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College Algebra Syllabus and Study Guide

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Algebraic Expressions

  • Guided course
    Evaluating Algebraic Expressions
    03:11
  • Guided course
    Introduction to Algebraic Expressions
    05:09
  • Guided course
    Introduction to College Algebra Channel
    1:51

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

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

Radical Expressions

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

Rational Exponents

  • Guided course
    Rational Exponents
    04:06

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

Rationalize Denominator

  • Guided course
    Rationalizing Denominators Using Conjugates
    03:42
  • Guided course
    Rationalizing Denominators
    02:58

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

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

Dividing Polynomials

    Zeros of Polynomial Functions

      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

      Graphing Polynomial Functions

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

      Rational Equations

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

      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