Answer all 24 questions in this part Each correct answer will receive 2 credits No partial. credit will be allowed Utilize the information provided for each question to determine your. answer Note that diagrams are not necessarily drawn to scale For each statement or question. choose the word or expression that of those given best completes the statement or answers. the question Record your answers on yo ur separate answer sheet 48. P P e f J L 0,e S c a r i 5 Use this space for, 1 The expression x 4 16 is equivalent to computations. 1 x 2 B x 8 c 3 x2 4 x 4D o 2 b 2 b,2 x 2 8 x 2 8,4 x 2 4 x 2 4. e s i e 7 O L 1 o P Q Jo 1 o 1 e, 2 An expression of the fifth degre Lis written with a leading coefficient. of seven and a constant of six Which expression is correctly written. for these conditions,1 6x 5 x4 3 6 lj x5,2 1J 6x 4 4 7x 5 2x 2 6 U v S fQ. J e l O e C HLr i s,It cl e iu o S S, 3 The table below shows the year and the number of households in. a building that had high speed broadband internet access. 11 16 23 33 42 47,Households,Vear 2002 2003 2004 2005 2006 2007. For which interval of time was the average rate of chan the smallest. 1 2002 2004 J 6 3 2004 2006 9 Yt,2 2003 2005 8 v 4 2005 2001 7. 2 b t ff 23,2 0Dk 2ot f,2 010 L oo 3 BY J4,Algebra I Common Core June 16 2. Use this space for, 4 The scatterplot below compares the number of bags of popcorn and computations. the number of sodas sold at each performance of the circus over. Popcorn Sales and Soda Sales,Popcorn Sales, There is a positive correlation between popcorn sales and soda. 3 etween popcorn sales and soda sales,4 s people to buy soda. I 5 45 l Q c, 5 The Celluloid Cinema sold 150 tickets to a movie Some of these were o C S 0. child tickets and the rest adult tickets A child ticket cost 7 75. and an adult ticket cost 10 25 If the cine a sold 1470 worth. of tickets which system of equations could be used to determine. II s e I c e, how many adult tickets a and how many child tickets c were sold. 0 z 0 f 71 47D,a c 150 3 a c 150,10 25a 7 75c 1470 1470. 10 25a c 150 7 75a 10 25c 150,Algebra I Common Core June 16 3 OVER. Use this space for, 6 The tables below show the values of four different functions for computations. given values of x,x f x x g x x h x x k x,1 12 1 1 1 9 1 2. 4 33 4 13 B 4 24 4 28,Which table represents alinear function A I l o. f x J c o r t o e,2 g x 4 k x,slo iJJS a,i o y u c ir c u j. 7 The acidity in a swimming pool is considered normal if th ayerag s. 2f three pH readin I,is defined such that 7 0 p 7 8. If the first two readings are 7 2 and 7 6 which value for the third. reading will result in an overall rating of normal. kt 5 2 Jt fJ t z 21 A,tll 6r9 23 i 8 6 p, i2 7 3 9 e u zz I 4 8 Bf l gtfJ 8 2 b 5 p p fz P s. f1 Pz 14 B 3 7 3 f 3 7 8,2 q Bf 2 s 4, 8 Dan took 12 5 seconds to run the 100 meter dash He calculated. the time to be approximately,fl 0 2083 minute 3 0 2083 hour. 2 750 minutes 4 0 52083 hour, 9 When 3x 2 5 x 4 is solved for x the solution is 3X 2 S x t. 1 x 3 3 x 11 s x 2 S 1 2 0,2 x 3 4 x 11 22 S 2X,Algebra I Common Core June 16 4. Use this space for, 10 The expression 3 x2 1 x 2 1x 10 is equivalent to computations. 1 2x2 7x 7 3 2x 2 7x 9 3 X 1 t 7 X ID,2x2 1x if 4 2x 2 1x 11. 11 The r2 98 of the function f x x2 2x 8 is all real numbers. 1 less than ore ual to 9,2 greater than or equal to 9 J 2. 