Worksheets

---

Below are various worksheets that I give out during my classes. These are grouped by class and category and are as close to the original as possible.

• MAT 098
• Notes from class

§ Chapter One

• 1.2 Positive and Negative Numbers
• 1.2 Number Lines
• 1.5 Multiplying Negative Numbers
• 1.7 Combining Like Terms using Coloured Squares
• 1.7 Properties of Real Numbers

§ Chapter Two

• 2.1 – 2.3 Chapter Two Basics
• 2.1 – 2.3 Solving Linear Equations
• 2.7 Inequalities

§ Chapter Three

• 3.1 – 3.2 Lines and Graphing
• 3.4 Slopes of Lines

§ Chapter Four

• 4.1 – 4.2 Integer Exponents
• 4.3 – 4.4 Using Algebra Tiles to Add and Subtract Polynomials PowerPoint Presentation
• 4.5 – 4.6 The Box Method A type of factoring and multiplying

§ Chapter Five

§ 5.1 – 5.3 Factoring Monomials and by Grouping

• Worksheets

§ Chapter One

• 1.1 Translating English into Mathematics
• 1.2 Absolute Value and Positive and Negative Numbers

§ Chapter Two

• 2.1 – 2.2 Basic Operations
• 2.4 Solving for "y"

§ Chapter Three

• 3.2 Graphing Lines Part 1
• 3.4 Graphing Lines and Comparing Slopes
• 3.4 Finding Slopes of Lines

§ Chapter Four

• 4.1 The Basic Laws of Exponents
• 4.1 Exponents Practice
• 4.8 Division of Polynomials

§ Chapter Five

• 5.1 – 5.6 Factoring out Monomials and By Grouping
• 5.1 – 5.6 How to Factor Quadratic Expressions
• 5.1 – 5.6 Factoring Practice - monomials, binomials, factoring by grouping
• 5.1 – 5.6 Simple Factoring of trinomials
• 5.1 – 5.6 Factoring Online factoring page
• 5.1 – 5.6 Factoring Practice Online factoring - with solutions and explanations

o Sample Tests

§ Test 1 Fall 2005

§ Test 2 Fall 2005

§ Test 3 Fall 2005

§ Test 1 Spring 2007

§ Test 2 Spring 2007

§ Test 3 Spring 2007

§ Test 4 Spring 2007

• MAT 191 - College Algebra
• Practice Tests
• Radical Expressions Sections 8.1 - 8.2
• Simplifying Radical Expressions Section 8.3
• Complex Numbers Section 8.7
• Solve Equations by Factoring Section 6.5
• The Quadratic Formula Section 9.2
• Quadratic Inequalities Section 9.5
• Graphs of Parabolas Section 10.2-10.3
• Functions Section 3.5
• Exponential Functions Section 11.2
• Logarithmic Functions Section 11.3
• Laws of Logarithms Section 11.4
• Logarithmic Equations Section 11.6
• Sample Tests
• Winter 2002 Test 1
• Winter 2002 Test 2
• Winter 2002 Test 3
• Winter 2002 Test 4
• Spring 2002 Test 1
• Spring 2002 Test 2
• Spring 2002 Test 3
• Spring 2002 Test 4
• Spring 2002 Test 5
• Fall 2002 Test 1
• Fall 2002 Test 2
• Fall 2002 Test 3
• Fall 2002 Test 4

• MAT 190 - Mathematics Modeling
• Neat links
• Regression Page
• Worksheets
• Sets
• Sets and Set Notation
• Sets Worksheet - Basic
• Sets Worksheet - Practicing combining sets
• Review Topics
• R.3 Exponents Practice
• R.3 Exponents - Challenging Problems
• R.4 Adding and Subtracting Polynomials
• R.4 Pascal's Triangle and Polynomials
• R.5 Factoring out Monomials and By Grouping
• R.5 How to Factor Quadratic Expressions
• R.5 Factoring Practice - monomials, binomials, factoring by grouping
• R.5 Simple Factoring of trinomials
• R.5 Factoring Online factoring page
• R.5 Factoring Practice Online factoring - with solutions and explanations
• R.6 Simplifying Algebraic Fractions
• R.6 Multiplying and Dividing Algebraic Fractions
• R.6 Adding and Subtracting Rational Fractions
• R.7 – R.8 Radicals
• Chapter One
• 1.2 Plotting Points on the Internet
• 1.2 Domain and Range Practice - with maximums and minimums
• 1.2 Average High Temperatures in Augusta, GA - A Line Graph Activity
• 1.3 Functions
• 1.4 Points on a line and Slope of a line
• 1.4 Finding the Slope of a Line - There are three different scenarios here for finding the slope: given an equation, given two points, and given a graph.
• 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
• 2.1 – 2.3 HIV Infection Model Redux
• 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 The Number "e"
• 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
• A Powerpoint presentation on simplifying complex fractions that I did not do. But it is cool. I like it.
• Complex Fractions
• 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
• Logarithmic Functions
• Logarithmic Models
• Chapter Six
• Systems of Equations
• Systems Word Problem Examples
• Sample Tests
• Summer 2006 Test 1
• Summer 2006 Test 2
• Summer 2006 Test 3
• Fall 2006 Test 1
• Fall 2006 Test 2
• Fall 2006 Test 3
• Fall 2006 Test 4
• Winter 2007 Test 1
• Winter 2007 Test 3
• Winter 2007 Test 4
• Spring 2007 Test 2
• Spring 2007 Test 3
• Spring 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
• 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
• 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
• Winter 2008 Test 4
• Answers to Winter 2008 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

