Consider the equation:  

Without computing:

1. Is the solution to this equation positive or negative?

2. Are either of these two numbers solutions to the equation?

1. Find the unknown value in each equation.

   1. 
       

   2. 
       

   3. 
       

   4. 
       

   5. 
       

2. Rewrite each unknown factor problem (the last four equations of the previous problem) as a division problem.

3. Complete the sentences. Be prepared to explain your reasoning.

   1. A positive number divided by a positive number equals a _______________________.

   2. A positive number divided by a negative number equals a _______________________.

   3. A negative number divided by a positive number equals a _______________________.

   4. A negative number divided by a negative number equals a _______________________.

4. Han and Clare walk towards each other at a constant rate, meet up, and then continue past each other in opposite directions. We will call the position where they meet up 0 feet and the time when they meet up 0 seconds.

   • Han’s velocity is 4 feet per second.

   • Clare’s velocity is -5 feet per second.

   1. Where is each person 10 seconds before they meet up? 

   2. When is each person at the position -10 feet from the meeting place?