HW #12-25-2012
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Transcript of HW #12-25-2012
7/28/2019 HW #12-25-2012
http://slidepdf.com/reader/full/hw-12-25-2012 1/8
2 0 6 4 - 1 - P a g e
Name:
1) f (2x-3)and(x+ 5)are multiplied formhe binomial * +bx+ c,whatishe valueof ,?
A) 7 B l 2 C) - 1s D)4
2) tl 2x -3\(x+A)=2* +Bx+6,trcnA- B=
A)2 B)5 C) -9 D) -1
3) Whatare e taclors l3* +7x-20?A) (3x+5Xx-4) B) (3x+4Xx-5) C) (3x-4Xx+5) D) (3x-sxx+ 4)
4) Therinomial4,* - 12x+9 represents e areaof a square.Epress fe measure f a side nErms of xA) 2x+3 B) 2(x+3) C) 2x-3 D) 4x+3
5) The areaof a rectangles * +10x+9. Represent e perimetgr f his rectanglenErms of xA) 4x+20 B) 4x C) 4x+10 D) 2x+10
6) Whatfactordoe bllowinginomials ave ncommon?
* + 1Ox+ 4
f -sx-za
A) x-4 B) x+2 C) x+4 D) x+6
7) Whichequation as 5and 3 as its oots?
a) * -Zx+ lS=O B) *+2x+15=0 C) * -Zx- tS=O D) *+2x-15=0
8) tf re equationf - 3x+ c =0 hasx= 2as one of tssolulions,en c mustequalA ) -1 B )1 c l 2 D) -2
9) Which ractionsdefined icra//realnumbers?
o , , f -1 o , , * - l n * -1 . , , , ,- lAl _--=' '
k -1P' '
. * r1 " r x+1' r )
P -
t -+n2_210) lfh= 0,whenhe actio^T issimplified,he
esultisA) h B) 2x+h C) 0 D) 2*+2x+h
11) What she quotient fren ,* +7x+2 s divided y 2x+ 1?
Al 3x+2 B) 3x+5 C) 3x+7 Dl Sx+lz
12t impriff:#)(+r.^)
B)x c)+ D)*) x - 1
n-1
13) Th'e xpression+ isequivalento# -1
a2
A ) *
14 ) Simplify: x1* y\-1
A)XY
. x+ y
B)+ / ^ \ a + 1v, ' a
c) {:!xy
D ) *
B) .+*r D)1*1x y
7/28/2019 HW #12-25-2012
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15). - v - bIt '*
a=rn, renxis equal o
A ) Y - b + a' m
solve: -z=e"x x+1
A) 3
, x+1 2 2so f ve :
, J= Ua*^?
A ) ;
1S) f t9+ 1=9,whichsan express ionforx in termsf canda?x x '
B)+*
2 0 6 4 - 1 - P a g e
r'\\ Y' b' amI J ' ' m) y- b+ am
c)4
c)l,t
C ) x = a + c + 1
c) 16w
c) s.6+22^,0.
c) tm
c) 8-4 ls
c) J i2=4-x
c) t)
16)
17)
B)6
B)| , t
C) (x+2724
c)r{
D) -3
D)f,-t
D ) x = a - c
D) 1694
D) 15.,6
D) ,,ti
D)+* ts
D) {3}
2a
D) (x-2722]
D) rf
-o*7F-qac
A) x= c- a B ) x = c + a
19) Whats he um fsfu ana W?
A) 20+6...% B) 16.,6
20) SimpliflT: 3 ,50 6^.,822^175
5^,120A) 15.8 4,,8 10,6 B) 15Jr+2^,8+0.'6
21) What s tre exact engh of sidexin he tiangle?
A) tn B) ,,8
22\ Rationalizee denominator::. /3
ls-Jg
A)# B) #27) Whatare re roots f re equation f * bx+ c=0?
f ^
b + , t f f - 4 a ct1 l ^za
A ) t x * 2 = x - 4
24) What s thesolution et of re equation xE =x- 1?
A) {0,3} B) {0}
25) Whichof tre following xpressions ouldbe a step ncompletinghe squareof 3* + 12x+10= 0?
