Algebra II Mr. Gilbert

1
Algebra IIMr. Gilbert

• Chapter 5.8 Radical Equations Inequalities
• Standard Honors

2
Agenda

• Warm-up (next slide)
• Check your answers
• Review Homework
• Return Class work
• Bonus points
• Lesson
• Homework

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Class Work Warm-up 5.8 (3 min.)Yes its a
repeat

• Work on your own, silently. Write your name on
  the top of the sheet, turn in when done.
• Factor Completely
• (x2-81)
• (2x2 18x 16)
• x4-1
• Find the product
• (x1)(2x2-3x1)
• (2n2 -3)(n25n -1)

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Class Work Warm-up 5.6 (3 min.)

• Work on your own, silently.
• Factor Completely, assume no denominator is equal
  to 0.
• (x2-81) (x9)(x-9)
• (2x2 18x 16) (2)(x1)(x8)
• x4-1 (x21)(x1)(x-1)
• Find the product
• (x1)(2x2-3x1) 2x3 x2-2x1
• (2n2 -3)(n25n -1) 2n410n3-5n2-15n3

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Lesson 8 Contents
5-8 Radical Equations Inequalities
Example 1 Solve a Radical Equation (2) Example
2 Extraneous Solution (3) Example 3 Cube Root
Equation (3) Example 4 Radical Inequality (4)
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Example 8-1a
Example 1 Solve a Radical Equation (2)
Check
Answer The solution checks. The solution is 38.
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Example 8-1c
Answer 67
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Example 8-2a
Example 2 Extraneous Solution
Now lets check
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Example 8-2b
Example 2 Extraneous Solution cont.
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Example 8-2c
Extraneous Solution
Answer no real solution
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Example 8-3a
Cube Root Example
In order to remove the radical, it this case cube
root, you a) must first isolate it and then b)
raise it so that it becomes 1 while keeping the
equation balanced.
Now lets check
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Example 8-3b
Cube Root Example cont.
Check
Answer The solution is 42.
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Example 8-3c
Cube Root Example
Answer 13
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Example 8-4a
Radical Inequality
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Example 8-4b
Radical Inequality cont.
Now lets check
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Example 8-4c
Radical Inequality cont.
Check
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Example 8-4d
Radical Inequality
Answer -5/2
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Earn up to 35 Bonus Points

• You may earn bonus test points by
• Completing 100 correctly the online Self Check
  Quizzes for all lessons in the last test
• 5.1-5.4, 9.1-9.2, 11.7
• 5 will be added to last test score for each
  100 complete lesson.
• Bonus available until end of day 9/25, mail
  posted by end of day 9/19 will make the progress
  report.
• Use lesson resources in http//www.glencoe.com/sec
  /math/algebra/algebra2/algebra2_05/

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Homework Review
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Homework
See Syllabus 5.8 p. 266 13 27 odd and 39.
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Homework - Honors
See Syllabus 5.8 p. 266 13 - 39 odd, 41-43