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1
Introduction to Algebra: Using Variables
2
Basic Number Properties for Algebra
3
Algebraic Equations and Their Solutions
4
Algebraic Equations With Variables on Both Sides
5
Algebraic Word Problems
6
Solving Algebraic Inequalities
7
Square Roots, Cube Roots, and Other Roots
8
Simplifying Expressions With Roots and Exponents
9
Solving Algebraic Equations With Roots and Exponents
10
Introduction to Polynomials
11
Adding and Subtracting Polynomials
12
Multiplying Binomials by the FOIL Method
13
Solving Quadratics by Factoring
14
Solving Quadratics by Completing the Square
15
Solving Quadratics by Using the Quadratic Formula
16
Solving Higher-Degree Polynomials by Synthetic Division and the Rational Roots Test
17
Manipulating Rational Expressions: Simplification and Operations
18
Graphing in Algebra: Ordered Pairs and the Coordinate Plane
19
Graphing Lines in Algebra: Understanding Slopes and Y-Intercepts
20
Graphing Lines in Slope-Intercept Form (y = mx + b)
21
Graphing Lines in Standard Form (ax + by = c)
22
Graphing Parallel and Perpendicular Lines
23
Solving Systems of Two Equations and Two Unknowns: Graphing, Substitution, and Elimination
24
Absolute Values: Defining, Calculating, and Graphing
25
What are the Types of Numbers? Real vs. Imaginary, Rational vs. Irrational
26
Back to Algebra: What are Functions?
27
Manipulating Functions Algebraically and Evaluating Composite Functions
28
Graphing Algebraic Functions: Domain and Range, Maxima and Minima
29
Transforming Algebraic Functions: Shifting, Stretching, and Reflecting
30
Continuous, Discontinuous, and Piecewise Functions
31
Inverse Functions
32
The Distance Formula: Finding the Distance Between Two Points
33
Graphing Conic Sections Part 1: Circles
34
Graphing Conic Sections Part 2: Ellipses
35
Graphing Conic Sections Part 3: Parabolas in Standard Form
36
Graphing Conic Sections Part 4: Hyperbolas
37
Graphing Higher-Degree Polynomials: The Leading Coefficient Test and Finding Zeros
38
Graphing Rational Functions and Their Asymptotes
39
Solving and Graphing Polynomial and Rational Inequalities
40
Evaluating and Graphing Exponential Functions
41
Logarithms Part 1: Evaluation of Logs and Graphing Logarithmic Functions
42
Logarithms Part 2: Base Ten Logs, Natural Logs, and the Change-Of-Base Property
43
Logarithms Part 3: Properties of Logs, Expanding Logarithmic Expressions
44
Solving Exponential and Logarithmic Equations
45
Complex Numbers: Operations, Complex Conjugates, and the Linear Factorization Theorem
46
Set Theory: Types of Sets, Unions and Intersections
47
Sequences, Factorials, and Summation Notation
48
Theoretical Probability, Permutations and Combinations
Description:
Dive into a comprehensive 6-hour video series covering essential topics in Algebra 1 and 2. Learn to manipulate variables, solve equations and inequalities, work with polynomials, graph functions, and explore advanced concepts like conic sections, logarithms, and complex numbers. Master fundamental algebraic skills through clear explanations of topics ranging from basic number properties to theoretical probability, preparing you for success in your algebra studies and beyond.

Algebra 1 and 2

Professor Dave Explains
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#Mathematics #Algebra #Set Theory #Polynomials #Statistics & Probability #Probability #Complex Numbers #Inequality #Exponential Functions #Logarithms
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Introduction to Algebra: Using Variables