(i. The accompanying graph shows the high temperatures inRegents Practice Test 1 Algebra Elmira, New York for a 5-day period in January.Integrated Algebra .y)]

~ Part 1: Multiple Choice _.~t ~'~)j ~-~ 1~,3 ... ,jJ

d . . I +' 12a c . . I1. Expresse In sImp est lorm, -- IS eqUlva ent to: g- 10 4ac $ c

[1] 8a2 [2] 3a2 [3] 3a3 [4] 3a3c F .'

:, -j I ., I

M T .V·I' +-r Day

2. Which trinomial is equivalent to (3x - 2)(x + 4)? [I] 3x2 + lOx + 8 [3] 3x2 + lOx - 8 Which statement describes the data?

? 2[2] 3x--IOx-8 [4] 3x -IOx+8 [I] median = mode [3] mean < mode [2] median = mean [4] mean = mode

3. Which property is illustrated by the equation 7. What is the slope of the line containing the points (-9,2) and (a + b) + c = c + (a + b) ?

(3,14)?[I] associative [3] distributive 8[2] commutative [4] identity [I] I [2] -I [3] [4] -2 3

4. Which interval notation is the set of all real numbers 8. What is the value of w in the equation i w+ 8 =~ w -7 ? 4 3represented by this graph? ~e ; (l !, '1! ':,

[I] 2.4 [2] -0.2 [3] -13.846 [4] -36 [1] (-2,5) [2] [-2,5) [3] (-2,5] [4] [-2,5]

9. One of the roots of the equation x2 + 3x - 18 = 0 is 3. What is 5. What is the value of y in the equation 2(3y - 4) = 10 ? the other root?

[I] 15 [2] 6 [3] -6 [4] -21 [I] I [2] 2~ [3] 3 [4] ~

3 3

! O. Which ordered pair is not in the solution set of y> 2x + I ? [I] (1,4) [2] (1,6) [3] (3,8) [4] (2,5)

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11. What is the sum of 5.J7 and 3m ? 15. In the scatter plot shown at the right, which statement best describes the correlation between the days of the week and[1] 9.J7 [2] 11.J7 [3] 60.J7 [4] 8m the number of bicycles sold? lOr •

[I] high negative correlation

2 [2] low negative correlation 8 " 12. Given the equations y = x - 4x - 5 and y + x = -1, one [3] high positive correlation ~ point that satisfies both equations is: [4] low positive correlation ~ ..[1] (-2, I) [2] (4,-5) [3] (2,-9) [4] (5,0) u

~ 4 rn

2~ ..

13. At Bison High School, there are 16 students in English Club, 16 students in Science Club and 20 students in Math Club. M T W Th F

Of these students, there are 5 students in both the English and Days althe Week

Science Clubs; 6 students in both the Science and Math Clubs; and 8 in both the English and Math Clubs. If only 2 1(). Which graph indicates correctly the graph of the inequalitystudents are in all three clubs, how many students are in at Y:: -2\" + I ? least one of the clubs? [I] 52 [2] 35 [3] 30 [4] 20

....[1] . \\:[. ....................•............~:J ..... . .. [3] " "'~l.

'"...

. '.

.;. ..........~.·<~,I .. '. "',--.! i '. I " •14. In a cup there are 4 quarters, 5 dimes, 6 nickels and

10 pennies. If one coin is selected at random, what is the :T--X-::~_··:]·_-~---·~~-T-'::· .! 1 . . ~ probability that the coin has a letter "n" in its name?

.~: ! [I] .i- [2] ~ [3] ~ [4] Ji '.:"i"25 4 16 25

. ~ i"

\ :"f[4] \ AI! \'·f'\:,:.

, \tto '

;"0'_0"'-'1" {\OJ.._-:) ..:t~.~.

:', ~

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[2]

17. Which type of graph is shown in the diagram? [I] absolute value 25

[2] exponential [3] linear 20

[4] quadratic 15

10

5

-5 -4 -3 -2 -1 1 2 3 4 5

-5

. 3x x. . I18. The expressIOn --- IS eqUlva ent to 4 3

[I] ~x [2] 14x [3] 5x [4] 5x 7 12 7 12

19. For which value of x is ,x-2 undefined? x· + 3x+ 2

[1] 1 [2] 2 [3] -2 [4] 4

20. The height, h, of a cylinder is 3 units less than 4 times its radius, r. Which expression represents the height of the cylinder in terms of its radius?

[I] 4r+3 [2] 3-4r [3] 4r-3h [4] 4r-3

21. Which graph represents a function? [I] [3]

Y;y• ,/4

I -"" X ~-~r<'~ -- _.~ X-'\

.... V~- ......." .

" ,~

[2] [4]

y-~

Y \ 1

~ _____". r ....-+_._.- . }o. x ~--~X

~L// !

