warm up. algebra 3 chapter 9: rational equations and functions lesson 4: multiplying and dividing...
TRANSCRIPT
![Page 1: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions](https://reader036.vdocuments.net/reader036/viewer/2022081520/5697bfcf1a28abf838ca9fa7/html5/thumbnails/1.jpg)
WARM UP
Find the Greatest Common Factor and Least Common Multiple
1. 16 and 242. 12 and 9Multiply3.
![Page 2: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions](https://reader036.vdocuments.net/reader036/viewer/2022081520/5697bfcf1a28abf838ca9fa7/html5/thumbnails/2.jpg)
Algebra 3Chapter 9: Rational Equations and FunctionsLesson 4: Multiplying and Dividing Rational Expressions
![Page 3: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions](https://reader036.vdocuments.net/reader036/viewer/2022081520/5697bfcf1a28abf838ca9fa7/html5/thumbnails/3.jpg)
VOCAB
Simplified Form – Numerator and Denominator have no common factors
![Page 4: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions](https://reader036.vdocuments.net/reader036/viewer/2022081520/5697bfcf1a28abf838ca9fa7/html5/thumbnails/4.jpg)
TODAY
Today we are going to learn how to simplify rational expressions
![Page 5: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions](https://reader036.vdocuments.net/reader036/viewer/2022081520/5697bfcf1a28abf838ca9fa7/html5/thumbnails/5.jpg)
DIRECTIONS (Simplifying)
FactorNUMERATORDENOMINATOR
Divide out common factors
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FACTORING
Factor cAdd factorsFind b
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I DO (Simplifying)
Simplify the rational expressions1. 2. 3. 4.
![Page 8: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions](https://reader036.vdocuments.net/reader036/viewer/2022081520/5697bfcf1a28abf838ca9fa7/html5/thumbnails/8.jpg)
WE DO (Simplifying)
Simplify the rational expressions1. 2. 3. 4.
![Page 9: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions](https://reader036.vdocuments.net/reader036/viewer/2022081520/5697bfcf1a28abf838ca9fa7/html5/thumbnails/9.jpg)
YOU DO (Simplifying)
Simplify the rational expressions1. 2. 3. 4.
![Page 10: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions](https://reader036.vdocuments.net/reader036/viewer/2022081520/5697bfcf1a28abf838ca9fa7/html5/thumbnails/10.jpg)
REVIEW
TODAY you learned…
![Page 11: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions](https://reader036.vdocuments.net/reader036/viewer/2022081520/5697bfcf1a28abf838ca9fa7/html5/thumbnails/11.jpg)
HOMEWORK
Worksheet9.4 (1 – 3)
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WARM UP
Find the Greatest Common Factor and Least Common Multiple
1. 14 and 42. 18 and 12Multiply3.
![Page 13: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions](https://reader036.vdocuments.net/reader036/viewer/2022081520/5697bfcf1a28abf838ca9fa7/html5/thumbnails/13.jpg)
Algebra 3Chapter 9: Rational Equations and FunctionsLesson 4: Multiplying and Dividing Rational Expressions
![Page 14: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions](https://reader036.vdocuments.net/reader036/viewer/2022081520/5697bfcf1a28abf838ca9fa7/html5/thumbnails/14.jpg)
PART 2
MULTIPLYING rational expressions
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TODAY
Today we are going to learn how to multiply rational expressions
![Page 16: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions](https://reader036.vdocuments.net/reader036/viewer/2022081520/5697bfcf1a28abf838ca9fa7/html5/thumbnails/16.jpg)
DIRECTIONS (MULTIPLYING)
Factor – like yesterdayMultiply straight across
If you have more than 1 thing you need to FOIL/DISTRIBUTE
Remember multiplying means add powersSimplify the numbersSimplify the variables
Remember Division means subtract powers
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I DO (Multiplying)
Simplify the rational expressions1. 2. 3. 4.
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WE DO (Multiplying)
Simplify the rational expressions1. 2. 3. 4.
![Page 19: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions](https://reader036.vdocuments.net/reader036/viewer/2022081520/5697bfcf1a28abf838ca9fa7/html5/thumbnails/19.jpg)
YOU DO (Multiplying)
Simplify the rational expressions1. 2. 3. 4.
