Linear Alg
Free lessons and practice worksheets for linear alg — worked examples, common mistakes, and step-by-step solutions.
- 01Linear Alg3 min read
Functions
A function is a mathematical relationship that assigns exactly one output value to each input value. Functions are typically written in the form f(x) = expression, where x represents the input and the expression shows how to calculate the output. For example, f(x) = 2x + 3 means multiply the input by 2 and add 3.
- 02Linear Alg3 min read
Introduction to Linear Relationships
A linear relationship describes a pattern where one quantity changes at a constant rate relative to another quantity. The mathematical form y = mx + b represents this relationship, where m indicates the rate of change (slope) and b shows the starting value (y-intercept). Linear relationships appear as straight lines when graphed on a coordinate plane.
- 03Linear Alg3 min read
Linear Modelling
Linear modelling represents real-world situations where one variable changes at a constant rate with respect to another variable. The relationship takes the form y = mx + b, where m represents the rate of change and b represents the starting value. This mathematical approach appears throughout CCSS 8.F standards and forms the foundation for analyzing proportional relationships in algebra.