Linear equations and functions
Linear equations like y = 2x + 7 are called "linear" because they make a straight line when we graph them. These tutorials introduce you to linear relationships, their graphs, and functions.
This course contains 13 segments:
Graphing proportional relationships
When you walk at a constant rate, the relationship between the distance you've walked and the time you've spent walking is proportional. In this tutorial, we learn about proportional relationships (constant rates) and their graphs.
Solutions to linear equations
Learn how to figure out if an ordered pair is a solution to a linear equation.
Intercepts
Learn about intercepts of a line. Identify intercepts using a table, graph, and equation.
Slope
Learn about slope of a line and the slope formula. Identify slope from a graph, two points, and an equation.
Intro to slope-intercept form
Make an introduction with the most common form of linear equations, slope-intercept form! For example, y=3x+5 is a linear equation in slope-intercept form.
Graphing slope-intercept form
Learn about the slope-intercept form of two-variable linear equations, and how to interpret it to find the slope and y-intercept of their line. Find the slope-intercept equation of a line from its graph, a table, or two points.
Writing slope-intercept equations
Learn how to write the equation of a line (in slope-intercept form) when given the graph of the equation or two points on the line. For example, write the equation of the line that passes through the points (0,1) and (5,4).
Functions
Learn how to evaluate functions from a formula or graph. Compare linear functions.
Linear models
Learn to use linear models to show relationships between two variables and represent them using a table, equation, or a graph.
Comparing linear functions
Compare features of linear functions, such as slope and intercepts, where the functions are given in different forms—tables, graphs, or formulas.
Constructing linear models for real-world relationships
Learn how to represent real-world relationships (that are described verbally) with linear graphs, equations, or functions.
Recognizing functions
Relationships can be any association between sets of numbers while functions have only one output for a given input. This tutorial works through a bunch of examples of testing whether something is a valid function. As always, we really encourage you to pause the videos and try the problems before Sal does! Common Core Standard: 8.F.A.1
Linear and nonlinear functions
Not every relationship in the universe can be represented by a line (in fact, most can't be). We call these "nonlinear". In this tutorial, you'll learn to tell the difference between a linear and nonlinear function! Have fun!
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Length | 13 segments |
Starts | On Demand (Start anytime) |
Cost | Free |
From | Khan Academy |
Download Videos | On all desktop and mobile devices |
Language | English |
Subjects | Mathematics |
Tags | Math Math: 8th grade (U.S.) |
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Rating | Not enough ratings |
---|---|
Length | 13 segments |
Starts | On Demand (Start anytime) |
Cost | Free |
From | Khan Academy |
Download Videos | On all desktop and mobile devices |
Language | English |
Subjects | Mathematics |
Tags | Math Math: 8th grade (U.S.) |
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