![Page 20: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions](https://reader036.vdocuments.net/reader036/viewer/2022081520/5697bfcf1a28abf838ca9fa7/html5/thumbnails/20.jpg)
REVIEW
TODAY you learned…
![Page 21: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions](https://reader036.vdocuments.net/reader036/viewer/2022081520/5697bfcf1a28abf838ca9fa7/html5/thumbnails/21.jpg)
HOMEWORK
Worksheet9.4 (4 – 7)
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WARM UP
Find the Greatest Common Factor and Least Common Multiple
1. 9 and 272. 16 and 6Multiply3.
![Page 23: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions](https://reader036.vdocuments.net/reader036/viewer/2022081520/5697bfcf1a28abf838ca9fa7/html5/thumbnails/23.jpg)
Algebra 3Chapter 9: Rational Equations and FunctionsLesson 4: Multiplying and Dividing Rational Expressions
![Page 24: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions](https://reader036.vdocuments.net/reader036/viewer/2022081520/5697bfcf1a28abf838ca9fa7/html5/thumbnails/24.jpg)
PART 3
DIVIDING Rational Expressions
![Page 25: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions](https://reader036.vdocuments.net/reader036/viewer/2022081520/5697bfcf1a28abf838ca9fa7/html5/thumbnails/25.jpg)
TODAY
Today we are going to learn how to divide rational expressions
![Page 26: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions](https://reader036.vdocuments.net/reader036/viewer/2022081520/5697bfcf1a28abf838ca9fa7/html5/thumbnails/26.jpg)
DIRECTIONS (DIVIDING)
Take the reciprocal of the second fractionFactor termsMultiply straight acrossCancel out similar termsSimplify the numbersSimplify the variables
Remember Division means subtract powers
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I DO (DIVIDING)
Simplify the rational expressions1. 2. 3. 4.
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WE DO (DIVIDING)
Simplify the rational expressions1. 2. 3. 4.
![Page 29: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions](https://reader036.vdocuments.net/reader036/viewer/2022081520/5697bfcf1a28abf838ca9fa7/html5/thumbnails/29.jpg)
YOU DO (DIVIDING)
Simplify the rational expressions1. 2. 3.4.
![Page 30: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions](https://reader036.vdocuments.net/reader036/viewer/2022081520/5697bfcf1a28abf838ca9fa7/html5/thumbnails/30.jpg)
REVIEW
TODAY you learned…
![Page 31: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions](https://reader036.vdocuments.net/reader036/viewer/2022081520/5697bfcf1a28abf838ca9fa7/html5/thumbnails/31.jpg)
HOMEWORK
Worksheet9.4 (8 - 11)
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WARM UP
Find the Greatest Common Factor and Least Common Multiple
1. 8 and 202. 15 and 3Multiply3.
![Page 33: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions](https://reader036.vdocuments.net/reader036/viewer/2022081520/5697bfcf1a28abf838ca9fa7/html5/thumbnails/33.jpg)
Algebra 3Chapter 9: Rational Equations and FunctionsLesson 4: Multiplying and Dividing Rational Expressions
![Page 34: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions](https://reader036.vdocuments.net/reader036/viewer/2022081520/5697bfcf1a28abf838ca9fa7/html5/thumbnails/34.jpg)
TODAY
Today we are going to learn how to divide rational expressions
![Page 35: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions](https://reader036.vdocuments.net/reader036/viewer/2022081520/5697bfcf1a28abf838ca9fa7/html5/thumbnails/35.jpg)
I/WE DO (DIVIDING)
Simplify the rational expressions1. 2. 3.4.
![Page 36: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions](https://reader036.vdocuments.net/reader036/viewer/2022081520/5697bfcf1a28abf838ca9fa7/html5/thumbnails/36.jpg)
YOU DO (DIVIDING)
Simplify the rational expressions1. 2. 3.4.
![Page 37: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions](https://reader036.vdocuments.net/reader036/viewer/2022081520/5697bfcf1a28abf838ca9fa7/html5/thumbnails/37.jpg)
REVIEW
TODAY you learned…
![Page 38: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions](https://reader036.vdocuments.net/reader036/viewer/2022081520/5697bfcf1a28abf838ca9fa7/html5/thumbnails/38.jpg)
HOMEWORK
Worksheet9.4 (8 - 11)