What's the Value of a Fox? 3.4 Reasoning w/Linear Equations

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does 'f' represent in the equation 3f + 32 = f + 22?

Back

In this equation, 'f' represents the value of a fox.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable on one side of the equation and all other terms on the opposite side.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x).

Front

What does it mean for one team to be winning by a certain number of points?

Back

It means that the team has scored more points than the other team by that specific amount.

Front

Write an equation to represent the height of Climber A over time if they descend at 3 feet per second starting from 48 feet.

Back

The equation is h = 48 - 3s, where h is the height and s is the time in seconds.

Front

What is the value of a mushroom in the context of this problem?

Back

The value of a mushroom is the amount of points earned per mushroom.

Front

How do you determine when two objects are at the same height?

Back

Set their height equations equal to each other and solve for the variable representing time.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is zero.

Front

If Climber A is descending and Climber B is ascending, how do you write an equation for their heights?

Back

You can write the equation as 48 - 3s = 2.5s, where s is the time in seconds.