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Introductory & Intermediate Algebra

Chapter 1:   Real Numbers

Click to Expand/Collapse! 1.1a The Real Number Line and Inequalities
Click to Expand/Collapse! 1.1b Introduction to Absolute Values
Click to Expand/Collapse! 1.2 Addition with Real Numbers
Click to Expand/Collapse! 1.3 Subtraction with Real Numbers
Click to Expand/Collapse! 1.4 Multiplication and Division with Real Numbers
Click to Expand/Collapse! 1.5 Exponents, Prime Numbers, and LCM
Click to Expand/Collapse! 1.6a Reduction of Positive and Negative Fractions
Click to Expand/Collapse! 1.6b Multiplying and Dividing Fractions
Click to Expand/Collapse! 1.7 Addition and Subtraction with Fractions
Click to Expand/Collapse! 1.8 Order of Operations
Click to Expand/Collapse! 1.9 Properties of Real Numbers

Chapter 2:   Algebraic Expressions, Linear Equations, and Applications

Click to Expand/Collapse! 2.1a Variables and Algebraic Expressions
Click to Expand/Collapse! 2.1b Simplifying Expressions
Click to Expand/Collapse! 2.1c Evaluating Algebraic Expressions
Click to Expand/Collapse! 2.2 Translating Phrases into Algebraic Expressions
Click to Expand/Collapse! 2.3a Solving Linear Equations Using Addition and Subtraction
Click to Expand/Collapse! 2.3b Solving Linear Equations Using Multiplication and Division
Click to Expand/Collapse! 2.4 Solving Linear Equations
Click to Expand/Collapse! 2.5 More Linear Equations: ax + b = cx + d
Click to Expand/Collapse! 2.6a Applications: Number Problems and Consecutive Integers
Click to Expand/Collapse! 2.6b Applications of Linear Equations: Addition and Subtraction
Click to Expand/Collapse! 2.6c Applications of Linear Equations: Multiplication and Division
Click to Expand/Collapse! 2.7 Percents and Applications

Chapter 3:   Formulas and Linear Inequalities

Click to Expand/Collapse! 3.1 Working with Formulas
Click to Expand/Collapse! 3.2 Formulas in Geometry
Click to Expand/Collapse! 3.3 Applications
Click to Expand/Collapse! 3.4 Solving Linear Inequalities
Click to Expand/Collapse! 3.5a Solving Absolute Value Equations
Click to Expand/Collapse! 3.5b Solving Absolute Value Inequalities

Chapter 4:   Linear Equations and Functions

Click to Expand/Collapse! 4.1 Introduction to the Cartesian Coordinate System
Click to Expand/Collapse! 4.2 Graphing Linear Equations by Plotting Points
Click to Expand/Collapse! 4.3 Graphing Linear Equations in Slope-Intercept Form
Click to Expand/Collapse! 4.4a Finding the Equation of a Line
Click to Expand/Collapse! 4.4b Graphing Linear Equations in Point-Slope Form
Click to Expand/Collapse! 4.5 Introduction to Functions and Function Notation
Click to Expand/Collapse! 4.6 Graphing Linear Inequalities

Chapter 5:   Exponents and Polynomials

Click to Expand/Collapse! 5.1 Simplifying Integer Exponents I
Click to Expand/Collapse! 5.2a Simplifying Integer Exponents II
Click to Expand/Collapse! 5.2b Scientific Notation
Click to Expand/Collapse! 5.3 Identifying and Evaluating Polynomials
Click to Expand/Collapse! 5.4 Adding and Subtracting Polynomials
Click to Expand/Collapse! 5.5 Multiplying Polynomials
Click to Expand/Collapse! 5.6a The FOIL Method
Click to Expand/Collapse! 5.6b Special Products
Click to Expand/Collapse! 5.7a Division by a Monomial
Click to Expand/Collapse! 5.7b The Division Algorithm

Chapter 6:   Factoring Polynomials and Solving Quadratic Equations

Click to Expand/Collapse! 6.1a Greatest Common Factor of Two or More Terms
Click to Expand/Collapse! 6.1b Greatest Common Factor of a Polynomial
Click to Expand/Collapse! 6.1c Factoring Expressions by Grouping
Click to Expand/Collapse! 6.2 Factoring Trinomials: Leading Coefficient 1
Click to Expand/Collapse! 6.3a Factoring Trinomials by Trial and Error
Click to Expand/Collapse! 6.3b Factoring Trinomials by Grouping
Click to Expand/Collapse! 6.4a Special Factorizations - Squares
Click to Expand/Collapse! 6.4b Special Factorizations - Cubes
Click to Expand/Collapse! 6.5 Additional Factoring Practice
Click to Expand/Collapse! 6.6 Solving Quadratic Equations by Factoring
Click to Expand/Collapse! 6.7 Applications of Quadratic Equations

