Solving Quadratic Equations by Factoring
The Zero-Product
Property
Solving
Quadratic Equations by Factoring
Ex:
Solve an Equation in Factored Form
Ex: Factor and Solve Quadratic Equation -
Greatest Common Factor Only
Ex 1: Factor and Solve a Quadratic Equation - GCF
Ex 2: Factor and Solve a Quadratic Equation - GCF
Ex
1: Factor and Solve a Quadratic Equation
- Factor by Grouping
Ex
2: Factor and Solve a Quadratic Equation
- Factor by Grouping
Ex:
Factor and Solve Quadratic Equations When A equals 1
Ex 1: Factor and Solve
Quadratic Equation - Trinomial a = 1
Ex 2: Factor and Solve
Quadratic Equation - Trinomial a = 1
Ex: Factor and Solve
Quadratic Equation - Trinomial a = -1
Ex: Factor and Solve Quadratic Equation -
Difference of Squares
Ex 1: Factor and Solve a Quadratic Equation Using
Difference of Squares
Ex 2: Factor and Solve a Quadratic Equation Using
Difference of Squares
Ex: Factor and Solve a
Quadratic Equation - Perfect Square Trinomials
Ex:
Factor and Solve Quadratic Equation - Perfect Square Trinomials
Ex: Factor and Solve Quadratic Equation -
Greatest Common Factor +
Ex
1: Factor and Solve a Quadratic Equation
- a not 1
Ex
2: Factor and Solve a Quadratic Equation
- a not 1
Ex 1: Solve Quadratic Equations by Factoring
Completely
Ex
2: Solve Quadratic Equations by
Factoring Completely
Ex: Factor and Solve a Polynomial
Equation
Ex: Factor and Solve a Polynomial Equation
Solving Quadratic Equations Graphically
Ex
1: Solve a Quadratic Equation
Graphically on Calculator
Ex
2: Solve a Quadratic Equation
Graphically on Calculator
Ex 1: Solving Quadratic Equations Graphically Using
x-Intercepts
Ex 2: Solving Quadratic Equations Graphically Using
the Intersection Method
Solving Quadratic Equations Using the Square Root Property
Solving
Quadratic Equations Using Square Roots
Ex 1: Solving Quadratic Equations Using Square
Roots
Ex 2: Solving Quadratic Equations Using Square
Roots
Ex 3: Solving Quadratic Equations Using Square
Roots
Ex 4: Solving Quadratic Equations Using Square Roots
Ex: Solve Basic Quadratic Equations Using Square
Roots
Ex: Solve Quadratic Equations Using Square Roots
Solving a Quadratic Equation by Completing the Square
Ex: Creating a Perfect Square Quadratic Trinomial
Expression
Ex: Create an Expression with a Perfect Square
Quadratic Trinomial
Completing
the Square
Ex 1: Completing the Square - Real Rational
Solutions
Ex 2: Completing the Square - Real Irrational
Solutions
Ex 3: Completing the Square - Complex Solutions
Ex 4: Completing the Square - Leading Coefficient
Not 1
Ex 5: Completing the Square - Leading Coefficient Not 1 (Complex)
Solving a Quadratic Equation Using the Quadratic Formula
Ex:
Simplify a Radical Expression (Quadratic Formula Practice)
Using
the Quadratic Formula
Ex:
The Discriminant
Proof
of The Quadratic Formula
Ex:
Quadratic Formula - Two Real Rational Solutions
Ex:
Quadratic Formula - One Real Rational Repeated Solution
Ex1:
Quadratic Formula - Two Real Irrational Solutions
Ex2:
Quadratic Formula - Two Real Irrational Solutions
Ex:
Quadratic Formula - Complex Solutions
Ex : Solve a Quadratic Equation Using
the Quadratic Formula - Difference of Squares
Ex :
Solve a Quadratic Equation Using the Quadratic Formula - 2 Real
Irrational Solutions
Ex : Solve a Quadratic Equation Not
Set Equal to Zero Using the Quadratic Formula
Graphing Quadratic Functions
Graphing
Quadratic Functions in Standard Form
Graphing
Quadratic Functions in General Form
Ex: Graph a Quadratic Function in General
Form (Online Graphing Tool)
Ex: Graph a Quadratic Function in
Standard Form (Online Graphing Tool)
Graphing Quadratic Functions Using
Symmetric Points
Ex1: Graph a Quadratic Function in General Form
Ex2: Graph a Quadratic Function in General Form
Ex 3: Graph a Quadratic Function in General Form
Ex 4: Graph a Quadratic Function in General Form by
Finding Key Components
Ex 1: Graph a Quadratic Function in Standard Form
Ex 2: Graph a Quadratic Function in Standard Form
Ex1:
Write a Quadratic Function in Standard Form to Graph
Ex2:
Write a Quadratic Function in Standard Form to Graph (a not 1)
Ex: Quadratic Function Review
Ex 1: Key Characteristics of the Graph of a Quadratic Function (Opens Up)
Ex 2: Key Characteristics of the Graph of a Quadratic Function (Opens Down)
Determining Equations of Quadratic Functions
Ex:
Find the Equation of a Quadratic Function from the Graph
Ex: Find a Quadratic Function Given the Intercepts
of the Graph
Ex: Find a Quadratic Function Given the Vertex
and the Leading Coefficient.
