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Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18.notebook 1 February 14, 2018 Dec 30-4:46 PM 1) For all x, 2(-3x) 2 is equivalent to: A. -36x 2 B. -18x 2 C. -6x 2 D. 18x 2 E. 36x 2 Warm Up 2) For y=0, y 8 is equivalent to: y 2 A. 1 B. 4 C. y 3 D. y 4 E. y 6 Mar 6-2:42 PM

Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18 ... · Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18.notebook 3 February 14, 2018 Dec 9-10:11 AM Review 1)

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Page 1: Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18 ... · Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18.notebook 3 February 14, 2018 Dec 9-10:11 AM Review 1)

Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18.notebook

1

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

Page 2: Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18 ... · Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18.notebook 3 February 14, 2018 Dec 9-10:11 AM Review 1)

Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18.notebook

2

February 14, 2018

Dec 30-12:16 PM

Homework Questions

Dec 30-12:16 PM

Rewriting Radicals Grid

Page 3: Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18 ... · Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18.notebook 3 February 14, 2018 Dec 9-10:11 AM Review 1)

Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18.notebook

3

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.

Page 4: Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18 ... · Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18.notebook 3 February 14, 2018 Dec 9-10:11 AM Review 1)

Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18.notebook

4

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

Page 5: Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18 ... · Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18.notebook 3 February 14, 2018 Dec 9-10:11 AM Review 1)

Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18.notebook

5

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

Page 6: Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18 ... · Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18.notebook 3 February 14, 2018 Dec 9-10:11 AM Review 1)

Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18.notebook

6

February 14, 2018

Dec 30-12:14 PM

Using the properties of exponents.

1) x3/4 x1/2

3) 21/2

51/2

3

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.

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Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18.notebook

7

February 14, 2018

Dec 30-4:00 PM

Simplifying a radical

1. √75 2. √32

3. √3 √6

Dec 30-12:22 PM

Page 8: Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18 ... · Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18.notebook 3 February 14, 2018 Dec 9-10:11 AM Review 1)

Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18.notebook

8

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

5

Page 9: Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18 ... · Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18.notebook 3 February 14, 2018 Dec 9-10:11 AM Review 1)

Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18.notebook

9

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

Page 10: Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18 ... · Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18.notebook 3 February 14, 2018 Dec 9-10:11 AM Review 1)

Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18.notebook

10

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

Page 11: Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18 ... · Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18.notebook 3 February 14, 2018 Dec 9-10:11 AM Review 1)

Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18.notebook

11

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.

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Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18.notebook

12

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

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Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18.notebook

13

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

Page 14: Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18 ... · Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18.notebook 3 February 14, 2018 Dec 9-10:11 AM Review 1)

Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18.notebook

14

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

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Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18.notebook

15

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

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Unit 6 Day 2-3 Applying Properties of Rational Roots 17-18.notebook

16

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