Skip to main content
Back

College Algebra Final Exam Review: Comprehensive Study Notes

NotesPracticeVideo lessons

Study Guide - Learn with Videos

Curated lessons matched to your uploaded material – learn every topic step by step.

Graphs and Coordinates

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

Linear Equations

  • Solving Linear Equations with Fractions
    04:02
  • Introduction to Solving Linear Equtions
    07:48
  • Categorizing Linear Equations
    06:00

Polynomials Intro

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

Multiplying Polynomials

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

Factoring Polynomials

  • Factor Using the AC Method When a Is 1
    4:16
  • Factor by Grouping
    04:36
  • Introduction to Factoring Polynomials
    07:30

Zeros of Polynomial Functions

    Dividing Polynomials

      The Quadratic Formula

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

      Completing the Square

      • Solving Quadratic Equations by Completing the Square
        06:24

      Intro to Quadratic Equations

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

      Quadratic Functions

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

      Function Operations

      • Adding & Subtracting Functions
        5:56
      • Adding & Subtracting Functions Example 1
        4:46
      • Multiplying & Dividing Functions
        7:24

      Function Composition

      • Evaluating Composed Functions
        4:26
      • Decomposition of Functions Example 1
        1:46
      • Domain Restrictions of Composed Functions
        3:51

      Introduction to Rational Functions

      • Intro to Rational Functions
        6:04

      Rational Equations

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

      Asymptotes

      • Introduction to Asymptotes
        6:24
      • Determining Horizontal Asymptotes
        4:48
      • Determining Removable Discontinuities (Holes)
        3:34

      Introduction to Exponential Functions

      • Exponential Functions
        6:13

      Graphing Exponential Functions

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

      Introduction to Logarithms

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

      Properties of Logarithms

      • Change of Base Property
        5:36
      • Product, Quotient, and Power Rules of Logs
        3:49
      • Expand & Condense Log Expressions
        4:22

      Solving Exponential and Logarithmic Equations

      • Solving Exponential Equations Using Logs
        5:47
      • Solving Exponential Equations Using Like Bases
        4:46
      • Solving Logarithmic Equations
        5:02

      Sequences

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

      Arithmetic Sequences

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

      Geometric Sequences

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

      Introduction to Matrices

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

      Determinants and Cramer's Rule

      • Determinants of 3×3 Matrices
        7:25
      • Cramer's Rule - 2 Equations with 2 Unknowns
        6:54
      • Determinants of 2×2 Matrices
        4:36