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Lane ORCCA (2020–2021):
Open Resources for Community College Algebra
Portland and Lane Community College Faculty
Contents
Index
Calc
Prev
Up
Next
Contents
Prev
Up
Next
Front Matter
Colophon
Acknowledgements
To All
Pedagogical Decisions
Entering WeBWorK Answers
1
Basic Math Review
Arithmetic with Negative Numbers
Fractions and Fraction Arithmetic
Unit Analysis
Absolute Value and Square Root
Order of Operations
Set Notation and Types of Numbers
Comparison Symbols and Notation for Intervals
Basic Math Chapter Review
2
Variables, Expressions, and Equations
Variables and Evaluating Expressions
Geometry Formulas
Combining Like Terms
Equations and Inequalities as True/False Statements
Solving One-Step Equations
Solving One-Step Inequalities
Percentages
Modeling with Equations and Inequalities
Simplifying Expressions
Variables, Expressions, and Equations Chapter Review
3
Linear Equations and Inequalities
Solving Multistep Linear Equations
Solving Multistep Linear Inequalities
Linear Equations and Inequalities with Fractions
Isolating a Linear Variable
Ratios and Proportions
Special Solution Sets
Linear Equations and Inequalities Chapter Review
4
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
5
Systems of Linear Equations
Solving Systems of Linear Equations by Graphing
Substitution
Elimination
Applications of Systems of Linear Equations
Systems of Linear Equations Chapter Review
6
Exponents and Polynomials
Introduction to Exponent Rules
Exponent Rules
Scientific Notation
Adding and Subtracting Polynomials
Multiplying Polynomials
Special Cases of Multiplying Polynomials
Dividing by a Monomial
Exponents and Polynomials Chapter Review
7
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
8
Rational Functions and Equations
Introduction to Functions
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
9
Solving Quadratic Equations
Square Root Properties
Solving Quadratic Equations by Using a Square Root
The Quadratic Formula
Complex Solutions to Quadratic Equations
Strategies for Solving Quadratic Equations
Properties of Quadratic Functions
Graphing Quadratic Functions
Solving Quadratic Equations Chapter Review
10
Functions and Their Representations
Function Basics
Domain and Range
Simplifying Expressions with Function Notation
Technical Definition of a Function
Functions and their Representations Chapter Review
11
More on Quadratic Functions
Graphs and Vertex Form
Completing the Square
More on Complex Solutions to Quadratic Equations
Complex Number Operations
More on Quadratic Functions Chapter Review
12
Absolute Value Functions
Introduction to Absolute Value Functions
Compound Inequalities
Absolute Value Equations and Inequalities
Absolute Value Functions Chapter Review
13
Radical Functions and Equations
Introduction to Radical Functions
Radical Expressions and Rational Exponents
Radical Expression Operations
More on Rationalizing the Denominator
Solving Radical Equations
Radical Functions and Equations Chapter Review
14
Exponential and Logarithmic Functions
Exponential Functions
Logarithmic Functions
Using the Change-of-Base Formula
Exponential and Logarithmic Functions Chapter Review
Appendices
A
Unit Conversions
B
Arithmetic with Whole Numbers, Decimals, and Natural Exponents
Addition
Subtraction
Multiplication
Division
Exponentiation (Raising to Powers)
Vocabulary Summary
Exercises
C
Hall of Fame
D
Answers to Exercises
Index
Authored in PreTeXt
Chapter
5
Systems of Linear Equations
5.1
Solving Systems of Linear Equations by Graphing
5.2
Substitution
5.3
Elimination
5.4
Applications of Systems of Linear Equations
5.5
Systems of Linear Equations Chapter Review