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College Algebra Syllabus & Core Concepts Study Guide

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Algebraic Expressions

  • Percorso guidato
    Evaluating Algebraic Expressions
    03:11
  • Percorso guidato
    Introduction to Algebraic Expressions
    05:09
  • Percorso guidato
    Introduction to College Algebra Channel
    1:51

Exponents

  • Percorso guidato
    Simplifying Exponential Expressions
    6:39
  • Percorso guidato
    Introduction to Exponent Rules
    7:39
  • Percorso guidato
    Zero and Negative Rules
    6:37

Radical Expressions

  • Percorso guidato
    Square Roots
    05:49
  • Percorso guidato
    Nth Roots
    06:56

Simplifying Radical Expressions

  • Percorso guidato
    Adding & Subtracting Like Radicals
    03:50
  • Percorso guidato
    Adding & Subtracting Unlike Radicals by Simplifying
    5:48
  • Percorso guidato
    Radical Expressions with Variables
    06:44

Polynomials Intro

  • Percorso guidato
    Standard Form of Polynomials
    05:16
  • Percorso guidato
    Introduction to Polynomials
    05:13
  • Percorso guidato
    Adding and Subtracting Polynomials
    03:34

Multiplying Polynomials

  • Percorso guidato
    Special Products - Cube Formulas
    03:41
  • Percorso guidato
    Special Products - Square Formulas
    04:14
  • Percorso guidato
    FOIL
    03:07

Factoring Polynomials

  • Percorso guidato
    Factor Using the AC Method When a Is 1
    4:16
  • Percorso guidato
    Factor by Grouping
    04:36
  • Percorso guidato
    Introduction to Factoring Polynomials
    07:30

Linear Equations

  • Percorso guidato
    Solving Linear Equations with Fractions
    04:02
  • Percorso guidato
    Introduction to Solving Linear Equtions
    07:48
  • Percorso guidato
    Categorizing Linear Equations
    06:00

Intro to Quadratic Equations

  • Percorso guidato
    Introduction to Quadratic Equations
    05:35
  • Percorso guidato
    Solving Quadratic Equations by Factoring
    06:08

The Square Root Property

  • Percorso guidato
    Imaginary Roots with the Square Root Property
    02:20
  • Percorso guidato
    Solving Quadratic Equations by the Square Root Property
    06:12

Completing the Square

  • Percorso guidato
    Solving Quadratic Equations by Completing the Square
    06:24

The Quadratic Formula

  • Percorso guidato
    Solving Quadratic Equations Using The Quadratic Formula
    06:36
  • Percorso guidato
    The Discriminant
    04:11

Choosing a Method to Solve Quadratics

  • Percorso guidato
    Choosing a Method to Solve Quadratics
    04:03

Linear Inequalities

  • Percorso guidato
    Interval Notation
    05:18
  • Percorso guidato
    Linear Inequalities with Fractions & Variables on Both Sides
    03:42
  • Percorso guidato
    Linear Inequalities
    06:07

Rational Equations

  • Percorso guidato
    Introduction to Rational Equations
    05:56
  • Percorso guidato
    Restrictions on Rational Equations
    05:21

Intro to Functions & Their Graphs

  • Percorso guidato
    Finding the Domain of an Equation
    3:43
  • Percorso guidato
    Relations & Functions Example 1
    1:30
  • Percorso guidato
    Relations and Functions
    5:20

Quadratic Functions

  • Percorso guidato
    Converting Standard Form to Vertex Form
    04:34
  • Percorso guidato
    Vertex Form
    08:07
  • Percorso guidato
    Example 2
    7:49

Introduction to Exponential Functions

  • Percorso guidato
    Exponential Functions
    6:13

Graphing Exponential Functions

  • Percorso guidato
    Transformations of Exponential Graphs Example 1
    4:12
  • Percorso guidato
    Graphing Exponential Functions Example 1
    3:58
  • Percorso guidato
    Transformations of Exponential Graphs
    6:16

