Name !./.. (ÿ ;[..I
Date
Period
Rational Expressions and Equations Review
Simplify the expressions, State any excluded values,
18X6 )( ..,.)ÿ ()
2.
1. 27x4°
I2 'l
2x+6
4x - 12
q,ÿ(: f7
5>
"2
7 .K-(
)x : 73
.....
'
-ÿ l ,{ < "ÿ "-,, !I
I .ll>' :>) 1
I .... L .................
x" +9x+20
,
]./ -zÿ
x2 +12x+ 20
4.
2x+8
3x+6
.................. i
,s 1 i ,
?, .-ÿ { t, )
0
-(>,,)
(.< ÿ i!>)
','
/,, ,'ÿ'<'><' "S, )
...... :i;; ,
<//, W
s4 Iq ÿ'{
7 ";I
( Y o
................. -, ,
5. SSx l!;i>,i
ÿZ0
6. Y Yÿ
4 2
__-}-__
2
X X
,t J #'
, ..... -,rf"
/' ÿ,1
4ÿ,,
<<!
>.3. '- >!' .....
k Vÿ
2..
,.,I :L_
¢ '--,+
)o k2'.
AL.<. ÿ !, ..)
<ÿz--..\ ,, f
<<i ''/'ÿ ?
5
2
7. x-2 x+2
7
5
X2-4 X+2
"J ?
1',
ÿ( ...................
iJl i '
Sonving Rationai Equations
Solve each equation for x. SHOW WORK!
13
-4x
11
25
x-8
x-8
x-8
=--
2.)
3
2x
8
4 4x-24 x-6
/:i ,f _ 'ÿi
-1 i\,
ÿ
...... ÿ, .............. ,,
)
xf!i,x-.c ) 4"'
!ÿ:,!ÿ) q OÿA°
,'
Yi .......
f ? °
i
3 9 11
s,)
---t
5x+lO 5
18
4.)
6x 12 4x
4
-6
x+2
It ° 4;{
', ÿ,
"t ............
]2?ÿ l?_x ÿzX
.....
,
:
0 ÿ. x i ;: )
x- ! i
12
b
7
1 4x 29
2
6.) ---I-
5.) x2+5x+6 x+3 x+2
I :>
"7× I l<l
10 5x 2x
9X-ÿ L..,ÿ,
1 o/
(.y, ÿ-'ÿ°ÿlÿ
ÿ '
, :, t:,, },,
, ;!.)
i.ÿ, ÿ !5 X"
)
20 ,::)X
14
7,)
+
7x
63
2x-5 2x-5 2x-5
8.)
2
+
x-6
t"-ÿ3
7
x+2
/, = 0
Z- [
cyZl(,
j
4x+2
xÿ-4x-12
"i /:\ ? /'-
Rational Expression
Nultip]ying & Dividing
Multiply or divide the rational expressions. Show work & factor when necessary.
\
1.
2x+6
x+2
g"
5x+lO x2+4x+3
{) (",'{
,ÿ
,
ÿ
x2-x-12
f 0_.t
2.
3x-9
l S( >,
,
6
x2 -5x+4 x-1
3.
x2
(x-
x
;<,
/V
4.
x-4
" 12
:-ÿ2
8x + 40
x2+9x+3ÿ 6x-12
i; ......
..... .,J ,/. 2ÿ'
(>,,
7xÿ 14x3
6.
12;( 48y1
If.S ¢ Iÿ7: 'ÿ'-
x2 + 5x - 24 3x + 24
7.
+
2x + 2
x2 - 8x - 9
4x x2 +8x + 7 ÿ!!ÿ!.:ÿ .
,
8ÿ+8
8ÿ'
___ ....... _ =
, ,,! !ÿoY: _
l
) ÿ' I,
Rational Expression AddingJSubtracting
Add or subtract these rational expressions. Show your common denominators and
numerators on this sheet or separate paper. FACTOR denominators when
possible.
.....
1.
7 52ÿ
3x
55
3ÿ.........
tÿx
I<-ÿ,x It, m:.
3.
3
x+2
ÿ
4
l
ltS)ÿ.
.......
2.
ÿ-6x+!1 -;
2x+6
q
.
cÿ,>::ÿ-l'i," I.<-,!I, J CoT,;iÿ?
1
4
4. --+
x-7
y+3
ÿ2+4y+3
4
<IX-)1 .ÿ A)I.ÿ-II
-!
ci,7)(ÿ-i:)_} i- :i]cx.,:,)
/ °
i}!
-
, ,
)
'
..Ix '-:I
2 3
,
2x+3 3x+4
,
5x lOx
$.X'l- v>
71),ÿ
lP)I (>)f
5x-30
x-6
Iÿ':, v ', '
m('/,, .... co} ÿ1/,. ÿ..
[_ÿ2 "; 7 s t
,ÿ:ÿ/"
<ÿ,--<jÿ,, IOi,, 'i :5 <..,'.;ÿ
2x
o
x-ll
.....
5
6x-7
x-ll
.....
,
4
+
X2 +6x+5 x+5
1
9 :i : ( " I'
o!.)ÿ ' .)
1.0 '/,
"ÿ
...... <- xl., .ÿ.,), ÿ
7tl 'LX )% sÿ
I ...... _ .....
/