In this video, the teacher explains how multiplying an equation by a constant affects the equation and its graph. They define constants and variables, and show how multiplying every term in an equation by a constant produces an...

In this video, students learn how to reflect a point on a coordinate plane by changing its values in an ordered pair. They are introduced to the concept of quadrants and the unique positioning system (UPS) associated with each quadrant.

In this lesson, students will learn how to estimate the solution of a system of equations by graphing. They will review the concept of intercepts and how to find them. By graphing the equations and identifying the point of intersection,...

In this video, you will learn how to determine if a graph represents a function. The teacher explains the importance of correctly plotting the input and output values on a coordinate grid and emphasizes that every input must have exactly...

In this video, the teacher explains how to graph points on a coordinate plane in different quadrants. They review the x and y axes, the origin, and the concept of ordered pairs. The teacher demonstrates how to plot points in each...

In this video lesson, students learn how to find the length of sides using ordered pairs and use that information to calculate the perimeter and area of a shape. The teacher explains the relationship between the X and Y axes, and guides...

In this video, the teacher explains how to determine the location of an unknown ordered pair by using characteristics of polygons. They review the X and Y axes and the importance of understanding the rotation along each axis. The teacher...

In this lesson, students will learn how to identify an ordered pair belonging to the same exponential function as two given ordered pairs. By understanding that exponential functions grow by equal factors on equal intervals, students can...

In this video, students learn how to use a line graph to understand relationships between numbers. They are taught to create ordered pairs on a coordinate plane based on corresponding terms, and then connect those points to form a line...

In this video, students learn how to write coordinate pairs for points on a coordinate plane. The teacher explains the process of moving along the X and Y axes to determine the X and Y values of each point. The video also highlights...

In this video, students learn about quadrants and how they relate to coordinate planes. The video explains how to determine the quadrant of a point by examining the values of an ordered pair. It also introduces the concept of UPS (Unique...

Cartesian products can create sets of ordered pairs which correspond to points in 2-dimensional space, or ordered triples which correspond to points in 3-dimensional space. These sets form the logical foundation of the Cartesian...

In this video, the teacher explains how to determine if a point is a solution to multiple equations and how to approximate the X coordinate of the intersection of two lines by observing their graphs. The teacher emphasizes the importance...

In this video, the teacher explains the graphical meaning of real and complex roots in quadratic functions. They review function notation and the steps to graph a quadratic function. They also explain how to use the discriminant to...

Solutions to Problem 15.

In This Episode, Tyler Teaches Us About Plotting Points on a Coordinate Plane

In this lesson, we explored the mathematical relationships between coordinate pairs on a grid system. We learned how to describe the connection between points on a coordinate plane, including the shape of the path that connects them. By...

In this video, students learn how to describe the exact location of a point on a plane using the coordinate grid system. They review the horizontal and vertical number lines, known as the X and Y axes, and how they intersect at the point...

Fundamental to Algebra is the concept of a binary relation. This concept is closely related to the concept of a function.

👉 Learn about every thing you need to know to understand the domain and range of functions. We will look at functions represented as equations, tables, mapping, and ordered pairs. The domain is the set of all possible x or input values...

In this video lesson, we cover proportional relationships and slope, including how to graph equations and interpret slope in the context of a problem. We also discuss comparing relationships and using different representations to...

In this video, the teacher explains how to solve equations in two variables by making a table and graphing the solutions. They use examples of linear equations and quadratic equations to demonstrate the process.

Two sets which are of primary interest when studying binary relations are the domain and range of the relation.

In this video, the teacher explains how to graph a polynomial by finding the X-intercepts. They demonstrate the process step-by-step and emphasize the importance of testing intervals to determine the sign of the graph.