Comparing Constant Rates – Practice Problems

Having fun while studying, practice your skills by solving these exercises!

This exercise will soon be on your smartphone!

For now, Practice Problems are only available on tablets and desktop computers. Please log in on one of these devices.

Do you need help? Watch the Video Lesson for this Practice Problem.

After this lesson, you will be able to compare constant rates in different forms.

The lesson begins by teaching you that a constant rate like speed can be shown as a table, equation, or graph. It leads you to learn how to compare speeds by graphing or using an equation. It concludes with the understanding that the constant rate is the slope which determines the steepness of the line.

Learn about comparing constant rates by helping Tim and Nora investigate on zombies’ speed in three films!

This video includes key concepts, notation, and vocabulary such as rate of change (the rate at which a quantity changes in relation to another); constant rate (fixed or unchanging rate of change); slope (the ratio of the vertical change to the horizontal change between two unique points in a line on a Coordinate Plane); and proportional relationships (two quantities related by equivalent ratios when presented in a table or graphically seen as a line which passes through the origin).

Before watching this video, you should already be familiar with the origin, y-intercept, and the slope-intercept form of a linear equation (y=mx+b).

After watching this video, you will be prepared to learn about systems of linear equations.

Common Core Standard(s) in focus: 8.EE.B.5 and 8.EE.B.6
A video intended for math students in the 8th grade
Recommended for students who are 13-14 years old

Go to Video Lesson
Exercises in this Practice Problem
Convert between different representations of constant rates.
Compare and contrast the following linear equations.
Graph the constant rate equation, $y=2x$.
Determine the constant rate equation for each graph.
Order the equations from the steepest graph to the least steep graph.
Compare the constant rates represented by graphs, tables, and equations.