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College Algebra Study Guide: Key Topics and Concepts

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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

Linear Inequalities

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

Two-Variable Equations

  • Guided course
    Graphing Equations of Two Variables by Plotting Points
    04:29
  • Guided course
    Graphing Intercepts
    04:08
  • Guided course
    Equations with Two Variables
    05:28

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

Polynomials Intro

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

Multiplying Polynomials

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

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

Rational Equations

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

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

Common Functions

  • Guided course
    Graphs of Common Functions
    5:57

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

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

Exponents

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

Rational Exponents

  • Guided course
    Rational Exponents
    04:06

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

Graphing Exponential Functions

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

Graphing Logarithmic Functions

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

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

Quadratic Functions

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

Intro to Quadratic Equations

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

The Square Root Property

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

Completing the Square

  • Guided course
    Solving Quadratic Equations by Completing the Square
    06:24

The Quadratic Formula

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

Choosing a Method to Solve Quadratics

  • Guided course
    Choosing a Method to Solve Quadratics
    04:03