• MAT 101 – General Mathematics
• Worksheets
• Chapter One
• 1.8 Order of Operations on Whole Numbers
• 1.10 Word Problem Types
• 1.10 Word Problems Involving Whole Numbers
• Chapter Two
• 2.1 Basic Fraction Practice
• 2.2 Mixed Numbers and Improper Fractions Practice
• 2.3 Finding Factors and Prime Factorization
• 2.4 Simplifying Fractions
• 2.4 Determining equivalency of fractions
• 2.5 Multiplying fractions using rectangles
• 2.5 Multiplying fractions by whole numbers
• 2.7 Division of Fractions
• 2.8 Multiplying and Dividing mixed numbers
• Chapter Three
• 3.1 Adding and Subtracting Fractions
• 3.2 Finding Equivalent Fractions - Preparation for finding common denominators
• 3.2 Finding the Least Common Multiple between two or more numbers
• 3.3 Adding and Subtracting Unlike Fractions - includes spaces for finding common denominators.
• 3.3 Adding and Subtracting Unlike Fractions
• 3.4 Adding and Subtracting Mixed Numbers
• 3.5 Order of Operations with Fractions
• Fraction Word Problems
• Chapter Four
• 4.1 Changing Decimals into Fractions
• Scientific Notation Practice
• 4.2 Rounding Decimals
• 4.3 Adding and Subtracting Decimals
• 4.4 Multiplying Decimals
• 4.5 Division of Decimals
• 4.6 Changing fractions to decimals and Ordering decimals
• Chapter Five
• 5.1 – 5.2 Simplifying Rates and Ratios
• 5.2 Determining the Best Buy
• 5.4 Solving Proportions
• 5.4 Proportions Practice
• 5.5 Proportion Word Problems
• Body Proportions
• Chapter Six
• 6.1 – 6.2 Percents, Fractions, and Decimals
• 6.3 – 6.5 Calculating the Percent of a Number
• 6.6 Commission Word Problems
• 6.6 Percent Problems Involving Discounts
• 6.6 Percent of Increase and Decrease
• 6.6 Percent Problems Involving Taxes
• 6.7 Simple Interest
• Chapter Seven
• 7.1 Volume Conversion in the Standard System – English/American Standard System classroom activity
• 7.1 – 7.3 Mixed conversions - English System and Metric System
• 7.1 – 7.4 Unit conversions - English System and Metric System
• 7.2 – 7.3 Converting within the Metric System
• 7.5 Metric to English Conversion
• 7.5 Metric to English Conversion Group Activity
• Chapter Eight
• 8.1 Introduction to Angles Classifying angles, naming angles, and classifying lines
• 8.2 Special Pairs of Angles - Complementary, Supplementary, and Vertical Angles
• 8.3 – 8.6 Area and Perimeter Practice - Circles, Rectangles, Triangles, and Parallelograms
• 8.3 – 8.6 Geometry Word Problems
• 8.7 Volumes Cylinders and Rectangular Solids
• Handouts
• Chapter One
• 1.8 Order of Operations
• 1.10 Aids to Problem Solving
• 1.10 Definitions of Mathematical Operations
• 1.10 Help with Word Problems – Determining which operation to use in a given word problem
• 1.10 Word Problems with Whole Numbers Examples
• 1.10 Singapore Method
• Chapter Two
• 2.1 – 2.2 Basics of Fractions and Mixed Numbers/Improper Fractions
• 2.3 Finding Factors and Prime Factorization
• 2.5 Multiplication of Fractions
• 2.7 Division of Fractions
• Chapter Three
• 3.2 Finding the Least Common Multiple
• 3.2 How to Tell if Two Fractions are Equivalent or Not
• 3.4 Adding and Subtracting Mixed Numbers
• 2.5 – 3.4 Fraction Word Problems
• 3.5 Comparing Fractions
• Chapter Four
• 4.1 – 4.2 Basics of Decimals and Rounding Decimals
• Scientific Notation
