In this video, students learn how to predict possible collisions by writing and solving a system of nonlinear equations using graphs of quadratic equations. The lesson covers the basics of quadratic equations, including circles,...

In this video we solve two systems of nonlinear equations. The first has an absolute value function and a circle (and we solve by graphing). The second has a linear function and a quadratic.

In this video math lesson we will learn how to classify graphs and equations as linear or nonlinear functions. We will define a linear function as a relationship between two quantities with a constant rate of change. The graph of a...

In this video, the teacher explains how to determine whether an equation is linear or nonlinear by identifying the exponent of the variable. The teacher provides five equations and asks the viewer to determine which ones are linear and...

In this lesson, students are introduced to the concept of linear functions, which create straight lines, and nonlinear functions, which do not. The lesson covers different ways to write linear equations, such as the slope-intercept form...

In this video we are going to discover how to solve simultaneous equations by substitution. Simultaneous equations are two or more equations with two or more unknowns that must be solved at the same time; hence the name...

Reasoning with Equations and Inequalities
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HS.A-REI.D.11 Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y =...

In this video, we use our background of solving linear systems to solve a nonlinear system.

In this video, the teacher focuses on teaching students how to identify linear and nonlinear functions from tables, equations, and graphs. The teacher explains the characteristics of linear and nonlinear functions and provides examples...

In this math video we will learn how to solve a nonlinear system of equations. We are given two equations - one is a quadratic equation and one is a linear equation - and four possible solutions. We are told that the system has one...

This video is a presentation on proportional relationships and graphs. The speaker discusses direct and inverse proportion and provides examples along with constant rates of change. They also explain how nonlinear functions can create a...

In this video, the concept of exponential functions is explained, specifically in relation to population growth and decay. The MacArthur-Wilson theory of biogeography is also discussed, which explores the equilibrium point between...

In this video lesson, we will learn how to determine if a graph, table of values, or an equation represents a linear or nonlinear function. We will look at a graph for a nonvertical line to determine it is linear. We will look for a...

This video lesson will provide instruction to be able to identify whether a function is linear or nonlinear from a graph, a table, or an equation. Discrete and continuous domains will be presented and discussed. Practice problems with...

Here we show another way to graphically interpret first order ordinary differential equations (ODE's) in the form dx/dt = f(x). Rather than solve the differential equation by integrating, which is often impractical, it's useful to graph...

Here we show another way to graphically interpret first order ordinary differential equations (ODE's) in the form dx/dt = f(x). Rather than solve the differential equation by integrating, which is often impractical, it's useful to graph...

Learn to define linear functions by analyzing graphs of the forms y = x and y = mx. Understand that linear functions have a constant rate of change and that the coefficient of x, also known as the slope, determines the steepness of the...

In this math video we will learn facts about linear functions. We will discuss the characteristics of a linear function in slope-intercept form. We will review that slope-intercept form is y=mx+b. We will discover that m represents the...

This video discusses how to determine the best statistical regression model to approximate data within a scatter plot and make predictions through interpolation and extrapolation. It covers the process of inputting data into a graphing...