REGENTS HIGH SCHOOL EXAMINATION ALGEBRA II

1 The University of the State of New YorkREGENTS HIGH SCHOOL EXAMINATIONALGEBRAIIW ednesday,January 24, 2018 1:15 to 4:15 , onlyStudent Name:_____School Name:_____DO NOT OPEN THIS EXAMINATION BOOKLET UNTIL THE SIGNAL IS graphing calculator and a straightedge (ruler) must be available for you to use whiletaking this IIThe possession or use of any communications device is strictly prohibited when takingthis 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 your name and the name of your SCHOOL on the lines separate answer sheet for Part Ihas been provided to you.

2 Follow the instructions from theproctor for completing the student information on your answer EXAMINATION has four parts, with a total of 37 questions. You must answer all questions in thisexamination. Record your answers to the Part I multiple-choice questions on the separate answersheet. Write your answers to the questions in Parts II, III,and IVdirectly in this booklet. All workshould be written in pen, except graphs and drawings, which should be done in pencil. Clearly indicate the necessarysteps, including appropriate formula substitutions, diagrams, graphs, charts,etc.

3 Utilize the information provided for each question to determine your answer. Note that diagramsare not necessarily drawn to formulas that you may need to answer some questions in this EXAMINATION are found at theend 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 spacesin this booklet as scrap paper. A perforated sheet of scrap graph paper is provided at the end of thisbooklet for any question for which graphing maybe helpful but is not required.

4 You may removethis sheet from this booklet. Any work done on this sheet of scrap graph paper will not be you have completed the EXAMINATION , you must sign the statement printed at the end ofthe 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 ofthe questions during the EXAMINATION . Your answer sheet cannot be accepted if you fail to sign II Jan. 18[2]Part IAnswer all 24 questions in this part.

5 Each correct answer will receive 2 credits. No partialcredit will be allowed. Utilize the information provided for each question to determine youranswer. 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 answersthe question. Record your answers on your separate answer sheet.[48]Use this space operator of the local mall wants to find out how many of themall s employees make purchases in the food court when they areworking.

6 She hopes to use these data to increase the rent and attractnew food vendors. In total, there are 1023 employees who work atthe mall. The best method to obtain a random sample of theemployees would be to survey(1) all 170 employees at each of the larger stores(2) 50% of the 90 employees of the food court(3) every employee(4) every 30th employee entering each mall entrance for one week2 What is the solution set for xin the equation below? x 1 1 x(1) {1}(3) { 1,0}(2) {0}(4) {0,1}3 For the system shown below, what is the value of z?

7 Y 2x 143x 4z 23x y 16(1) 5(3) 6(2) 2(4) 4 ALGEBRA II Jan. 18[3][OVER]4 The hours of daylight, y, in Utica in days, x, from January 1, 2013can be modeled by the equation y sin( ) many hours of daylight, to the nearest tenth, does this modelpredict for February 14, 2013?(1) (3) (2) (4) certain pain reliever is taken in 220 mg dosages and has a half-life of 12 hours. The functionA 220(1__2)t___12can be used to model thissituation, where Ais the amount of pain reliever in milligramsremaining in the body after to this function, which statement is true?

8 (1) Every hour, the amount of pain reliever remaining is cut in half.(2) In 12 hours, there is no pain reliever remaining in the body.(3) In 24 hours, there is no pain reliever remaining in the body.(4) In 12 hours, 110 mg of pain reliever is expression (x a)(x b) can notbe written as(1)a(x b) x(x b)(3)x2 (a b)x ab(2)x2 abx ab(4)x(x a) b(x a)7 There are 440 students at Thomas Paine High SCHOOL enrolled History. On the April report card, the students grades areapproximately normally distributed with a mean of 79 and a standarddeviation of 7.

9 Students who earn a grade less than or equal to attend summer SCHOOL . The number of students who mustattend summer SCHOOL for History is closest to(1) 3(3) 10(2) 5(4) 22 Use this space II Jan. 18[4]8 For a given time, x, in seconds, an electric current, y, can be represented by y (1 .10x). Which equation is notequivalent?(1)y ( .10x)(2)y (( ) .05x)(3)y ( )(4)y ( 2)( )9 What is the quotient when 10x3 3x2 7x 3 is divided by 2x 1?(1) 5x2 x 3(3)5x2 x 3(2) 5x2 x 3(4)5x2 x 310 Judith puts $5000 into an investment account with interestcompounded continuously.

10 Which approximate annual rate isneeded for the account to grow to $9110 after 30 years? (1) 2%(3) (2) (4) n a5and m a, where a 0, an expression forn__mcould be(1)a5__2(3)3 a2(2)a4(4) a3 Use this space II Jan. 18[5][OVER]12 The solutions to x 3 4_____x 1 5 are(1)3__2 17____2(3)3__2 33____2(2)3__2 17____2 i(4)3__2 33____2 i13If aebt c, where a, b, and care positive, then tequals(1) ln(c___ab)(3)ln(c__a)_____b(2) ln(cb___a)(4)ln(c__a)_____lnb14 For which values of x, rounded to the nearest hundredth, will|x2 9| 3 log3x?