Ex
1: Find a Quadratic Function With
Integer Zeros
Ex
2: Find a Quadratic Function With
Fractional Real Zeros
Ex
3: Find a Quadratic Function With Imaginary
Zeros
Ex
4: Find a Quadratic Function With
Complex Zeros
Ex
5: Find a Quadratic Function With
Complex Zeros (Alternative Method)
Ex
1: Find a Quadratic Function Using Sum
and Product of Zeros (Integer and Fraction Zeros)
Ex
2: Find a Quadratic Function Using Sum
and Product of Zeros (Complex)
Applications of Quadratic Equations
Ex:
Find the Length of the Diagonal of a Rectangle Given the Area
Ex: Find the Perimeter of an Equilateral
Triangle Given the Area without Trigonometry
Ex:
Quadratic Function Application - Blood Pressure
Ex: Quadratic Function Application Using Formulas
- Rocket Launch
Ex: Quadratic Function Application Using a
Graphing Calculator - Rocket Launch
Ex:
Find the Size of Cardboard Needed to Make a Box with a Given Volume
Ex: Quadratic Function Application -
Horizontal Distance and Vertical Height
Ex: Quadratic Function Application - Time
and Vertical Height
Ex: Quadratic Model Application - Ticket Price to
Maximize Revenue
Ex: Quadratic Function Application - Maximum Area
Ex:
Quadratic Regression on the TI84 - Stopping Distance
Solving Quadratic Inequalities
Solving
Quadratic Inequalities
Ex 1: Solve a Quadratic Inequality
Ex 2: Solve a Quadratic Inequality
Ex 1: Graph a Quadratic Inequality on the
Coordinate Plane
Ex 2: Graph a Quadratic Inequality on the
Coordinate Plane
Solving Equations in Quadratic Form
Solve
Equations in Quadratic Form by Factoring
Ex 1:
Solving Equations in Quadratic Form - Rational Exponents
Ex 2:
Solving Equations in Quadratic Form - Higher Powers
Ex 3:
Solving Equations in Quadratic Form - Square Root
Ex 4:
Solving Equations in Quadratic Form - Negative Exponents
Polynomial Functions
Determining the Characteristics of Polynomial Functions
Ex: Information about
a Given Polynomial Function
Turning Points and X
Intercepts of a Polynomial Function
Summary of End
Behavior or Long Run Behavior of Polynomial Functions
Ex: End Behavior or Long Run Behavior of
Functions
Ex: End Behavior of a Polynomial Function in
Factored Form
Ex: Find the Intercepts of a Polynomial Function
in Factored Form
Ex: Determine the Least Possible Degree of a
Polynomial From the Graph
Ex: Increasing / Decreasing / Relative Extrema
from Analyzing a Graph
Ex: Concavity / Points of Inflection by Analyzing
a Graph (Algebra Topic)
Ex: Concavity / Increasing / Decreasing Functions
as Tables (Algebra Topic)
Ex: Find the Intercepts of a Polynomial Function
(Factorable)
Ex: Find the Intercepts of a Polynomial
Function (Real Zero)
Ex 1: Find the Intercepts and the End Behavior of
a Polynomial Function
Ex 2: Find the Intercepts and the End Behavior of
a Polynomial Function
Ex 3: Find the Intercepts and the End Behavior of
a Polynomial Function
Determining the Equations of Polynomial Functions
Ex 1: Find a Degree 3 Polynomial Function Given
Integer Zeros
Ex 2: Find a Degree 3 Polynomial Function Given
Fractional Zeros
Ex 3: Find a Degree 3 Polynomial Function Given
Imaginary Zeros
Ex 4: Find a Degree 3 Polynomial Function Given
Complex Zeros
Ex 1: Find a Polynomial Function Given the Zeros or
Roots with Multiplicity and a Point
Ex 2: Find a Polynomial Function Given the Zeros or
Roots with Multiplicity and a Point
Ex 1: Find a Degree 4 Polynomial Function Given
Integer and Complex Zeros
Ex 2: Find a Degree 4 Polynomial Function Given
Integer and Complex Zeros
Ex 3: Find a Degree 4 Polynomial Function Given
Fractional and Complex Zeros
Ex1: Find an Equation of a Degree 4 Polynomial
Function From the Graph of the Function
Ex2: Find an Equation of a Degree 5 Polynomial
Function From the Graph of the Function
Ex3: Find an Equation of a Degree 6 Polynomial
Function From the Graph of the Function
Ex 1: Cubic Regression on the TI84 – Natural Gas Consumption
Ex 2: Cubic Regression on the TI84 - Total Sales
Finding the Zeros of Polynomial Functions
Real Zeros, Factors, and Graphs of Polynomial
Functions
Polynomial Function - Complex Factorization
Theorem
Ex: Factor and Solve a Polynomial
Equation
Ex 1: Find the Zeros of a Polynomial Function -
Integer Zeros
Ex 2: Find the Zeros of a Polynomial Function -
Real Rational Zeros
Ex 3: Find the Zeros of a Polynomial Function with
Irrational Zeros
Ex 4: Find the Zeros of a Polynomial Function with
Imaginary Zeros
Ex 5: Find the Zeros of a Polynomial Function with
Complex Zeros
Ex 6: Find the Zeros of a Degree 4 Polynomial
Function
Ex 7: Find the Zeros of a Degree 5 Polynomial
Function
Ex 1: Write
a Degree 3 Polynomial Function as a Product of Linear Factors (2 Imaginary)
Ex 2: Write
a Degree 3 Polynomial Function as a Product of Linear Factors (2 Irrational)
Ex 3: Write
a Degree 5 Polynomial Function as a Product of Linear Factors
Ex 1: The Zero Feature of the TI84 to Find Rational
Zeros of a Polynomial
Ex 2: The Zero Feature of the TI84 to Find Rational
Zeros of a Polynomial
Ex 1: The Intersection Feature of the TI84 to Find
Rational Zeros of a Polynomial
Ex 2: The Intersection Feature of the TI84 to Find
Rational Zeros of a Polynomial
Solving Polynomial Inequality
Ex 1: Solve a Polynomial Inequality in Factored
Form
Ex 2: Solve a Polynomial Inequality in Factored
Form
Ex: Solve a Polynomial Equation Using a Graphing
Calculator (Approximate Solutions)
Introduction to Odd
and Even Functions
Ex 1: Determine if a Function is Odd, Even, or
Neither
Ex 2: Determine if a Function is Odd, Even, or
Neither
Radicals Expressions, Equations, and
Functions
Introduction to Radical Expressions
Introduction
to Square Root and Perfect Squares
Introduction
to Radicals
Using
Rational Exponents
Simplifying Radicals
Ex:
Simplify Square Roots - Perfect Roots
