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College Algebra Syllabus and Study Guide

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Linear Equations

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

Two Variable Systems of Linear Equations

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

Algebraic Expressions

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

Intro to Functions & Their Graphs

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

Common Functions

  • Graphs of Common Functions
    5:57

Exponents

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

Rational Exponents

  • Rational Exponents
    04:06

Radical Expressions

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

Simplifying Radical Expressions

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

Rationalize Denominator

  • Rationalizing Denominators Using Conjugates
    03:42
  • Rationalizing Denominators
    02:58

Introduction to Exponential Functions

  • Exponential Functions
    6:13

Introduction to Logarithms

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

Properties of Logarithms

  • Change of Base Property
    5:36
  • Product, Quotient, and Power Rules of Logs
    3:49
  • Expand & Condense Log Expressions
    4:22

Solving Exponential and Logarithmic Equations

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

Polynomials Intro

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

Multiplying Polynomials

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

Factoring Polynomials

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

Dividing Polynomials

    Zeros of Polynomial Functions

      Understanding Polynomial Functions

      • Introduction to Polynomial Functions
        06:04
      • Maximum Turning Points of a Polynomial Function
        02:44
      • Finding Zeros & Their Multiplicity
        03:42

      Graphing Polynomial Functions

      • Example 1
        09:43
      • Identifying Intervals of Unknown Behavior
        05:01
      • Graphing Polynomial Functions
        05:25

      Intro to Quadratic Equations

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

      The Square Root Property

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

      Completing the Square

      • Solving Quadratic Equations by Completing the Square
        06:24

      The Quadratic Formula

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

      Choosing a Method to Solve Quadratics

      • Choosing a Method to Solve Quadratics
        04:03

      Quadratic Functions

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