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Today:
 Final Exam Review (4)
 Review Radical Operations (3)
 Radical Equations: Definition & Practice
 Class Work
May...
Final Exam Review:
Jennifer’s hand measures 8 inches long. She is 5 ft. 8
inches tall. Express the ratio of the length of ...
Word Problem
A stadium has a square poster of a football player
hung from the outside wall. The poster has an area
of 12,5...
Class Notes Section of Notebook
Radical Equations
103  x 215)2( x 13  x
x9
7162 x
Radicand: Number or expression under the radical symbol.
Radic...
Radical Equations
𝟏. 𝒙 + 𝟒 = 𝟏 ( 𝒙 + 𝟒) 𝟐= 𝟏 𝟐
𝒙 + 𝟒 = 𝟏
𝒙 = −𝟑
−𝟒 − 𝟒
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 = ...
∗ 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 + ...
 Remember: an extraneous solution gives a
false statement when checked
Class Work: Due Friday
May 8, 2014
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May 8, 2014

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Transcript of "May 8, 2014"

  1. 1. Today:  Final Exam Review (4)  Review Radical Operations (3)  Radical Equations: Definition & Practice  Class Work May 8
  2. 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. 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. 4. Class Notes Section of Notebook
  5. 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. 6. Radical Equations 𝟏. 𝒙 + 𝟒 = 𝟏 ( 𝒙 + 𝟒) 𝟐= 𝟏 𝟐 𝒙 + 𝟒 = 𝟏 𝒙 = −𝟑 −𝟒 − 𝟒
  7. 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
  8. 8. ∗ 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!
  9. 9.  Remember: an extraneous solution gives a false statement when checked
  10. 10. Class Work: Due Friday
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