1. Review for Final Exam
Review for 1st Radical Test
 Complete CW 4.6-4.8 Today
May 7th,

2. b. What man-made structure has the record for most consecutive
years as the world's tallest? The great pyramid of Giza , Egypt
1a. Throughout history, how many buildings (man-made
structures) have had the record for the world's tallest?
27
At any given time, only one building can hold the record as
the world's tallest. With that in mind......

3. 3
The great pyramid of Giza , Egypt
How tall is it (in feet)? 481 feet
2. For how many years did it hold the record?
From 2560 B.C., to 1349 A.D (St. Olaf's Cathedral in Europe).
3,871 years

4. 4
From 1349 to 1890 (541 years), nine different buildings
held the record as world's tallest. All nine of them served
the same purpose. What type of buildings were they?
They are all churches (cathedrals).
All are in Europe and all are still standing.

5. 2,731 feet.
1,555 feet.
Almost twice as tall!!!
5

6. The Building used in
Mission Impossible 4,
"Ghost Protocol".....
6

7. 7

8. 8

9. How are 2 sunsets possible in the same day?
Because of the curvature of the Earth,
you can only see to the horizon. The
higher you are, the farther you can
see.
Is there a formula for that?
6. How far can you see if you are 24 ft. above sea level?
~ Round to nearest mile ~
(In miles)
7. How many miles can you see if you're at the top of
the Burj? (2,731 ft.)~ Round to nearest mile ~
9

10. 10
Which is 21 times further than if
you were standing on the beach.
2,731’ x 1.5 = 𝟒𝟎𝟗𝟕 = 64 miles

11. Simplify using only positive exponents
-30y2
x4
10h12
d9
m21
Final Exam Review:

12. *Radical Operations Review
*Some of the following practice problems are
taken directly from our test next Tuesday.
Simplifying Radicals

13. Addition/Subtraction

14. Multiplying/Dividing
Ex: (3 6  2 3)(4  3) 12 6  9 2  8 3  6

15. Radical Equations
𝒙 + 𝟏𝟏 = 𝟎
( 𝒙) 𝟐
= (−𝟏𝟏) 𝟐
𝐱 = 𝟏𝟐𝟏𝒙 = −𝟏𝟏
𝟏𝟐𝟏 + 𝟏𝟏 = 𝟎
𝟏𝟏 + 𝟏𝟏 ≠ 𝟎 𝑵𝒐 𝑹𝒆𝒂𝒍 𝑺𝒐𝒍𝒖𝒕𝒊𝒐𝒏s

16. One more to see another extraneous solution:
313  xx The radical is already isolated
2 2
You must square the whole side
NOT each term.
9613 2
 xxx
Square both sides
Since you have a quadratic equation (has an x2
term) get everything on one side = 0 and see if
you can factor this
1,8  xx
You MUST check
these answers
 
55
38183


313  xx
This must be FOILed
0892
 xx
   018  xx  
22
31113


Doesn't work!
Extraneous
It checks!
a solution that you find algebraically but DOES NOT
make a true statement when you substitute it back
into the equation.

17. Radical Equations
xx  121
You’ve got to check for extraneous solutions

18. Complete CW 4.6-4.8 Today
Pls. show your work...