3 less than or equal to 1 A,4 greater than or equal to 1 di 0 C X e J. X Y st 1 t J e,l J o wke 3 5 va,12 The zeros gf the functionf x x2 5x 6 are. Jl and f 3 2 and 3 t,2 1 and 6 4 2 and 3 jV, 13 In a sequence the first term is 4 and the common difference is 3. The fifth term of this sequence is,1 11 CJ3f 16 0 4 7 0. 2 8 4 19 I r s 2 J 3rJ, 14 The growth of a certain organism can be modeled by. C t 10 1 029 24t where C t is the total number of cells after. t hours Which function is approximately equivalent to C t. 1 C t 240 083 24t c l 986 q,2 C t 10 083 t 4 C t 240 1 986 24. Algebra I Common Core June 16 5 OVER,Use this space for. 15 A public opinion poll was taken to explore the relationship between computations. age and support for a candidate in an election The results of the poll. are summarized in the table below,Age For Against No Opinion. 21 40 30 12 8,k 30 1 z t 8 5D,41 60 20 40 15,Over 60 25 35 15. What percent of the 21 40 age groug was the candidate 30. 1 15 3 40 O fo J o l,2 25 CI4 6oJ, 16 Which equation and ordered pair represent the cor vertex fo. and vertex forj x x2 12x 7 2,j x x 6 2 43,x x 6 2 43. 3 j x x 6 2 29,M j x x 6 2 29,i e ve r e a s,J c t b 2 l. 17 A student invests 500 for 3 years in a savings account that earns. 4 interest per year No further deposits or withdrawals are made. during this time Which statement does not yield the correct balance. in the account at the end of 3 years,A t 1 r yt 3,1 500 1 04 3 S 6 2 l 3 2 A s oo 1 o V. 2 500 1 04t q z 3 s ft S OD l I O tt,3 500 1 04 1 04 1 04 62 L 3 2. 4 500 500 04 520 04 540 8 04 s gz 45Z,A soo 1 oo D y6 o. Algebra I Common Core June 16 6,Use this space for. 18 The line represented by the equation 411 2x 33 6 shares computations. a solution point with the line represented by the table below. l s e c r x y,o 1 Ut 4 5,The solution for this system is. 1 14 0 1 4 3 1 9 4 6,2 x 0z 4 28, 19 What is the solution of the equation 2 x 2 4 28 2 X Z f X l 2 8. 1 6 only 3 2 and 6 J X a flX t 8 4 2 B,2 2 only 4 6 and 2 2 X z 8 2 1 C. Q 2 K b J Q C, 20 The dot plot shown below represents the number of pfts e by 8 i JS t2 l. students in a class 2,Q z A B J 64 4 1 1,s r B zs b. o1 1 2 3 4 s 6 14,0 I I Z 2Z 22 3 3 333 tJ 4 4 S ttf. Which statement about the data is not true 8 Lb 8,1 The median is 3 Tr e z 3 4 c J. The inter uartile range is 2 Jr Q U 3,The mean is 3 l ot r a Z 75. 4 The data contain no outliers,1r e t b A 2,Algebra I Common Core June 16 7 OVER. Use this space for, 21 What is the largest integer x for which the value of computations. f x 5x4 30x2 9 will be greater than the value of g x 3x. 1 7 d 2 lc o 1 x ftxJ q j,2 8 4 10 flp 1348Y 2 8,ep J o uc 7. 5 rJ jj f J b IJ fl J 0,0 8 22 6 61,j ra r i eel o r. Q c 3S zef t 19 i3, 22 The graphs of the functions fix Ix 31 1andg x 2x 1 are ttJ 19. drawn Which statement about these functions is true. 1 The solution to x g x i fJ l,5 f I 1J1o r bo k t L. 2 The solution to f x g x is 1 l c,o p c C c c,3 The graphs intersect w en J J. h h l SD e d q C c O J ttJ e, 4 The grap s intersect w e x v ci s t Q So 0 l S or. e 3 ks e e Se c er5 e c o s,Q li I 3 s f z cf 1 r c C w re O S lole r S. 23 A store se s self serve frozen yogurt sundaes The function C w. represents the cost in dollars of a sundae weighing w ounces. An appropriate domain for the function would be,1 integers e we ke r ke f 0 S e f S e. 2 rational numbers EU c 1 J e ra c o 1 S o L o Se S 4L. 3 nonnegative integers S S O c cl,nonnegative rational numbeV r S o e r. 24 Sara was asked to solve this word problem The product of two. consecutiye integers is 156 What are the integers, What type of equation should she create to solve this problem. 