A) 8+4 . i 15 B) 4 -^ /15
23) Which quationasbotr3 and6 as roots?
B) l*n=i
A) (x+ 212E B) (x+272?
26) What s tre solutiono he quadratic quation * + 5x - 1 =0 ?
B)-o*78-zac
4a
28') Whatarehe rootsot4P -3x=2 to re nearesthundredfr?
D))- b+
A) -0.43, 18 B) -1.18, .43 c) -3.41,1 23 D) 1.23,3.41
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2 0 6 4 - 1 - P a g e
2g') Whensimplified, 9 s equivalentto
30)
31)
TheexpressiontZ-f isequivalentto
A ) 2 - i B ) - 2 -
The multiplicat ivenverseof 4 + is
A - t 4 + t, ^ \ 4 + t
A)i B) i c) M32 ) lnwhichquadrantdoes re sumof 3 + 2iand4 -5ilie?
A ) t B ) i l C ) i l l
33) Find hemagnitude f he complex umber =5 + 12i.
A) 16e B) 17 C) 13
34) Whichdiagram ould epresenthe raphof an equation ih imaginaryoots?
A) -1
A)3
A) except1 and-1
A ) 7
B) -i
B ) 1
B ) 1 1
B)l
c)1
C) -2+
C) real, at ional,nd unequal
D) rat ionalandqual
c)2
c) -7
D ) i
D ) 2 +
4 - t
1 5
IV
7
D) -1
D ) 1 0
oD ) ;
D ) * - O x * 7= O
D) lesshan 1
D)3
D) y<9
D)
D)
D)
D)
35) The oots f re equation +2x+4=0 are
A) rat ionalndunequalB) imaginary
ndunequal36) Forwhich alueof kwil l f l re ootsof he equation P -4x+ k=0 be realandequal?
A)0
37 ) What s lr esum of fre rootsof Teequation - l1x+ 10= 0?
A ) 7
38 ) What s theproductof re rootsof tre equal ion2P -9x+ 6 = 0?
c) 2
40) The domainof he equation =-l-
is allrealnumbers(x- 1Y
39) Whichequation as re roots3 + .i2and -l2?
A ) * + 6 x + 7= 0 B ) P -7x *6=0 C) * - l x -4=0
B) except l C) greaterthan
B) -1 c)2
c) v<3
41) Given e real alued unction(4 =+,which numbers n re domainotf(*1?, lX ' 5
42) What s he angeof re function(4 =-P * gZ
A) v<o B ) y > 9
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43)
44)
c) y>o
2064 - 1 - Page
D) y> -2What she rtrngeof re function(, - Jrx+ 4?
A) y<o B) v>2
Whichgraphof a relation s nota function?
45) Which elation s nota function?
A) {(1,4),3,8),5,16)} B) {(1,1),2,1), (3,1)}
46) lf , =#,hen
(n+ 1) sequal
B)#
c) {(11),2,2\,3,3)}
c)#
D) {(1,1),1,2), (1,3)
D)#)i47\ Howmanyofhe ficllowingurrctionsre inear?
f(x)= lx- 41f(.9=2x+7t(tl= x- 1f(r)= 'tx4
A ) 1 B)2 c)3 D) 448) Whichof he fullowing quatorc youldproduc€a graphwift hegeneral hapeandposilion f h€graphbeloW?
A) Y='12'x B) Y=-\m c) v=,[ii D) y= [2-v
49) Whichof he followings thegraphofy=14+ 1?
50) lf (, =5x+9,wtrat"Wwhen
Aand Baredifierent?
B)v# c) U4_96 1gA .B
)s D ) 5 A - S B +18
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51) ffg(4=lx-3landh(.r) * +2awhatishe alue fg(h(1,,8))Z
A) +^,0.Z B) 6.,E2
52) Which uncilon s nofone to one?
53) Given: setl ={(1,2) ,(2,3) ,(3,4) ,4,5)}
lf he nverseof he set is ,4-1,ahich tiatements true?
A) Aand A-1are unctions.
B) AandA-1ar enotfunctions.