• 4.3 Adding and Subtracting Decimals
• 4.5 Multiplying Decimals by Powers of Ten
• 4.5 Dividing Decimals
• 4.6 Ordering Decimals
• 4.3 – 4.5 Decimal Word Problems
• Chapter Five
• 5.1 – 5.2 Basics of Ratios and Rates
• 5.1 – 5.2 Comments on Rates and Ratios
• 5.2 Types of Rates
• 5.3 Hints for Solving Proportions
• 5.5 Setting up Proportion Word Problems
• 5.5 Proportion Word Problems
• Ratios, Fractions, and Percents
• Chapter Six
• 6.1 – 6.2 Basics of Percents Changing between Percents, Decimals, and Fractions
• 6.4 – 6.5 Solving Percent Problems
• 6.6 Percent Word Problems as Proportions
• 6.6 Percent Word Problems
• Chapter Seven
• Chapters 7 and 8 Conversions you need to know – Make sure you know these for the tests and final exam!
• 7.2 – 7.3 Metric Conversion
• 7.1 – 7.5 Conversion Word Problems
• Chapter Eight
• 8.1 – 8.2 Geometry Terms and Definitions
• 8.3 – 8.6 Perimeter and Area Formula Derivation
• Sample Tests
• Answers to Winter 2008 Tests
• Winter 2008 Test 1
• Winter 2008 Test 2
• Winter 2008 Test 3
• Winter 2008 Test 4
• Answers to Fall 2007 Tests
• Fall 2007 Test 1
• Fall 2007 Test 2
• Fall 2007 Test 3
• Fall 2007 Test 4
• Answers to Summer 2007 Tests
• Summer 2007 Test 1
• Summer 2007 Test 2
• Summer 2007 Test 3
• Summer 2007 Test 4
• Spring 2007 Test 1
• Spring 2007 Test 2
• Spring 2007 Test 3
• Summer 2006 Test 1
• Summer 2006 Test 2
• Summer 2006 Test 3
• Summer 2006 Test 4
• Spring 2006 Test 1
• Spring 2006 Test 2
• Spring 2006 Test 3
• Spring 2006 Test 4
• Fall 2005 Test 2
• Fall 2005 Test 3
• Fall 2005 Test 4
• Summer 2005 Test 1
• Summer 2005 Test 2
• Summer 2005 Test 3
• Spring 2005 Test 1
• Spring 2005 Test 2
• Spring 2005 Test 3
• Spring 2005 Test 4
• Practice Multiple-Choice Tests
• Sections 1.7, 1.8 Whole numbers: Rounding and Order of Operations
• Section 1.10 Whole numbers: Word Problems
• Sections 2.1-2.2 Mixed Numbers and Improper Fractions
• Section 2.3 Prime and Composite Numbers and Factors
• Section 2.4 Simplifying Fractions
• Sections 2.5, 2.7, 2.8 Multiplying and Dividing Fractions and Mixed Numbers
• Sections 3.1, 3.3 Adding and Subtracting Fractions
• Section 3.2 Least Common Multiple/Denominator
• Section 3.4 Adding and Subtracting Mixed Numbers
• Section 3.5 Order of Operations and Ordering Fractions
• Fraction and Mixed Number Word Problems
• Section 4.1 Reading and Writing Decimals
• Section 4.2 Rounding Decimals
• Section 4.3 Adding and Subtracting Decimals
• Sections 4.4-4.5 Multiplying and Dividing Decimals
• Sections 4.1-4.6 Decimal Word Problems
• Sections 5.1-5.2 Simplifying Rates and Ratios
• Section 5.3 Equivalent Proportions
• Section 5.4 Solving Proportions
• Section 5.5 Solving Proportion word Problems
• Sections 6.1-6.2 Converting percents, decimals, and fractions
• Sections 6.4-6.5 Finding Percent, Part, and Whole
• Sections 6.6-6.8 Percent Word Problems
• Section 7.1 Converting in the American/English system
• Sections 7.2-7.3 Converting in the Metric System
• Section 7.5 Metric/English Conversion Word Problems
• Sections 7.3-7.5 Metric Word Problems
• Sections 7.1-7.5 General Conversion Word Problems
• Sections 8.1-8.2 Basic Geometric Concepts
• Sections 8.3, 8.5 - 8.6 Area and Perimeter: Rectangles, Triangles, and Circles
• Sections 8.7 Volume

