MAC 1105 - College Algebra
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Review Handouts and Worksheets |
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Arithmetic Study Guide - Courtesy of AIMS Community College - Worksheet |
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Prep Algebra Study Guide - Courtesy of AIMS Community College - Worksheet |
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Algebra Study Guide - Courtesy of AIMS Community College - Worksheet |
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Comprehensive List of Links for ALL Math Courses - Links | |||||||||||||||
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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 |
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| Analyze the Graph - Blank Template , Example | ||||||||||||||||
| Graphing Grid for Picture - Template , Directions , Example 1 , Ex2 , Ex3 , Ex4 | ||||||||||||||||
| MathXL Quizzes : Deadlines & Link to MathXL Website | ||||||||||||||||
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Research Report : Criteria, Guidelines & Suggested Topics | ||||||||||||||
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Chapter
1
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Graphs, Functions, and Models | |||||||||||||||
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1.1
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The Distance Formula (Proof) - Notes | |||||||||||||||
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1.1
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The Midpoint Formula (Proof) - Notes | |||||||||||||||
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1.1
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Find an Equation of a Circle - Class Worksheet , Homework , Key | |||||||||||||||
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Calculator |
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BASICS: Using the TI-83/84 Graphing Calculator - Handout |
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Calculator |
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1.2 |
Analyze the Graph Class Worksheet - Class Worksheet , Key | |||||||||||||||
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1.2
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Functions - Definition, Vertical Line Test, Domain & Range 2 - Class Worksheet | |||||||||||||||
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1.2 |
Sign Graph - Determine the sign of f(x) - Notes | |||||||||||||||
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1.2 |
Examine the Graph 1 - Class Worksheet | |||||||||||||||
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1.3
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Define
the SLOPE of a line : |
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1.3
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The Average Rate of Change of a Function - Notes | |||||||||||||||
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1.4 |
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Understanding Slope and Y-Intercepts 1 - Handout , Larger Graphs |
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1.4
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Find an Equation of a Line Using Slope & Y-Intercept - Notes | |||||||||||||||
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1.4
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Slopes and Y-Intercepts 3 - Worksheet , Key | |||||||||||||||
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1.4
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Find an Equation of a Line Using Slope & Y-Intercept 1 - Homework , Key | |||||||||||||||
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1.4 |
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Graphing Lines Using Slope and Y-Intercept 1 - Worksheet , Key |
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1.4
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Scatter Diagrams and Curve Fitting - TI-83/84 - Handout | |||||||||||||||
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1.5
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Analyze the Graph Class Worksheet - Class Worksheet / Homework , Key | |||||||||||||||
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1.5
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Increasing / Decreasing / Constant Functions - Notes , PowerPoint , Advanced Summary | |||||||||||||||
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1.5 |
Finding the Maximum Volume of a Box - Box: PDF , Word ; Table: PDF , Excel | |||||||||||||||
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1.5 |
Examine the Graph 2 - Class Worksheet | |||||||||||||||
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1.5
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Graphing Piecewise-Defined Functions 1 - Class Worksheet | |||||||||||||||
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1.5
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First-Class Mail Example - Example | |||||||||||||||
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1.6 |
Combinations of Functions - Notes | |||||||||||||||
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1.7
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Symmetry - About the x-axis, y-axis, origin - Notes , Worksheet , Graphs | |||||||||||||||
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1.7
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1.7 |
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Parent Functions - Handout |
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1.7 |
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1.7
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Graphing
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1.7 |
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Graphing Transformations 1 (Find the Equation of Parabolas) - Worksheet , Key |
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1.7 |
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Graphing Transformations 2 (Find the Equation of Parabolas) - Homework , Key |
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1.7 |
Graphing Transformations 4 (Find the Equation of Parent Fcns.) - Homework | |||||||||||||||
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1.7 |
Transformations: Find an Equation of Piecewise-Defined Functions 1 - Notes | |||||||||||||||
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1.7 |
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Graphing Transformations 3 (Piecewise defined functions) - Notes , Worksheet |
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1.7
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Graphing Transformations Trig I - Notes | |||||||||||||||
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1.7
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Graphing Piecewise-Defined Functions 2 - Homework | |||||||||||||||
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Chapter
2
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Functions, Equations, and Inequalities | |||||||||||||||
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2.1
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Linear Functions: Zero / X-Intercept / Solution - Handout | |||||||||||||||
