Links to Accessible Introductory and Intermediate Algebra Videos by Sue Beck
Chapter 1
1.1a Real Number Line and Inequalities
1.1b Introduction to Absolute Values
1.2 Addition with Integers
1.3 Subtraction with Integers
1.4 Multiplication and Division with Integers
1.5 Exponents, Prime Numbers and LCM
1.6a Reducing Fractions
1.6b Multiplication and Division with Fractions
1.7 Adding and Subtracting with Fractions
1.8 Order of Operations
1.9 Properties of Real Numbers
Chapter 2
2.1a Variables and Algebraic Expressions
2.1b Simplifying Expressions
2.1c Evaluating Algebraic Expressions
2.2 Translating Phrases to Algebraic Expressions
2.3a Solve linear equations using addition and subtraction
2.3b Solving equations using multiplication and division
2.4 Solving linear equations
2.5 More linear equations
2.6a Applications: Number Problems and Consecutive Integers
2.6b Applications of Linear Equations: Addition and Subtraction
2.6c Applications of Linear Equations: Multiplication and Division
2.7 Applications with Percent
Chapter 3
3.1 Working with Formulas
3.2 Formulas in Geometry
3.3 Applications
3.4 Solving Linear Equations
3.5a Absolute Value Equations
3.5b Solving Absolute Value Inequalities
Chapter 4
4.1 Introduction to the Cartesian Coordinate System
4.2 Graphing Linear Equations by Plotting Points, Part 1
4.2 Graphing Linear Equations by Plotting Points, Part 2
4.3 Graphing Linear Equations in Slope Intercept Form
4.4a Finding the Equation of a Line
4.4b Graphing Linear Equations in Point-Slope Form, Part 1
4.4b Graphing Linear Equations in Point-Slope Form, Part 2
4.5 Introduction to Functions and Function Notation
4.6 Graphing Linear Inequalities
Chapter 5
5.1 Simplifying Integers I
5.2a Simplifying Integer Exponents II
5.2b Scientific Notation
5.3 Identifying and Evaluating Polynomials
5.4 Adding and Subtracting Polynomials
5.5 Multiplying Polynomials
5.6a The Foil Method
5.6b Special Products
5.7a Division by a Monomial
5.7b The Division Algorithm
Chapter 6
6.1a Greatest Common Factor of Two or More Terms
6.1b Greatest Common Factor of a Polynomial
6.1c Factoring Expressions by Grouping
6.2 Factoring Trinomials: Leading Coefficient 1
6.3a Factoring Trinomials by Trial and Error
6.3b Factoring Trinomials by Grouping
6.4a Special Factorizations: Squares
6.4b Special Factorizations: Cubes
6.5 Additional Factoring Practice
6.6 Solving Quadratic Equations by Factoring
6.7 Applications of Quadratic Equations
Chapter 7
7.1a Defining Rational Expressions
7.1b Multiplication and Division with Rational Expressions
7.2 Addition and Subtraction with Rational Expressions
7.3 Complex Fractions
7.4a Solving Equations: Ratios and Proportions
7.4b Solving Equations Involving Rational Expressions
7.5 Applications Involving Rational Expressions, Part 1
7.5 Applications Involving Rational Expressions, Part 2
7.6 Applications: Variation, Part 1
7.6 Applications: Variation, Part 2
Chapter 8
8.1 Solving Systems of Linear Equations by Graphing
8.2 Solving Systems of Linear Equations by Substitution
8.3 Solving Systems of Linear Equations by Addition
8.4 Applications: Distance-Rate-Time, Number Problems, Amounts and Costs
8.5 Applications: Interest and Mixture
8.6 Solving Systems of Equations with Three Variables
8.7 Matrices and Gaussian Elimination
8.8 Systems of Linear Equations, Part 1
8.8 Systems of Linear Equations, Part 2
Chapter 9
9.1 Evaluating Radicals
9.2 Simplifying Radicals
9.3 Rational Expressions
9.4a Addition and Subtraction with Radicals
9.4b Multiplication with Radicals
9.4c Rationalizing Denominators
9.5 Equations with Radicals
9.6 Functions with Radicals
9.7 Complex Numbers
9.8 Multiplication and Division with Complex Numbers
Chapter 10
10.1a Quadratic Equations: The Square Root Method
10.1b Quadratic Equations: Completing the Square
10.2 Quadratic Equations: The Quadratic Formula
10.3 Applications: Quadratic Equations, Part 1
10.3 Applications: Quadratic Equations, Part 2
10.4 Equations in Quadratic Form
10.5 Graphing Parabolas
10.6a Solving Quadratic Inequalities
10.6b Solving Inequalities with Rational Expressions
Chapter 11
11.1 Algebra of Functions
11.2 Compositions of Functions and Inverse Functions
11.3 Exponential Functions, Part 1
11.3 Exponential Functions, Part 2
11.4 Logarithmic Functions
11.5 Properties of Logarithms
11.6 Common Logarithms and Natural Logarithms
11.7 Exponential and Logarithmic Equations
11.8 Applications: Exponential and Logarithmic Functions
Chapter 12
12.1 Translations and Reflections
12.2 Parabolas as Conic Sections
12.3 The Distance Formula and Circles
12.4 Ellipses and Hyperbolas
12.5 Nonlinear Systems of Equations
Chapter 13
13.1 Sequences
13.2 Sigma Notation
13.3 Arithmetic Sequences
13.4 Geometric Sequences
13.5 Binomial Theorem, Part 1
13.5 Binomial Theorem, Part 2
Appendix
A.1a Decimals and Fractions
A.1b More with Decimals
A.2 Synthetic Division
A.3 Using a Graphing Calculator
A.4 Determinants
A.5 Determinants, Systems of Equations, Cramer's Rule
A.6 Permutations
A.7 Combinations
A.8 Review - Solving Systems of Equations: Two Variables