January ..51 Uct :l-:s - JMAP

1 ALGEBRA I ( common core ). The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION. ALGEBRA I ( common core ). Monday, January 26, 2015- 1:15 to 4 , only Student Name: ..51e L) Uct..:l-:s e:> .., '. School Name: --------= ~~W=-----=-= :,:..___.,'v,..-ll~_~~~__,ft=--=- ~o~r'--j-=:J----- The possession or use of any communications device is strictly prohibited when taking this examination. If you have or use any communications device, no matter how briefly, your examination will be invalidated and no score will be calculated for you. Print your name and the name of your school on the lines above. A separate answer sheet for Part I has been provided to you. Follow the instructions from the proctor for completing the student information on your answer sheet.

2 This examination has four parts, with a total of 37 questions. You must answer all questions in this examination. Record your answers to the Part I multiple-choice questions on the separate answer sheet. Write your answers to the questions in Parts II, III, and IV directly in this booklet. All work should be written in pen, except graphs and drawings, which should be done in pencil. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. The formulas Jhat you may need to answer some questions in this examination are found at the end of the examination. This sheet is perforated so you may remove it from this booklet. Scrap paper is not permitted for any part of this examination, but you may use the blank spaces in this booklet as scrap paper.

3 A perf()rated sheet of scrap graph paper is provided at the end of this booklet for any question for which graphing may be helpful but is not required. You may remove this sheet from this booklet. Any work done on this sheet of scrap graph paper will not be scored. When you have completed the examination, you must sign the statement printed at the end of the answer sheet, indicating that you had no unlawful knowledge of the questions or answers prior to the examination and that you have neither given nor received assistance in answering any of the questions during the examination. Your answer sheet cannot be accepted if you fail to sign this declaration. Notice .. A graphing calculator and a straightedge (ruler) must be available for you to use while taking this examination.

4 DO NOT OPEN THIS EXAMINATION BOOKLET UNTIL THE SIGNAL IS GIVEN. (380~ NO~~O~) I 'V8838l'V. Part I. Answer all24 questions in this part. Each correct answer will receive 2 credits. No partial credit will be allowed. 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 your separate answer sheet. [48]. Use this space for 1 The owner of a small computer repair business has one employee, computations. who is paid an. ho.~rly ~at~..9-f j22. The owner estimates his weekly profit using the function P(x) = 8600 - 22x. In this function, x represents the number of I, ll /) f'./: :: Q <..'""""'-"""'.._,; _ 6 p ~ ,$e. fi'. (1) COmputerS repaired per Week~~ rrc; I ~~ (.

5 /! /(H'~" k). h k d ours wor e per wee I\~U. (3) customers served per week I.,U! l k L/,;0. rl /! f . ,' -:: t!JI. 0 <:J00. _ j j ?? :f( ~ '- 'I. )~4>. (4) days worked per week 2 Peyton is a sprinter who can run the 40-yard dash in seconds. He converts his speed into miles per hour, as shown below. 40 yd .1__!!_ ~. 60 sec 60 min sec l yd \E) 1 min l hr Which ratio is incorrectly written to convert his speed? 3ft 60 sec (1) -- (3). l yd l min 5280 ft (4). 60min 4. l mi 1 hr ~~D~~ ~(L. 3 Which equation has the same solutions ~s 2x 2 +x - 3 = 0? .l_~'"-t'X-X -~ .2X .t-2?< -3 X -3. Ji6 (2x - 1)(x + 3) =0 (3) (2x - 3~)(x + 1) =0. (1 (2x + l)(x - 3) = 0 (2x + 3)(x - 1) = 0. ). l'- 6 X+-X. -3 :2. )<.. - 2 X + 3 "- -3. Algebra I ( common core )- Jan. '15 [2]. Use this space for 4 Krystal was given $3000 when she tumed,j_years old.

6 Her parents computations. invested it at a 2% interest rate compounded annually. No deposits or withdrawals were made. Which expression can be used to determine '2 ::.. \ )o how much money Krystal had in the account when she turned 18? )> I (t, - L , e 3000(1 + ) 16 (3) 3000(1. '. + )18. - ~~ ~- }. eJ. o l \__$. \.. {o-h~ (2) 3000(1 - ) 16 (4) 3000(1 - ) 18 CbY\1\.. ~ " ~. 9~. 5 Which table of values represents a linear relationship? X f(x) X f(x). -1 -3. I. -1 -3. (~c. E>. t. 0 -2. I. 0 -1 \)<. 1 1. 3 1 1. C9~'(er ? 2. ,, 2 6. 7. 2 3. t. 3 13 3 5. e (1).. X f(x) X f(x). 1. -1 -1 -1. 2 ~. 0 1 0 0. ( ) I. 1 2 1 1. I 2 4. 2- I. 2 8. 7. I '-t I I~. 3 8 ~--- 3 '-----~- 27. t " (2) (4). ~. ~ ~~. _J ..). J .. 6 Which domain would be the most appropriate set to use for a ?

