Consider the equation: [math]-27x=-35[/math][br][br]Without computing: Is the [b]solution[/b] to this equation positive or negative?

Are either of these two numbers solutions to the equation?

[math]-3\cdot4=?[/math]

[math]-3\cdot?=12[/math]

[math]3\cdot?=12[/math]

[math]?\cdot-4=12[/math]

[math]?\cdot4=-12[/math]

The sign of a positive number divided by a positive number is always:

The sign of a positive number divided by a negative number is always:

The sign of a negative number divided by a positive number is always:

The sign of a negative number divided by a negative number is always:

[size=150]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.[/size][list][*] Han's velocity is 4 feet per second.[br][/*][*] Clare's velocity is -5 feet per second.[/*][/list][br]Where is each person 10 seconds before they meet up?

When is each person at the position -10 feet from the meeting place?[br]

It is possible to make a new number system using [i]only[/i] the numbers 0, 1, 2, and 3. We will write the symbols for multiplying in this system like this: [math]1\otimes2=2[/math][br][br]In this system, [math]1\otimes3=3[/math] and [math]2\otimes3=2[/math].  How can you see that in the table below?

What do you think [math]2\otimes1[/math] is?

What about [math]3\otimes3[/math]?

What do you think the solution to [math]3\otimes n=2[/math] is?

What about [math]2\otimes n=3[/math]?

Assuming the rig drilled at a constant rate, what was the height of the drill after 15 hours?

If the rig has been running constantly and is currently at a height of -147.5 feet, for how long has the rig been running?

At this rate, how many hours will it take until the drill reaches -250 feet?