55) The nverseunctionf{(2,6),-3,4),7,-5)}s
A) {C2,6),3,4), 7,-5)}
B) {(2,-6),3,4),7,5)}
54) What estictionanbe made ohe domain f , = 1+. f so ratf114willbe a function?A ) - 1 < x < 1 B ) x < 1
2 0 6 4 - 1 - P a g e
D) 4^E+2) 6f ;+10
C) Aisa function nd A-1is ota unction.
D) ,4 s nota unction nd A-1is function.
C) x> -2
c) {(6,2),4,-3), 5,7)}
D) {C6,-2),4,3), 5,7)}
D ) x > 0
c) (3,-1)
56) lf -3,1)s n he unction(r, which f re followingointswillbe n he unctionlWlZA) C1,3) B) (1,-3)
571 Whats 114when(x)=1^-r,
1 1A) x-2 B)
, *2
53) The nverse f re function= P +9,x> 0 s
C) x+2
C) y=^E+g
D) (3,1)
D ) *
D) y= -ix+ g) Y= ' , l x -9 B ) y = + J y + 9
59) Whichof tre followinghave tre property ratf(x)= f1{ui)?
I y= ,
ll. ,=1^
Ilt. Y=P
tv y=fA) lV, only B) l, on\y C) l, ll, and lll, onty D) land Il, only
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--
2 0 6 4 - 1 - P a g e
60) Whichof the ollowingraphss he nveseofy= * -+l
61) Thegraph f any unction nd hegraph f ts nvesearcq/nnrctdc ith especto the
c))
A) xexisB) graph f theequation= x
62) lf thegraphof f(x) s
A) nochangeB) a flipoverthexcxis
66) lf thegraph f f(x) s
C) ytxisD) graph f theequation= -x
63) WhenpointA(-2,5)iseflectedn he ine = 1, he nnge s
A) (5,2) B) (4,s) C) (2,-3)
64) Whatare hecoordinatesf R1, he nageof R(4,3)aftera reflectionn he inewhose quationsy- X?
A) (4,3) B) (3,4) C) Ca,4)
65) Whatwill be he effecton thegraphof y= l.{ f xis replaced ith .t?
|, whichof the ollowings hegraph f -t(*1?
| , whichof the ollowings hegraph f (x- 1[
B ) x = $
c)D)
c)
68)
6e)
C) x= -3
c) (3,-7)
C) aninirrumt(2,€)
D ) Y = - l * 3 - s
D) (€,2)
D ) x = 6
D) (-3,-7)
D) a nraxirnumt(2,U)
11 - - j - : . -
ltD) (0,5)
D) (4,€)
c) a horiantalshift f 1 unit o the eftD) a verticalshift
slideshegraph7 unitseft
slideshegraph units own
c2,-3)
67) lf thegnaphIy= fx is ranslatedunitso the rbhtandslirj5 units own,whatwouldbe he esultingquation?
A) Y=,E- -5 B) y= (Jx-3) - 5 c) v= r . l -5
Whateffectwill cplacingwith(x+7)haveon hegraph f y= p2
A) slideshegraph units p
B) shrinkshegnaph y a factor f 7
Thepoint -3,-2)sreflectedn heorpin.Thecoordinates f its ncgeare
A) (2,3) B) (3,2)
70) Which san equation f theaxisof q6rrretry f thegraph = 2? - 6x- 14?
3A) *= ,
71) What s he urning oint f thegraph f the unction= * - 6x+2?
A) (-3,11) B) (3,11)
72) Thepanabola= +? + z)x+ 14willhave
A) a rnaimumat (2,€) B) a rnaxim;m t(-2,34)
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73) What s heyintercept f thegraph f theequation= 2? - 5x+7?
2 0 6 4 - 1 - P a g e
B) -5 c )2 D) -7
D) Y=? -2x+ 15
74) Which san equation f thepanbolahat ntersectshexrxis at hepoints-3,0) nd 5,0)?
A) y= ? + 2 x - 1 5 B) v=? -2x-15 c) y=? +2x+15
75) What s heequation f thegraphbelow?
A) tr=2(x-+fz B) y=(x -+f -z C) )r=2(x++)2 Z D) y= (x+qf -z
76) Wdthe equati0n f thepaEbob hatopens pu/adqhasa verto(V(2,3), nd b congrent o = l. lPbce thearBrria dE fom
y=a8-nf +t.l
A) y=(x+212 Z B) y= (x-2)2 g C) y= (x+Z)2 S D) y= (x-Z)2S
77) What san equation f thecirclewhose enter s(-3,1) ndwhose adiuss 10?