Ex: Simplify Perfect Nth Roots - Radicals
Simplifying Radical Expressions Without Fractions
Simplifying Radical Expressions With Fractions
Simplifying Radicals
Ex: Simplify Square Roots - Not Perfect Roots
Ex: Simplify a Radical Expression containing
Square Roots in the Numerator and Denominator
Ex: Simplify Radicals with the Same Radicand and
Different Indexes
Ex: Simplify a Radical Containing a Fraction -
Perfect Root
Ex: Simplify Radicals with Variables - Perfect
Roots
Ex 1: Simplifying Perfect Nth Roots Containing
Variables
Ex 2: Simplifying Perfect Nth Roots Containing
Variables
Ex: Simplify Radicals Containing Variables With
Large Exponents - Not Perfect Roots
Ex: Simplify Radicals with Negative Radicands and
Odd Indexes
Ex: Simplify Radicals with Variables - Not
Perfect Roots
Evaluating
Radical Expressions on the TI83/84
Multiplying Radicals
Multiplying
Radicals
Ex: Multiply Square Roots
Ex 1: Multiply Radicals
Ex 2: Multiply Radicals
Ex: Multiply Radicals with Variables
Ex: Radicals Raised to Powers
Ex: Distribution with Square Roots
Ex: Multiply Binomials
with Square Roots
Ex: Square Binomials With Square Roots
Ex: Multiply Radical Conjugates - Square Roots
Dividing Radicals
Dividing
Radicals
Ex 1: Rationalize the Denominator of a Radical
Expression
Ex 2: Rationalize the Denominator of a Radical
Expression
Ex: Rationalize the Denominator of a Radical
Expression - Conjugate
Performing Operations with Rational Exponents
Ex: Write a Radical in Rational Exponent Form
Ex: Simplify
Expressions with Rational Exponents
Ex: Simplify an
Expression with Rational Exponents and Write in Radical Form
Ex: Simplify an
Expression with Negative Rational Exponents and Write in Radical Form
Ex: Multiply and Divide Radicals with Different
Indexes Using Rational Exponents - Same Radicand
Ex: Multiply Radicals
with Different Indexes Using Rational Exponents - Different Radicand
Ex: Evaluate an Expression with Rational
Exponents Using Radicals
Adding and Subtracting Radicals
Adding
and Subtracting Radicals
Ex:
Evaluate the Square Root of a Sum and the Sum of Square Roots on a
Calculator
Ex: Add and Subtract Square Roots - No
Simplifying
Ex: Add and Subtract Square Roots
Ex: Add and Subtract Square Roots Containing
Variables
Solving Radical Equations
Solving
Radical Equations with One Radical
Solving
Radical Equations with Two Radicals
Ex 1: Solve a Basic Radical Equation - Square Roots
Ex 2: Solve Radical Equations - Square Roots
Ex 3: Solve Radical Equations - Square Roots
Ex 4: Solve Radical Equations - Square Roots
Ex 5: Solve Radical Equations - Two Square Roots
Ex 6: Solve Radical Equations - Two Square Roots
Ex 7: Solve Radical Equations - Two Square Roots
Ex: Solve Radical Equations - Cube Roots / Fourth
Roots
Radical Equation
Application - Vehicle Speed from Skid Mark Length
Ex: Radical Equation Application - Obesity
Percentage
Performing Operations with Complex Numbers
Complex
Numbers
Ex: Determine a Real,
Imaginary, and Complex Number
Complex
Number Operations
Ex : Simplify Imaginary and Complex Numbers
Ex: Simplify, Add, and Subtract Imaginary and
Complex Numbers
Ex 1: Adding and Subtracting Complex Numbers
Ex 2: Adding and Subtracting Complex Numbers
Ex
1: Simplify and Multiply Complex Numbers
Ex
2: Multiply Complex Numbers
Ex 3:
Multiply Complex Numbers
Ex: Multiplying Complex Conjugates
Ex:
Raising the imaginary unit i to powers
Ex:
Dividing Complex Numbers
Complex Number
Operations on the TI-84
Using the Pythagorean Theorem
The
Pythagorean Theorem
Ex: Determine if a Triangle is a Right Triangle
Given the Length of 3 Sides
Ex: Determine the Length of the Hypotenuse of a
Right Triangle
Ex: Determine the Length of the Leg of a Right
Triangle
Using the Distance Formula / Midpoint Formula
The
Distance Formula
Ex: Midpoint of a Segment
Ex: Find the Endpoint
of a Segment Given the Midpoint and One Endpoint
Ex: Determine the Distance Between Two Points
(length of segment)
Graphing the Square Root Function with Transformations
Graphing the Basic
Square Root Function
Ex: Domain and Range
of Square Root Functions
Ex: Domain and Range
of Radical Functions
Ex: Domain of a Square
Root Function with a Quadratic Radicand
Reflections of the
Square Root Function
Horizontal and
Vertical Shifts of the Square Root Function
Horizontal and
Vertical Stretches and Compressions of the Square Root Function
Ex: Match the Graph of a Horizontal and Vertical
Shifted Graph to the Function
Ex: Match the Graph of a Reflected or Horizontally
Compressed or Stretched Graph to a Function
Function
Transformation Summary - The Square Root Function
Summary
of Function Transformations
Ex 1: Find the Equation of a Transformed Square
Root Function from the Graph
Ex 2: Find the Equation of a Transformed Square
Root Function From the Graph
Ex 3: Find the
Equation of a Transformed Square Root Function From a Graph
Ex 4: Find the
Equation of a Transformed Square Root Function From a Graph
Ex 1: Graphing a Transformation of the Square Root
Function
Ex 2: Graphing a Transformation of the Square Root
Function
Rational Expressions, Equations, and
Functions
Simplifying Rational Expressions
Simplifying
Rational Expressions
Ex 1:
Simplifying Rational Expressions – Monomials
Ex 2:
Simplifying Rational Expressions
Ex 3:
Simplifying Rational Expressions
Ex 4:
Simplifying Rational Expressions
Multiplying and Dividing Rational Expressions
Multiplying
and Dividing Rational Expressions
Ex 1:
Multiply Rational Expressions – Monomials
Ex 2:
Multiply Rational Expressions
Ex 3:
Multiply Rational Expressions
Ex 4:
Multiply Rational Expressions
Ex 1:
Dividing Rational Expressions – Monomials
Ex 2:
Dividing Rational Expressions
Ex 3:
Dividing Rational Expressions
