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College Algebra Study Guide: Fundamental Concepts, Equations, Functions, and Applications

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Exponents

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

Radical Expressions

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

Rational Exponents

  • Percorso guidato
    Rational Exponents
    04:06

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

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

Graphs and Coordinates

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

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

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

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

Transformations

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

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

Circles

  • Percorso guidato
    Circles in Standard Form
    5:18
  • Percorso guidato
    Circles in General Form
    6:20
  • Percorso guidato
    Circles in Standard Form Example 1
    3:40

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

    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

    Introduction to Matrices

    • Percorso guidato
      Performing Row Operations on Matrices
      8:38
    • Percorso guidato
      Example 1
      13:06
    • Percorso guidato
      Solving Systems of Equations - Matrices (Reduced Row-Echelon Form)
      5:58

    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

    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