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2.1
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Long Distance Phone Rates 2 - Homework , EXCEL Graph | |||||||||||||||
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2.1
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TI-83/84 Plus Graphing Calculator Solving Equations Summary - Handout | |||||||||||||||
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2.3
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Functions: Zeros / X-Intercepts / Solutions / Factors - Class Handout | |||||||||||||||
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2.3 |
Solving Equations with your Graphing Calculator 2 - Homework , Key (More , Key) | |||||||||||||||
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2.3 |
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Complete the Square Method , Handout , Large Print |
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2.3
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Quadratic Formula: Proof , Discriminant , Class Worksheet , Key | |||||||||||||||
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Chapter
3
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Polynomial and Rational Functions | |||||||||||||||
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3.1 |
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Power Functions: |
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3.1
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Polynomials: Definitions, Classify, Properties - Notes , End Behavior | |||||||||||||||
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3.1
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Functions: Zeros / X-Intercepts / Solutions / Factors - Handout | |||||||||||||||
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3.1
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Repeated Zeros of a Polynomial, 3 Cases - Handout1 , Handout2 | |||||||||||||||
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3.1
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Factoring Polynomials: Zeros and Multiplicity Summary - Handout | |||||||||||||||
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3.1 |
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Factoring a Polynomial by Using Its Graph 1 - Class Worksheet , Key |
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3.1 |
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Factoring a Polynomial by Using Its Graph 2 - Homework , Key |
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3.1-3.3 |
Factor / Find Zeros of Polynomials 1 - Homework | |||||||||||||||
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3.1 |
Intermediate Value Theorem - Notes | |||||||||||||||
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3.4 |
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Rational Functions and Asymptotes Summary - Handout , Advanced |
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3.4 |
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Rational Functions: Slant Asymptote , Hole , Special Cases |
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3.5 |
Solving Inequalities by Table - Notes | |||||||||||||||
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Chapter
4
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Exponential and Logarithmic Functions | |||||||||||||||
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4.1 - 4.6 |
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Exponential and Logarithmic Functions Summary - Handout |
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4.1 |
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One-to-one Functions: Definition , Graphs1 , Graphs2 |
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4.1 |
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Steps to Find the Inverse Function Example - Complete Example , Outline |
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4.1 |
Functions and Inverses - Homework | |||||||||||||||
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4.2 |
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4.2
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Translating Exponential Functions - Notes | |||||||||||||||
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4.2
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Estimating Exponential Functions - Notes | |||||||||||||||
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4.2
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Doubling Rice Grains - Notes | |||||||||||||||
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4.2
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Power Functions vs. Exponential Functions - Notes | |||||||||||||||
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4.2
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Visualize Powers of 10 - Web Link | |||||||||||||||
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4.2&4.6
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Drug Medication - Homework | |||||||||||||||
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4.3 |
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Laws of Exponents 2 - Rules - Notes |
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4.3 |
Logarithmic Functions - Notes1 , Notes2 | |||||||||||||||
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4.3 |
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Exponential and Logarithmic Functions Symmetry - Notes |
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4.3
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Estimating Logarithmic Functions - Notes | |||||||||||||||
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4.6 |
Healing of Wounds - Notes | |||||||||||||||
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4.6 |
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Compound Interest - Proof , Class Worksheet , Key |
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4.6 |
Monthly Payment Formula - Notes | |||||||||||||||
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4.6
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Carbon-14 Dating - Notes1 , Notes1- Large Print , Notes2 , Notes3 | |||||||||||||||
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Chapter
5
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Systems of Equations and Matrices | |||||||||||||||
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5.1
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Systems of Linear Equations - Summary of 3 Cases , Example of 3 Methods | |||||||||||||||
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5.3
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Solving Systems of Linear Equations Using the TI-83/84 - Handout | |||||||||||||||
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5.3 |
Solving Systems of Linear Equations - 3-D Graph - 3-D Graph | |||||||||||||||
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5.3 |
Matrix Row Transformations - Notes | |||||||||||||||
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5.3
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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 | ||||||||||||||||
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If you find any errors, please notify me at pfalzone@pjc.edu |
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