MAC 1105  -  College Algebra
Handouts & Worksheets


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Review Handouts and Worksheets

 

Arithmetic Study Guide - Courtesy of AIMS Community College - Worksheet

 

Prep Algebra Study Guide - Courtesy of AIMS Community College - Worksheet

 

Algebra Study Guide - Courtesy of AIMS Community College - Worksheet

 

Comprehensive List of Links for ALL Math Courses - Links

 

 

 

Misc. Templates
  Graph Paper:   05x05   08x08-1   08x08-4   08x08-9   08x08-9table   08x08-12
                         08x08-12blank   10x10-12   16x16-1   All & more in Word format
  Analyze the Graph - Blank Template , Example
  Graphing Grid for Picture  -  TemplateDirections , Example 1 , Ex2 , Ex3 , Ex4
  MathXL Quizzes :   Deadlines & Link to MathXL Website

 

Research Report :   Criteria, Guidelines & Suggested Topics
     
Chapter 1
  Graphs, Functions, and Models
1.1
  The Distance Formula (Proof) - Notes
1.1
  The Midpoint Formula (Proof) - Notes
1.1
  Find an Equation of a Circle - Class Worksheet , Homework , Key

Calculator

 

BASICS:  Using the TI-83/84 Graphing Calculator - Handout

Calculator

 

Graphing Calculator Computations 2 - HomeworkKey

1.2

  Analyze the Graph Class Worksheet - Class Worksheet , Key
1.2
  Functions - Definition, Vertical Line Test, Domain & Range 2 - Class Worksheet

1.2

  Sign Graph - Determine the sign of  f(x) - Notes

1.2

  Examine the Graph 1 - Class Worksheet
1.3
  Define the SLOPE of a line :  slope formula :  m = (y2 - y1) / (x2 - x1)Notes
1.3
  The Average Rate of Change of a Function - Notes

1.4

 

Understanding Slope and Y-Intercepts 1 - Handout , Larger Graphs

1.4
  Find an Equation of a Line Using Slope & Y-Intercept - Notes
1.4
  Slopes and Y-Intercepts 3   -  WorksheetKey
1.4
  Find an Equation of a Line Using Slope & Y-Intercept 1 -  HomeworkKey

1.4

 

Graphing Lines Using Slope and Y-Intercept 1  -  WorksheetKey

1.4
  Scatter Diagrams and Curve Fitting - TI-83/84  -  Handout
1.5
  Analyze the Graph Class Worksheet - Class Worksheet / Homework , Key
1.5
  Increasing / Decreasing / Constant Functions - Notes , PowerPoint , Advanced Summary

1.5

  Finding the Maximum Volume of a Box - Box: PDF , Word ; Table: PDF , Excel

1.5

  Examine the Graph 2 - Class Worksheet
1.5
  Graphing Piecewise-Defined Functions 1 - Class Worksheet
1.5
  First-Class Mail Example - Example

1.6

  Combinations of Functions - Notes
1.7
  Symmetry - About the x-axis, y-axis, origin - Notes , Worksheet , Graphs
1.7
 

Symmetry - Even / Odd Functions - Notes 1  ,  Notes 2

1.7

 

Parent Functions  - Handout

1.7

 

Graphing Transformations:  Outline  ,  Summary

1.7
  Graphing y = a x^2  -   Notes , "slope"

1.7

 

Graphing Transformations 1  (Find the Equation of Parabolas) - WorksheetKey

1.7

 

Graphing Transformations 2 (Find the Equation of Parabolas) -  HomeworkKey

1.7

  Graphing Transformations 4  (Find the Equation of Parent Fcns.) -  Homework

1.7

  Transformations: Find an Equation of Piecewise-Defined Functions 1 -  Notes

1.7

 

Graphing Transformations 3 (Piecewise defined functions) - Notes , Worksheet

1.7
  Graphing Transformations Trig I - Notes
1.7
  Graphing Piecewise-Defined Functions 2 - Homework

 

