7/28/2019 HW #12-25-2012

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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

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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