The Basics | |
Notation and Symbols | |
Real Numbers | |
Addition of Real Numbers | |
Subtraction of Real Numbers | |
Properties of Real Numbers | |
Multiplication of Real Numbers | |
Division of Real Numbers | |
Subsets of Real Numbers | |
Addition and Subtraction with Fractions | |
Summary | |
Review/Test | |
Projects | |
Linear Equations and Inequalities | |
Simplifying Expressions | |
Addition Property of Equality | |
Multiplication Property of Equality | |
Solving Linear Equations | |
Formulas | |
Applications | |
More Applications | |
Linear Inequalities | |
Summary | |
Review/Test | |
Projects | |
Linear Equations and Inequalities in two Variables | |
Paired Data and Graphing Ordered Pairs | |
Solutions to Linear Equations in Two Variables | |
Graphing Linear Equations in Two Variables | |
More on Graphing: Intercepts | |
Slope and the Equation of a Line | |
Solving Linear Systems by Graphing | |
The Elimination Method | |
The Substitution Method | |
Applications | |
Summary | |
Review/Test | |
Projects | |
Exponents and Polynomials | |
Multiplication with Exponents | |
Division with Exponents | |
Operations with Monomials | |
Addition and Subtraction of Polynomials | |
Multiplication with Polynomials | |
Binomial Squares and Other Special Products | |
Dividing a Polynomial by a Monomial | |
Dividing a Polynomial by a Polynomial | |
Summary | |
Review/Test | |
Projects | |
Factoring | |
The Greatest Common Factor and Factoring by Grouping | |
Factoring Trinomials | |
More Trinomials to Factor | |
The Difference of Two Squares | |
The Sum and Difference of Two Squares | |
Factoring: A General Review | |
Solving Equations by Factoring | |
Applications | |
Summary | |
Review/Test | |
Projects | |
Rational Expressions | |
Reducing Rational Expressions to Lowest Terms | |
Multiplication and Division of Rational Expressions | |
Addition and Subtraction of Rational Expressions | |
Equations Involving Rational Expressions | |
Applications | |
Complex Fractions | |
Proportions | |
Summary | |
Review/Test | |
Projects | |
Transitions | |
Review of Solving Equations | |
Equations with Absolute Value | |
Compound Inequalities and Interval Notation | |
Inequalities Involving Absolute Value | |
Review of Systems of Equations in Two Variables | |
Systems of Equations in Three Variables | |
Systems of Linear Inequalities | |
Summary | |
Review/Test | |
Projects | |
Equations and Functions | |
The Slope of a Line | |
The Equation of a Line | |
Introduction to Functions | |
Function Notation | |
Algebra and Composition with Functions | |
Variation | |
Summary | |
Review/Test | |
Projects | |
Rational Exponents and Roots | |
Rational Exponents | |
More Expressions Involving Rational Exponents | |
Simplified Form for Radicals | |
Addition and Subtraction of Radical Expressions | |
Multiplication and Division of Radical Expressions | |
Equations with Radicals | |
Complex Numbers | |
Summary | |
Review/Test | |
Projects | |
Quadratic Functions | |
Completing the Square | |
The Quadratic Formula | |
Additional Items Involving Solutions to Equations | |
Equations Quadratic in Form | |
Graphing Parabolas | |
Quadratic Inequalities | |
Summary | |
Review/Test | |
Projects | |
Exponential and Logarithmic Functions | |
Exponential Functions | |
The Inverse of a Function | |
Logarithms are Exponents | |
Properties of Logarithms | |
Common Logarithms and Natural Logarithms | |
Exponential Equations and Change of Base | |
Summary | |
Review/Test | |
Projects | |
Conic Sections | |
The Circle | |
Ellipses and Hyperbolas | |
Second-Degree Inequalities and Nonlinear Systems | |
Summary | |
Review/Test | |
Projects | |
Sequences and Series | |
Sequences | |
Series | |
Arithmetic Sequences | |
Geometric Sequences | |
The Binomial Expansion | |
Summary | |
Review/Test | |
Projects | |
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