COLLEGE ALGEBRA WITH REVIEW
How to use these videos
UNIT: Linear Equations, Inequalities, and Applications
Linear Equations in One Variable (Lial-2.1):
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
(Page 2)
Formulas and Percent (Lial-2.2):
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
(Page 2)
Applications of Linear Equations (Lial-2.3,2.4):
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
(Page 2)
(Page 3)
Linear Inqualities in One Variable (Lial-2.5):
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
(Page 2)
Set Operations and Compound Inequalities (Lial-2.6):
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
(Page 2)
Absolute Value Equations and Inequalities (Lial-2.7):
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
(Page 2)
(Page 3)
Chapter 2 Test Review
Test Review:
(pdf)
Test Review Key:
(pdf)
YouTube Explanations:
(#01)
(#02)
(#03)
(#04)
(#05)
(#06)
(#07)
(#08)
(#09)
UNIT: Graphs, Linear Equations, and Functions
Rectangle Coordinates and Graphs of Equations (Lial-3.1):
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
Linear Equations in Two Variables (Lial 3.2-3.3)
Part 1: Linear Equations and Slope
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
(Page 2)
Part 2: Parallel and Perpendicular Linear Equations
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
Linear Inequalities in Two Variables (Lial-3.4):
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
Introduction to Functions (Lial 3.5-3.6)
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
(Page 2)
Chapter 3 Test Review
Test Review:
(pdf)
Test Review Key:
(pdf)
YouTube Explanations:
(#01)
(#02)
(#03)
(#04)
(#05)
(#06)
UNIT: Systems of Linear Equations, Matrices
Systems of Linear Equations in Two Variables (Lial 4.1)
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
(Page 2)
(Page 3)
(Page 4)
Systems of Linear Equations in Three Variables (Lial 4.2)
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
(Page 2)
Solving Systems of Linear Equations by Matrix Methods (Lial 4.4)
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
(Page 2)
(Page 3)
(Page 4)
Inconsistent and Dependent Systems (Appendices - Part 1)
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
(Page 2)
(Page 3)
(Page 4)
Matrix Operations (Appendices - Part 2)
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
(Page 2)
(Page 3)
(Page 4)
Multiplicative Inverses of Matrices and Matrix Equations (Appendices - Part 3)
(YouTube Video - Slight Error, Caught it and Fixed But Redo When you Have Time)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
(Page 2)
(Page 3)
(Page 4)
Determinants and Cramer's Rule (Appendices - Part 4)
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
(Page 2)
(Page 3)
Chapter 4 Test Review
Test Review:
(pdf)
Test Review Key:
(pdf)
YouTube Explanations:
(#01)
(#02)
(#03)
(#04)
(#05)
(#06)
(#07)
UNIT: Exponents, Polynomials, and Polynomial Functions
Integer Exponents and Scientific Notation (Lial 5.1)
Part 1: Product and Power Rules
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
Part 2: Quotient Rules and Integer Exponents
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
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PDF Pages:
(Page 1)
(Page 2)
Part 3: Scientific Notation
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
Adding and Subtracting Polynomials (Lial 5.2)
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
(Page 2)
Polynomial Functions, Graphs, and Composition (Lial 5.3)
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
(Page 2)
Multiplying Polynomials (Lial 5.4)
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
(Page 2)
Dividing Polynomials (Lial 5.5):
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
Chapter 5 Test Review
Test Review:
(pdf)
Test Review Key:
(pdf)
YouTube Explanations:
(#01)
(#02)
(#03)
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(#05)
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(#09)
(#10)
UNIT: Factoring
Greatest Common Factors and Factoring by Grouping (Lial 6.1)
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
Factoring Trinomials (Lial 6.2)
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
Special Factoring (Lial 6.3)
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
A General Approach to Factoring (Lial 6.4)
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
(Page 2)
Solving Equations by Factoring (Lial 6.5)
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
Chapter 6 Test Review
Test Review:
(pdf)
Test Review Key:
(pdf)
YouTube Explanations:
(#01)
(#02)
(#03)
(#04)
UNIT: Rational Expressions and Functions
Rational Expressions and Functions, Multiply and Dividing (Lial 7.1)
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
(Page 2)
(Page 3)
Adding and Subtraction Rational Expressions (lial 7.2)
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
(Page 2)
(Page 3)
Complex Fractions (Lial 7.3)
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
(Page 2)
Equations with Rational Expressions and Graphs (Lial 7.4)