Ex 1: Simplify a Complex Fraction (No Variables)
Ex 2: Simplify a Complex Fraction (Variables)
Ex 3: Simplify a Complex Fraction (Variables)
Ex 4: Simplify a Complex Fraction (Variables)
Ex 5: Simplify a Complex Fraction (Variables)
Ex 6: Simplify a Complex Fraction (Variables)
Ex 7: Simplify a Complex Fraction (Variables)
Adding and Subtracting Rational Expressions
Adding
and Subtracting Rational Expressions
Ex 1:
Add and Subtract Rational Expressions - Like Denominators
Ex 2:
Add and Subtract Rational Expressions - Like Denominators
Ex 3:
Add and Subtract Rational Expressions - Like Denominators
Ex:
Add and Subtract Rational Expressions - Opposite Denominators
Ex 1:
Add and Subtract Rational Expressions - Unlike Denominators
Ex 2:
Add and Subtract Rational Expressions - Unlike Denominators
Ex 3:
Add and Subtract Rational Expressions - Unlike Denominators
Ex 4:
Add and Subtract Rational Expressions - Unlike Denominators
Ex: Add and Subtract
Rational Expressions with Unlike Monomial Denominators
Ex: Add Rational
Expressions with Unlike Denominators
Ex: Subtract Rational
Expressions with Unlike Denominators
Solving Rational Equations
Solving
Rational Equations
Ex 1:
Solving Rational Equations
Ex 2:
Solving Rational Equations
Ex 3:
Solving Rational Equations
Ex 4:
Solving Rational Equations
Ex 5:
Solving Rational Equations
Ex: Solve a Rational Equation
Ex: A Rational Equation with No Solution
Ex 1: Solve Equations with Fractions
(Alternative Method)
Ex 2: Solve Equations with Fractions
(Alternative Method)
Ex 1:
Solve a Rational Equation (Alternative Method)
Ex 2:
Solve a Rational Equation (Alternative Method)
Ex:
Solve a Rational Equation - Alternative Method
Solving Applications using Rational Equations
Rational
Equation Applications I
Rational
Equation Applications II
Ex 1:
Rational Equation Application - Painting Together
Ex 2:
Rational Equation Application - Fill a Pool with Drain Open
Ex 3:
Rational Equation Application - Plane and Car Travelling the Same Time
Ex 4:
Rational Equation Application - Two Bikers Riding Different Distances
Solving Direct and Inverse Variation Problems
Direct
Variation
Inverse
Variation
Direct
and Inverse Variation
Ex 1:
Inverse Variation
Ex 2:
Inverse Variation - Change of Variables
Ex 3:
Inverse Variation - Fractional Variation Constant
Ex:
Inverse Variation Application - Number of Workers and Job Time
Ex:
Inverse Variation Application - Loudness and Distance
Determining Key Components of Rational Functions
Ex: Rational Function Values
Ex:
The Domain of Rational Functions
Determining
Vertical and Horizontal Asymptotes of Rational Functions
Determining
Slant Asymptotes of Rational Functions
Ex 1:
Determine Asymptotes and Graph a Rational Function
Ex 2:
Determine Asymptotes and Graph a Rational Function
Ex 3:
Determine Asymptotes and Graph a Rational Function
Ex 4:
Determine Asymptotes and Graph a Rational Function (Slant)
Ex: Determine Horizontal Asymptotes of Rational
Functions
Ex: Find the Intercepts and Asymptotes of a
Rational Function
Ex: Find the Intercepts, Asymptotes, and Hole of
a Rational Function
Ex: Find a Rational Function Given the Vertical
Asymptotes and Intercepts
Ex 1: Determine the Vertical and Slant Asymptotes
of a Rational Function
Ex 2: Determine the Vertical and Slant Asymptotes
of a Rational Function
Ex: Match Equations of Rational Functions to
Graphs
Graphing Rational Functions
Graphing
Rational Functions
Ex 1:
Graphing Rational Functions
Ex 2:
Graphing Rational Functions
Ex 3:
Graphing Rational Functions
Ex 4:
Graphing Rational Functions
Ex 5:
Graphing Rational Functions
Ex 6:
Graphing Rational Functions
Determining Equations of Rational Functions
Ex 1: Find the Equation of Rational Function From a
Graph with a Hole
Ex 2: Find the Equation of Rational Function From a
Graph with a Hole
Ex 3: Find the Equation of Rational Function From a
Graph
Ex 4: Find the Equation of Rational Function From a
Graph (Squared Intercept)
Ex 5: Find the Equation of Rational Function From a
Graph (Squared VA)
Ex 6: Find the Equation of Rational Function From a
Graph (Squared Intercept / VA)
Solving Rational Inequalities
Solving
Rational Inequalities
Ex 1:
Solving Rational Inequalities
Ex 2:
Solving Rational Inequalities
Ex 3:
Solving Rational Inequalities
Ex 4:
Solving Rational Inequalities
Ex
5: Solve a Rational Inequality
Performing Partial Fraction Decomposition
Ex: Setting Up Partial
Fraction Decomposition
Ex 1: Partial Fraction
Decomposition (Linear Factors)
Ex 2: Partial Fraction
Decomposition (Linear Factors)
Ex 3: Partial Fraction
Decomposition (Repeated Linear Factors)
Ex 4: Partial Fraction
Decomposition (Repeated Linear Factors)
Ex 5: Partial Fraction Decomposition (Linear
and Quadratic Factors)
Ex 6: Partial Fraction
Decomposition (Repeating Quadratic Factors)
Exponential and Logarithmic
Expressions, Equations, and Functions
Determining Composite Functions and Composite Function
Values
Composite
Functions
Ex: Intro Composite Function Notation Application
Problem
Ex: Evaluate Composite Functions Using Tables of
Values
Ex: Evaluate Composite Functions from Graphs
Ex: Find and Evaluate a Composition of Three
Functions
Ex: Decompose Functions
Ex 1: Composite Function Values
Ex 2:
Composite Function Values
Ex 1:
Composition of Functions
Ex 1:
Domain of a Composite Function
Ex 2:
Domain of a Composite Function
Ex 3:
Domain of a Composite Function
Ex 4:
Domain of a Composite Function
Ex: Find a Composition of Functions Involving
Rational Functions
Ex: Domain of a Quotient and Composite Functions
Ex: Domain of Composite Function From Graphs
Ex: Inverse Function Notation and Reciprocal of a
Function
Graphing Exponential Functions
Graphing
Exponential Functions