1 linear 3 exponential,Q2 quacfratic J 4 absolute value. LeJ x r ese e Q s e c r,Le X V rep r e s Q 1 t,tJr e x 1 IS s 1 o. X2 I S 6 l v J r c,Xa x t 6 D e J ca 0,Algebra I Common Core June 16 8. Answer all 8 questions in this part Each correct answer will receive 2 credits Clearly. indicate the necessary steps including appropriate formula substitutions diagrams graphs. charts etc Utilize the information provided for each question to determine your answer. Note that diagrams are not necessarily drawn to scale For all questions in this part a correct. numerical answer with no work shown will receive only 1 credit All answers should be. written in pen except for graphs and drawings which should be done in pencil 16. 2x 1 find g x if g x 2 f x 2 1,25 Given thatf x,3 2 21 1 C. 3 t x 2 i J x z 4 x 0 I,3 lx 8 X z BX Z,J J tax z 8 7. 26 Determine if the product of 3 J2 and s Jls is rational or irrational Explain your answer. Algebra I Common Core June 16 9, 27 On the set of axes below draw the graph of y x2 4x 1. State the equation of the axis of symmetry,Algebra I Common Core June 16 10. 28 Arny solved the equation 2 5x 42 O Sh, and 6 Do you agree with Amy s soluti ns E ew i o ons. to the equation were,5 c f 2 S fr J lo 3,p e e 1 e V a c or. 59 U C 2 X S X t iz D,2X a r5 tl2 o o c 84 e,2J Z 4 S X 42 0 x f2 1 x 2 o or so 1N f. zf z t f 42 x Z,l f 2 ff 6 lf,2 t S L Z D ffJ5,fi 2 ff f E f a ce S X w 12 X 7X. 48 S 4 Z D,2 1 5 11 5 42 o,2 Xi 2 X 7X t l 2 O,4 2 t 1 2 o. 4 1 3 61 n 12x r 7x z D,4 J 1x x 7 i b 0,2 Xz4 S X 42 i. 2 i 5 1 I Z e 0,x t tr 2 x 1 0,2 36 10 c Jz o,x Lf I l L 2 7. I 0 5 e A yl so a r,fl Sb f o n s A s 1 zo r C 0 Q O IJ S r L. MQ c L he o re c occe c,o 5n L j e e l 0 b1 j,Ie w a io bj rc J 2 S e s c L. Co VV p l h So l Y r,r l eiL Uii S,AVV y tk s e o IJ u u. Algebra I Common Core June 16, 29 Sue and Kathy were doing their algebra homework They were asked to write the equation of. the line that passes through the points 3 4 and 6 1 Sue wrote y 4 l x 3 and Kathy. wrote y 3x 3 Justify why both students are correct. C t bo l c t 1 Cl c s,CQ C or r S e e e j C o f a,f t t S cf. g i sf J e h a re U re b L L,y h 1 b ai US r,L s J 4 Q cl J J 0 e el c 1. J es c be k CL S c e re 0 1 p bJi Je el,t I C f I l IJ r e S. Algebra I Common Core June 16 12, 30 During a recent snowstorm in Red Hook NY Jaime noted thatthere were 4 inches of snow on. the ground at 3 00 p m and there were 6 inches of snow on the ground at 7 00 p m. If she were to graph these data what does the slope of the line connecting these two points. represent in the context of this problem,r e c 9 De. AW svJ Q r,Ca te f h s pn 6 e J,e lope o t l e e f ts. hQ ra e of SV1ou i fa JI j pe r ho r,rQ te of 21 J s J s o. s I 0 u o 0,Algebra I Common Core June 16 13 OVER, 31 The formula for the sum of the degree measures of the interior angles of a polygon is. S 180 n 2 Solve for n the number of sides of the polygon in terms of S. Algebra I Common Core June 16 14, 32 In the diagram below f x x3 2x2 is graphed Also graphed is g x the result of a translation. Determine an equation of g x Explain your reasoning. x c s J t n o f tJ,3 h 0 y u c o G 4,c e a 2 3 I,Algebra I Common Core June 16 15 OVER.

ALGEBRA I (COMMON CORE) The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION ALGEBRA I (Common Core) Wednesday, August 17, 2016 - 8:30 to 11:30 a.m., only

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