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
(Page 2)
Applications of Rational Expressions (Lial 7.5)
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
Variation (Lial 7.6)
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
(Page 2)
UNIT: Roots, Radicals, and Root Functions
Simplifying Radical Expressions (Lial 8.1, 8.3)
Part 1: Introduction to Square Roots
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
Part 2: Simplifying Square Roots
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
Part 3: Simplify Radical Expressions Using Properties of Radicals
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
(Page 2)
(Page 3)
(Page 4)
Rational Exponents (Lial 8.2)
Part 1: nth Roots and Rational Exponents
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
(Page 2)
Part 2: Simplifying Expressions Using the Laws of Exponents
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
(Page 2)
Adding and Subtracting Radical Expressions (Lial 8.4-8.5)
Part 1: Adding, Subtracting and Multiplying Radical Expressions
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
(Page 2)
Part 2: Dividing Rational Expressions (Rationalizing)
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
(Page 2)
Solving Equations with Radicals (Lial 8.6)
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
(Page 2)
Complex Numbers (Lial 8.7)
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
(Page 2)
Chapter 8 Test Review
Test Review:
(pdf)
Test Review Key:
(pdf)
YouTube Explanations:
(#01)
(#02)
(#03)
(#04)
(#05)
(#06)
(#07)
(#08)
(#09)
(#10)
UNIT: Quadratic Equations and Inequalities
The Square Root Property and Completing the Square (Lial 9.1)
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
(Page 2)
The Quadratic Formula (Lial 9.2)
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
(Page 2)
Equations Quadratic in Form (Lial 9.3)
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
(Page 2)
Formulas and Further Applications (Lial 9.4)
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
(Page 2)
Polynomial and Rational Inequalities (Lial 9.5)
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
(Page 2)
UNIT: Additional Graphs of Functions and Relations
Review of Operations and Composition (Lial 10.1)
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
(Page 2)
Graphs of Quadratic Functions (Lial 10.2-10.3)
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
(Page 2)
Symmetry, Increasing and Decreasing Functions, Piecewise Functions (Lial 10.4-10.5)
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
(Page 2)
(Page 3)
(Page 4)
Chapter 9/10 Test Review
Test Review:
(pdf)
Test Review Key:
(pdf)
YouTube Explanations:
(#01)
(#02)
(#03)
(#04)
(#05)
(#06)
(#07)
(#08)
(#09)
(#10)
UNIT: Inverse, Exponential, and Logarithmic Functions
Inverse Functions (Lial 11.1)
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
(Page 2)
(Page 3)
Exponential Functions (Lial 11.2)
Part 1: Exponential Functions
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
(Page 2)
Part 2: Equality of Exponents (See Exponential and Logarithmic Equations - Lial 11.6)
Logarithmic Functions (Lial 11.3,11.5)
Part 1: Logarithmic Functions
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
(Page 2)
Part 2: Basic Log Equations (See Exponential and Logarithmic Equations - Lial 11.6)
Properties of Natural Logarithms (Lial 11.4)
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
(Page 2)
Exponential and Logarithmic Equations, Further Applications (Lial 11.6)
Part 1: Exponential and Logarithmic Equations
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
(Page 2)
Part 2: Exponential Growth and Decay Applications
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
(Page 2)
(Page 3)
(Page 4)
Chapter 11 Test Review
Test Review:
(pdf)
Test Review Key:
(pdf)
YouTube Explanations:
(#01)
(#02)
(#03)
(#04)
(#05)
(#06)
(#07)
(#08)
(#09)
(#10)
UNIT: Polynomial and Rational Functions
Zeros of Polynomial Functions (Lial 12.1-12.2)
Part 1: Synthetic Division, Long Division, Remainder and Factor Theorem
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
(Page 2)
(Page 3)
(Page 4)
Part 2: Zeros of Polynomials
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
(Page 2)
(Page 3)
Graphs and Applications of Polynomial Functions (Lial 12.3)
Part 1: Transformations of Functions
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
(Page 2)
Part 2: Polynomial Functions and Their Graphs
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
(Page 2)
Graphs and Applications of Rational Functions (Lial 12.4)
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
(Page 2)
(Page 3)
(Page 4)
UNIT: Conic Sections and Nonlinear Systems
The Circle and the Ellipse (Lial 13.1)
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
(Page 2)
Nonlinear Systems of Equations (Lial 13.3)
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
(Page 2)
Second-Degree Inequalities, Systems of Inequalities, and Linear Programming (Lial 13.4)
(YouTube Video)
Problems (pdf):
(Click Here)
Problems (powerpoint):
(Click Here)
PDF Pages:
(Page 1)
(Page 2)