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MAC 1105H College Algebra Honors: Comprehensive Study Guide

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Study Guide - Learn with Videos

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Factoring Polynomials

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

The Quadratic Formula

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

Radical Expressions

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

Simplifying Radical Expressions

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

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

Graphs and Coordinates

  • Guided course
    Graphs and Coordinates - Example
    02:16
  • Guided course
    Graphs & the Rectangular Coordinate System
    05:10

Lines

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

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

Transformations

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

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

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

Function Composition

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

Introduction to Exponential Functions

  • Guided course
    Exponential Functions
    6:13

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