Master the fundamentals of linear functions, their properties, and systems of equations. Learn to model real-world relationships and solve complex problems using linear algebra.
By the end of this unit, you will be able to:
Understand the definition of a function and use proper function notation
Identify and analyze linear functions in various forms
Calculate and interpret slope as rate of change
Graph linear functions and identify key features
Solve systems of linear equations using multiple methods
Apply linear functions to model real-world situations
See how linear functions are used in everyday life and professional settings.
Compare different phone plans using linear functions to find the most cost-effective option based on usage.
Model motion problems using linear functions to calculate speed, distance, and time relationships.
Use systems of equations to optimize production, pricing, and resource allocation in business scenarios.
Five comprehensive lessons that build your understanding of linear functions step by step.
Learn the fundamental concept of functions, function notation, and how to determine if a relationship is a function.
Explore the general form of linear functions, slope, y-intercept, and their geometric meanings.
Deep dive into slope as rate of change, calculating slope from points, and interpreting slope in real contexts.
Solve systems of linear equations using substitution and elimination methods with real-world applications.
Apply linear functions to solve complex real-world problems including optimization and modeling scenarios.