Ex: Determine Exponential Graphs that Have
Specific Characteristics - y = ab^x
Ex: Match Exponential Functions to Graphs
Ex: Exponential Application Solved Using
a Graphing Calculator
Determine if a Table
Represents a Linear or Exponential Function
Ex: End (Long Run) Behavior of Exponential
Functions
Ex: Find the Equation of a Transformed
Exponential Function From a Graph
Ex: Match the Graphs
of Translated Exponential Function to Equations
Ex: Match the Graphs
of Reflected Exponential Functions to Equations
Determining Inverse Functions
Inverse
Functions
Determine if a
Relation Given as a Table is a One-to-One Function
Ex 1: Determine if the Graph of a Relation is a
One-to-One Function
Ex 2: Determine if the Graph of a Relation is a
One-to-One Function
Ex: Find an Inverse Function From a Table
Ex: Function and Inverse Function Values Using a
Table
Ex: Function and Inverse Function Values Using a
Graph
Ex: Restrict the Domain to Make a Function 1 to
1, Then Find the Inverse
Ex: Find Inverse Function Values Without Finding
the Inverse Function
Ex:
Function and Inverse Function Values
Ex: Find the Inverse of a Square Root Function
with Domain and Range
Ex: Find the Inverse of a Rational Function
Ex: Find the Inverse of a Rational Function and
an Inverse Function Value
Ex 1:
Determine If Two Functions Are Inverses
Ex 2:
Determine If Two Functions Are
Inverses
Ex 1:
Find the Inverse of a Function
Ex 2:
Find the Inverse of a Function
Using the Definition of a Logarithm
Introduction
to Logarithms
Ex: Write Exponential Equations as Logarithmic
Equations
Ex: Write Logarithmic Equations as Exponential
Equations
Ex: Write Exponential Equations as Logarithmic
Equations - Variables
Ex: Write Logarithmic Equations As Exponential
Equations - Variables
Ex: Write Exponential Equations with base 10 as
Common Logarithmic Equations
Ex: Write Exponential Equations as Logarithmic
Equations - Natural Logarithms
Ex 1: Evaluate Logarithms Without a Calculator -
Whole Numbers
Ex 2: Evaluate Logarithms Without a Calculator -
Fractions
Ex: Evaluate Common Logarithms on a Calculator
Ex: Evaluate Common Logarithms Without a
Calculator
Ex:
Evaluate Common Logarithms on the Calculator
Ex: Evaluate Natural Logarithms on the Calculator
Graphing Logarithmic Functions
Ex: Graph an Exponential Function and Logarithmic
Function
Ex 1: Match Graphs with Exponential and Logarithmic
Functions
Ex 2: Match Graphs with Exponential and Logarithmic
Functions - Base 10 and e
Ex: Vertical Asymptotes and Domain of Logarithmic
Functions
Ex: Find the Domain of Logarithmic Functions
Using the Properties Logarithms
Properties
of Logarithms
Ex 1: Expand Logarithmic Expressions
Ex 2: Expand Logarithmic Expressions
Ex: Expand a Logarithm
Containing a Radical
Ex: Combine a Sum and Difference of Two
Logarithms
Ex 1: Combine a Logarithmic Expression Into One
Logarithm
Ex 2: Combine a Logarithmic Expression Into One
Logarithm
Ex 1: Evaluate a
Natural Logarithmic Expressing Using the Properties of Logarithms
Ex 2: Evaluate a
Natural Logarithmic Expressing Using the Properties of Logarithms
Ex 3: Evaluate a
Natural Logarithmic Expressing Using the Properties of Logarithms
Ex 4: Evaluate a Natural
Logarithmic Expressing Using the Properties of Logarithms
Ex 5: Evaluate a Natural
Logarithmic Expressing Using the Properties of Logarithms
Evaluating Logarithmic Expressions
Ex 1: Evaluate a Logarithmic Expression Using the
Properties of Logarithms
Ex 1: Evaluate a
Natural Logarithmic Expressing Using the Properties of Logarithms
Ex 2: Evaluate a
Natural Logarithmic Expressing Using the Properties of Logarithms
Ex 3: Evaluate a
Natural Logarithmic Expressing Using the Properties of Logarithms
Ex 4: Evaluate a
Natural Logarithmic Expressing Using the Properties of Logarithms
Ex 5: Evaluate a
Natural Logarithmic Expressing Using the Properties of Logarithms
Ex: Simplify Log Expression with the Base and
Base of the Number are the Same
Ex: Evaluate Exponential Expressions with
Logarithmic Exponents
Logarithm
Review
Logarithms:
Change of Base Formula
Ex: Change of Base Formula to Evaluate
Logarithmic Expressions
Ex: Change of Base Formula to Solve Basic
Exponential Equations
Solving Logarithmic Equations
Solving
Logarithmic Equations
Ex: Solving a Variety
of Logarithmic Equations
Ex: Solve a Basic
Logarithmic Equation - Linear and Quadratic
Ex: Solve Basic Logarithmic Equation - Radicals
Ex: Solve Logarithmic Equations Containing Only
Logarithms
Ex: Solve a Logarithmic Equation With a
Difference - Linear
Ex: Solve a Logarithmic Equation With a Sum -
Quadratic Formula
Ex: Solve a Logarithmic Equation With a
Difference - Quadratic Formula
Ex 1: Solve Basic Logarithmic Equations
Ex 2: Solve Logarithmic Equations
Ex 3: Solve Logarithmic Equations - Base and Number
are the Same
Ex 1: Solve Logarithmic Equations
Ex 2: Solve Logarithmic Equations
Ex 3: Solve Logarithmic Equations
Ex: Solve a Logarithmic Equation - Composite Log
Expression
Ex: Solve a Logarithmic Equation in Terms of
Other Variables
Ex: Solve a
Logarithmic Equation with a Fractional Exponent
Solving Applications Using Logarithmic Equations
Ex: Logarithmic Function Application - Test
Scores
Ex: Logarithm Application - pH
Ex: Exponential Function Application with
Logarithms
Solving Exponential Equations Without Logarithms
Solving
Exponential Equations by Obtaining a Common Base
Ex 1:
Solve Exponential Equations Using Like Bases - No Logarithms
Ex 2:
Solve Exponential Equations Using Like Bases - No Logarithms
Ex 3:
Solve Exponential Equations Using Like Bases - No Logarithms
Ex 4:
Solve Exponential Equations Using Like Bases - No Logarithms
Ex 5:
Solve Exponential Equations Using Like Bases - No Logarithms
Ex 6:
Solve Exponential Equations Using Like Bases - No Logarithms