22. The length of a rectangular garden is 3 yards more than its width. If the area of the garden is 36 square yards, which equation could be used to find the dimensions of the garden?

[I] x2 +3x+36=0 [3] x2 -3x-36=0 ? 2[2] x--3x+36=0 [4] x +3x-36=0

23. Which expression represents the product of

6.5 x 104 and 2Ax 10J ?

[I] 15.6x108 [3] 1.56xI012

[2] 8.9x 107 [4] 1.56x 108

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24. An LCD panel is used for a computer monitor. When 29. Let x and y be numbers such that 0 < x < y < I, and rounded to the nearest inch, the length of the monitor is let d = x - y. Which graph could represent the location 16 inches and the width is 12 inches. Which of these cannot of d on the number line? be the area of the monitor? [1] .J

[I] [2]

174 sq. in 186 sq. in.

[3] [4]

192 sq. in. 204 sq. in.

--1 C' :..

[2] d

25. Trina has a college fund started with a deposit of $10,000 which earns 5% annually. 1fno other monies are [3]

I

-1

I

(:,

d .. I

;..

I

",J

I I deposited, how much money will Trina have in her fund at -1 C' l.. Y the end of three years? [I] $11,500 [3] $15,000 [4]

I d • I I I I I

26. [2] $11,576.25 [4] $25,000

A company is designing a cylinder to hold marbles for a new -1 I) ,:.:. y

game it is inventing. The cylinder has a height of 18 inches 30. John left his home and walked 3 blocks to his school, and a diameter of6 inches. Find the volume of the cylinder as shown in the accompanying graph. What is one possible to the nearest tenth of a cubic inch. interpretation of the section of the graph from point B to [1] 108.0 [2] 508.9 [3] 678.6 [4] 1065.92 point C?

[l

27. Which point on the accompanying number line best =~" :j+

01=

2tI'::0represents the position of J5 ? ,,"<:r: ~.i.J:' ~cA 8 C D

·-1--1 I-I I I 1-'-' , + I , .. ~..c

6~ 't/-5-4-·~!-2-1 () 1:2 -345 f. '7

[I] A [2] B [3] C [4] D i/

Time

28. Given the following system of equations, find the value [1] John arrived at school and stayed throughout the day. for x in the solution. 5x - 4y = 28 [2] John waited before crossing a busy street.

3x + y= 44 [3] John returned home to get his mathematics homework. [4] John reached the top of a hill and began walking on

[I] 8 [2] 4 [3] 12 [4] 9 level ground.

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Regents Practice Test 1 Algebra Integrated Algebra

~ Part II: Show work on separate paper.

31 Solve for x: 2 (x - 3) = 1.2 - x

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L' _. - ... ~' 1 1 ' L' I r' l' I I 1 ' l ' ."·;·"·l'llL!:.I ",).;:":'.) iliilll'S \',.(11';,111'.1. ., . 'V-, :1\)llrs '.,'·.,lh·11IIJ'.! t·:, 1'\1';\.(111.. ,.~

';J.(i~::i ).. ililS C(ll, Illlllhjl~.!:. ,1.hh2 1IIIIIr~. kIS:--lIl;.!:. (l)HI ::;h::; .. l··I~ fHIII]'S I,HI

i't~H'1' t.lsk" 11'ltlll,L: 11/:'; Ilfi·t!IIII· \\f,.lt pi'n·l·tll ,d'lll~ 11k. t(:o til" .'il'OJ" ....}

Ir'ulh 11,f(,' 1!I'I(·,·u.I, dill'S III' SI)I'wl skl'IIJII'i..J o ~

33 T~ Ii' .11,1." :'jllp<III\'11 '.'~ db(.!;r~l.l J\ ~;f J ': ,".'. S ,I kit,· t 1hit 1',1,:. f I,', ,·'1 ~.( '('lni·1I tr I ,\ ;-;t .I].;"

III till' ~.!:r I ill 1"I \\ I tf I ,I ~ 11-1 ~ II ,t >t n 1I!~ T I(I' kliT I.... ] ': I, d t {' I I 1:2 r·o , i' t I'll:' III t! Ii' ~'I

'\" ',' 'I 1 I " . f 1:-!: I I IJ III': I. I IIn't' t ,\ I ': 1\1, 'r 1" H11 t ." \ 0 I ,I t 1:-; ti II' ( ISL!l II: i '. I I I,' i •to ,i, ,tv. 1'1, 'II t 1'" 1.: ,~",Ll!", ,tllll1":lJllf.\~

--:{

Part III

34 "i,i]""I' r'lt \,\.:':: + ~Ol - ;2·1 = H

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35 ItI t IIf' ,.1 U.I illl p;II J\ I 11~! d Id.~I, 1111. till • 111 .n t I jI' t -: 'r \ :I ~\.1.\" ( ) IS I '1 i I Ld t ': : tl jI'

pl'rlllll'tl"l Ii! Si.lllaH· .\JH'j> If till' ~'Idl-'s III dll\ ill,lll.t~l{' arlO HT'j'(' ­

>I·llt,·tl ~'\ ·l·l. + .~, Sr - J, ..lll"] 17. :.11111 (;.(I';· s/(I" '::! tlw ~'Jilutl' Co:. n'lHi'­>I"ntl'l! )\\ ,'}·l.. l"lwlth,·l'·III,t!lld·,j sid;" (,ftlw Si.'I'II,lI'l·......

