~ Part 1: Multiple Choice

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1 Algebra Regents Practice Test 1 Integrated Algebra ~ Part 1: Multiple Choice _ (i. The accompanying graph shows the high temperatures in Elmira, New York for a 5-day period in January..y)] ~t ~'~)j ~-~ 1~,,jJ d.. I +' 12a c.. I 1. Expresse In simp est lorm, -- IS equlva ent to: g- 10 4ac $ c [1] 8a 2 [2] 3a 2 [3] 3a 3 [4] 3a 3 F.' c :, -j I., I M T.V I' +-r Day 2. Which trinomial is equivalent to (3x - 2)(x + 4)? [I] 3x 2 + lox + 8 [3] 3x 2 + 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 (a + b) + c = c + (a + b)? [I] associative [3] distributive [2] commutative [4] identity 7. What is the slope of the line containing the points (-9,2) and (3,14)? 8 [I] I [2] -I [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? represented by this graph? ~e ; (l!, '1! ':, [1] (-2,5) [2] [-2,5) [3] (-2,5] [4] [-2,5] 4 3 [I] 2.4 [2] -0.2 [3] [4] One ofthe roots of the equation x 2 + 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)

2 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 Given the equations y = x - 4x - 5 and y + x = -1, one [3] high positive correlation ~ point that satisfies both equations is: [1] (-2, I) [2] (4,-5) [3] (2,-9) [4] (5,0) u ~ 4 rn [4] low positive correlation ~ 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 inequality students 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] In a cup there are 4 quarters, 5 dimes, 6 nickels and 2~.. [1].... \\:[ ~:J..... '.. [3] " "'~l... '"..;....~. <~,I.. '. "',--.! i '. I " 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" ~ i" " [2] \ :"f [4] \ AI! \' f '\:,:., \tto ' ;"0'_0"'-'1" {\OJ.._-:).. :t~.~. :', ~ ji..!..:

3 17. Which type of graph is shown in the diagram? [I] absolute value 25 [2] exponential [3] linear 20 [4] quadratic x x.. I 18. The expression --- IS equlva ent to 4 3 [I] ~x [2] 14x [3] 5x [4] 5x For which value of x is,x-2 undefined? x + 3x+ 2 [1] 1 [2] 2 [3] -2 [4] 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 Which graph represents a function? [I] [3]... V~- y Y; --,/4 I -"" X ~-~r<'~ -'\ _.~ [2] [4] y - ~ Y \ 1 ~ ". r.,~...". " X...-+_._.-. }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] x 2 +3x+36=0 [3] x 2-3x-36=0? 2 [2] x--3x+36=0 [4] x +3x-36=0 23. Which expression represents the product of 6.5 x 10 4 and 2Ax 10J? [I] 15.6x10 8 [3] 1.56xI0 12 [2] 8.9x 10 7 [4] 1.56x 10 8

4 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] 174 sq. in [3] 192 sq. in. [2] 186 sq. in. [4] 204 sq. in. --1 C' :.. [2] d -1 (:, ;.. ", 25. J Trina has a college fund started with a deposit of $10,000 which earns 5% annually. 1fno other monies are [3] d I I.. I I deposited, how much money will Trina have in her fund at -1 C' l.. Y the end of three years? I I [I] $11,500 [3] $15,000 [4] d I I I I I I [2] $11, [4] $25,000-1 I),:.:. y 26. A company is designing a cylinder to hold marbles for a new 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] [2] [3] [4] point C? 27. :j+ Which point on the accompanying number line best =~" 01= represents the position of J5? '::0 A 8 C D I-I I I 1-'-', + I, ~!-2-1 () 1:2-345 f. '7 [I] A [2] B [3] C [4] D,,"<:r: ~.i.j:' ~c ~..c 6~ 2t I 't/ i/ [l 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.

5 Algebra Regents Practice Test 1 Integrated Algebra ~ Part II: Show work on separate paper. 31 Solve for x: 2 (x - 3) = x 32.\ 1",-",'111 ~dlt\i'\ sll"'.,'.> tl(lf till' J, ;'Lr:!:" lll<lli \\ 111 Sli"Il,l 111.:2 ~.'-; l H ;lll's 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 '.'~ d b(.!;r~l.l J\ ~;f J ':,".'. S,I kit, t 1hit 1',1,:. fi,',, '1 ~.( '('lni 1I tr I,\ ;-;t.i].;" III till' ~.!:r I ill 1"I \\ Itf 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 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'" ",Ll!",,tllll1":lJllf.\~ ~'I 1.:,~ --:{ Part III 34 "i,i]""i' r'lt \,\.:':: + ~Ol - ;2 1 = H

6 35 ItI t IIf',.1 U.I illl p;ii J\ I 11~! d Id.~I, till 111.n t IjI' 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. : (;.(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... ~ I B :;:x til 17 (:~ ".' 4{ + 4 ::.:( - :?: '. H [: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,it ci.;h I d n,~](' 1 Ii {It 'pn;'~~~'h 1\ 1 (i!:io'" TIH- II IstdJ JII' 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;.';',1.11 I 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

7 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 Ir I '3 i :'.1';' d l ~l 1i I } j 11t. -., \ ] LIt... '. ~l:"; 1Jl 'r :',' 1in' I I) J d II - ~ i, - ';, I 'ljl h h,:, t J

8 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

ALGEBRA I. 1. Find the area of the triangle ABC with vertices at A(-3,0), B(23,5) and C(15,0). a) 30 b) 50 c) 90 d) 60 e) 45

ALGEBRA I. 1. Find the area of the triangle ABC with vertices at A(-3,0), B(23,5) and C(15,0). a) 30 b) 50 c) 90 d) 60 e) 45 ALGEBRA I. Find the area of the triangle ABC with vertices at A(-3,0), B(3,) and C(,0). 30 0 90 60. Which property is illustrated by the equation ( a c a ( b? associative commutative distributive identity