Solving Exponential Equations With Logarithms
Ex:
Solve an Exponential Equation Graphically on the TI84
Solving
Exponential Equations Using Logarithms
Ex 1: Solve Exponential Equations Using Logarithms
Ex 2: Solve Exponential Equations Using Logarithms
Ex 3: Solve Exponential Equations Using Logarithms
Ex 4: Solve Exponential Equations Using Logarithms
Ex 5: Solve Exponential Equations with Two
Exponential Parts Using Logarithms
Ex: Solve an
Exponential Equation Using Logarithms
Ex: Solve an Exponential Equation with Logarithms
- Variable on Both Sides
Ex: Rewrite Exponential Functions: y = ab^t to y = ae^(kt)
Ex: Rewrite Exponential Functions: y = ae^(kt) to
y = ab^t
Solving Applications of Exponential Growth and Decay
Exponential Growth: Part 1, Part 2
Ex: Use a Given Exponential Growth Function
Ex: Exponential Growth of Bacteria (Intro
Question)
Ex: Exponential Growth Function - Population
Ex: Exponential Function Application Using Logs -
Export Values
Ex: Exponential Growth Function - Bacterial
Growth
Exponential Decay: Part 1, Part 2
Ex: Exponential Decay Function with Logarithms
Ex: Exponential Growth
Application - Predicting World Population
Ex: Exponential Decay Function - Half Life
Exponential Decay
App (y=ab^x) - Given Half Life
Exponential Decay
App (y=ae^(kt)) - Given Half Life
Exponential Decay App
(y=ab^t) - Find Initial Amount Given Half Life
Exponential Decay App
with Logs (y=ae^(kt)) - Find Half Life
Exponential Growth App
(y=ab^t) - Given Doubling Time
Exponential Growth App
(y=ab^t) - Find Initial Amount Given Doubling Time
Exponential Growth App
with Logs (y=ae^(kt)) - Find Initial Amount Given Doubling Time
Ex: Find an Exponential Growth Function Given Two
Points - Initial Value Given
Ex: Find an Exponential Decay Function Given Two
Points - Initial Value Given
Ex: Find an Exponential Function Given Two Points
- Initial Value Not Given
Exponential Function
Application (y=ab^x) - Population Growth of India
Exponential Function
Application (y=ab^x) - Population Decline of Chicago
Exponential Function
Application (y=ab^x) - Depreciation of a Car
Exponential Function
Application (y=ab^x) - Declining Computer Value
Exponential Function
Application (y=ab^x) - Home Values
Exponential Function
Application (y=ae^(kt)) - Bacteria Growth
Solving Applications Using Exponential Equations /
Compounded and Continuous Interest / Exponential Regression
Compounded
Interest
Continuous Interest Formula
Ex 1: Compounded Interest – Quarterly
Ex 2: Compounded Interest with Logarithms
Continuous
Interest Formula - Derivation
Effective
Interest Rate (Effective Yield)
Ex 1: Continuous Interest
Ex 2: Continuous Interest with Logarithms
Ex 3: Continuous Interest with Logarithms and
Doubling Time
Continuous Interest -
Find the Initial Investment Needed
Ex: Perform Exponential Regression on a Graphing
Calculator
Ex: Comparing Linear and Exponential Regression
Ex: Find an Exponential Function for a Semi-Log
Graph
Ex: Newton's Law of Cooling - Exponential
Function App
Exponential Function
App. With Logs (y=ae^(kt))- Radioactive Dye
Ex: Compounded Interest with Different
Compounding
Using the Properties of Hyperbolic Functions
Introduction to Hyperbolic Functions
Prove a Property of Hyperbolic
Functions: (sinh(x))^2 - (cosh(x))^2 = 1
Prove a Property of Hyperbolic
Functions: (tanh(x))^2 + (sech(x))^2 = 1
Prove a Property of Hyperbolic
Functions: sinh(x+y)=sinh(x)cosh(y)+cosh(x)sinh(y)
Prove a Property of Hyperbolic
Functions: (sinh(x))^2=(-1+cosh(2x))/2
Function Transformations
Determining Transformations of Functions
Horizontal
and Vertical Stretches and Compressions
Vertical
and Horizontal Translations or Shifts
Ex: Reflect a Point about the x-axis, y-axis, and
the Origin
Reflections
across the x-axis and y-axis
Summary
of Function Transformations
Ex: Identify Function Translations using Function
Notation
Ex: Identify Horizontal and Vertical Stretches and
Compressions – Function Notation
Ex: Function Notation for Horizontal and Vertical
Stretches and Compressions
Ex:
Equations of a Transformed Exponential Function
Ex 1: Write a Function Rule in Terms of f(x) for a
Transformed Function
Ex 2: Write a Function Rule in Terms of f(x) for a
Transformed Function
Ex 1: Find the
Equation of a Translated Square Root Function Given a Translation
Ex 2: Find the Equation of a Translated Quadratic
Function Given a Tranlsation
Graphing
Multiple Function Transformations Part 1 of 2
Graphing
Multiple Function Transformations Part 2 of 2
Determine a Vertical Stretch or Vertical Compression
Determine a Horizontal Stretch or Horizontal Compression
Ex: Determine a
Function Rule for a Translations from a Table of Values
Ex: Matching Transformations of the Basic Rational
Function
Graphing
Transformations of the Cube Root Function
Graphing and Finding Equations of Transformed Absolute Value
Functions
Ex: Graph an Absolute Value Function Using a
Table of Values
Ex 1: Find the
Equation of a Transformed Absolute Value Function From a Graph
Ex 2: Find the
Equation of a Transformed Absolute Value Function From a Graph
Ex 3: Find the
Equation of a Transformed Absolute Value Function From a Graph
Ex 4: Find the
Equation of a Transformed Absolute Value Function From a Graph
Graphing and Finding Equations of Transformed Square Root
Functions
Reflections of the
Square Root Function
Horizontal and
Vertical Shifts of the Square Root Function
Horizontal and
Vertical Stretches and Compressions of the Square Root Function
Ex 1: Find the Equation of a Transformed Square
Root Function
Ex 2: Find the Equation of a Transformed Square
Root Function
Ex 1: Graphing a Transformation of the Square Root
Function
Ex 2: Graphing a Transformation of the Square Root
