quiz
- 3.1 – Additional Problems
- 3.2 – Graphing Linear Equations
- 3.2 – Homework
- 3.2 – Quiz
- 3.2 – Additional Problems
- 3.3 – Graphing Using Intercepts
- 3.3 – Homework
- 3.3 – Quiz
- 3.3 – Additional Problems
- 3.4 – Slope and Rate of Change
- 3.4 – Homework
- 3.4 – Quiz
- 3.4 – Additional Problems
- 3.5 – Equations of Lines
- 3.5 – Homework
- 3.5 – Quiz
- 3.5 – Additional Problems
- 3.6 – Approximate Linear Relationships
- 3.6 – Homework
- 3.6 – Quiz
- 3.6 – Additional Problems
- 3.7 – Graphing Linear Inequalities of Two Variables
- 3.7 – Homework
- 3.7 – Quiz
- 3.7 – Additional Problems
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Chapter 4 - Systems of Linear Equations
- 4.1 – Solving a 2×2 System by Graphing
- 4.1 – Homework
- 4.1 – Quiz
- 4.1 – Additional Problems
- 4.2 – Solving a 2×2 System by Substitution
- 4.2 – Homework
- 4.2 – Quiz
- 4.2 – Additional Problems
- 4.3 – Addition/Elimination Method
- 4.3 – Homework
- 4.3 – Quiz
- 4.3 – Additional Problems
- 4.4 – Applications of Systems of Equations
- 4.4 – Homework
- 4.4 – Quiz
- 4.4 – Additional Problems
- 4.5 – Solving Systems using Matrices
- 4.5 – Homework
- 4.5 – Quiz
- 4.5 – Additional Problems
- 4.6 – Graphing Systems of Linear Inequalities in Two Variables
- 4.6 – Homework
- 4.6 – Quiz
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Chapter 5 - Exponents, Radicals and Polynomials
- 5.1 – Exponent Properties
- 5.1 – Homework
- 5.1 – Quiz
- 5.2 – Scientific Notation
- 5.2 – Homework
- 5.2 – Quiz
- 5.2 – Additional Problems
- 5.3 – Radicals
- 5.3 – Homework
- 5.3 – Quiz
- 5.3 – Additional Problems
- 5.4 – Simplifying Radicals
- 5.4 – Homework
- 5.4 – Quiz
- 5.4 – Additional Problems
- 5.5 – Problem Solving using Radical Equations
- 5.5 – Homework
- 5.5 – Quiz
- 5.5 – Additional Problems
- 5.6 – Polynomials
- 5.6 – Homework
- 5.6 – Quiz
- 5.6 – Additional Problems
- 5.7 – Factoring Polynomials
- 5.7 – Homework
- 5.7 – Quiz
- 5.7 – Additional Problems
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Chapter 6 - Exponential and Logarithmic Functions
- 6.1 – Exponential Functions
- 6.1 – Homework
- 6.1 – Quiz
- 6.1 – Additional Problems
- 6.2 – Applications of Exponential Functions
- 6.2 – Homework
- 6.2 – Quiz
- 6.2 – Additional Problems
- 6.3 – Logarithmic Functions
- 6.3 – Homework
- 6.3 – Quiz
- 6.3 – Additional Problems
- 6.4 – Common Logarithms
- 6.4 – Homework
- 6.4 – Quiz
- 6.5 – Natural Logarithms
- 6.5 – Homework
- 6.5 – Quiz
- 6.6 – Solving Exponential Equations
- 6.6 – Homework
- 6.6 – Quiz
- 6.6 – Additional Problems
- 6.7 – Solving Logarithmic Equations
- 6.7 – Homework
- 6.7 – Quiz
- 6.7 – Additional Problems
- 6.8 – Applications of Logarithmic Functions
- 6.8 – Homework
- 6.8 – Quiz
- 6.8 – Additional Problems
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