nhotsoubanh.weebly.com...x s(x) 0 4 1-l 2-4 3 4-4 5 6 4 o Nl ,\r\ (1) {2,4,6, 8, ... (2) {2,,8,42,...

5
x s(x) 0 4 1 -l 2 -4 3 4 -4 5 6 4 o Nl ,\r\ (1) {2,4,6, 8, ... } (2) {2,,8,42, 208, ... } ALGEBRA 1 June 2017 17. Which statement is true about the quadratic functions g(x), shown in the table, andl(x) : (x - 3)2 + 2? (t@. l2fThey have the same zeros. '*,{?-! @)h.y have the same axis of symmetry. (4) They intersect at two points. 18. Given the functionln) defined by the following: fll'): 2 Which set could represent the range of the functio nz ftn): 5fln - 1) + 2 23. The formula for blood flow rate is given by F - Pt - Pz ,where ,F is the flow rate, p l the initial pressure, p2 the final pressure, and, r *{e resistance created by blood vessel size. Which formula ean not be derived from the given, formula? (1)p,- Fr+p, (2)pr:p,-Fr (3)y:F(p, p,) (4) r:ry2 tj {ts 4-*tU" ' ::) (3) {-8, 42,-208,1042, ... r\ (4) { 10, 50, -2s0,1250, ... } 18 J" 7 4 r'-; thr 2. 2 .-. -/ l7 Lgi 3 4 23J I 19. An equation is given. 4(x -1): 0.3(r + 2) + 2.11 The solution to the equation is (1) 8.3 (2) 8.7 (3) 3 (4) -3 20. A construction worker needs to move 120 ft3 of dirt by using a wheelbarrow. One wheelbarrow load holds 8 ft3 of dirt and each load takes him 10 minutes to complete. One correct way to figure out the number of hours he would need to complete this job is ,.rl2}tt] l0min 60min lload l20lrr lld}d tll I .lload.E.8fr,(J) | .l0rnin ^ y'20 ft3 6o min 8 ftr I I 20R.' I [o-ad l4 I'i@o16n;n'lload(+) ' og5r1 o 8 ft3 . noad. 10hrin ttuad ' 60min thr 60** , 204 2 I . One characteristic of all linear functions is that they change by (l) equal factors over equal rFten'als A -. . -. " ,,'. (z) unequal factors oveiequal intervals (' i i': Sr''2;':-' t' -'(-)t'': (3) equal differences over equal intervals / { .,/ t r (4) unequal differences over equal intervals -/ { 21 22. What are the solutions to the equation :r2 - 8x : l0? (r) + + Jro Q)a+JN (3)-a+Jro ()4+ J26 22 24.Morgan throws a ball up into the air. The height of the ball above the ground, in feet, is modeled by the function h(t): -16P + 24t,wherc t represents the time, in seconds, since the ball was thrown. What is the appropriate domain lor this situatjon? riio<r< t.s (2)0< t<9 ,6f0<h(r\<t.5 ,/0.htt)<e 24

Transcript of nhotsoubanh.weebly.com...x s(x) 0 4 1-l 2-4 3 4-4 5 6 4 o Nl ,\r\ (1) {2,4,6, 8, ... (2) {2,,8,42,...

Page 1: nhotsoubanh.weebly.com...x s(x) 0 4 1-l 2-4 3 4-4 5 6 4 o Nl ,\r\ (1) {2,4,6, 8, ... (2) {2,,8,42, 208, ... ALGEBRA 1 June 2017 17. Which statement is true about the quadratic functions

x s(x)0 41 -l2 -434 -45

6 4

o Nl ,\r\

(1) {2,4,6, 8, ... }(2) {2,,8,42, 208, ... }

ALGEBRA 1

June 201717. Which statement is true about thequadratic functions g(x), shown in thetable, andl(x) : (x - 3)2 + 2?([email protected] have the same zeros. '*,{?-!

@)h.y have the same axis of symmetry.(4) They intersect at two points.

18. Given the functionln) defined by the following: fll'): 2

Which set could represent the range of the functio nz ftn): 5fln - 1) + 2

23. The formula for blood flow rate is given by F - Pt - Pz ,where ,F is the flowrate, p l the initial pressure, p2 the final pressure, and, r *{e resistance created byblood vessel size. Which formula ean not be derived from the given, formula?(1)p,- Fr+p, (2)pr:p,-Fr (3)y:F(p, p,) (4) r:ry2

tj{ts

4-*tU" '::)

tl7ri".'ALGEBRA ]

June 2017Part II

Answer all 8 questions in this part. Eaclcredits. Clearly indicate the necessary steps,substitutions, diagramso graphs, charts, etc. [,for each question to determine your answetnecessarily drawn to scale. For all questions iranswer with no work shown will receive onlywritten in pen, except for graphs and drawpencil. [16]

25. Express in simplest form: (3x2 + 4x - 8) (

2^zJX--,/ . l/

4.)

