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Comprehensive Study Guide: College Algebra Topics and Assignments Overview

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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

Intro to Functions & Their Graphs

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

Function Operations

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

Function Composition

  • Evaluating Composed Functions
    4:26
  • Decomposition of Functions Example 1
    1:46
  • Domain Restrictions of Composed Functions
    3:51

Transformations

  • Stretches & Shrinks of Functions
    6:02
  • Shifts of Functions
    5:34
  • Domain & Range of Transformed Functions
    4:22

Linear Equations

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

Linear Inequalities

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

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

Quadratic Functions

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

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

Rational Equations

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

Radical Expressions

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

Introduction to Exponential Functions

  • Exponential Functions
    6:13

Graphing Exponential Functions

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

Introduction to Logarithms

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

Graphing Logarithmic Functions

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

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

Sequences

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

Arithmetic Sequences

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

Geometric Sequences

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