• MAT 104 - Geometry and Trigonometry
• Worksheets
• Metric Prefixes
• Scientific and Engineering Notation
• Scientific and Engineering Notation Practice
• Pythagorean Theorem
• Pythagorean Triples and Angle Measures
• Pythagorean Theorem Practice
• Geometry
• 6.1 Exploring Polygons and their interior angle measures
• 6.3 Pentominoes Activity - Area and Perimeter
• Geometry Proofs
• Perimeter and Area Review
• 6.5 Volume of a Cylinder Activity using a coffee can!
• 6.5 Volume, Mass, and Density of the Planets
• 6.6 Finding Angle Measures Practice – Angle measures of figures, and complementary/supplementary angles
• 6.8 Similar figures Activity Using Pattern Blocks
• Trigonometry Chapter 6
• 6.1 Degrees chart - Fill in Radians and six trigonometric values for common degree values.
• 6.1 Finding Trigonometric Values of Right Triangles – When given all three sides of the triangle
• 6.1 Finding All Six Trigonometric Values and Side Lengths of Right Triangles – When given two side lengths
• 6.1 Trigonometric Values and Angle Measures
• 6.1 Pythagorean Triples and Angles Measures - An activity based on angle measures and the Pythagorean Theorem
• 6.1 Solving Using the Non-Basic Trigonometric Functions – Solving for a variable using the secant, cosecant, and cotangent.
• 6.1 Baseball and Trigonometry
• 6.1 Degree Conversions – Converting between degree measures in decimals and in minutes and seconds
• 6.1 Practice for Section 6.1
• 6.2 Drawing Diagrams for Right Triangle Trigonometry Word Problems
• 6.2 Angles of Depression and Elevation Word Problems
• 6.3 Coterminal Angles
• 6.4 The Unit Circle - Trigonometric functions when the hypotenuse of the right triangle is 1.
• 6.4 Radian Measure and Arc Length
• Graphs of the six trigonometric functions
• Trigonometry Chapter 8
• Finding Angles with Sine Values - Prep for Law of Sines
• 8.1 The Law of Sines
• 8.2 The Law of Cosines
• 8.2 Laws of Sines and Cosines Applications From Gadsden State Community College
• 8.3 Vectors Practice Sheet
• 8.3 Vectors and Statics
• Notes Given in Class
• MAT 104 Formulas – These are the formulas we use in this class. A handy resourse!
• Geom. 6.5, 6.7 Classifying Triangles
• Geom. 6.5, 6.7 Properties of Isosceles Triangles
• Geom. 6.6 Types and Relationships Between Angles
• Geom. 6.6 Complementary and Supplementary Angles
• Geom. 6.6 Angles Practice
• Geom. 6.6 Finding Angle Measures - Including Variables
• Pythagorean Theorem Practice
• Degrees/Radians/ Trig Values Chart
• Trig 6.1 Degrees, Minutes, Seconds Explanation
• Trig 6.1 Trigonometry Basics - Things to keep in mind.
• Trig 6.1 Trigonometric Ratios Where we get the trig functions
• Trig 6.1 – 6.2 Information for Triangles and Right Triangle Trig Problems
• Trig 6.2 Right Triangle Examples
• Trig 6.2 Right Angle Applications
• Trig 6.2 – 6.4 Airplane Word Problems Dealing with Bearing
• Sample Tests
• Summer 2004 Test 2
• Winter 2005 Test 1
• Winter 2005 Test 3
• Summer 2005 Test 1
• Summer 2005 Test 2
• Summer 2005 Test 3
• Winter 2006 Test 4
• Summer 2006 Test 1
• Summer 2006 Test 2
• Summer 2006 Test 3
• Summer 2006 Test 4
• Winter 2007 Test 1
• Winter 2007 Test 3
• Winter 2007 Test 4
• Summer 2007 Test 1
• Answers Summer 2007 Test 1
• Summer 2007 Test 2
• Answers Summer 2007 Test 2
• Summer 2007 Test 3
• Answers Summer 2007 Test 3
• Summer 2007 Test 4
• Practice Multiple-Choice Tests
• Section 6.1 Right Angle Trigonometry - Solving Triangles
• Sections 6.1, 6.3 Angle measures, Supplementary angles, Complementary angles, etc.
• Section 6.3 Coterminal angles
• Section 6.4 Finding arclength, radius, or angle measures given the arclength
• Section 6.2 Right Angle Trigonometry Word Problems
• Sections 8.1, 8.2 Applications of the Laws of Sines and Cosines
• Section 8.3 Vectors and Applications of Vectors

{ Home * Schedule * Worksheets * Journal * Math Help * Study Skills * Mail }

Sincere thanks goes to Sherita Cash for her time and effort in editing the worksheets for correct answers for the General Mathematics section. She saved me a lot of time and sanity!