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MAC1105  -  College Algebra
Handouts & Worksheets


 

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

 

Graph Paper:   05x05   08x08-1   08x08-4   08x08-9   08x08-9table   08x08-12
                         08x08-12blank   10x10-12   16x16-1   All & more in Word format
Projects:   Projects: Analyze the Graph, Graphing Grid for Picture, MyMathLab, Research Report
     
Chapter R
  Basic Concepts of Algebra (Review Chapter)

R.1

  The Number System: Outline
R.2   Laws of Exponents: Rules: Rules1Rules2
R.3   Defining and Classifying Polynomials: Summary ,  FOIL WorksheetKey
R.4   Factoring Polynomials:  SummaryFactor3 , Key3FactorS , KeySFactor5Key5
R.5   Solve Linear Equations:  Worksheet2 , Key2Worksheet3 , Key3
R.7   Laws of Exponents: Rules2
 
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 , Class Worksheet Key , Extra Worksheet2

Calculator

  TI-83/84 Graphing Calculator: Basics , Computations 2 - Homework Key
1.2
  Functions - Definition, Vertical Line Test, Domain & Range 2 - Class Worksheet

1.2

Domain & Range:  See page 89 in textbook for excellent summary

1.2

  Analyze the Graph Class Worksheet - Class Worksheet , Key
1.3
  Define the SLOPE of a line :  slope formula :  m = (y2 - y1) / (x2 - x1)Notes

1.3

 

Understanding Slope and Y-Intercepts 1 - Notes Larger Graphs

1.3
  Find an Equation of a Line Using Slope & Y-Intercept - Notes
1.3
  Slopes and Y-Intercepts 3   -  Extra Worksheet Key
1.4
  Find an Equation of a Line Using Slope & Y-Intercept 1 -  Class Worksheet Key

1.4

 

Graphing Lines Using Slope and Y-Intercept 1  -  Extra WorksheetKey

1.4
  Scatter Diagrams and Curve Fitting - TI-83/84  -  Notes
1.5
Solve Linear Equations: Extra Worksheet3 , Key3
1.5 Linear Functions: Zero / X-Intercept / Solution - Notes
1.5 Long Distance Phone Rates 2 - Homework ,  EXCEL Graph Example
1.6 Solving Linear Inequalities 1  -  Extra WorksheetKey1: ( ) , [ ] , Key2: o , •
 
Chapter 2
  More on Functions
2.1
  Analyze the Graph Class Worksheet - Homework , Key
2.1
  Sign Graph - Determine the sign of  f(x) - Notes
2.1
  Examine the Graph 1 - Class Worksheet
2.1
  Increasing / Decreasing / Constant Functions - Notes , PowerPoint , Advanced Summary
2.1
  Examine the Graph 2 - Class Worksheet

2.1

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

2.1

  Graphing Piecewise-Defined Functions 1 - Class Worksheet

2.2

  Combinations of Functions - Notes
2.2
  The Average Rate of Change of a Function - Notes

2.2

  The Difference Quotient -  Notes-TheoryExample
2.4
  Symmetry - About the x-axis, y-axis, origin - Notes ,  Extra Worksheet & Graphs
2.4
 

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

2.4

 

Parent Functions  - Notes

2.4

 

Graphing Transformations:  Notes - Outline  ,  Notes - Summary

2.4
  Graphing y = a x^2  -   Notes , Notes - "Slope"
2.4
  Transforming Parabolas - Class WorksheetLarge Graphs
2.4

 

Graphing Parabolas - Extra WorksheetKey

2.4

 

Graphing Transformations 2 (Find the Equation of Parabolas) -  Homework Key

2.4

  Transforming Parent Functions -  Class WorksheetLarge Graphs
2.4
  Graphing Transformations 4  (Find the Equation of Parent Fcns.) -  Homework
2.4
  Transformations: Find an Equation of Piecewise-Defined Functions 1 -  Extra Examples
2.4

 

Graphing Transformations 3 (Piecewise defined functions) - Extra Example , Extra Worksheet

2.4
  Graphing Transformations Trig I - Notes
2.4
  Graphing Piecewise-Defined Functions 2 - ClassWorksheet

 

