over lesson 11–3. splash screen multiplying and dividing rational expressions lesson 11-4
TRANSCRIPT
![Page 1: Over Lesson 11–3. Splash Screen Multiplying and Dividing Rational Expressions Lesson 11-4](https://reader035.vdocuments.net/reader035/viewer/2022062221/56649f285503460f94c40889/html5/thumbnails/1.jpg)
Over Lesson 11–3
![Page 2: Over Lesson 11–3. Splash Screen Multiplying and Dividing Rational Expressions Lesson 11-4](https://reader035.vdocuments.net/reader035/viewer/2022062221/56649f285503460f94c40889/html5/thumbnails/2.jpg)
Over Lesson 11–3
![Page 3: Over Lesson 11–3. Splash Screen Multiplying and Dividing Rational Expressions Lesson 11-4](https://reader035.vdocuments.net/reader035/viewer/2022062221/56649f285503460f94c40889/html5/thumbnails/3.jpg)
Multiplying and DividingRational Expressions
Lesson 11-4
![Page 4: Over Lesson 11–3. Splash Screen Multiplying and Dividing Rational Expressions Lesson 11-4](https://reader035.vdocuments.net/reader035/viewer/2022062221/56649f285503460f94c40889/html5/thumbnails/4.jpg)
LEARNING GOAL
Understand how to multiply and divide rational expressions.
![Page 5: Over Lesson 11–3. Splash Screen Multiplying and Dividing Rational Expressions Lesson 11-4](https://reader035.vdocuments.net/reader035/viewer/2022062221/56649f285503460f94c40889/html5/thumbnails/5.jpg)
![Page 6: Over Lesson 11–3. Splash Screen Multiplying and Dividing Rational Expressions Lesson 11-4](https://reader035.vdocuments.net/reader035/viewer/2022062221/56649f285503460f94c40889/html5/thumbnails/6.jpg)
Multiply Expressions Involving Monomials
Method 1 Divide by the greatest common factor after multiplying.
The GCF is 98xyz.
Simplify.
A. Find
Multiply the numerators.Multiply the denominators.
1
1
![Page 7: Over Lesson 11–3. Splash Screen Multiplying and Dividing Rational Expressions Lesson 11-4](https://reader035.vdocuments.net/reader035/viewer/2022062221/56649f285503460f94c40889/html5/thumbnails/7.jpg)
Multiply Expressions Involving Monomials
Method 2 Divide by the common factors before multiplying.
Divide by common factors 2, 72, x, y, and z.
Multiply.
Answer:
![Page 8: Over Lesson 11–3. Splash Screen Multiplying and Dividing Rational Expressions Lesson 11-4](https://reader035.vdocuments.net/reader035/viewer/2022062221/56649f285503460f94c40889/html5/thumbnails/8.jpg)
Multiply Expressions Involving Monomials
Factor.
The GCF is (b + 3)(b – 3).
B. Find
![Page 9: Over Lesson 11–3. Splash Screen Multiplying and Dividing Rational Expressions Lesson 11-4](https://reader035.vdocuments.net/reader035/viewer/2022062221/56649f285503460f94c40889/html5/thumbnails/9.jpg)
Multiply Expressions Involving Monomials
Multiply.
Simplify.
Answer:
![Page 10: Over Lesson 11–3. Splash Screen Multiplying and Dividing Rational Expressions Lesson 11-4](https://reader035.vdocuments.net/reader035/viewer/2022062221/56649f285503460f94c40889/html5/thumbnails/10.jpg)
A. Find
A.
B.
C.
D.
![Page 11: Over Lesson 11–3. Splash Screen Multiplying and Dividing Rational Expressions Lesson 11-4](https://reader035.vdocuments.net/reader035/viewer/2022062221/56649f285503460f94c40889/html5/thumbnails/11.jpg)
B. Find
A.
B.
C.
D.
![Page 12: Over Lesson 11–3. Splash Screen Multiplying and Dividing Rational Expressions Lesson 11-4](https://reader035.vdocuments.net/reader035/viewer/2022062221/56649f285503460f94c40889/html5/thumbnails/12.jpg)
Dimensional Analysis
SPACE The velocity that a spacecraft must have in order to escape Earth’s gravitational pull is called the escape velocity. The escape velocity for a spacecraft leaving Earth is about 40,320 kilometers per hour. What is this speed in meters per second?
![Page 13: Over Lesson 11–3. Splash Screen Multiplying and Dividing Rational Expressions Lesson 11-4](https://reader035.vdocuments.net/reader035/viewer/2022062221/56649f285503460f94c40889/html5/thumbnails/13.jpg)
Dimensional Analysis
Answer: The escape velocity is 11,200 meters per second.
