Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18 ... · Unit 6 Day 2-3 Applying...
Transcript of Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18 ... · Unit 6 Day 2-3 Applying...
Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18.notebook
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February 14, 2018
Dec 30-4:46 PM
1) For all x, 2(-3x)2 is equivalent to: A. -36x2
B. -18x2
C. -6x2
D. 18x2
E. 36x2
Warm Up
2) For y=0, y8 is equivalent to:y2
A. 1B. 4C. y3
D. y4
E. y6
Mar 6-2:42 PM
Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18.notebook
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February 14, 2018
Dec 30-12:16 PM
Homework Questions
Dec 30-12:16 PM
Rewriting Radicals Grid
Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18.notebook
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February 14, 2018
Dec 9-10:11 AM
Review
1) Rewrite using rational exponent notation.
343)5
2) Rewrite using radical notation.
42
a) ( 256)3 b) 343-2/3 c) 27
*even more practice if needed*
Dec 30-11:17 AM
Chapter 6 Section 2
Apply Properties of Rational Exponents
integer exponents.
rational exponents.
Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18.notebook
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February 14, 2018
Dec 30-11:40 AM
Do you remember how to add & subtractfractions?
2- 158
1) 2) -3
+ 3
3) 4- 15
Dec 30-11:40 AM
Do you remember how to multiply fractions?
2 158
1)
42) -
33
3) 4 17
Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18.notebook
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February 14, 2018
Dec 30-12:04 PM
6.2 Properties of Rational Exponents
Dec 30-12:14 PM
Using the properties of exponents.
1) 71/4 71/2
2) (4 41/3)
3) 51/3
Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18.notebook
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February 14, 2018
Dec 30-12:14 PM
Using the properties of exponents.
1) x3/4 x1/2
3) 21/2
51/2
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Dec 30-9:23 PM
What is "simplest form"?
n is in simplest form ifthe radicand has no perfect nth power asfactors and any denominator has been
rationalized.
Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18.notebook
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February 14, 2018
Dec 30-4:00 PM
Simplifying a radical
1. √75 2. √32
3. √3 √6
Dec 30-12:22 PM
Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18.notebook
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February 14, 2018
Dec 30-12:17 PM
Homer
Simpson
Spongebob
Squarepants
Winnie the
PoohBig Bird
Ronald
McDonald
Tweety Bird Simba Pikachu Belle Bert
Wario Pac-Man Wolverine The Minions Woodstock
Dec 30-4:06 PM
Properties of Radicals
Product property of radicals
n a b = n na b na n
n= , b=0
Quotient property of radicals
Ex: 12 18 Ex: 80
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Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18.notebook
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February 14, 2018
Dec 30-4:06 PM
Properties of Radicals
Product property of radicals
n a b = n na b na n
n= , b=0
Quotient property of radicals
Examples:
1) √125 2) 3√135
3) 4√96 4)√3 39
64
#14
Dec 30-5:25 PM
Square Roots Grid Game
Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18.notebook
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February 14, 2018
Dec 30-4:00 PM
Simplifying a radical
1. √8
2. √x2
3. 3√64y6
4. (27p3q )
Dec 30-4:00 PM
Simplifying radicals
1.√27x 2. 4√32x4
m4
n84
Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18.notebook
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February 14, 2018
Dec 30-4:55 PM
Write variable expression in simplest form.
a. 5 4a8b c5 xy8
Jan 7-2:29 PM
Quick Check
*Must answer an evaluationflashcard before you leave.
Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18.notebook
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February 14, 2018
Feb 14-8:43 AM
Dec 30-9:09 PM
Add and subtract expressions involving variables
1√w + 3√w55
b. 3xy -8xy
c. 12 2z5 - z 54z2
Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18.notebook
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February 14, 2018
Dec 30-4:41 PM
Add and subtract like radicals and roots
10 + 7 10
b. 2(8 )+10(8
c. 54 - 2
Dec 30-4:41 PM
Add and subtract like radicals and roots
a. √18 + 5√2 5 - 40
c. 15 &16
Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18.notebook
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February 14, 2018
Dec 30-9:09 PM
Add and subtract expressions involving variables
a. √9w5 - w√w3 b. y 32x6 162x2 4
Dec 30-5:02 PM
*HOMEWORK*
Page 424 # 3-27 odd, 43-55 odd, 84
*Mad Minute Quiz on 1/21
Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18.notebook
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February 14, 2018
Dec 30-12:16 PM
Dec 30-8:36 PM
Extra Credit
following is equivalent to -24x2y3z5 ?3xyz3
A. -8xyzB. -8xy2z2
C. 8xy2z2
D. -8x2y2z2
E. -21xy2z2
Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18.notebook
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February 14, 2018
Dec 9-10:11 AM
2) Which of the following expressions isequivalent to (-2x y )
A.-16x y
B. -8x y
C. -8x y
D. 16x y
E. 16x y
1) If a2=49 and b2=64, which of the following
G. -1
H. 1
J. 25
K.15
3) If (5/3)x = (3/5)5
then what is the valueof x?
A. -2
B. -5/2
C. -2/5
D. 2/5
E. 5/2