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Comprehensive Study Guide: College Algebra Foundations and Key Topics

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Linear Equations

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

Intro to Functions & Their Graphs

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

Function Operations

  • Guided course
    Adding & Subtracting Functions
    5:56
  • Guided course
    Adding & Subtracting Functions Example 1
    4:46
  • Guided course
    Multiplying & Dividing Functions
    7:24

Quadratic Functions

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

Understanding Polynomial Functions

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

Zeros of Polynomial Functions

    Introduction to Rational Functions

    • Guided course
      Intro to Rational Functions
      6:04

    Asymptotes

    • Guided course
      Introduction to Asymptotes
      6:24
    • Guided course
      Determining Horizontal Asymptotes
      4:48
    • Guided course
      Determining Removable Discontinuities (Holes)
      3:34

    Graphing Rational Functions

    • Guided course
      Graphing Rational Functions Using Transformations
      5:31
    • Guided course
      Example 1
      3:08
    • Guided course
      Example 1
      10:18

    Introduction to Exponential Functions

    • Guided course
      Exponential Functions
      6:13

    The Number e

    • Guided course
      The Number e
      4:47

    Introduction to Logarithms

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

    Properties of Logarithms

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

    Solving Exponential and Logarithmic Equations

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

    Two Variable Systems of Linear Equations

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

    Introduction to Matrices

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

    Sequences

    • Guided course
      Example 2
      4:19
    • Guided course
      Example 1
      5:52
    • Guided course
      Introduction to Sequences
      8:22

    Arithmetic Sequences

    • Guided course
      Example 2
      7:00
    • Guided course
      Example 1
      2:35
    • Guided course
      Arithmetic Sequences - Recursive Formula
      6:40

    Geometric Sequences

    • Guided course
      Geometric Sequences - General Formula
      4:45
    • Guided course
      Geometric Sequences - Recursive Formula
      4:18

    Circles

    • Guided course
      Circles in Standard Form
      5:18
    • Guided course
      Circles in General Form
      6:20
    • Guided course
      Circles in Standard Form Example 1
      3:40

    Parabolas

    • Guided course
      Parabolas as Conic Sections Example 1
      7:12
    • Guided course
      Horizontal Parabolas
      5:28
    • Guided course
      Horizontal Parabolas Example 1
      7:18

    Ellipses: Standard Form

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

    Hyperbolas at the Origin

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