1. Today:
 Final Exam Review (4)
 Review Radical Operations (3)
 Radical Equations: Definition & Practice
 Class Work
May
8

2. Final Exam Review:
Jennifer’s hand measures 8 inches long. She is 5 ft. 8
inches tall. Express the ratio of the length of Jennifer’s
hand to her height in its simplest form.
8% of your total earnings is taken out of each paycheck
for taxes. On your last pay check, $42.00 was deducted.
How much were your gross (before deductions) earnings
last pay period? $525.00
You take your mom out for a nice lunch to celebrate
Mother’s Day. The total comes to $28.00, so you ask your
mom if you can borrow $28.00. You plan on leaving a
15% tip. How much do you really need to borrow?
$32.20

3. Word Problem
A stadium has a square poster of a football player
hung from the outside wall. The poster has an area
of 12,544 ft2. What is the width of the poster?
112 feet wide
Radical Review: (3)

4. Class Notes Section of Notebook

5. Radical Equations
103  x 215)2( x 13  x
x9
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
x92 1 1x x  

6. Radical Equations
𝟏. 𝒙 + 𝟒 = 𝟏 ( 𝒙 + 𝟒) 𝟐= 𝟏 𝟐
𝒙 + 𝟒 = 𝟏
𝒙 = −𝟑
−𝟒 − 𝟒

7. 𝟐. −𝟖 + 𝒚 + 𝟖 = 𝟎
( 𝒚 + 𝟖) 𝟐= 𝟖 𝟐
+𝟖 + 𝟖
𝒚 + 𝟖 = 𝟖
𝒚 + 𝟖 = 𝟔𝟒
−𝟖 − 𝟖
𝒚 = 𝟓𝟔
𝟑. −𝟒 𝟕𝒓 + 𝟒 = −𝟐𝟎
( 𝟕𝒓 + 𝟒) 𝟐
= 𝟓 𝟐
𝟕𝒓 + 𝟒 = 𝟐𝟓
𝒓 = 𝟑
−𝟒 − 𝟒
−𝟒 − 𝟒
𝟕𝒓 + 𝟒 = 𝟓
𝟕𝒓 = 𝟐𝟏

9. ∗ 𝒙 + 𝟐 = 𝒙 ( 𝒙 + 𝟐) 𝟐
= 𝒙 𝟐
𝒙 + 𝟐 = 𝒙 𝟐
𝟎 = 𝒙 𝟐
− 𝒙 − 𝟐
𝟎 = (𝒙 − 𝟐)(𝒙 + 𝟏) 𝒙 = 𝟐 𝒙 = −𝟏
√ 𝟐
𝟐 + 𝟐 = 𝟐
𝟒 = 𝟐
True
√ 1
𝟏 + 𝟐 = 𝟏
𝟑 ≠ 𝟐
False
So x=2 ONLY!

10.  Remember: an extraneous solution gives a
false statement when checked

11. Class Work: Due Friday