Algebra 2 Copyright © Big Ideas Learning, LLC Student Journal All rights reserved. 202

7.3 Notetaking with Vocabulary For use after Lesson 7.3

Name _________________________________________________________ Date _________

In your own words, write the meaning of each vocabulary term.

rational expression

simplified form of a rational expression

Core Concepts Simplifying Rational Expressions Let a, b, and c be expressions with 0b ≠ and 0.c ≠

Property a cb c

ab

= Divide out common factor c.

__________________________________________________________

Examples 15 3 565

•=13 5•

313

= Divide out common factor 5.

( )4 3x +

( ) ( )3 3x x+ +4

3x=

+ Divide out common factor + 3.x

Notes:

©O k280v1t2g bKTuYt7aa 8S6oXfftAw0aQrYe0 ILoLiCt.A q fANlSlf LrPibgzh9tGsL ur1e9slefravteadg.R i xMfa2dQe3 pw2iatGhD 9I0n2fAipnAiytoeC DAHlTgAe2bnr9ai 71b.D Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 1 Name___________________________________

Period____Date________________Simplifying Rational Expressions

Simplify each expression.

1)

−36

x3

42

x22)

16

r2

16

r3

3)

16

p2

28

p4)

32

n2

24

n

5)

−70

n2

28

n6)

15

n

30

n3

7)

2

r − 4

r − 28)

45

10

a − 10

9)

x − 4

3

x2 − 12

x10)

15

a − 3

24

11)

v − 5

v2 − 10

v + 2512)

x + 6

x2 + 5

x − 6

-1-

©c a2y0n102d 5Kuu7teaC eSBoNf8twwpaErLeo tLcLlCn.J 8 sA0lAlB erpiMgghVtbs8 pr2e5sleirZvyeMdo.G c 2MqaKdoeQ FwAiUtJhH UIhnNfNicnZi3tkeC SAUlCgteDbwrbav H1Y.m Worksheet by Kuta Software LLC

13)

27

27

x + 1814)

v2 − 7

v − 30

v2 − 5

v − 24

15)

x2 + 8

x + 12

x2 + 3

x − 1816)

x2 − 11

x + 18

x2 + 2

x − 8

17)

b2 + 3

b − 28

b2 − 49

18)

v2 − 3

v − 40

v2 − 11

v + 24

19)

4

n − 4

6

n − 2020)

v2 − 5

v − 14

v2 + 4

v + 4

21)

6

v3 + 42

v2

2

v2 + 26

v + 8422)

x3 −

x2 − 42

x

2

x2 − 20

x + 42

23)

2

v2 + 10

v − 48

8

v + 6424)

9

x2 + 81

x

x3 + 8

x2 − 9

x

25)

x2 + 2

x − 80

2

x3 − 24

x2 + 64

x26)

3

r2 − 39

r + 90

r2 − 3

r − 70

-2-