(3) {-8, 42,-208,1042, ... r\

(4) { 10, 50, -2s0,1250, ... } 18 J"

7 4 r'-;

thr

2.

2.-. -/l7

Lgi

3

423J

I

(4' t/.?a:

::--(:{19. An equation is given. 4(x -1): 0.3(r + 2) + 2.11The solution to the equation is(1) 8.3 (2) 8.7 (3) 3 (4) -320. A construction worker needs to move 120 ft3 of dirt by using awheelbarrow. One wheelbarrow load holds 8 ft3 of dirt and each loadtakes him 10 minutes to complete. One correct way to figure out thenumber of hours he would need to complete this job is,.rl2}tt] l0min 60min lload l20lrr lld}d

tll I .lload.E.8fr,(J) | .l0rnin

^ y'20 ft3 6o min 8 ftr I I 20R.' I [o-adl4 I'i@o16n;n'lload(+)

' og5r1 o

8 ft3. noad.10hrinttuad '

60min

thr60** ,204

26. Graph the functionJU): x'- 6x on theset of axes.

'?7 ?.:1.?{l"l"r

{1-e). -

f/ t, ,"t'i 1i

2 I . One characteristic of all linear functions is that they change by(l) equal factors over equal rFten'als A -. . -.

" ,,'.(z) unequal factors oveiequal intervals (' i i': Sr''2;':-' t' -'(-)t'':

(3) equal differences over equal intervals / { .,/ t r(4) unequal differences over equal intervals -/ { 21

22. What are the solutions to the equation :r2 - 8x : l0?(r) + + Jro Q)a+JN (3)-a+Jro ()4+ J26 22

24.Morgan throws a ball up into the air. The height of the ball above theground, in feet, is modeled by the function h(t): -16P + 24t,wherc trepresents the time, in seconds, since the ball was thrown. What is theappropriate domain lor this situatjon?riio<r< t.s (2)0< t<9 ,6f0<h(r\<t.5 ,/0.htt)<e 24

t1<f

'*'G9,t:)

*J:]t)

e5o

State the coordinatesofthe vertex ofthe graph.

-' , )

4A

,-,?.(-' J

--*2-_^,

.-

Page 2: nhotsoubanh.weebly.com...x s(x) 0 4 1-l 2-4 3 4-4 5 6 4 o Nl ,\r\ (1) {2,4,6, 8, ... (2) {2,,8,42, 208, ... ALGEBRA 1 June 2017 17. Which statement is true about the quadratic functions

s-svG) -fi orrfll

.{ecep lerlueuodxe (7)ql,ror8 lerlueuodxe (g)

III pu€ 'IIrl (t).,(po '111pu€ [ (€)@6-TITTuqTe\huo-Tfptryfft 'lx)tl + (x)3'xJo onle,t ,{ue lol 'lll

'(r)B > (x)q'x p sonl€̂ il€ roC 'II

oseqtr lnoq€ sluetuel€]s qclq,,l[

'ue,rt8ere e -lf + xl7-@)BuorlcunJ erll pue 'peqder8 st

qc1q.u'(r)t7 uoltcunJ eqJ '8I

cuerpenb (7)reeutl (1)

"(o'o)ooo'st : ^ Q)

,u(e'o)ooo'st :,t (t)

7tt

io, {-h-4-b

---a9I gEG)8z (€)IZK)€I (I)

'ruurSerp eql ur u.^aoIIS sI$lcolqJo ecuenbes y '91

,(t)001 - u\d (z),(oot)E : (r)d (t)