 

Chapter 2
  Functions, Equations, and Inequalities
2.1
  Linear Functions: Zero / X-Intercept / Solution - Handout
2.1
  Long Distance Phone Rates 2 - Homework , EXCEL Graph
2.1
  TI-83/84 Plus Graphing Calculator Solving Equations Summary - Handout
2.3
  Functions: Zeros / X-Intercepts / Solutions / Factors - Class Handout

2.3

  Solving Equations with your Graphing Calculator 2 - HomeworkKey  (MoreKey)

2.3

 

Complete the Square Method  ,  Handout ,  Large Print

2.3
  Quadratic Formula:  Proof  ,  Discriminant  ,  Class WorksheetKey

 

 

Chapter 3
  Polynomial and Rational Functions

3.1

 

Power Functions: f(x) = x^n  -  Notes , NotesEnd Behavior

3.1
  Polynomials: Definitions, Classify, Properties - Notes  ,  End Behavior
3.1
  Functions: Zeros / X-Intercepts / Solutions / Factors - Handout
3.1
  Repeated Zeros of a Polynomial, 3 Cases - Handout1  ,  Handout2
3.1
  Factoring Polynomials: Zeros and Multiplicity Summary - Handout

3.1

 

Factoring a Polynomial by Using Its Graph 1  - Class WorksheetKey

3.1

 

Factoring a Polynomial by Using Its Graph 2 - HomeworkKey

3.1-3.3

  Factor / Find Zeros of Polynomials 1 - Homework

3.1

  Intermediate Value Theorem - Notes

3.4

 

Rational Functions and Asymptotes Summary  -  HandoutAdvanced

3.4

 

Rational Functions:  Slant Asymptote  ,  Hole  ,  Special Cases

3.5

  Solving Inequalities by Table - Notes
     
Chapter 4
  Exponential and Logarithmic Functions

4.1 - 4.6

 

Exponential and Logarithmic Functions Summary - Handout

4.1

 

One-to-one Functions:  Definition  ,  Graphs1  ,  Graphs2

4.1

 

Steps to Find the Inverse Function Example - Complete Example  ,  Outline

4.1

  Functions and Inverses  -  Homework

4.2

 

Exponential Functions  -  Notes1Notes2 , Notes3

4.2
  Translating Exponential Functions - Notes
4.2
  Estimating Exponential Functions - Notes
4.2
  Doubling Rice Grains - Notes
4.2
  Power Functions vs. Exponential Functions - Notes
4.2
  Visualize Powers of 10 - Web Link
4.2&4.6
  Drug Medication - Homework

4.3

 

Laws of Exponents 2 -   Rules  - Notes

4.3

  Logarithmic Functions - Notes1Notes2

4.3

 

Exponential and Logarithmic Functions Symmetry - Notes

4.3
  Estimating Logarithmic Functions - Notes

4.6

  Healing of Wounds - Notes

4.6

 

Compound Interest  -  Proof  ,  Class WorksheetKey

4.6

  Monthly Payment Formula - Notes
4.6
  Carbon-14 Dating - Notes1 , Notes1- Large Print , Notes2 , Notes3
     
Chapter 5
  Systems of Equations and Matrices
5.1
  Systems of Linear Equations -  Summary of 3 Cases  ,  Example of 3 Methods
5.3
  Solving Systems of Linear Equations Using the TI-83/84 - Handout

5.3

  Solving Systems of Linear Equations - 3-D Graph - 3-D Graph

5.3

  Matrix Row Transformations - Notes
5.3
  Solving Systems of Linear Equations - Gaussian Elimination - Handout , Larger Print
5.4   Properties of Matrices - Notes
5.8   Partial Fraction Decomposition - Summary
    Solving Systems of Non-Linear Equations - Notes
     

 

If you find any errors, please notify me at  pfalzone@pjc.edu