George's Math Aid

MAT 151 - College Algebra

Paul's Online Math Notes
- Algebra - Cheat Sheet
- Algebra/Trig Review
- Algebra - Complete Notes
ClassZone - Middle/High School textbook resources
- Properties
- Formulas and Properties
- Table of Symbols
Germanna Community College - Helpful math handouts
- Polynomial Fractions
- Radicals and Fractional Exponents
Purplemath
- Solving Radical Equations
- Solving Rational Equations
George Hartas
- Function Transformations Order of Operations (Contributor: Iain Rakowski)
- Mathematical Formulas - (Work in Progress)
- Reciprocal Property for Inequalities
- Videos
  - College Algebra Review
    - Synthetic Division
    - Polynomial Long Division
Mathispower4u - Videos synced to Algebra & Trigonometry, 10th Ed., Sullivan
- Algebra 1 Video Library
- Algebra 2 Video Library
- Chapter R Review
  - Section R.8 nth Roots; Rational Exponents
    - Simplifying Radical Expressions Without Fractions
    - Simplifying Radical Expressions With Fractions
    - Simplify Square Roots of Variable Expressions - Absolute Value Needed
    - Simplify Radicals with Variables - Perfect Roots
    - Introduction to Multiplying Radicals
    - Multiplying Conjugates of Radical Expressions
    - Review of Multiplying Radicals
    - Square Binomials Containing Square Roots
- Chapter 1 Equations and Inequalities
  - Section 1.1 Linear Equations
    - Algebra 1 Page
    - Rational Equations
  - Section 1.2 Quadratic Equations
  - Section 1.3 Complex Numbers; Quadratic Equations in the Complex Number System
  - Section 1.4 Radical Equations; Equations Quadratic in Form; Factorable Equations
    - See Section R.8 above
    - Factor By Grouping
  - Section 1.5 Solving Inequalities
    - Solving Rational Inequalities
  - Section 1.6 Equations and Inequalities Involving Absolute Value
- Chapter 2 Graphs
  - Section 2.1 The Distance and Midpoint Formulas
  - Section 2.2 Graphs of Equations in Two Variables; Intercepts; Symmetry
  - Section 2.3 Lines
    - Algebra 1 Video Library
  - Section 2.4 Circles
- Chapter 3 Functions and Their Graphs
- Chapter 4 Linear and Quadratic Functions
  - Section 4.1 Properties of Linear Functions and Linear Models
    - Algebra 1 Page
  - Section 4.3 Quadratic Functions and Their Properties
  - Section 4.5 Inequalities Involving Quadratic Functions
- Chapter 5 Polynomial and Rational Functions
  - Section 5.1 Polynomial Functions and Models
  - Section 5.2 Properties of Rational Functions
  - Section 5.3 The Graph of a Rational Function (not covered in MAT 151)
  - Section 5.4 Polynomial and Rational Inequalities
  - Section 5.5 The Real Zeros of a Polynomial Function
    - The Rational Root (Zero) Theorem
    - Rational Roots Theorem for Polynomials - by MySecretMathTutor
    - Factor Polynomial Using Rational Roots Theorem - by MySecretMathTutor
    - Using Descartes Rule of Signs - by MySecretMathTutor
    - Bounds on Zeros Theorem - by MySecretMathTutor
    - Upper and Lower Bounds on Zeros - by Matt Henes
  - Section 5.6 Complex Zeros; Fundamental Theorem of Algebra
- Chapter 6 Exponential and Logarithmic Functions
Graphs of Functions from A Graphical Approach to Algebra and Trigonometry
Properties of Exponential Functions from Algebra and Trigonometry, 11th Ed., Sullivan, by Pearson Education
Properties of Logarithmic Functions from Algebra and Trigonometry, 11th Ed., Sullivan, by Pearson Education
Combining Transformations - by University of Houston
Inequalities and the Reciprocal Property by Gary Ball
Precalculus with Limits: A Graphing Approach - Video tutorials by Cengage Learning
Algebra II, Precalculus - Videos by Brightstorm
Krista King
- Algebra 2
- Precalculus
  - Why Can't Logarithms Be Negative?
patrickJMT
- Linear Inequalities
- Absolute Value Expressions, Equations, and Inequalities
- Quadratic Inequalities
