# Algebra 3/4 Video Links

General Algebra Links:

Khan Academy Algebra 1 (LOTS of videos)

Khan Academy Algebra 2 (LOTS of videos)

Patrick JMT Algebra (LOTS of videos)

Specific Algebra Topics Links:

1.2 – Properties of Real Numbers

1.3 – Evaluating Algebraic Expressions by Substitution

1.3 – Simplifying Expressions by Combining Like Terms

1.4 – Solving 1-step Equations

1.4 – Solving 1-step Equations Involving Fractions

1.4 – Solving Multi-step Equations

1.4 – Solving Literal Equations (Solving an Equation for a Specific Variable)

1.5 - Solving Inequalities and Graphing Them on a Number Line

1.5 – Solving Compound Inequalities and Graphing Them on a Number Line – These are the inequalities involving “AND” or “OR.”

1.6 – Solving Absolute Value Equations

1.6 – Solving Absolute Value Equations AND Checking for Extraneous Solutions

2.1 – Function Notation and Evaluating a Function

2.1 - Domain and Range of a relation from a table.

2.1 - Writing a function rule for a real world problem.

2.2 - Direct variation: finding the constant of variation from a table.

2.2 - Direct variation: finding y for a given x.

2.2 - Direct variation: slopes and graphs.

2.3 - Slope of a line from two points.

2.3 - Slope intercept form of a line.

2.3 - Equation of a line from its graph.

2.3 - Writing equations in slope intercept form by solving for y.

2.3 - Making x-y Tables on a TI-83, Including Adjusting Table Settings

2.4 - Alternate method: matching the graph to an equation in standard form.

2.4 - Finding the equation of a line in point-slope form from two points.

2.4 - Converting to standard form of a line.

2.4 - Finding the equation of a perpendicular line using slope intercept form. - #1

2.4 - Finding the equation of a perpendicular line using slope intercept form. - #2

2.4 - Finding the equation of a parallel line using slope intercept form AND point-slope form.

2.5 - Line of Best Fit BY HAND using Point-Slope Form

2.5 - Line of Best Fit BY HAND using Slope Intercept Form

2.5 - Finding the Line of Best Fit on a TI-83(the calculator on your laptop)

2.5 - Finding the Line of Best Fit in Microsoft Excel (which should be installed on your laptops)

2.6 – Transformations of Functions

2.7 – Graphing Absolute Value Functions

2.8 – Graphing Linear Inequalities

3.1 – Solving Systems of Equations by Graphing

3.1 - Finding an intersection on the TI-83.

3.2 - Solving Systems of Equations by Substitution

3.2 - Solving Systems of Equations by Elimination (Combination)

3.3 - Solving Systems of Equations by Linear Inequalities

3.3 - Graphing a SINGLE linear inequality on the TI-83.

3.3 - Graphing a SYSTEM of linear inequalities on the TI-83.

4.1 – Graphing from Vertex Form

4.1 - Finding the Equation of a Quadratic Function in Vertex Form - from its Graph

4.2 - Standard Form of a Quadratic Function

4.2 - Converting from Vertex Form to Standard Form

4.2 - Finding the Maximum and Minimum Values of a Quadratic Function

4.4 Pre: Finding the Greatest Common Factor (GCF)

4.4 Pre: Finding the GCF of a Polynomial

4.4 Pre: Factoring out the GCF of a polynomial

4.4 Pre: Exponent Rules

4.4 Pre: Multiplying Polynomials

4.4 - Factoring Trinomials when a=1

4.4 - Factoring when a is not equal to 1

4.4 - Factoring the Difference of Squares

4.4 - Factoring Perfect Square Trinomials

4.5 - Solving Equations by Factoring

4.5 - Solving Quadratic Equations by Graphing on a TI83 Graphing Calculator

4.5 - Solving Equations by Graphing Using 2nd > Calc > Zero and 2nd > Calc > Intersect

4.6 - Solving Equations by Completing the Square - but you can always use quadratic formula instead if you want to.

4.6 - Solving Equations by Completing the Square, a NOT equal to 1 - but you can always use quadratic formula instead if you want to.