\/\q tt$

i,L: u l.Jeql'l' eq eroql [I1(qcolq,{ueur,rtoq'senutluoc utetr}ed eql Sununssy 'u +I-'o -ut)

pu€ I :'n uotlcun3: eAISJncor eql,(q peugep oq u€c ecuenbes stql

r,,vEr

ffiffi8! tf L-l

r+iss1 :@46100r + rE : @d (t)

isJnol{ / JetrJ€ uollelndod eqt '(l)d slueserderuorlcurg qclq,^ tnoq .{reae se1dr4 sllec 00 I 3o uorlelndod e Jl 'VI

sr89'sr- (r) szlE'9I- (€) sZ8'8I (o EIS'6I- (I), R. s

i9f : (x - il a uotlenbe eql segsll€s rJo enl€̂ qclq1\ '€I

4197 lsn8nyI YU{SCTV

f0'z/sff)gI

-[- u

a(-/'rJ:,rfp,) /2 /

euou€rurs sql seqlrcsop uollcunJJo puq qolq16'e1e1 sr goder eql fep!ffib ro3 slurod 0I slcnpep

roqc€el oqJ '00I st gode.r >looq e ro3 epe;8 elqrssod lseq8tq oqJ 'tI

q c(e'o)ooo'st:^G)

)rf*-/ ?t /2 q(o o)ooo'st :4 (€)' 7'7wC t,uoltJunJ leur8rro eql ol luel€̂Inbe st uotlcunJ l{clq,{\

',( I 8'0)000'9 I : I uollcunJ eql .{q pelepoul eq u€c sree.'( I nge "1'en1e't' eqj 'rea,i nd o7o61Jo otBJ € l€ enl€A ut seletcerdep r€c 000'SIg s.olJ€tr\I '91

r-*--------\ is 'r- 'o l {lr \j5 'z 'o I tEl $'t tkd tt"zt tr/ ere zr0l - xZl +j7-=ffcrorlJunJ eIIlJo soraz eq1 '617 zt cts - osz9)

--T- e

touuo) leql sorrol€JJo roqulnu eql slfueuorletrs eql uo selnultuJo Jeqlunu 0

uo setrnurruJo Jequnu eql sluaserder.{reuorlels oql uO 'ulrnileJ 9 IUnq u€c

selnurtu gy.roj Sursrr.roxe Jltt{,t\ sorJol€

cgia.*tvt #t"tet

Lx+v<xf;+2,&1lenber

{v'v'z 'I 'I 'I 'o 'o 'l 'z-\ W{v'z'l'o'l 'z-} @

t (z- 't)'( I - 'l )'( o 'o )'(l ' I

;,rio1 oq,i^oqs'ro,tn]

ilt puP.lr.@,{1uo';11pue 11fg)

'7 ,(q pelueserder sr se4e1 qol'rnoq red 5

,A tia-# v i" torul ore uoll'

' 'ie + ry/1 : (r)a fq Poloporu og I

'srrede; roJ rnoq eqt.{q se8reqc pu€ II€c osnoq

-:f g(- Jeuuru oqt e>l€l 1pm 1r re8uol eq1 ter

'esn IIr,r p eutlose8 ssel eqtr '3utuuru suteu

eql se8ed eroru eql'reded qcreese'oq III^I punos eql repng1-eql'otpe

i)! zw"ts p .."^l*Il13Ll_-tpsfiD5 e equc

4197 lsn8nyI YUggC'I\

r,7, l-*V

Page 3: nhotsoubanh.weebly.com...x s(x) 0 4 1-l 2-4 3 4-4 5 6 4 o Nl ,\r\ (1) {2,4,6, 8, ... (2) {2,,8,42, 208, ... ALGEBRA 1 June 2017 17. Which statement is true about the quadratic functions

tvz lv

7- rz

96-=^08+xgE00t :,(Og + r& (r)v9 :[02-xrz-09 -,{gl + xVZ (S)

9l --{9-xgg1 : 'Q 1xP

eqtr s€ uorlnlos eruss 0q1 O^eq pu seol

Lr:0-x)g-rx(v)n : (I +r)8 ,x(t)

6e8e s.eut,qctqa 'rI sr e8e s.le8rqv sorur] 1l

Jo erueroJJrp aqt31 'r,(q polUJSO.reSunor{ sr pe8rqy's-re8elur olr}ncosuoc o

-T ZZ uorl€lexoc e,rrlrsod >IEIM.@)uorleleuoc e.,rr1e3eu >1ee,u (g)

'

1( pue x ueemtoq drqsuorlelo.r

I9ttZE\,7,Lt

"4d.oloq u,t\oqs oJB uorsf

crz /? ele oJeql tg ,tep ls lnq 'seseJ ulo

ere errql tS ,{pp te lnq'soseJ SU'sos€c suvs oloru 0rl'ses€c €loqg eJouI eJl

aerul sl luotuol€ls qcrq,u ',(ep qc€e poilie'u'dl|t)Y'))"ffo/rt t' sos'r o r Puu

',{'r'a"lIt 'h 'KuP red 0473o oor po.redfior se ,{ep .rad % I I Jo otpr uoni

oz vG) s(€)(v-x)s=,

EI + TS

G-x)s-= tEI_/(

L(L_Sutssed eurl eql lueserder,^Aoioq pelsrl

4169 lsn8ny--(-f //t l/ IYUggcTv

;: ,/ri I tA f f,

/-r_ = _ (: , ./- € 1c _ c , / = c f c-,t, /; ;z { -t t t -; r, i' .tr" ./' .i*!..r;7,/ U i/ ll U),"I

