15. 10. 2(x - y) (x - y)
(x - y) (x - y)
1. x = y
2. 2x = 2y
3. 2x + y = x + 2y
4. 2x + y - 2y = x + 2y - 2y
5. 2x + y - 2y = x
6. 2x + y - 2y - y = x - y
7. 2x - 2y = x - y
8. 2(x - y) = x - y
9. 2(x - y) (x - y)
(x - y) (x - y)
11. 2 = 1
We all learned about
balancing equations in
Algebra (and Chemistry).
Here is an algebraic equation
that proves 2=1.
67. Challenge Questions
1. What is the fastest speed Al travels in feet per second?
2. What is his fastest speed in miles per hour?
3. What is his average speed in feet per second?
4. What is his average velocity in feet per second?
5. Draw a graph of his acceleration during the time he traveled.
6. Al’s friend, Ann Durance is avid cyclist who is training for Italy’s Novi Colle by
riding big hills. If it is 10 miles from the base to the summit of Mt. Diablo and
her average speed is 10 miles an hour going up Diablo, how fast would she
need to go coming down to average 20 miles per hour?
7. The philosopher Zeno would claim that Al Jebra would never get to class at all.
Why you ask? Zeno would say that to get to class, he would first have to get
halfway there. Once halfway there, he would have to first go half of that
halfway. Once he reached that point, he would still have to traverse half the
remaining distance. Once at that new point, he would still have to traverse
half the remaining distance and so on. Basically, he never gets there because
he always has to go half of the distance first. OK, so now draw a picture
and/or create a presentation that illustrates Zeno’s Paradox. Next, write an
explanation of why Zeno’s paradox is wrong. 66