Chapter 7:   Rational Expressions

Click to Expand/Collapse! 7.1a Defining Rational Expressions
Click to Expand/Collapse! 7.1b Multiplication and Division with Rational Expressions
Click to Expand/Collapse! 7.2 Addition and Subtraction with Rational Expressions
Click to Expand/Collapse! 7.3 Complex Fractions
Click to Expand/Collapse! 7.4a Solving Equations: Ratios and Proportions
Click to Expand/Collapse! 7.4b Solving Equations with Rational Expressions
Click to Expand/Collapse! 7.5 Applications Involving Rational Expressions
Click to Expand/Collapse! 7.6 Applications: Variation

Chapter 8:   Systems of Linear Equations

Click to Expand/Collapse! 8.1 Solving Systems of Linear Equations by Graphing
Click to Expand/Collapse! 8.2 Solving Systems of Linear Equations by Substitution
Click to Expand/Collapse! 8.3 Solving Systems of Linear Equations by Addition
Click to Expand/Collapse! 8.4 Applications: Distance - Rate - Time, Number Problems, Amounts and Costs
Click to Expand/Collapse! 8.5 Applications: Interest and Mixture
Click to Expand/Collapse! 8.6 Solving Systems of Linear Equations with Three Variables
Click to Expand/Collapse! 8.7 Matrices and Gaussian Elimination
Click to Expand/Collapse! 8.8 Systems of Linear Inequalities

Chapter 9:   Roots, Radicals, and Complex Numbers

Click to Expand/Collapse! 9.1 Evaluating Radicals
Click to Expand/Collapse! 9.2 Simplifying Radicals
Click to Expand/Collapse! 9.3 Rational Exponents
Click to Expand/Collapse! 9.4a Addition and Subtraction of Radicals
Click to Expand/Collapse! 9.4b Multiplication of Radicals
Click to Expand/Collapse! 9.4c Division of Radicals
Click to Expand/Collapse! 9.5 Solving Radical Equations
Click to Expand/Collapse! 9.6 Functions with Radicals
Click to Expand/Collapse! 9.7 Complex Numbers
Click to Expand/Collapse! 9.8 Multiplication and Division with Complex Numbers

Chapter 10:   Quadratic Equations

Click to Expand/Collapse! 10.1a Quadratic Equations: The Square Root Method
Click to Expand/Collapse! 10.1b Quadratic Equations: Completing the Square
Click to Expand/Collapse! 10.2 Quadratic Equations: The Quadratic Formula
Click to Expand/Collapse! 10.3 Applications: Quadratic Equations
Click to Expand/Collapse! 10.4 Equations in Quadratic Form
Click to Expand/Collapse! 10.5 Graphing Parabolas
Click to Expand/Collapse! 10.6a Solving Quadratic Inequalities
Click to Expand/Collapse! 10.6b Solving Inequalities with Rational Expressions

Chapter 11:   Exponential and Logarithmic Functions

Click to Expand/Collapse! 11.1 Algebra of Functions
Click to Expand/Collapse! 11.2 Composition of Functions and Inverse Functions
Click to Expand/Collapse! 11.3 Exponential Functions and the Number e
Click to Expand/Collapse! 11.4 Logarithmic Functions
Click to Expand/Collapse! 11.5 Properties of Logarithmic Functions
Click to Expand/Collapse! 11.6 Common Logarithms and Natural Logarithms
Click to Expand/Collapse! 11.7 Exponential and Logarithmic Equations
Click to Expand/Collapse! 11.8 Applications: Exponential and Logarithmic Functions

Chapter 12:   Conic Sections

Chapter 13:   Sequences, Series and the Binomial Theorem

Appendix

Click to Expand/Collapse! A.1a Decimals and Fractions
Click to Expand/Collapse! A.1bDecimals and Rounding
Click to Expand/Collapse! A.2 Synthetic Division
Click to Expand/Collapse! A.3 Using a Graphing Calculator to Solve Equations
Click to Expand/Collapse! A.4 Determinants
Click to Expand/Collapse! A.5 Determinants and Systems of Linear Equations: Cramer's Rule
Click to Expand/Collapse! A.6 Permutations
Click to Expand/Collapse! A.7 Combinations
Click to Expand/Collapse! A.8 Review: Solving Systems of Linear Equations - Two Variables
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