LAMC
Exam 28
Chapter 3 and 4
Math 125
Spring 2009
Your name:
.
.
.
Please show your work clearly.
Points are assigned for the answer and the work shown.
Calculators are not allowed.
1.
;}
2.
2.
4x2 -36
~
3.
x3 -125
4.
x2 -xy+4x-4y
4
('k ~
9) =/4-Ci-.t3) (i.-?, )
.
3.
=:
A C X. -'1 ')
+4
Lx-y )
4.
-.. ()(-~~)-l~:4-) ~
I"
5.
List all the restrictions:
x+5
x2 -x-42
-::
f+5
5.
({..-f1) l't-.-t-6 )
)( :;.7.
--~-](
-""='"
6.
6.
Solve n(3n-5)=2
3n'2.-sn
~<2
3n~-17()
-2~O
('?n+ I ) (
v')
- '2) =0
=? 3n+ 1=0
ad< Yl- 2..~o
~2~~~_~~~J
7.
Theperimeter of a rectangle is 30 inches, and its area is 54 square inches.
Find the length
of the longest side of the rectangle. (Set up an equation and solve.)
r
7.
P=-2JH.2r.J
.9.
J
A=J>.1.0
I
30:: '2. 4-?w
15.=to+-
-)
·.ZO=2JHtJ
;4..= 'vJ
54- =( l5 -w)oLJ
54=:
L.V
(IS-W)=
I
\l7c.u-
w
2
w.2.-I z;w + l34-=O
(w-q;lw
-b
;=-O
( J=-6
\J
-
.;
l"s
10.
( 3X -1)( ~+6 )
-
X ()(~3-6)
==
(3)(-IX{+£)
X (i~)('t--6)
0'
I 'J:i) LoY\fest
For problems 8 and 9, perform the indicated operations and simplify.
10. Simplify 3x23+17x-6
x - 36x
q
w=b
=-Ii.!><-I
I)(Ct-6)
,I
J)=SI
<1 ifl.
For problems 11-12, multiply or divide and simplify if possible.
5a-6
--3
11.
a-12
:2(
c::.
-b ) _ (0.-I z.)
b
f,
11.
'5(4
6
~ ~ L50. -f,)
- Co. -/2;
IOo.-12-lA+ 12
£
6
12.
5
+
x2 +5x-14
3
+3
S
~
12.
()(-tFl)l~-L) (<LX+I;)
()(-l.)
2X2+x-IO
5(2;(tS)
_
-\-
3 Ci T '1)
(X -t1j) l{-2) ( Z#SJ
-
!OX+2tJ
t':3)(t2\
::.
13)(+4£
It-+,-,')li-L) l7..i-fS)
Ci---Pl)(t- -2) (4( + ~J
For problems 13-14, multiply or divide and simplify if possible.
13.
x2 -
2x
25 .~
t-~+s) (i -5 )
~
5- X
4 )\
21.
-
14.
X2
+ lOx + 25
2
X - x
:-
(t+~)(t.+;)
X ()(-I)
13.
6
~
Q()(+S)
-1
-( X-S)
=
' -2(/+5)
)1
. Jl
I
-15
. 5x25x+3 22x
2
- 3x
_
14.
(;X-3)()(+;)
'1'-( Z?x-~)
'f-:2(91. -~)
( !;;'/..-3'1'1-+5)
_,
:J
X (X+,?)
(x -I)
,1
I
15. Divide 4/ - 5/ + 2y - 6 by / - 3y usingthe longdivision. Statethe quotientandthe remainder
clearly.
15.
4Yj
-£
413-S12-{-2-(
0: 4j +1
4,/ 3 -tz.yz.
i
2+ z.'/
'lyJ. -2.1,/
ry
23 j
16.
R; 23'1-~
-6
___~---1L
---,
-.£
Use synthetic division to determine the quotient and remainder.
-9x-6)+(x-4)
(3X3 +lOx2
3
16.
lO
4-
/2-
2'2..
G: 3)(+'2'2)(
f<.: 310---
~
+qq
_ _.J~
r
----
17.
17. Simplify the following complex fraction:
~;,-,.i.'!>.'
12~
I'
r~ ~_!)
2x 6
2
\2.1
--- --..
(
--
3
3x +4
)
,~
- -.
For problems 18-19, , solve the following for x.
18.
5
x--=4
18.
x
t: (~ - ~
')::::
4~
X2_ C)
-?
4;<
~
X~>( - 5=-0
( X.-5) ()(-tf )==0
I
>(=-5
19.
6
4
8
x-4
x+3
x-4
----
ot'
)(.....
I
~~
19.
(i-.-4-)(~-+3)
r
~
l
Ki3"J
-~
i.-4-
("'-4-)(#-3)
t:~
( -l.f-
6 (>Z+3) -4(i-4) = 8-(x+-3)
. Gx-+Ig-4)( -+ ItJ
,2)<-t 34
_
£; -
= $Sf-t-24
::::
8- )(
10 = 6X
-
10
- 6
_ J
-
A
20. It takes Jodi three times as long to deliver papers cfsIt does Jannie. ~,
in 15 minutes. How long would it take Jodi by herself?
J5t
J..
( 3-1:
!;f
_ -L · rr..L
-t ) - I~
L
+ ...l
I~
~-t.
7-0 ~ -t
+2.4
21. Rene can ride her bike 60 miles in 1 hour less time than it takes Sue to ride 60 miles. Rene's
rate is 3 miles per hour faster than Sue's rate. Find Rene's rate.
21.
feY1€.,
~ue
(J
t
of
--t-I
t.-I
60
~
-t
~
I0
60
-I::
-I)
0
tlltle "tmtveleJhy sue.
t.be
-then t~l
=
i.-I
-t(
L£+
60
-t
+-
'I
1/
CD
3
(j)
R:.
t
LCD..
4= Q,
t
J
t::f
(-f - / )
~
-t-l
60
t
:::
60 (-f
~J) -I- 3-t-
(t-I)
Got - 60 i - 6 0 + 3 -b :?--
3-&
o - 3t2-3i:: -60 -;:;3L-'=~-t-20)
=- 3
t -t
~
is
0'00
Rerw. IS ~tJvl-e
bfJ
~ .. -5-1
-~) ( -t + CI-)
I
Rene