Math Fractions Practice Worksheet
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1
2
3
40
Since
fractions
are
involved,
try
to
get
common denominators,
then
use
proportional
rules.
x' I 13 x'+l 13 -,
;*;=i,
;,
U-'+6=13x,
6xz
-t3x+6=0,
(3x-Z)(Zx-Z)=O
Answer:
y-2
a16r-
3
.32
8)
(x'
-S)(*'
-l)
=0,
Answer:
x=+.6
and
+l
h)
(""'
-9)(*'''
-1)
=
O,
Answer:
x
=
8l
and
x
=
I
l-Y
. )
- )
/^
r\/a
.\
1
1
i)
-=6,
l-x=6x',
6xt+x-l=Q,
(lx-t)(2x+l)=0,Answer:
r=*
andx=-:
r"JZ
1.a)
Vertical
as)'mptotes are
found
at
values
that
make
ONLY
the
denominalor
zero.
If
a
value of
x
makes
both
the
denominator
and numerator zero, there
is
a
hole. Horizontal
asymptotes
are
also
known
as
end
behavior. Answer:
VA:
x
=
3, HA:
/
=
I
b)
For
the
horizontal
asymptote, since the
bigger
exponent
is in
the
denominator,
the
function
will
alwaysapproachzero. Answer:
VA:
x=l
andx=-1, HA:
l=0
c)
Answer:
VA:
none,
HA:
y
=
6
d)
Factorbeforedecidingeither.
r=
(l-']Ji*'J,=
(in'],,arx:3,rhereisahote.
x(x-3)(x+6)
x(x+6)
Answer:
VA: x=0andx=-6, HA:
/=0
e)
Since the largest exponent
is
in
the
numerator
and
denominator,
the
horizontal aslmptote
can
befoundbylookingattheleadingterms,
)=2.
Answer:
VA: r =1,
HA:
y=2
x-
(T)
u)
In all
of
the
following,
when you
have
fractions
within
fractions,
always
try
to
simplify by first
t-/xxx2)y
-
usingcommondenominatort
I
,
=;j=;
rh,Answer: ,rji
A--
22
|
*t
l+4x
b)
L=
--t
;=+
i*,Answer:
\!Ur_* (DoNorcrossthex'soff)
--L
xx
I x'-I
Y--
*'-l
x
x'-l
c)
--i
=uh
=
? 7;,
Answer:
ffi
tvou
can
not
simplify
any
turrher)
Xy
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