~ IB

:;:x

(:[:0

36 TIll" ~"l:li Uf'thl' ,1.C:~'~, Id'tlll' ,111"'(' 1~f1J:ldIHlllnlt1I\,r~; IS h:3 Ifih,·il',j:~/-~~

4',(11 1H- H ·nrv:<t·llt':'l! .~> 1.1 ill:-:/'tll(i\(, intl.I.....'i-rs. ·"\'h.lt 1:-; flH' au {' j It' tilt' 1 """",,,

L: I Hll 1\ (' lin It111 ,I·,.;·

Part IV

37, :--ldn (1\1 thi' li('I';tll :"';lJl-rH.~· {Id·~,;.t~~ 1.1 :"';llld-':c'l1 ~,III,'I','llm tlH' I,h .. ':,t11 tltiiil ,ItcI

.;H I d n,~](' 1 Ii {It 'pn;'~~~'H 1\ 1 (i!:IO'" TIH- II IstdJ J II' hi·!,·.... ·; 'I'll du' :-:11 Ip 1 ill t] Ii' ~: 111­

Lll.l' <lint til(" :-,1101<")1 sliin I III t]w Oi,l'dll III fi II' IS ~OU IIlvr~'rs II till' (1;.';',1.11I

fll>or 1:-, 1,,\(,IIIJ tIll) ,;In-,l.!Ji,I\\' LlI.)]i,!"'!' dl(' lH.'I'dJl {hUll. til tlt~- ,'),'(/","'/ u ! d , .( 1>0 t1({. ~,f IIp ,Ill tl It' ~,I 1rLlU ,.J

til 4{ + 4

'. H

17

::.:( - :?:

(:~ " .'

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38 T':i(li fhnl'."':'- cl L,I]J Ilitn till" ,til' T1Jl' ~:"dl tLl\i'ls '::,11 .. l P~II;lfl.:dlt, li"ttll n'I'lt'Si'IIT,'.:! \1\ tlw ;'IJILdlltlll\' = -\/::. +llll. \'.11/'1,'1\ I> til! llt'l;i.lli. III

1;'I't.:lll·:I ... 1:-- tfH' tiJII". III :',I'I'I)/Hb

a. Graph the equation from t = 0 to t = 5 seconds, including all integral

values of t from 0 to 5.

b. What is the value of t at which h has its greatest value?

39 i: >.11 d It' HI'S t ~~1".: f .. ,>ts ill 1Ii" sn'."LtI ~.;tt IdIt'> ,_'IIIIl;';.;'. Ji·n '1\ 11';- s( ell'.:':, \}, I 'r:'

':C. ~,~, ,~h. Q2. ~t'~>. ,lIlllIJI ))l'Ii.rJnllw t]w llll'll~dl 'I'lit! t]lI'lll':ld,-:. f II'-l' :'-(111'1':"; II J:-l'l·h II T.:>::]..; >,1 >1'\f'lttll h'st ,.t!"ILll:--t·i/ tll1' lIJl',nl id' lll'l' :'.1,' j I r I '3 i :'.1';' d l ~l 1i I } j 11 t. -., \ ] LI t ... '. ~l:"; 1Jl 'r :',' 1 in' I I) J dII - ~ i, - ';, I 'lJl h h,:, t J

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Algebra Regents Practice Test 1 - Integrated Algebra "

j

Part I:

(1) 2 (9) 3 (17) 2 (25) 2

(2) 3 (10) 4 (18) 4 (26) 2

(3) 2 (11) 2 (19) 3 (27) 3

(4) 3 (12) 2 (20) 4 (28) 3

(5) 3 (13) 2 (21) 4 (29) 4

(6) 1 (14) 4 (22) 4 (30) 2

(7) 1 (15) 3 (23) 4

(8) 4 (16) 4 (24) 1

Part II: (31) 2.4 (32) 20.7% (33) 16

Part III: (34) x = -6; x = 4 (35) 18 (36) 21

Part IV: (37) 153 meters (38) greatest (39) median 91.5 {= 2.5 mode 92

i h score 96

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