Review for Final ExamReview for 1st Radical Test Complete CW 4.6-4.8 Today

May 7th,

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

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

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.

2,731 feet.1,555 feet.

Almost twice as tall!!!

5

The Building used in Mission Impossible 4,

"Ghost Protocol".....

6

7

8

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

Which is 21 times further than if you were standing on the beach.

2,731’ x 1.5 = 𝟒𝟎𝟗𝟕 = 64 miles

Simplify using only positive exponents

-30y2

x4

10h12

d9

m21

Final Exam Review:

*Radical Operations Review

*Some of the following practice problems are taken directly from our test next Tuesday.

Simplifying Radicals

Addition/Subtraction

Multiplying/Dividing

Ex: (3 6 2 3)(4 3) 12 6 9 2 8 3 6

Radical Equations

𝒙 + 𝟏𝟏 = 𝟎

( 𝒙)𝟐= (−𝟏𝟏)𝟐

𝐱 = 𝟏𝟐𝟏𝒙 = −𝟏𝟏

𝟏𝟐𝟏 + 𝟏𝟏 = 𝟎

𝟏𝟏 + 𝟏𝟏 ≠ 𝟎 𝑵𝒐 𝑹𝒆𝒂𝒍 𝑺𝒐𝒍𝒖𝒕𝒊𝒐𝒏s

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!

ExtraneousIt checks!

a solution that you find algebraically but DOES NOT

make a true statement when you substitute it back

into the equation.

Radical Equations

xx 121

You’ve got to check for extraneous solutions

Complete CW 4.6-4.8 TodayPls. show your work...