Function
Ex: Find the Equation
of a Transformed Square Root Function From a Graph
Function
Transformation Summary - The Square Root Function
Graphing and Finding Equations of Transformed Quadratic and
Exponential Functions
Ex 1: Find the
Equation of a Transformed Quadratic Function From a Graph
Ex 2: Find the
Equation of a Transformed Quadratic Function From a Graph
Ex: Match the Graphs
of Translated Exponential Function to Equations
Ex: Match the Graphs
of Reflected Exponential Functions to Equations
Sequences and Series
Sequences
Introduction
to Sequences
Arithmetic
Sequences
Geometric
Sequences
Ex 1: Finding Terms in a Sequence Given the
Sequence Formula
Ex 2: Finding Terms in a Sequence Given the
Sequence Formula in Fraction Form
Ex 3: Finding Terms in
a Sequence Given the Sequence Formula in Fraction Form
Ex: Finding Terms in a
Sequence Given the Recursive Formula
Define an Arithmetic
and Geometric Sequence
Ex: Determine the Type
of Sequence Given a Sequence Formula
Ex: Determine if a
Sequence is Arithmetic or Geometric (arithmetic)
Ex: Determine if a
Sequence is Arithmetic or Geometric (geometric)
Ex 1: Find the Formula for an Arithmetic or
Geometric Sequence
Ex 2: Find the Formula for an Arithmetic or
Geometric Sequence
Ex: Find the Formula
and Terms of a Arithmetic Sequence
Ex: Find the Formula
and Terms of a Geometric Sequence
Sequences
and Series on the TI84
Series
Arithmetic
Series
Sequences
on the TI84 Graphing Calculator
Geometric
Series
Ex 1: Find a Sum
Written in Summation / Sigma Notation
Ex 2: Find a Sum
Written in Summation / Sigma Notation
Ex: Write a Sum Using
Summation / Sigma Notation
Ex 1: Find the Partial
Sum of an Arithmetic Series
Ex 2: Find the Sum of
an Arithmetic Series
Ex 1: Find the Partial
Sum of an Geometric Series
Ex 2: Find the Sum of
an Geometric Series
Sequences
and Series on the TI84
Infinite Series
Infinite
Geometric Series
Ex 1: Find the Sum of
an Infinite Geometric Series
Ex 2: Find the Sum of
an Infinite Geometric Series
Ex: Arithmetic Series
Application - Number of Auditorium Seats
Ex: Geometric Series
Application - Total Income with Doubling Pay
Mathematical Induction
Mathematical
Induction
Using the The Binomial Theorem / Combinations
Ex 1 :Simplify
Expressions with Factorials
Ex 2: Simplify
Expressions with Factorials Containing Variables
Ex: Evaluate
Combinations
Ex 1: The Binomial
Theorem Using Combinations
Ex 2: The Binomial
Theorem Using Combinations
Ex 3: The Binomial
Theorem Using Combinations
Ex 1: The Binomial
Theorem Using Pascal's Triangle
Ex 2: The Binomial
Theorem Using Pascal's Triangle
Ex 3: The Binomial
Theorem Using Pascal's Triangle
The
Binomial Theorem Using Pascal’s Triangle
Matrices
Introduction to Matrices
Dimensions of a Matrix
Using Augmented Matrices
Introduction
to Augmented Matrices
Augmented
Matrices: Row Echelon Form
Ex 1: Solve a System
of Two Equations with Using an Augmented Matrix (Row Echelon Form)
Ex 2: Solve a System
of Two Equations with Using an Augmented Matrix (Row Echelon Form)
Ex 3: Solve a System
of Two Equations with Using an Augmented Matrix (Row Echelon Form)
Ex 1: Solve a System
of Three Equations with Using an Augmented Matrix (Row Echelon Form)
Ex 2: Solve a System
of Three Equations with Using an Augmented Matrix (Row Echelon Form)
Ex 3: Solve a System
of Three Equations with Using an Augmented Matrix (Row Echelon Form)
Augmented
Matrices: Reduced Row Echelon Form
Ex 1: Solve a System
of Two Equations Using an Augmented Matrix (Reduced Row Echelon Form)
Ex 2: Solve a System
of Two Equations Using an Augmented Matrix (Reduced Row Echelon Form)
Ex 3: Solve a System
of Two Equations Using an Augmented Matrix (Reduced Row Echelon Form)
Ex: Solve a System of
Three Equations Using an Augmented Matrix (Reduced Row Echelon Form)
Augmented
Matrices on the Graphing Calculator
Performing Matrix Operations
Matrix
Addition, Subtraction and Scalar Multiplication
Ex: Matrix Addition
and Subtraction
Ex: Matrix Scalar
Multiplication
Ex: Matrix Operations
- Scalar Multiplication, Addition, and Subtraction
Ex: Matrix Addition Application
- Translation
Ex: Matrix Scalar
Multiplication Application - Dilation
Matrix
Multiplication
Ex 1: Matrix
Multiplication (Basic)
Ex 2: Matrix
Multiplication (2x3)*(3x2)
Ex 3: Matrix
Multiplication (3x2)*(2x3)
Ex Applicaton of
Matrix Multiplication - Transformation
Matrix
Multiplication on the Graphing Calculator
Animation: Matrix Multiplication
Determining Inverse Matrices
The
Identity Matrix
2 x 2
Inverse Matrix Formula
Inverse
Matrices Using Augmented Matrices
Inverse
Matrices on the Graphing Calculator
Ex: Find the Inverse
of a 2x2 Matrix Using a Formula
Ex: Inverse of a 2x2
Matrix Using an Augmented Matrix
Ex 1: Inverse of a 3x3
Matrix Using an Augmented Matrix
Ex 2: Inverse of a 3x3
Matrix Using an Augmented Matrix
Using The Matrix Equation
Matrix
Equations
Ex 1: Solve a System
of Two Equations Using a Matrix Equation
Ex 2: Solve a System
of Two Equations Using a Matrix Equation
Ex: Solve a System of
Three Equations Using a Matrix Equation
Finding and Using Determinants
Determinants
Ex: Determinant of a
2x2 Matrix
Ex 1: Determinant of
3x3 Matrix - Diagonal Method
Ex 2: Determinant of 3x3 Matrix - Diagonal
Method
Ex 1: Determinant of
3x3 Matrix - Cofactor Method
Ex 2: Determinant of
3x3 Matrix - Cofactor Method
Determinants
on the Graphing Calculator
Cramer’s
Rule
Ex: Solve a System of
Two Equations Using Cramer's Rule
Ex: Solve a System of
Three Equations Using Cramer's Rule
Area
Using Determinants
Counting and Probability
The
Counting Principle
Permutations
Combinations
Solving
Counting Problems
Introduction
to Probability
Determining
Probability
Probability
of a Union of Events