- Rational Inequalities
- Logarithms
- Inverse Functions
Cole's World of Mathematics - YouTube
- Pre-Calculus
- Exponential Functions
- Inverse Functions
- Quadratics
- Algebra II
- Logarithms
- Algebra I
- Parabolas
- Factoring Techniques
MySecretMathTutor
- Linear Functions
- Functions
- Graphing Function Transformations
- Graphing Rational Functions
Khan Academy - Videos
- Algebra I
  - Absolute Value Equation Example
- Algebra II
- Precalculus
  - Rational Inequalities
iLectureOnline - Videos
- Algebra
Virtual Nerd - Videos
- Algebra 1
- Algebra 2
ProfRobBob - YouTube
- Factoring
- Algebra I
- Algebra II
Also see Equations, Graphing, Factoring, and Word Problems sections
MyLabsPlus, Algebra and Trigonometry, 11th Ed., Sullivan, by Pearson Education
- Essential Videos
- Section Video Lectures
- Author in Action Videos
- Chapter Test Prep Videos
- Guided Visualizations
  - Chapter 1 Equations and Inequalities
    - Operations with Complex Numbers
  - Chapter 2 Graphs
    - Equations of Lines: General Form
    - Equations of Lines: Parallel and Perpendicular
    - Equations of Lines: Point-Slope Form
    - Equations of Lines: Slope-Intercept Form
    - Slope Between Two Points
    - Equations of Circles
    - Sullivan Guided Visualizations
      - Slope
      - Circle
  - Chapter 3 Functions and Their Graphs
    - Difference Quotients
    - Domain and Range of Functions
    - Product and Quotient of Two Functions
    - Sum and Difference of Two Functions
    - Symmetry of Functions: Even and Odd
    - Transformation of Functions
    - Sullivan Guided Visualizations
  - Chapter 4 Linear and Quadratic Functions
    - Graphs of Quadratic Functions
    - Sullivan Guided Visualizations
      - Discriminant
      - Quadratic Functions
  - Chapter 5 Polynomial and Rational Functions
    - Leading-Term Test and Polynomials
    - Graphs of Power Functions
    - Graphs of Rational Functions Part I
    - Graphs of Rational Functions Part II
    - Graphs of Rational Functions: Oblique Asymptotes
    - Polynomial Inequalities
    - The Intermediate Value Theorem
    - Zeroes of Polynomial Functions
    - Sullivan Guided Visualizations
      - Multiplicity
      - Multiplicity and Vertical Asymptotes
  - Chapter 6 Exponential and Logarithmic Functions
    - Composite Functions
    - Graphs of Inverse Functions
    - Graphs of Exponential Functions
    - Graphs of Logarithmic Functions
    - Inverse Functions: Exponential and Logarithmic
    - Exponential Growth Models
    - Graphs of Logistic Functions
    - Sullivan Guided Visualizations
      - Exponential Functions
      - Logarithmic Functions
- Animation
  - Chapter R Review
  - Chapter 1 Equations and Inequalities
  - Chapter 2 Graphs
  - Chapter 3 Functions and Their Graphs
  - Chapter 4 Linear and Quadratic Functions
  - Chapter 5 Polynomial and Rational Functions
    - Vertical, Horizontal, or Oblique Asymptotes of a Rational Function
    - Solving a Rational Inequality
  - Chapter 6 Exponential and Logarithmic Functions
- Engaging Algebra: Activities that Create Connections

Algebra & Trigonometry Enhanced with Graphing Utilities, 6th Ed., Sullivan

NOTE: This book is NOT used at DCCC. The book Algebra and Trigonometry, 9th Ed. is used but no videos exist for this text, yet. However, the chapters are similar.
» Videos by Sullivan's Algebra and Trigonometry EGU 6e

Also see Precalculus, 9th Ed., Sullivan for more videos

George Hartas, MS
Educational Assistant for Mathematics Remediation
Delaware County Community College
- Spring 2024

Instructor, MAT 025
Marple M, 6:00pm-9:00pm
Upper Darby TR, 9:35am-11:00am
Online W, 6:00pm-9:00pm

Educational Assistant, MAT 050
Marple MWF, 10:10am-11:05am
Marple MWF, 11:15am-12:10pm
Marple TR, 12:10pm-1:35pm
Marple TR, 1:45pm-4:45pm
Marple T, 6:00pm-9:00pm
Marple R, 6:00pm-9:00pm