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Topics in Algebra: Course Syllabus and Study Guide

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Algebraic Expressions

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

Exponents

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

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

Multiplying Polynomials

  • Percorso guidato
    Special Products - Cube Formulas
    03:41
  • Percorso guidato
    Special Products - Square Formulas
    04:14
  • Percorso guidato
    FOIL
    03:07

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

Rational Equations

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

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

Intro to Quadratic Equations

  • Percorso guidato
    Introduction to Quadratic Equations
    05:35
  • Percorso guidato
    Solving Quadratic Equations by Factoring
    06:08

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

Linear Inequalities

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

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

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

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

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

Dividing Polynomials

    Introduction to Rational Functions

    • Percorso guidato
      Intro to Rational Functions
      6:04

    Graphing Rational Functions

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

    Introduction to Exponential Functions

    • Percorso guidato
      Exponential Functions
      6:13

    Introduction to Logarithms

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

    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

    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

    Graphing Systems of Inequalities

    • Percorso guidato
      Linear Inequalities
      7:02
    • Percorso guidato
      Nonlinear Inequalities
      3:21
    • Percorso guidato
      Example 2
      4:37