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College Algebra Syllabus Study Guide

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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

Lines

  • Percorso guidato
    Point-Slope Form
    05:46
  • Percorso guidato
    Graphing Lines in Slope-Intercept Form
    02:35
  • Percorso guidato
    Types of Slope
    05:17

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

Common Functions

  • Percorso guidato
    Graphs of Common Functions
    5:57

Function Operations

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

Function Composition

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

Quadratic Functions

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

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

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

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

Exponents

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

Rational Equations

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

Introduction to Rational Functions

  • Percorso guidato
    Intro to Rational Functions
    6:04

Radical Expressions

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

Rational Exponents

  • Percorso guidato
    Rational Exponents
    04:06

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

Complex Numbers

  • Percorso guidato
    Dividing Complex Numbers
    04:22
  • Percorso guidato
    Introduction to Complex Numbers
    03:31
  • Percorso guidato
    Adding and Subtracting Complex Numbers
    03:18

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

Introduction to Exponential Functions

  • Percorso guidato
    Exponential Functions
    6:13

The Number e

  • Percorso guidato
    The Number e
    4:47

Introduction to Logarithms

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

Properties of Logarithms

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

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

Understanding Polynomial Functions

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

Zeros of Polynomial Functions

    Graphing Polynomial Functions

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

    Graphing Rational Functions

    • Percorso guidato
      Graphing Rational Functions Using Transformations
      5:31
    • Percorso guidato
      Example 1
      3:08
    • Percorso guidato
      Example 1
      10:18

    Asymptotes

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

    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

    Exponents

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

    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

    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