4.6 - Solving Equations by Square Root Property (these videos explain where the plus minus sign comes from)

4.7 - Solving Equations by Quadratic Formula

4.7-4.8 Subskill - Simplifying Square Roots, **Especially Imaginary Roots!**

4.5-4.7 Quadratic Word Problems

4.5-4.7 Quadratic Word Problems - Projectile Motion

4.8 - Adding and Subtracting Complex Numbers

4.8 - Multiplying Complex Numbers

4.8 - Dividing Complex Numbers

4.8 - Quadratic Formula with Complex Solutions

5.1 – Standard Form of a Polynomial

5.1 – End Behavior of a Polynomial

5.2 – Constructing a Polynomial from its Zeros

5.2 – Multiplicity of Zeros for a Polynomial

5.2 – Multiplicity of Zeros - Graphing

5.2 – Identifying a Relative Minimum or Maximum on a TI-83

5.3 – Factoring the Difference of Cubes

5.3 – Factoring the Sum of Cubes

5.3 – Solving Polynomial Equations by Factoring

5.3 – Solving Polynomial Equations by Graphing

5.3 - Solving for the Real Solutions of a Polynomial Equation Using 2nd > Calc > Zero AND ZoomFit

5.4 - Long Division of Polynomials

5.4 - Long Division of Polynomials WITH Remainders

5.4 Pre - Long Division of Numbers

5.4 - Synthetic Division of Polynomials

5.4 - Using Synthetic Substitution to Evaluate Polynomial Functions

5.5 - Descartes' Rule of Signs

5.5 - Constructing a Polynomial from its Roots

5.5 - Constructing a Polynomial from its COMPLEX Roots

5.6 - The Fundamental Theorem of Algebra

5.6 - Graphing a Polynomial Using a Table of Signs

5.8 - Linear Regression on a TI-83

5.8 - Quadratic Regression on a TI-83

5.8 - Cubic Regression on a TI-83

5.8 - Polynomial Models in the Real World INCLUDING the n+1 Points Principle

5.9 - Transformations of Cubic Functions

5.9 - Solving Equations by Square and Cube Roots

6.1 - Simplifying Square Roots

6.1 - Solving Equations by Square Roots (Don't forget the + !)

6.1 - Solving Equations by Cube Roots

6.1 - Solving Equations by Fourth Roots (Don't forget the + !)

6.2 - Multiplying Radical Expressions - Square Roots

6.2 - Multiplying Radical Expressions - Cube Roots

6.2 - Dividing Radical Epressions

6.3 - Adding Radical Expressions

6.3 - Subtracting Radical Expressions

6.5 - Solving Radical Equations - **Don't forget to check for extraneous solutions!**

6.5 - Squaring Both Sides Twice to Solve a Radical Equation with TWO Radicals.

6.6 Pre - Evaluating Functions

6.6 - Evaluating Composite Functions

6.6 - Composition of Functions

6.7 - Finding the Inverse of a Function

6.7 - Graphing the Inverse of a Function

6.8 - Graphing Radical Functions

7.1 - Exponential Growth and Decay - General

7.1 - Graphing Exponential Functions

7.1 - Exponential Growth and Decay Word Problems

7.2 - Graphing Exponential Functions with Transformations

7.3 - Converting Equations Between Logarithmic and Exponential Form

**7.3 - Ex: Graph an Exponential Function and Logarithmic Function**

7.3 - Graphing Exponential Functions and Logarithmic Functions as Inverses of Each Other

7.3 - Exponential Regression on a TI-83/84

7.3 - Graphing Transformations of Logarithmic Functions

7.4 - Product Property for Logarithms

7.4 - Quotient Property for Logarithms

7.4 - Power Property for Logarithms

7.4 - Properties of Logarithms

7.4 - Rewriting a Logarithmic Expression as a Single Logarithm

7.5 - Solving Exponential Equations

7.5 - Solving Logarithmic Equations

7.6 - Continuously Compounded Interest

7.6 - Annually Compounded Interest

7.6 - Compounded Interest - n based on the number of times interest is compounded per year

8.1 - Inverse Variation Word Problems

8.1 - Inverse Variation Table Problems

8.2 - Graphing Reciprocal Functions - Video 1

8.2 - Graphing Reciprocal Functions - Video 2

8.2 - Transformations of Reciprocal Functions

8.3 Rational Functions - Finding Vertical Asymptotes

8.3 Rational Functions - Finding Horizontal Asymptotes

8.3 Rational Functions - Finding Zeroes

8.3 Rational Functions - Finding Holes

8.3 Rational Functions - Removable and Non-Removable Discontinuities

8.3 - Graphing Rational Functions

8.4 - Simplify Rational Expressions

8.4 - Multiplying and Dividing Rational Expressions

8.5 - Add and Subtract Rational Expressions

8.5 - Simplify Complex Rational Expressions (Fractions Inside of Fractions)