Select all values of that are solutions to the equation .

The expressions and define the same function, .

1. Which expression makes it easier to find ? Explain your reasoning.
2. Find .
3. Which expression makes it easier to find the values of that make the equation true? Explain or show your reasoning.
4. Find the values of  that make .

A band is traveling to a new city to perform a concert. The revenue from their ticket sales is a function of the ticket price, , and can be modeled with .

What are the ticket prices at which the band would make no money at all?

Two students built a small rocket from a kit and attached an altimeter (a device for recording altitude or height) to the rocket. They record in the table the height of the rocket over time since it is launched, using the data from the altimeter.

Function gives the height in meters as a function of time in seconds, .

1. What is the value of ?
2. What value of gives ?
3. Explain why .
4. Based on the data, which equation about the function is more likely to be true:  or ? Explain your reasoning.

The screen of a tablet has dimensions 8 inches by 5 inches. The border around the screen has thickness .

1. Write an expression for the total area of the tablet, including the frame.

   

2. Write an equation for which your expression is equal to 50.3125. Explain what a solution to this equation means in this situation.
3. Try to find the solution to the equation. If you get stuck, try guessing and checking. It may help to think about tablets that you have seen.