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Comprehensive College Algebra & Precalculus Study Guide

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Study Guide - Learn with Videos

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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

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

Dividing Polynomials

    Zeros of Polynomial Functions

      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

      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

      Exponents

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

      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

      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

      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

      Sequences

      • Guided course
        Example 2
        4:19
      • Guided course
        Example 1
        5:52
      • Guided course
        Introduction to Sequences
        8:22

      Arithmetic Sequences

      • Guided course
        Example 2
        7:00
      • Guided course
        Example 1
        2:35
      • Guided course
        Arithmetic Sequences - Recursive Formula
        6:40

      Geometric Sequences

      • Guided course
        Geometric Sequences - General Formula
        4:45
      • Guided course
        Geometric Sequences - Recursive Formula
        4:18

      Two Variable Systems of Linear Equations

      • Guided course
        Example 1
        3:09
      • Guided course
        Solving Systems of Equations - Elimination
        6:48
      • Guided course
        Example 2
        3:31

      Introduction to Matrices

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

      Introduction to Conic Sections

      • Guided course
        Geometries from Conic Sections
        3:08

      Circles

      • Guided course
        Circles in Standard Form
        5:18
      • Guided course
        Circles in General Form
        6:20
      • Guided course
        Circles in Standard Form Example 1
        3:40

      Parabolas

      • Guided course
        Parabolas as Conic Sections Example 1
        7:12
      • Guided course
        Horizontal Parabolas
        5:28
      • Guided course
        Horizontal Parabolas Example 1
        7:18

      Ellipses: Standard Form

      • Guided course
        Graph Ellipses NOT at Origin
        4:50
      • Guided course
        Foci and Vertices of an Ellipse
        5:30
      • Guided course
        Graph Ellipses at Origin
        5:12

      Hyperbolas at the Origin

      • Guided course
        Asymptotes of Hyperbolas
        5:50
      • Guided course
        Graphing Hyperbolas at the Origin Example 1
        3:58
      • Guided course
        Introduction to Hyperbolas
        6:15

      Hyperbolas NOT at the Origin

      • Guided course
        Graph Hyperbolas NOT at the Origin
        5:59