Chapter 3
  Quadratic Functions and Equations; Inequalities
3.1   Number System: Extra Outline
3.1   Complex Numbers - Extra Viewpoint: EqualityGraph & ModulusArgumentTrig Form ,
Addition - parallelogram vs. vectorsSubtraction
Multiplication
3.2   TI-83/84 Plus Graphing Calculator Solving Equations Summary - Extra Summary
3.2   Functions: Zeros / X-Intercepts / Solutions / Factors - Class Notes
3.2   Solving Equations with your Graphing Calculator 2 - HomeworkKey  (MoreKey)
3.2   Complete the Square Method  ,  Class Notes ,  Large Print
3.2   Quadratic Formula:  Proof  ,  Discriminant  ,  Homework Key
3.3   Maximizing "Enclosed" Area -  Homework
GRAPH Animations:  ex) 1  ,  ex) 2  ,  ex) 3  ,  ex) 4
 
Chapter 4
  Polynomial and Rational Functions

4.1

 

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

4.1
  Polynomials: Definitions, Classify, Properties - Notes  ,  Notes: End Behavior
4.1
  Functions: Zeros / X-Intercepts / Solutions / Factors - Notes
4.1
  Repeated Zeros of a Polynomial, 3 Cases - Notes
4.1
  Factoring Polynomials: Zeros and Multiplicity Summary - Notes

4.1

 

Factoring a Polynomial by Using Its Graph 1  - Class Worksheet Key

4.1

 

Factoring a Polynomial by Using Its Graph 2 - HomeworkKey

4.2

  Intermediate Value Theorem - Notes

4.4

  SUMMARY: Factor / Find Zeros of Polynomials 1 - Homework

4.5

 

Rational Functions and Asymptotes Summary  -  NotesNotes: Advanced

4.5   Find an Equation of the Rational Function given a Table of Values -  Notes

4.5

 

Rational Functions:   Notes: Hole  ,  Notes: Slant Asymptote  ,  Notes: Special Cases

4.6

  Solving Inequalities by Table - Extra Summary
 
Chapter 5
  Exponential and Logarithmic Functions

5.1 - 5.6

 

Exponential and Logarithmic Functions Summary - Notes: Summary

5.1

 

One-to-one Functions:  Notes: Definition  ,  Notes: Parents Extra Graphs1  ,  Extra Graphs2

5.1

 

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

5.1

  Functions and Inverses  -  Homework

5.2

  Magic Penny Problem - Class Worksheet

5.2

 

Exponential Functions  -  Notes1Notes2 , Notes3 , Class Worksheet

5.2
  Translating Exponential Functions - Notes
5.2
  Estimating Exponential Functions - Extra Notes
5.2
  Doubling Rice Grains - Notes , supporting calculations
5.2
  Power Functions vs. Exponential Functions - Notes
5.2
  Visualize Powers of 10 - Web Link
5.2 & 5.6
  Drug Medication - Homework

5.3 & 5.4

  Laws of Exponents 2 -  Notes

5.6

  Compound Interest  -  Proof  ,  Class Worksheet Key

5.3

  Logarithmic Functions - Notes1Notes2

5.3

 

Exponential and Logarithmic Functions Symmetry - Notes

5.3
  Estimating Logarithmic Functions - Extra Notes

5.6

  Healing of Wounds - Class Worksheet

5.6

  Monthly Payment Formula - Notes
5.6
  Carbon-14 Dating - EXTRA: Notes1 , Notes1- Large Print , Notes2 , Notes3 , Report

5.6

  Exponential function vs. Logistics function -  Notes

 

Chapter 6
  Systems of Equations and Matrices
6.1
  Systems of Linear Equations -  Notes: Summary of 3 Cases  ,  Notes: Example of 3 Methods
6.3
  Solving Systems of Linear Equations Using the TI-83/84 - Notes

6.3

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

6.3

  Matrix Row Transformations - Notes
6.3
  Solving Systems of Linear Equations - Gaussian Elimination - Handout , Larger Print
6.4   Properties of Matrices - Notes
6.8   Partial Fraction Decomposition - Summary
    Solving Systems of Non-Linear Equations - Notes
     

 

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