Worksheets and Notes – MATH 1101


Neat links

·         Regression Page

 

Worksheets

·         Sets

 

·         Review Topics

 

·         Chapter One

 

·         Chapter Two

§  2.1 Exploring Lines

§  2.1 Graphing Lines In both slope-intercept form and standard form

§  2.2 Finding Linear Equations with a Given Slope and Point – Beginning sheet on using Ax + By = C form for equations of lines instead of slope-intercept form.

§  2.2 Finding Equations of Lines – There are various forms here: Given slope and y-intercept, given slope and point (not y-intercept), and given two points.

§  2.2 Finding Linear Equations – General equations including parallel and perpendicular lines.

§  2.1 – 2.3 Linear Models

§  2.1 – 2.3 More Linear Models – These are from old tests

§  2.2 – 2.3 Forensic Anthropology Activity

§  2.5 Graphing Piecewise Functions

 

·         Chapter Three

§  3.1 Finding the Vertex of a Quadratic Equation that is written in Standard Form

§  3.1 Finding the Vertex of a Quadratic Equation that is written in Vertex Form

§  3.1 Graphing Parabolas in Standard Form

§  3.1 Graphing parabolas in Vertex Form

§  3.1 Graphing Quadratics Using the Internet

§  3.1 – 3.4 Quadratic Models

§  3.1 – 3.4 More Quadratic Models

§  3.2 Quadratic Formula With an example.

§  3.2 More Quadratic Formula

 

·         Chapter Four

§  4.1 – 4.2 Locating Extrema and Intervals where a Function is Increasing and Decreasing

§  4.3 Factoring Polynomials

§  Polynomial Exploration

§  Finding the Equation of a Polynomial Function - Given in steps; with graphs

§  More Finding the Equation of a Polynomial - By looking at graphs

§  Polynomial Models Modeling using polynomial functions.

§  4.7 Rational Exponents and Power Functions

 

·         Chapter Five

§  5.1 Combining Functions

§  5.1 Compositions and Values of Functions

§  5.1 More Compositions  

§  5.2 Inverse Operations Practice - Practice solving for a variable using inverse operations.

§  5.2 Inverse Linear Functions Practice

§  5.2 Inverse Functions

§  5.3 Finding Exponential Functions

§  5.3 More Finding Exponential Functions - With answers at the bottom of the page

§  5.3 Exponential Models

§  5.4 Logarithms

§  5.4 Finding Logarithmic Functions

 

·         Chapter Six

§  6.1 – 6.2 Systems of Equations Using MathGV A graphing exercise for solving systems of equations

§  6.1 – 6.2 Applications of Systems of Equations

§  6.1 – 6.2 Systems of Equations Using Substitution

 

Notes given in class

·         Review Chapter

§  Exponents Integer and Rational

§  Radicals and Roots

§  Polynomials

§  Pascal's Triangle

§  The Box Method A type of factoring and multiplying

§  The AC Method for Factoring

§  Factoring

§  Simplifying Algebraic Fractions Simplifying, Multiplying, and Dividing Algebraic Fractions

§  Adding and Subtracting Algebraic Fractions – Method #1

§  Adding Algebraic Fractions – Method #2

§  Subtracting Algebraic Fractions – Method #2

§  Simplifying Complex Fractions

 

·         Chapter One

§  Domain and Range with Relations

§  Functions

§  Restrictions on the Domain of a Function

§  Practical Examples of Domain

§  Graphing Basic Functions

§  Slopes and Lines

 

·         Chapter Two

§  Graphs of Slopes of Certain Lines

§  Exploring Lines 2

§  General Process for Finding the Equation of a Line

§  Linear Forms  - This is where the point-slope form of a line comes from

§  Fahrenheit/Celsius Example

§  More Examples of Models

§  Median Age Word Problem

§  Water Tank Word Problem

§  Maximum Heart Rates

§  HIV Infection Rate revisited

§  Piecewise Functions Example

 

·         Chapter Three

§  Basic Quadratic Functions

§  Qualities of Parabolas Also includes finding the vertex and graphing non-basic quadratic functions.

§  Vertex Form of a Parabola

§  Comments on Quadratic Models

§  "Throwing a Stone" Example

§  More graphs for the "Throwing a Stone" Example

§  Solving Quadratic Equations

§  Finding the Equation of a Quadratic Function

§  The Classic Handshake Problem

 

·         Chapter Four

§  Polynomial Functions

§  Nifty Examples of Polynomial Functions

§  Finding Roots of Polynomials

§  Using Zeroes to Find Polynomial Functions

§  Solving for "x" in a Rational Equation

 

·         Chapter Five

§  Combining Functions

§  Values of Functions Plugging varying values into a function f(x). Prep for Composition of Functions.

