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Open Resources for Community College Algebra
Portland Community College Faculty
Contents
Index
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Contents
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Front Matter
Colophon
Acknowledgements
To All
Pedagogical Decisions
Entering WeBWorK Answers
I
Linear Equations and Lines
1
Variables, Expressions, and Equations
Variables and Evaluating Expressions
Combining Like Terms
Comparison Symbols and Notation for Intervals
Equations and Inequalities as True/False Statements
Solving One-Step Equations
Solving One-Step Inequalities
Algebraic Properties and Simplifying Expressions
Modeling with Equations and Inequalities
Variables, Expressions, and Equations Chapter Review
2
Linear Equations and Inequalities
Solving Multistep Linear Equations
Solving Multistep Linear Inequalities
Linear Equations and Inequalities with Fractions
Special Solution Sets
Isolating a Linear Variable
Linear Equations and Inequalities Chapter Review
3
Graphing Lines
Cartesian Coordinates
Graphing Equations
Exploring Two-Variable Data and Rate of Change
Slope
Slope-Intercept Form
Point-Slope Form
Standard Form
Horizontal, Vertical, Parallel, and Perpendicular Lines
Summary of Graphing Lines
Graphing Lines Chapter Review
4
Systems of Linear Equations
Solving Systems of Linear Equations by Graphing
Substitution
Elimination
Systems of Linear Equations Chapter Review
II
Preparation for STEM
5
Exponents and Polynomials
Adding and Subtracting Polynomials
Introduction to Exponent Rules
Dividing by a Monomial
Multiplying Polynomials
Special Cases of Multiplying Polynomials
More Exponent Rules
Exponents and Polynomials Chapter Review
6
Radical Expressions and Equations
Square and
n
th Root Properties
Rationalizing the Denominator
Radical Expressions and Rational Exponents
Solving Radical Equations
Radical Expressions and Equations Chapter Review
7
Solving Quadratic Equations
Solving Quadratic Equations by Using a Square Root
The Quadratic Formula
Complex Solutions to Quadratic Equations
Solving Equations in General
Solving Quadratic Equations Chapter Review
8
Quantities in the Physical World
Scientific Notation
Unit Conversion
Geometry Formulas
Geometry Applications
Quantities in the Physical World Chapter Review
9
Topics in Graphing
Review of Graphing
Key Features of Quadratic Graphs
Graphing Quadratic Expressions
Graphically Solving Equations and Inequalities
Topics in Graphing Chapter Review
III
Preparation for College Algebra
10
Factoring
Factoring Out the Common Factor
Factoring by Grouping
Factoring Trinomials with Leading Coefficient One
Factoring Trinomials with a Nontrivial Leading Coefficient
Factoring Special Polynomials
Factoring Strategies
Solving Quadratic Equations by Factoring
Factoring Chapter Review
11
Functions
Function Basics
Domain and Range
Using Technology to Explore Functions
Simplifying Expressions with Function Notation
Technical Definition of a Function
Functions Chapter Review
12
Rational Functions and Equations
Introduction to Rational Functions
Multiplication and Division of Rational Expressions
Addition and Subtraction of Rational Expressions
Complex Fractions
Solving Rational Equations
Rational Functions and Equations Chapter Review
13
Graphs and Equations
Overview of Graphing
Quadratic Graphs and Vertex Form
Completing the Square
Absolute Value Equations
Solving Mixed Equations
Compound Inequalities
Solving Inequalities Graphically
Graphs and Equations Chapter Review
Appendices
A
Basic Math Review
Arithmetic with Negative Numbers
Fractions and Fraction Arithmetic
Absolute Value and Square Root
Percentages
Order of Operations
Set Notation and Types of Numbers
B
Unit Conversions
C
PCC Course Content and Outcome Guides
MTH 60
MTH 65
MTH 95
Index
Authored in PreTeXt
permalink
Chapter
11
Functions
ΒΆ
11.1
Function Basics
11.2
Domain and Range
11.3
Using Technology to Explore Functions
11.4
Simplifying Expressions with Function Notation
11.5
Technical Definition of a Function
11.6
Functions Chapter Review
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