Multiply.
Simplify.
![Page 14: Over Lesson 11–3. Splash Screen Multiplying and Dividing Rational Expressions Lesson 11-4](https://reader035.vdocuments.net/reader035/viewer/2022062221/56649f285503460f94c40889/html5/thumbnails/14.jpg)
A. 330 kilometers per hour
B. 1188 kilometers per hour
C. 3300 kilometers per hour
D. 500 kilometers per hour
AVIATION The speed of sound, or Mach 1, is approximately 330 meters per second at sea level. What is the speed of sound in kilometers per hour?
![Page 15: Over Lesson 11–3. Splash Screen Multiplying and Dividing Rational Expressions Lesson 11-4](https://reader035.vdocuments.net/reader035/viewer/2022062221/56649f285503460f94c40889/html5/thumbnails/15.jpg)
![Page 16: Over Lesson 11–3. Splash Screen Multiplying and Dividing Rational Expressions Lesson 11-4](https://reader035.vdocuments.net/reader035/viewer/2022062221/56649f285503460f94c40889/html5/thumbnails/16.jpg)
Divide by a Polynomial
Simplify.
Divide by common factors 4, 5, and x.
Multiply by
the reciprocal of
Answer:
![Page 17: Over Lesson 11–3. Splash Screen Multiplying and Dividing Rational Expressions Lesson 11-4](https://reader035.vdocuments.net/reader035/viewer/2022062221/56649f285503460f94c40889/html5/thumbnails/17.jpg)
A.
B.
C.
D.
![Page 18: Over Lesson 11–3. Splash Screen Multiplying and Dividing Rational Expressions Lesson 11-4](https://reader035.vdocuments.net/reader035/viewer/2022062221/56649f285503460f94c40889/html5/thumbnails/18.jpg)
Divide by Rational Expressions and Polynomials
Multiply by the reciprocal of x + 3.
Write the binomial as a fraction.
Factor 3x + 9.
![Page 19: Over Lesson 11–3. Splash Screen Multiplying and Dividing Rational Expressions Lesson 11-4](https://reader035.vdocuments.net/reader035/viewer/2022062221/56649f285503460f94c40889/html5/thumbnails/19.jpg)
Divide by Rational Expressions and Polynomials
Simplify.
The GCF is x + 3.
Answer:
![Page 20: Over Lesson 11–3. Splash Screen Multiplying and Dividing Rational Expressions Lesson 11-4](https://reader035.vdocuments.net/reader035/viewer/2022062221/56649f285503460f94c40889/html5/thumbnails/20.jpg)
Divide by Rational Expressions and Polynomials
Factor 2y + 6.
Multiply by the
reciprocal,
The GCF is y + 3. Simplify.
Answer:
![Page 21: Over Lesson 11–3. Splash Screen Multiplying and Dividing Rational Expressions Lesson 11-4](https://reader035.vdocuments.net/reader035/viewer/2022062221/56649f285503460f94c40889/html5/thumbnails/21.jpg)
A.
B.
C.
D.
![Page 22: Over Lesson 11–3. Splash Screen Multiplying and Dividing Rational Expressions Lesson 11-4](https://reader035.vdocuments.net/reader035/viewer/2022062221/56649f285503460f94c40889/html5/thumbnails/22.jpg)
A.
B.
C.
D.
![Page 23: Over Lesson 11–3. Splash Screen Multiplying and Dividing Rational Expressions Lesson 11-4](https://reader035.vdocuments.net/reader035/viewer/2022062221/56649f285503460f94c40889/html5/thumbnails/23.jpg)
Expression Involving Polynomials
Factor.
Find
![Page 24: Over Lesson 11–3. Splash Screen Multiplying and Dividing Rational Expressions Lesson 11-4](https://reader035.vdocuments.net/reader035/viewer/2022062221/56649f285503460f94c40889/html5/thumbnails/24.jpg)
Expression Involving Polynomials
Simplify.
The GCF is(x – 6)(x – 5).
Answer:
![Page 25: Over Lesson 11–3. Splash Screen Multiplying and Dividing Rational Expressions Lesson 11-4](https://reader035.vdocuments.net/reader035/viewer/2022062221/56649f285503460f94c40889/html5/thumbnails/25.jpg)
Find
A.
B.
C. k – 2
D.
![Page 26: Over Lesson 11–3. Splash Screen Multiplying and Dividing Rational Expressions Lesson 11-4](https://reader035.vdocuments.net/reader035/viewer/2022062221/56649f285503460f94c40889/html5/thumbnails/26.jpg)
Homework
p. 701 #11-31 odd