Today: Final Exam Review

Review: Radical Operations Begin: Radical Equations Khan Academy Reminder

Class Work

5/6/2015

Final Exam Review:

56.76 x 1010 = 5.676 x 1011

The first ball hit by a batter went 28 feet longer than the next hit. If the total distance for both hits is 152 feet, how far was the first hit?

𝟒.𝟒𝒓

𝟐∙𝟒

𝟑𝒓𝟑𝟖

𝟑𝒓𝟐

Radicals Review:

Or... Factor out a... 3Two ways to solve: 2 3

3 3

= And finally,

Rationalizing the denominator

is not necessary

Class Notes Section of Notebook

103 x 215)2( x 13 x

x9

7162 x

Radicand: Number or expression under the radical symbol.

Radical Equations: NOT Radical Equations:

2 1 1x x

13 x103 x

215)2( x

7162 x

x92 1 1x x

Radical Equations

Radical Equations are be solved using these steps:

Radical Equations

𝟐. −𝟖 + 𝒚 + 𝟖 = 𝟎

( 𝒚 + 𝟖)𝟐= 𝟖𝟐

+𝟖 + 𝟖

𝒚 + 𝟖 = 𝟖

𝒚 + 𝟖 = 𝟔𝟒

−𝟖 − 𝟖

𝒚 = 𝟓𝟔

𝟑. −𝟒 𝟕𝒓 + 𝟒 = −𝟐𝟎

( 𝟕𝒓 + 𝟒)𝟐= 𝟓𝟐

𝟕𝒓 + 𝟒 = 𝟐𝟓

𝒓 = 𝟑

−𝟒 − 𝟒

−𝟒 − 𝟒𝟕𝒓 + 𝟒 = 𝟓

𝟕𝒓 = 𝟐𝟏

∗ 𝒙 + 𝟐 = 𝒙 ( 𝒙 + 𝟐)𝟐= 𝒙𝟐

𝒙 + 𝟐 = 𝒙𝟐 𝟎 = 𝒙𝟐 − 𝒙 − 𝟐

𝟎 = (𝒙 − 𝟐)(𝒙 + 𝟏) 𝒙 = 𝟐 𝒙 = −𝟏

√ 𝟐

𝟐 + 𝟐 = 𝟐

𝟒 = 𝟐

True

√ -1

−𝟏 + 𝟐 = −𝟏

𝟏 ≠ −𝟏

FalseSo, x = 2 ONLY!

Remember: an extraneous solution gives a false statement when checked

Class Work: 4.8 Show all work for credit!!!

287

5

k

41534 2 m

𝟕. 𝟏𝟗 − 𝒓 = 𝟑

5.

𝟖. −𝟔 𝒃 + 𝟗 = −𝟑𝟔

6. 17

Nolan earned 5% interest per year on the money he kept in the bank. After one year he had earned $20 in interest. How much money did he have in the bank?

We don’t know the original amount, and the amount increased. Therefore... 20 ÷ .05 = $400