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Today:
 Review: Quadratic Formula
Test
 Simplifying Radicals
w/Variables
 New Khan Topics: (3)
 Class Work
Khan Academy Topic Name Change
From To
Simplifying
Radicals 1
Simplifying Square
Roots
Simplifying
Radicals 2
Simplifying Square
Roots 2
Adding &
Subtracting
Radicals
No Change in
Name
What are the roots of xx 48
2
1 2

35% correct
Five Most Missed Questions from Quadratic Formula Test
# 5
34% correct
7x2 - x – 13 = -10 7x2 - x – 3 = 0 Use the quadratic formula
Five Most Missed Questions from Quadratic Formula Test
# 4
33% correct
Solve 3x2 – 13 = 47. Round your solution to the nearest hundredth.
A. + 3.37 B. + 37.89 C. + 13.21 D. + 4.47 E. None
3x2 = 60 x2 = 20 x = + 𝟐𝟎 x = + 𝟐 𝟓 𝟓 = 2.236
D
# 3
Solve (3x – 17)2 = 2831% correct 3x – 17 = 𝟐𝟖
3x = 17 + 𝟐𝟖 (factor out any perfect squares) 3x = 17 + 2 𝟕
(divide by three)
30% correctFinal Problem:
2p2 + 3p – 9 = 0
Class Notes Section of Notebook
If a fraction has a denominator that is a square root,
you can simplify it by rationalizing the denominator.
To do this, multiply both the numerator and
denominator by a number that produces a perfect
square under the radical sign in the denominator.
Multiply by a form of 1.
Simplifying Radicals
Simplifying Radicals w/Variables
x6y7z3 =Easy
x3y3z yzx•x • x•x • x •x • y•y • y •y • y •y • y • z •z • z =
Describe the process in one word:
Practice:
Quotient
Property.
Simplify. All variables represent nonnegative numbers.
Simplifying Radicals w/Variables
a.
Simplify each expression.
b.
≠ 17
c.
2
Simplifying Radicals w/Variables
32x5y3z2 =Practice:Review:
25
x
17
27x12
x x 8
3 3x x 6 7
3 16x x
Bronze Level Silver Level Gold Level
3 2 2 2 2                 x x x x x x x x x x x x x
3 2 2 2 2                 x x x x x x x x x x x x x
2 2 3       x x x x x x x 6
4 3x x
4x2yz xy
Class Work 4.6:
1. *
3.
4. 6.
7.
10 Questions, Due by end of class. Show all work!!
**
**
May 4, 2015

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May 4, 2015

  • 1. Today:  Review: Quadratic Formula Test  Simplifying Radicals w/Variables  New Khan Topics: (3)  Class Work
  • 2. Khan Academy Topic Name Change From To Simplifying Radicals 1 Simplifying Square Roots Simplifying Radicals 2 Simplifying Square Roots 2 Adding & Subtracting Radicals No Change in Name
  • 3. What are the roots of xx 48 2 1 2  35% correct Five Most Missed Questions from Quadratic Formula Test # 5
  • 4. 34% correct 7x2 - x – 13 = -10 7x2 - x – 3 = 0 Use the quadratic formula Five Most Missed Questions from Quadratic Formula Test # 4
  • 5. 33% correct Solve 3x2 – 13 = 47. Round your solution to the nearest hundredth. A. + 3.37 B. + 37.89 C. + 13.21 D. + 4.47 E. None 3x2 = 60 x2 = 20 x = + 𝟐𝟎 x = + 𝟐 𝟓 𝟓 = 2.236 D # 3 Solve (3x – 17)2 = 2831% correct 3x – 17 = 𝟐𝟖 3x = 17 + 𝟐𝟖 (factor out any perfect squares) 3x = 17 + 2 𝟕 (divide by three)
  • 7. Class Notes Section of Notebook
  • 8. If a fraction has a denominator that is a square root, you can simplify it by rationalizing the denominator. To do this, multiply both the numerator and denominator by a number that produces a perfect square under the radical sign in the denominator. Multiply by a form of 1. Simplifying Radicals
  • 9. Simplifying Radicals w/Variables x6y7z3 =Easy x3y3z yzx•x • x•x • x •x • y•y • y •y • y •y • y • z •z • z = Describe the process in one word: Practice:
  • 10. Quotient Property. Simplify. All variables represent nonnegative numbers. Simplifying Radicals w/Variables a. Simplify each expression. b. ≠ 17 c. 2
  • 11. Simplifying Radicals w/Variables 32x5y3z2 =Practice:Review: 25 x 17 27x12 x x 8 3 3x x 6 7 3 16x x Bronze Level Silver Level Gold Level 3 2 2 2 2                 x x x x x x x x x x x x x 3 2 2 2 2                 x x x x x x x x x x x x x 2 2 3       x x x x x x x 6 4 3x x 4x2yz xy
  • 12. Class Work 4.6: 1. * 3. 4. 6. 7. 10 Questions, Due by end of class. Show all work!! ** **