Introduction to Logarithms

  • Percorso guidato
    Evaluate Logarithms
    5:14
  • Percorso guidato
    Logarithms Introduction
    7:30
  • Percorso guidato
    The Natural Log
    2:51

Graphing Logarithmic Functions

  • Percorso guidato
    Graphing Logarithmic Functions
    4:30
  • Percorso guidato
    Transformations of Logarithmic Graphs
    4:37
  • Percorso guidato
    Graphs of Logarithmic Functions
    5:26

Solving Exponential and Logarithmic Equations

  • Percorso guidato
    Solving Exponential Equations Using Logs
    5:47
  • Percorso guidato
    Solving Exponential Equations Using Like Bases
    4:46
  • Percorso guidato
    Solving Logarithmic Equations
    5:02

Two Variable Systems of Linear Equations

  • Percorso guidato
    Example 1
    3:09
  • Percorso guidato
    Solving Systems of Equations - Elimination
    6:48
  • Percorso guidato
    Example 2
    3:31

Introduction to Matrices

  • Percorso guidato
    Performing Row Operations on Matrices
    8:38
  • Percorso guidato
    Example 1
    13:06
  • Percorso guidato
    Solving Systems of Equations - Matrices (Reduced Row-Echelon Form)
    5:58

Determinants and Cramer's Rule

  • Percorso guidato
    Determinants of 3×3 Matrices
    7:25
  • Percorso guidato
    Cramer's Rule - 2 Equations with 2 Unknowns
    6:54
  • Percorso guidato
    Determinants of 2×2 Matrices
    4:36

Introduction to Conic Sections

  • Percorso guidato
    Geometries from Conic Sections
    3:08

Circles

  • Percorso guidato
    Circles in Standard Form
    5:18
  • Percorso guidato
    Circles in General Form
    6:20
  • Percorso guidato
    Circles in Standard Form Example 1
    3:40

Ellipses: Standard Form

  • Percorso guidato
    Graph Ellipses NOT at Origin
    4:50
  • Percorso guidato
    Foci and Vertices of an Ellipse
    5:30
  • Percorso guidato
    Graph Ellipses at Origin
    5:12

Parabolas

  • Percorso guidato
    Parabolas as Conic Sections Example 1
    7:12
  • Percorso guidato
    Horizontal Parabolas
    5:28
  • Percorso guidato
    Horizontal Parabolas Example 1
    7:18

Hyperbolas at the Origin

  • Percorso guidato
    Asymptotes of Hyperbolas
    5:50
  • Percorso guidato
    Graphing Hyperbolas at the Origin Example 1
    3:58
  • Percorso guidato
    Introduction to Hyperbolas
    6:15

Hyperbolas NOT at the Origin

  • Percorso guidato
    Graph Hyperbolas NOT at the Origin
    5:59

Sequences

  • Percorso guidato
    Example 2
    4:19
  • Percorso guidato
    Example 1
    5:52
  • Percorso guidato
    Introduction to Sequences
    8:22

Arithmetic Sequences

  • Percorso guidato
    Example 2
    7:00
  • Percorso guidato
    Example 1
    2:35
  • Percorso guidato
    Arithmetic Sequences - Recursive Formula
    6:40

Geometric Sequences

  • Percorso guidato
    Geometric Sequences - General Formula
    4:45
  • Percorso guidato
    Geometric Sequences - Recursive Formula
    4:18

Factorials

  • Percorso guidato
    Factorials
    5:22

Combinatorics

  • Percorso guidato
    Permutations vs. Combinations
    3:18
  • Percorso guidato
    Fundamental Counting Principle
    4:04
  • Percorso guidato
    Permutations of Non-Distinct Objects
    6:37

Probability

  • Percorso guidato
    Probability of Non-Mutually Exclusive Events Example
    2:57
  • Percorso guidato
    Probability of Multiple Independent Events
    5:54
  • Percorso guidato
    Probability of Non-Mutually Exclusive Events
    5:14