7 A.._. function that predicts the number of household online-deyj,ces in ~ "i terms of the number of ~ in the household? 1\. j){ integers _;;r( irrational numbers .. :; _&e~~ , whole numbers {4!(. F ' rational numbers v-.~ ,..-r~o-alS. - ;::# ~ IL"f\~ I" J,..g \j v ~-::>. (_ LJ(_ Jo ~+ Pr~~ o ~. we_ ~ "~ 1\"-j j:,".. ~.s Algebra I ( common core )- Jan. '15 [3] [OVER]. Use th"IS space for 7 The inequality 7 - ~ x < x - 8 is equivalent to 7- ~ <: )<, _ 6 computations . X> 9 (3) X< 9. (2). 3. X > -- (4). 3. X < -- < E'A- 2~. 5 5 t.,l - 2 X ~,2.)( -\""" z. ~. ' ~ ..trz. ~. <= <;;"X. 4-~. '. ~. 8 The value in dollars, v(x), of a certain car after x years is represented L'f_. 81. by the equation v(x) = 25,000( )x. To the nearest dollar, how much more is the car worth after 2 years than after 3 years?))}}

8 ( O 86) 2589 (3) 15,901 V l 1-) : 2. 'S'1 COD . (2) 6510 (4) 18,490 \}(_ :::.. I ~J '+ ~ D 3. Z? ( 8b). ~-~ = /(/,<!90 /s;?o/~)2~ VI.!):= 2S: 000 o. \I :. I~, 90 ). v (3). 9 Which function has the same y-intercept as the graph below? y ;; ~3. ;~~. X \ \- Y=- 3 -+~ )(. 3. Y-- -'-r+. rJ1' 12- 6x )Z) 6y +X= 18. ~{,X- ~ -:). /~l y = 4.. (;/( 27 + 3y = 6x .y+3=6x '/ X. t i ..\'-,\Jr-q.)<. /-' 3 t : : f> X- 2 7 3. 'I -:_ ).."f. - ? . Algebra I ( common core )- Jan. '15 [4]. Use this space for 10 Fred is given a rectangular piece of paper. If the length of Fred's computations. piece of paper is represented by 2x - 6 and the width is represented by 3x - 5, then the paper has a total area represented by (1) 5x - 11 (3) lOx - 22. 6x 2 - 28x + 30 (4) 6x 2 - 6x - 11. (; x-b)(J x-s--).

9 T > < /6 X -~~X + 3 0. L - 6 '~> zex -r3o Z-- 11 The graph of a linear equation contains the points (3,11) and ( -2 1). Which point also lies on the graph? X y ~-- (1) (2,1) (3) (2,6) -z -----l (2) (2,4) (2,9) ~3.. ____. "0 s 1__ ,.. 7. ~ --r-==r(:-~. 12 How does the graph ofj(x) = 3(x - 2) 2 + 1 compare to the graph of g(x) = x2 ? J5! The graph ofj(x) i~an the graph of g(x), and its vertex is moved to the left 2 units and up 1 unit . The graph ofj(x) is narrower than the graph of g(x), and its vertex is moved to the right 2 units and up 1 unit. The graph ofj(x~arrower than the graph of g(x), and its vertex is moved to th~ units and up 1 unit. )#f' The graph ofj(x) is@an the graph of g(x), and its vertex is moved to the right 2 units and up 1 unit. 13 Connor wants to attend the town carnival.)

10 The price of admission to the carnival is $ , and each ride costs an additional 79 cents. If he can spend at most $ at the carnival, which inequality can be used to solve for r, the number of rides Connor can go on, and what is the maximum number of rides he can go on? ~ 79 + :::; ; 3 rides ~0. 79 + :::; ; 4 rides + :::; ; 14 rides ~ + 0. 79r :::; ; 15 rides Algebra I ( common core )- Jan. '15 [5] [OVER]. Use this space for 14 Corinne is planning a beach vacation in July and is analyzing the computations. daily high temperatures for her potential destination. She would like to choose a destination with a high medi~n temperature and a~. i!.!!::~tile range. She constructed box plots shown in the diagram belOW: i X()z_LBD. ~n Beach ~ores Whi~pering Palms ~~ P~tican Beach / (JD \:\ <- /( '~ I >1 I Ji.))