Today: Final Exam Review (4)

Review Radical Operations (3) Radical Equations: Definition &

Practice Class Work

May

8

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

final

question

Word ProblemA 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)

Class Notes Section of Notebook

Radical Equations

103 x 215)2( x 13 xx9

7162 x

Radicand: Number or expression under the radical symbol.

Radical Equations: NOT Radical Equations:

2 1 1x x

13 x103 x215)2( x

7162 x

x92 1 1x x

Radical Equations

𝟏 .√𝒙+𝟒=𝟏 (√𝒙+𝟒)𝟐=𝟏𝟐

𝒙+𝟒=𝟏𝒙=−𝟑

−𝟒−𝟒

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

−𝟒−𝟒√𝟕𝒓+𝟒=𝟓

𝟕𝒓=𝟐𝟏

(√𝒙+𝟐)𝟐=𝒙𝟐

𝒙+𝟐=𝒙𝟐𝟎=𝒙𝟐−𝒙 −𝟐𝟎=(𝒙−𝟐)(𝒙+𝟏)𝒙=𝟐 𝒙=−𝟏

True

1

√𝟑≠𝟐False

So x=2 ONLY!

Remember: an extraneous solution gives a false statement when checked

7 5x x

Class Work: Due Friday