notetaking with vocabulary · ©o k280 v1t2g bktu yt7aa 8s6oxfft aw0a qrye0 ilolict.a q fanlslf lr...
TRANSCRIPT
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-