A ) 7
7A ) 3
A)6-sf
+(y+1)2 o
B) (x-3)2 (Y+ )2 1OO
781 y= *^ffi resuttsnagnaphf
A) anellipseenteredt(0,0)B) onlyhebottomalf f a circle enteredt 0,0)
c) 1x+ f +U- D2=
100D) 1x+ f +Q-1)2 s
C) a circle entered t (0,0)D) only he ophalfof a circle entercd t (0,0)
9c)2,5
79) Oonsider$ewoequations= 2&(+ 6 -'llxand 4x+ y= kx+ 2. Whatvalueof fwillenEllg th€t,oft equatons escdbehesarB line?
A) 0 B) no values f k c) 1s D ) 7
D ) 7
D ) 5 , 9
80) Considerthewo inesy=2kx+6 - 11xand x+ != kx+2. Whatvalue f kwillmke the ines an1ep
c) -7
81) Oonsiderhe wo ines = Zkx+6 - 11xand4x+ != kx+ 2. Whatvalue(s)f kw1lnnkethe ines erpendicubf
B ) 0
1 1A) O,z B) 5
82) Solve he ollowing rctem f linear quatbns or.y
4x+ y= -11
x+ ly= -g
A ) 2 B) -3
83) Which sa point f ntesectionf the equatioAs= xand = ? + x- 1?
A) (1,0) B) G1,0)
84) How mnypoints o thegraphs f * + f = g and - 4 have n conrrcn?
A ) 1 B ) 2
35) Which sa solutionor hesystem f equatbn y= 2x- 15andy= *-AnA) (6,0) B) (s,5)
86) Theexpressnn@?f)3 is equivalento
A) -27P)P B) -27Ff
c) -2
c) (0,0)
c) 0
c) (0,0)
c) 3hF
c) $y
c) 2et1s
D ) 3
D) (-1,r)
D ) 4
D) (3,-9)
D) -shP
D) $xy
D) rf
87) Theexpresst'F! isequivabnto-3Pv
A) $47 B) 6xy
8S) What s heprodut ot7 ana f z
A) 4T)s B) zlf
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1s9) lry=;,find he aluet 1 -sf .
A ) 0
23 +3290) Evaluate:
S"
8A)ng4
91) Sinplify:
"x
1A)
a1
s2) Srmplrfr31€t"13
A) 34ar4
10B ) 9
B) €1
B) 34aF12
1B) *=4
B) lx+1l<4
2D)aB)3 c)1
17c)s
c) 81
17D)C
1D) -g1
D) ,F+a+144
93) lf he ractior#ffi
b expesd in he orm .23 1ln,thealue z s
A) -1
94) Solve: ef =:256
A ) {
95) Solve: 16x1= gx
4A) *=3
B) -2
96) lt l2x+3l< 1, hen hesolutbn etcontains
A) bothpositive ndnegaWeealnunbeeB) onlynegattvecalnunbes
97) What s he solution t for heequatbn 3x- 1l=x+ 5?
A) {3} B) {1,€}
98) Whichgraph hows he mlutlon or16 34> 12?
A) - 6 -54 -3 -2 -10123456
Ft\
€-5 4 -3 -2 -10 1 2 3 4 5 6
99) Thegraphbebw Eplesentshesolutiono which nequalffi
1B ) 8
A) W+1l<4
100) What s hesolution et or - x- 6 < 0?
€ - 5 4 - 3 - 2 - 1 0 1 2 3 4 5 6
C) lx +8l< 3
C) {*2. x< 3}
C) ,&+a+t2
c)€
c) 8
C) x= -1
C) onlypositiveealnunbersD) norealnuntels
c) {-1,3}
c)-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
D) € -5 -4€ -2 -10123456
D ) 4
D) -128
D) x=4
D) 11 )
D) lx+6l> 1
D) {,{€ <x<21
+ -
2 0 6 4 - 1 - P a g e
A) {4x. -Zorx> 3} B) {,{x<€ orx>21