Daniel Kopsas
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Home: Short Math Tutorial Videos
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Basic Algebra Tutorials
Fraction Basics
Solving One-Step Linear Equations
Solving Multi-Step Linear Equations
(the second example has an error)
MathTV Videos on How to Solve Linear Equations
Clearing Fractions in Equations
MathTV Videos on How to Clear Fractions in Linear Equations
Clearing Fractions Where the Numerator Has Two Terms
MathTV Videos on How to Solve Linear Equations with Decimals
One of the videos shows how to solve without clearing the decimals. Another one shows how to clear decimals.
MathTV Videos on When You Get "No Solution" or "All Real Numbers"
Solving a Formula for a Particular Variable
Interval Notation
Solving Two-Sided and Three-Sided Inequalities
MathTV Videos on Linear Inequalities
Linear Equations and Graphing
Axes, Origin, Points, and Quadrants in Two-Dimensional Rectangular Coordinate System
Interpreting Basic Real-World Scatter Plot Graphs
The Solutions and the Graph of a Linear Equation in Two Variables
Intercepts of Linear Equations in Two Variables
The Slope of a Line
General Slopes Positive, Negative, Zero, and Undefined
The Slopes of Parallel Lines and Perpendicular Lines
Interpreting Slope and Rate of Change in Applications
The Slope-Intercept Form of a Linear Equation in Two Variables
Examples Using the Slope-Intercept Form
Examples Determining the Slope-Intercept Equation of a Line
Introduction to the Rectangular Coordinate Plane
Interpreting the Meaning of an Ordered Pair in a Word Problem
Graphing a Linear Equation in Two Variables by Plotting Points
Graphing a Horizontal or Vertical Line
x- and y-Intercepts of a Line
Finding the Slope of a Line Given its Graph
Finding the Slope of a Line Given Two Points on the Line
Slopes of Parallel and Perpendicular Lines
Interpreting the Slope in a Word Problem
Introduction to Slope-Intercept Form of a Linear Equation in Two Variables
Graphing a Line When a Point on the Line and the Slope of the Line
Writing the Equation of a Line Given its y-Intercept and the Equation of a Perpendicular Line
Point-Slope Form of a Linear Equation in Two Variables
Writing the Equation of a Line That Passes Through Two Points
Predicting Trends Using Linear Equations in Two Variables
Dealing With Fixed Rates and Rates of Change in Linear Equations in Two Variables
Interpreting Slope and Ordered Pairs in Word Problems
Basics of Systems of Linear Equations in Two Variables
Solving Systems by Graphing
Solving a System of Linear Equations by Substitution: One Solution
Solving a System of Linear Equations by Substitution: No Solution
Solving a System of Linear Equations by Substitution: Infinite Number of Solutions
Solving Systems of Linear Equations by Elimination
Solving More Difficult Systems of Two-Dimensional Equations by Elimination
Solving a Cost Application Using Systems of Equations
Solving a Simple Interest Application Using Systems of Equations
Solving a Mixture Application Using Systems of Equations
Exponent Basics
Exponents - Multiplying and Dividing Common Bases
Raising a Base to a Power and then to Another Power
Raising a Product or Quotient to a Power
Zero and Negative Integers as Exponents
Examples Using Multiple Exponent Laws
Scientific Notation
What is a Polynomial?
Polynomial Terminology
A Basic Polynomial Application
Adding and Multiplying Polynomials
(YouTube)
Adding and Subtracting Polynomials
Multiplying Polynomials
(YouTube)
Multiplying Conjugate Binomials
Squaring a Binomial
(students always miss this!!!)
More Interesting Examples of Multiplying Polynomials
What is Factoring?
Factoring Out a Greatest Common Factor (GCF)
Factoring Out a Negative
Factoring by Grouping
Factoring a Monic Trinomial
The Idea Behind Factoring Trinomials by Grouping
(YouTube)
Examples: Factoring Trinomials by Grouping
(YouTube)
Factoring a Difference of Two Squares
(YouTube)
Factoring Perfect Square Trinomials
(YouTube)
Factoring a Sum of Cubes
Factoring a Difference of Cubes
General Factoring Strategies
Products that Equal Zero
Solving Quadratic Equations by Factoring
Solving a Consecutive Integer Application by Factoring
Solving a Formula Application by Factoring
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