Conditional
Probability
Ex:
The Probability of the Complement of an Event
Ex: The Counting Principle and
Probability Using the Counting Principle
Ex: Probability of Events that are
Mutually Exclusive Events
Ex: Probability of Events that are NOT
Mutually Exclusive Events
Ex: Probability using Permutations
(Ordering)
Ex 1:
Probability Using Combinations (Lottery)
Ex 2:
Probability Using Combinations (Groups)
Ex: Determine Odds Using Probability
The
Binomial Theorem using Combinations
Ex 1: The Binomial
Theorem Using Combinations
Ex 2: The Binomial
Theorem Using Combinations
Ex 3: The Binomial
Theorem Using Combinations
Conic Sections
Introduction to Conic Section
Introduction
to Conic Sections
Graphing and Writing Equations of Circles
Conic
Sections: The Circle
Ex: Write the Standard Form of a Circle From a
Graph
Ex: Graph a Circle in
Standard Form
Ex 1: Write the
General Equation of a Circle in Standard Form
Ex 2: Write the
General Equation of a Circle in Standard Form (Fractions)
Ex 3: Write General
Equation of a Circle in Standard Form
(Coefficent Not 1)
Ex 4: Write General
Equation of a Circle in Standard Form
(Coefficent Not 1 and Fractions)
Ex: Find Standard
Equation of a Circle Given Center and Point on the Circle
Ex 1: Find Standard
Equation of a Circle Given the Endpoints of a Diameter
Ex 2: Find Standard
Equation of a Circle Given the Endpoints of a Diameter
Graphing and Writing Equations of Ellipses
Conic
Sections: The Ellipse part 1 of 2
Conic
Sections: The Ellipse part 2 of 2
Ex 1: Graph an Ellipse
with Center at the Origin and Horizontal Major Axis
Ex 2: Graph an Ellipse
with Center at the Origin and Vertical Major Axis
Ex 1: Graph an Ellipse
with Center NOT at the Origin and Horizontal Major Axis
Ex 2: Graph an Ellipse
with Center NOT at the Origin and Vertical Major Axis
Ex: Write the General
Equation of an Ellipse in Standard Form and Graph (Horizontal)
Ex: Write the General
Equation of an Ellipse in Standard Form and Graph (Vertical)
Ex: Find the Equation
of an Ellipse Given Foci and Length of Minor Axis
Ex: Find the Equation
of an Ellipse Given the Center, Focus, and Vertex (Horizontal)
Ex: Find the Equation
of an Ellipse Given the Center, Focus, and Vertex (Vertical)
Ex: Find the Equation
of an Ellipse Given the Center, Vertex, and Eccentricity (Vertical)
Ex: Write the General
Equation of an Ellipse in Standard Form and Graph (Horizontal)
Graphing and Writing Equations of Parabolas
Conic
Sections: The Parabola part 1 of 2
Conic
Sections: The Parabola part 2 of 2
Ex 1: Conic Section:
Parabola with Vertical Axis and Vertex at the Origin (Up)
Ex 2: Conic Section:
Parabola with Vertical Axis and Vertex at the Origin (Down)
Ex 3: Conic Section:
Parabola with Horizontal Axis and Vertex at the Origin (Right)
Ex 4: Conic Section:
Parabola with Horizontal Axis and Vertex at the Origin (Left)
Ex 1: Conic Section:
Parabola with Vertical Axis and Vertex NOT at the Origin (Up)
Ex 2: Conic Section:
Parabola with Vertical Axis and Vertex NOT at the Origin (Down)
Ex 3: Conic Section:
Parabola with Vertical Axis and Vertex NOT at the Origin (Up)
Ex 4: Conic Section:
Parabola with Vertical Axis and Requires Completing the Square (Up)
Ex 5: Conic Section:
Parabola with Vertical Axis and Requires Completing the Square (Down)
Ex 6: Conic Section:
Parabola with Horizontal Axis and Vertex NOT at the Origin (Right)
Ex 7: Conic Section:
Parabola with Horizontal Axis and Vertex NOT at the Origin (Left)
Ex 8: Conic Section:
Parabola with Horizontal Axis and Vertex NOT at the Origin (Right)
Ex 9: Conic Section: Parabola with
Horizontal Axis and Requires Completing the Square (Right)
Ex 10: Conic Section:
Parabola with Horizontal Axis and Requires Completing the Square (Left)
Ex 1: Find the
Equation of a Parabola Given the Focus and Vertex. (Positive a)
Ex 2: Find the
Equation of a Parabola Given the Focus and Vertex. (Negative a)
Graphing and Writing Equations of Hyperbolas
Conic
Sections: The Hyperbola part 1 of 2
Conic
Sections: The Hyperbola part 2 of 2
Ex 1: Conic Section -
Graph a Hyperbola with Center at the Origin (Horizontal)
Ex 2: Conic Section -
Graph a Hyperbola with Center at the Origin (Vertical)
Ex 3: Conic Section -
Graph a Hyperbola with Center NOT at the Origin (Horizontal)
Ex 4: Conic Section -
Graph a Hyperbola with Center NOT at the Origin (Vertical)
Ex: Find the Equation
of a Hyperbola Given the Center, Focus, and Vertex
Determining
the Type of Conic Section from General Form
Set Theory
Introduction
to Set Theory
Introduction
to Subsets
Set
Operations and Venn Diagrams - Part 1 of 2
Set
Operations and Venn Diagrams - Part 2 of 2
Solving
Problems Using Venn Diagrams
Regression
Introduction
to Regression Analysis
Linear Regression – Example 1, Example 2
Quadratic Regression – Example 1, Example 2
Ex 1: Cubic Regression on the TI84 –
Natural Gas Consumption
Ex 2: Cubic Regression on the TI84 -
Total Sales
Exponential Regression – Example 1, Example 2
Logarithmic
Regression
Logistic
Regression
Financial Mathematics
Simple Interest Formula
Compounded
and Continuous Interest
Effective
Yield
Effective
Yield on the TI84
Derive the Value of an Annuity
Formula (Compounded Interest)
Determining
the Value of an Annuity
Determining
the Value of an Annuity Using the TI84
Determining
the Monthly Saving Required to Reach a Financial Goal
Determining
the Monthly Saving Required to Reach a Financial Goal on the TI84
Ex 1: Find a Monthly Mortgage Payment
with a Down Payment
Ex 2: Find a Monthly Mortgage Payment
with a Down Payment and Points
Ex: Comparing Two Installments
Loans (Car Loans)
Ex: Simple Interest Discounted Loan
Determining
the Monthly Payments for a Loan
Determining
the Monthly Payments for a Loan on the TI84
