Algebra I
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Preface[edit  edit source]
Algebra is the branch of mathematics concerning the study of the rules of operations and relations, and the constructions and concepts arising from them, including terms, polynomials, equations, and algebraic structures.
You've been asked to buy popcorn for you and your friends at the movies. You have $17.70. One bag is $3.25. You want to know how many bags you can buy. This is an algebra problem! Related problems are how much money will be left over, and what should you buy or in what proportions should you return the extra money to your friends.
Algebra helps us to predict things that we don't yet know and to determine the relationships between the things we do. Algebra is a powerful and rich branch of mathematics that is useful in everyday life as well as business, engineering, and other technical fields.
Contents[edit  edit source]
Introduction to Mathematics[edit  edit source]
Chapter I: Foundations of Algebra[edit  edit source]
 Variables and Expressions
 Order of Operations and Evaluating Expressions
 Real Numbers and the Number Line
 Properties of Real Numbers
 Adding and Subtracting Real Numbers
 Multiplying and Dividing Real Numbers
 The Distributive Property
 An Introduction to Equations
 Patterns, Equations, Graphs
Chapter II: Solving Equations[edit  edit source]
 Solving OneStep Equations
 Solving TwoStep Equations
 Solving MultiStep Equations
 Solving Equations with Variables on Both Sides
 Literal Equations and Formulas
 Ratios, Rates, and Conversions
 Solving Proportions
 Proportions and Similar Figures
 Percents
 Change Expressed as a Percent
Chapter III: Solving Inequalities[edit  edit source]
 Inequalities and Their Graphs
 Solving Inequalities
 Compound Inequalities
 Absolute Value Equations
 Absolute Value Inequalities
Chapter IV: An Introduction to Functions[edit  edit source]
 Graphing Relationships
 Relations and Functions
 Writing Functions
 Function Notation
 Graphing Functions
 Arithmetic Sequences
Chapter V: Linear Functions[edit  edit source]
 Rate of Change and Slope
 SlopeIntercept Form
 PointSlope Form
 Standard Form
 Parallel and Perpindicular Lines
Chapter VI: Systems of Equations[edit  edit source]
 Solving Systems by Graphing
 Solving Systems Using Substitution
 Solving Systems Using Elimination
 Applications of Linear Systems
Chapter VII: Exponents[edit  edit source]
 Zero and Negative Exponents
 Multiplying Powers with the Same Base
 Other Multiplication Properties of Exponents
 Division Properties of Exponents
 Rational Exponents and Radicals
Chapter VIII: Polynomials and Factoring[edit  edit source]
 Adding and Subtracting Polynomials
 Multiplying Polynomials
 Multiplying Binomials
 Multiplying Special Cases
 Exponential Functions\
 Geometric Sequences >Trust me, these three belong here
 Scientific Notation/
 Factoring Using GCF
 Factoring x^2+bx+c
 Factoring ax^2+bx+c
 Factoring Special Cases
Chapter IX: Quadratic Functions and Equations[edit  edit source]
TBA