Intermediate Algebra - Resources

• Topics in College Algebra: good written overall resources. You will be able to find help and written work by topic.
• Videos - here, too, you'll have to find the topic you're interested in.

Chapter 0 - Introduction/Review

• The following pages belong to Math 1010 Online
  
• Some general pointers:
• Principles
• Glossary
• How to Figure things out
• Review
• Arithmetic Precedence
• What is Algebra?
• The Number System
• The Distributive Law
• Irrational Numbers
• Fractions
• The Real Number Line
• Intervals
• Never Divide by Zero

Chapter 1 - Sequences - PDF

• Patterns in context - really nice lessons that track well what we've been learning
• Introduction with notation and few examples with solutions provided. Read first three sections.
• There is always Khan Academy. He uses different notation, so if you're ok with that check it out:
• Introduction/explicit and recursive
• Introduction to Arithmetic Sequences
• Constructing Arithmetic Sequences
• Introduction to Geometric Sequences
• Constructing Geometric Sequences
• Modeling with sequences

Chapter 2 - Functions - PDF

• Really good, slow, careful development
  • Graphs in context
• Video
  • What is a function?
  • Is it a function?
  • Composition of functions
  • Intro to inverses
  • Finding inverses
  • Are the two given functions inverses?
  • Is the function invertible?
• Text
  • Relation, function, domain and range - definitions, examples, practice
  • Graphs of functions
  • Operations with function, sum, difference, product, composition
  • Inverse functions

Chapter 3 - Linear Functions - PDF

• Really good, slow, careful development
  • Linear Functions - a sequence of nice lessons to guide you through important connections
• Video
  • Proportional relationships - younger cousin of linear relationships
  • Equations and graphs of lines
  • x and y intercepts
  • Slope
  • Slope-interecpt form
  • Modeling with linear functions
• Text
  • Graphing lines
  • Slope
  • Equations of lines
  • Systems of equations

Chapter 4 - Quadratic Functions - PDF

• Can you recognize quadratic function from a table?
  • Quadratic patterns - a sequence of nice lessons to guide you through important connections
• Video
  • Solving quadratic equations using square roots
  • Solving quadratic equations using factoring
  • Solving quadratic equations using completing the square
  • Properties of graphs
  • Graphing quadratic functions
  • Shifting and scaling parabolas aka transformations of graphs
  • Modeling with quadratic functions

Chapter 5 - Exponential Functions - PDF

• Videos
  • Simplifying exponential expressions
  • Exponential function: 
  • Introduction
  • Interpreting rate of change
  • Constructing exponential models
  • Graphs of exponential functions
  • Logarithms
  • Graphs of logarithmic functions
  • Solve exponential equations using properties of exponents
  • Solve exponential equations using logarithms
  • Modeling using exponential functions
• Text
  • Exponential functions
  • Logarithmic functions
• Practice
  • Exponential - some practice and solutions
  • whole number exponents
  • negative exponents
  • rational exponents
  • Logarithms - some practice and solutions

Intermediate Algebra - Home