# differential equations   38 videos

• #### Basic Polynomial Graphs

##### Algebra 2Polynomials

How to graph a first degree polynomial

linear equation
• #### The Discriminant of a Quadratic Equation

##### Algebra 2Quadratic Equations and Inequalities

How to use the discriminant to know the number and type of solutions to a quadratic.

discriminant type of solution number of solutions type of roots number of roots
• #### Finding the Slope of a Line from an Equation

##### Algebra 2Graphs of Linear Equations

How to use the slope-intercept form of a line.

slope slope intercept form y intercept
• #### Applied Linear Equations: Mixture Problem

##### Algebra 2Linear Equations

How to solve a mixture problem when the size difference between the two containers is known.

word problem mixture
• #### Applied Linear Equations: Investment Problem

##### Algebra 2Linear Equations

How to solve an interest problem when given the total amount deposited.

word problem investment interest
• #### Applied Linear Equations: Tax Problem

##### Algebra 2Linear Equations

How to solve a word problem about finding the tax on a purchase.

word problem tax
• #### Applied Linear Equations: Distance Problem

##### Algebra 2Linear Equations

How to find the speed of transit when the time of two different legs is known.

distance rate time word problem
• #### Applied Linear Equations: Collection Problem

##### Algebra 2Linear Equations

How to solve a word problem about how many dimes and quarters it takes to make a certain denomination.

collection change coins dimes quarter word problem denomination
• #### Applied Linear Equations: Consecutive Numbers

##### Algebra 2Linear Equations

How to solve a problem involving consecutive integers.

consecutive numbers
• #### Point-Slope Form of a Line

##### Algebra 2Graphs of Linear Equations

How to use point-slope form of a line.

point slope form equation of a line
• #### Dilations of Quadratic Graphs

##### Algebra 2Quadratic Equations and Inequalities

How to graph parabolas that are wide or skinny or upside down without making a table of values.

• #### Solving by Factoring

##### Algebra 2Factoring

How to solve trinomial equation by factoring.

solving by factoring
• #### Graphing a Rational Expression

##### Algebra 2Rational Expressions and Functions

How to graph a basic rational equation.

functions function notation difference quotient expanding binomials
• #### Solving a Linear System in Three Variables with a Solution

##### Algebra 2Systems of Linear Equations

How to solve a system of linear equations in three variables.

solving a system in three variables elimination substitution
• #### Augmented Matrices

##### Algebra 2Matrices

How to use matrices to solve a system of linear equations.

augmented matrix row operations scalar multiple
• #### Solving a Linear System in Three Variables with no or Infinite Solutions

##### Algebra 2Systems of Linear Equations

How to solve a system of linear equations in three variables that yields no, or many solutions.

solving a system in three variables elimination substitution
• #### Graph of Logarithmic Functions

##### Algebra 2Inverse, Exponential and Logarithmic Functions

How to find the graph of a logarithmic equation with a base greater than one.

log graph logarithmic graphs inverse graphically domain range asymptote
• #### Vocabulary of Quadratic Polynomials

##### Algebra 2Quadratic Equations and Inequalities

How to label the roots of a quadratic polynomial, solutions to a quadratic equation, and x-intercepts or roots of a quadratic function.

roots x intercepts solutions excluded values zeros function