),/q -'; )./")'D/7.7f '-r r '" .';1/A/2/ ': " )",r.0 7y'- *7g ,,1 ,' . i , ''/ -."1- ), / /

{ €/ 7 ,. t'/'p f --/( t't-)' 'uorsrcep ;no,{ 1e pelrrre no,,( .uoq ureldxg 'ror,\€rloq

lerlueuodxe sfeldsrp 'ld:;6t'^E'rI ecuenbes oql roqloq,^ olels pu€ ourr.ureleq '92

"]t.4{:;:ttl/ }''.;.'l,/j,// ? t'rf *sft /"/2t'-;

t, *t/? |t/t/rr7t// .?,zt_ e/ I g,f,i /. / / -/ lt ,/'orvrt-", tn= oy' Ja./ / z'#,* u # -.rv/

( 2/ 1-v-t P; ryy' # f),r't'r1'>2 -r 'r ''ttz/ ' /t--7f," t etf 'v-JJ /

.,) rr:, O,/r " " r:",frn::*;r:_o?,,,I*ffiu,nu,,Sl-sul:) s'z:q ozl:o

:pr€oq eqt uo sroqrunuJo 1es 8ur,ro,o11oJ eql oloJ,^a Joqc€el V 'gZ

ul ouop aq plnoqs qrlq.u's;uluurp pu' sqdur; ro; ldeoxa 'rrutn"lf;:;Y.:ieq ppoqs sJe^asuu ily1parJ 1 ,{1uo e,LgeceJ III,{a u^aoqs {ro^r ou qlpr ra^rsuuIuclrorunu lJeJJoc u lrud slql q suoglsenb IIB rod 'eluJs ol u^\urp ,{lgrussacaulou ora sruur8alp luql oloN irel{suu rnou( auluralop ol uollsanb qJBa JoJpapplord uollururoJur oql azgqn'r1e 6s1.ruqc'sqdurS'surer8ulp'suo11nlg1sqnsulnruJoJ alugrdorddu Sugpnlcu;'sda1s .{russaJau oql aluJlpq,{1rua13 'sllpeJcZ aaloJal III^I Jo^rsuu lJarJoJ qcug 'trrud sgl ul suollsenb 8 IIB Ja.usuv

. Y. r IIUEd^'t,v -\tt I LloT,lsnanvl/)'', i\, l.il r rrussc.rv i l'J "'

T

SI

Page 4: nhotsoubanh.weebly.com...x s(x) 0 4 1-l 2-4 3 4-4 5 6 4 o Nl ,\r\ (1) {2,4,6, 8, ... (2) {2,,8,42, 208, ... ALGEBRA 1 June 2017 17. Which statement is true about the quadratic functions

4\

,, 1.,.. ,. ,.

4'ljr:! l''/,

' /:,t't,/

/ /t',/t .t /.//1 //

//_,,42:lr' ", c

:(' t / // /,-'-///i .

,?y''L.n: ; ' .,r' . "

4:.. / ..,'L/!::

,!-,1,r""i' * lt ' u,j, ) ; /-t",:' ,; *t;,.,,;t /'t' ,/t j . I

-! / - .ti r' 2, i ,,! - /' u, tn""a

&"'",: -..,','".,.. ' /" j, .', t "!* ,'t :-'/O*',' -"/; Jl '; : jJ ,l' 'o ;"

.7-7. t /-" '!-:l-J'

/.

/tt

-.\l

Iy'i

!

l

./\

f

I

u<"' lt-1

,t , - /;'"/ 1 1"4-* (^,

:' /'t -/:, .,

/," ./

i

i

r/ 'lF

Page 5: nhotsoubanh.weebly.com...x s(x) 0 4 1-l 2-4 3 4-4 5 6 4 o Nl ,\r\ (1) {2,4,6, 8, ... (2) {2,,8,42, 208, ... ALGEBRA 1 June 2017 17. Which statement is true about the quadratic functions

./ -r(;- *

./ &z

1, 2/3t'-; "i:i:. ,'t-' Ilu f / t -t ,Lllt

{,

-4+ --3?