§  Composition of Functions

§  Examples of Compositions

§  Inverse Functions

§  Exponential Functions and Models

§  The Number "e"

§  Logarithmic Functions

§  Logarithmic Models

 

·         Chapter Six

§  Systems of Equations

§  Systems Word Problem Examples

 

Sample Tests 

 

§  Spring 2011 Test 1

§  Answers to Spring 2011 Test 1

§  Spring 2011 Test 2

§  Answers to Spring 2011 Test 2

§  Spring 2011 Test 3

§  Answers to Spring 2011 Test 3

§  Spring 2011 Test 4

§  Answers to Spring 2011 Test 4

§  Summer 2010 Test 1

§  Answers to Summer 2010 Test 1

§  Summer 2010 Test 2

§  Answers to Summer 2010 Test 2

§  Summer 2010 Test 3

§  Answers to Summer 2010 Test 3 

§  Summer 2010 Test 4

§  Answers to Summer 2010 Test 4 

§  Spring 2010 Test 1

§  Answers to Spring 2010 Test 1

§  Spring 2010 Test 2

§  Answers to Spring 2010 Test 2

§  Spring 2010 Test 3

§  Answers to Spring 2010 Test 3

§  Spring 2010 Test 4

§  Answers to Spring 2010 Test 4

§  Fall 2009 Test 1

§  Answers to Fall 2009 Test 1

§  Fall 2009 Test 2

§  Answers to Fall 2009 Test 2

§  Fall 2009 Test 3

§  Answers to Fall 2009 Test 3

§  Fall 2009 Test 4

§  Answers to Fall 2009 Test 4

§  Summer 2009 Test 1

§  Answers to Summer 2009 Test 1

§  Summer 2009 Test 2

§  Answers to Summer 2009 Test 2

§  Summer 2009 Test 3

§  Answers to Summer 2009 Test 3

§  Summer 2009 Test 4

§  Answers to Summer 2009 Test 4

§  Spring 2009 Test 1

§  Answers to Spring 2009 Test 1

§  Spring 2009 Test 2

§  Answers to Spring 2009 Test 2

§  Spring 2009 Test 3

§  Answers to Spring 2009 Test 3

§  Spring 2009 Test 4

§  Answers to Spring 2009 Test 4

§  Winter 2009 Test 1

§  Answers to Winter 2009 Test 1

§  Winter 2009 Test 2

§  Answers to Winter 2009 Test 2

§  Winter 2009 Test 3

§  Answers to Winter 2009 Test 3

§  Winter 2009 Test 4

§  Answers to Winter 2009 Test 4

§  Summer 2008 Test 1

§  Answers to Summer 2008 Test 1

§  Summer 2008 Test 2

§  Answers to Summer 2008 Test 2

§  Summer 2008 Test 3

§  Answers to Summer 2008 Test 3

§  Summer 2008 Test 4

§  Answers to Summer 2008 Test 4

§  Spring 2008 Test 1

§  Answers to Spring 2008 Test 1

§  Spring 2008 Test 2

§  Answers to Spring 2008 Test 2

§  Spring 2008 Test 3

§  Answers to Spring 2008 Test 3

§  Spring 2008 Test 4

§  Answers to Spring 2008 Test 4

§  Winter 2008 Test 1

§  Answers to Winter 2008 Test 1

§  Winter 2008 Test 2

§  Answers to Winter 2008 Test 2

§  Winter 2008 Test 3

§  Answers to Winter 2008 Test 3

§  Fall 2007 Test 1

§  Answers to Fall 2007 Test 1

§  Fall 2007 Test 2

§  Answers to Fall 2007 Test 2

§  Fall 2007 Test 3

§  Answers to Fall 2007 Test 3

§  Fall 2007 Test 4

§  Answers to Fall 2007 Test 4

§  Summer 2007 Test 1

§  Answers to Summer 2007 Test 1

§  Summer 2007 Test 2

§  Answers to Summer 2007 Test 2

§  Summer 2007 Test 3

§  Answers to Summer 2007 Test 3

§  Summer 2007 Test 4

§  Answers to Summer 2007 Test 4

 

 

Practice Multiple-Choice Tests

§  Radicals Sections R.7-R.8

§  Exponents - Integer and Rational Sections R.3, 4.7

§  Polynomials Addition, Subtraction, and Multiplication: Section R.4

§  Factoring Section R.5

§  Rational Expressions - Section R.6: Simplifying, Adding, Subtracting, Multiplying and Dividing Rational Expressions and Complex Fractions Section R.6

§  Linear Models Sections 1.4 - 2.3

§  Piecewise Functions Section 2.5

§  Graphing Quadratic Functions Section 3.1

§  Finding the Vertex of a Parabola Section 3.1

§  Models of Quadratic Functions Sections 3.1 - 3.2, 3.4

§  Polynomial Equations Sections 4.1 - 4.3

§  Polynomial Models Various models from Chapter 4.

§  Exponential and Logarithmic models Sections 5.3-5.4

 

 

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