The University of the State of New York REGENTS HIGH ...

1 ALGEBRA I ( common CORE) ALGEBRA I ( common CORE) The University of the State of New YorkREGENTS high SCHOOL EXAMINATION ALGEBRA I ( common Core)Thursday, January 26, 2017 1:15 to 4:15 , onlyStudent Name _____School Name _____ 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 briefl y, 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 separate answer sheet for Part I has been provided to you.

2 Follow the instructions from the proctor for completing the student information on your answer 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 for graphs and drawings, which should be done in pencil. Clearly indicate the neces-sary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc.

3 Utilize the information provided for each question to determine your answer. Note that diagrams are not necessarily drawn to formulas that 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. A perforated 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.

4 You may remove this 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 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 ..A graphing calculator and a straightedge (ruler) must be available for you to use while taking this NOT OPEN THIS EXAMINATION BOOKLET UNTIL THE SIGNAL IS GIVEN.

5 Algebra I ( common Core) Jan. 17 [2]Use this space for computations. 1 Which expression is equivalent to 16x2 36?(1) 4(2x 3)(2x 3) (3) (4x 6)(4x 6)(2) 4(2x 3)(2x 3) (4) (4x 6)(4x 6) 2 What is the solution set of the equation (x 2)(x a) 0?(1) 2 and a (3) 2 and a(2) 2 and a (4) 2 and a 3 Analysis of data from a statistical study shows a linear relationship in the data with a correlation coeffi cient of Which statement best summarizes this result?(1) There is a strong positive correlation between the variables.(2) There is a strong negative correlation between the variables.

6 (3) There is a moderate positive correlation between the variables.(4) There is a moderate negative correlation between the variables. 4 Boyle s Law involves the pressure and volume of gas in a container. It can be represented by the formula P1V1 P2V2. When the formula is solved for P2, the result is(1) P1V1V2 (3) P1V1 _____ V2(2) V2 _____ P1V1 (4) P1V2 _____ V1 Part IAnswer all 24 questions in this part.

7 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 your separate answer sheet. [48] Algebra I ( common Core) Jan. 17 [3] [OVER]Use this space for computations. 5 A radio station did a survey to determine what kind of music to play by taking a sample of middle school, high school, and college students.

8 They were asked which of three different types of music they prefer on the radio: hip-hop, alternative, or classic rock. The results are summarized in the table Classic RockMiddle School28184 high School22226 College162014 What percentage of college students prefer classic rock?(1) 14% (3) 33%(2) 28% (4) 58% 6 Which function has zeros of 4 and 2?(2)xy(4)xyg(x) x2 7x 8f(x) x2 7x 8(3)(1) Algebra I ( common Core) Jan. 17 [4]Use this space for computations.

9 7 Which expression is equivalent to 2(3g 4) (8g 3)?(1) 2g 1 (3) 2g 7(2) 2g 5 (4) 2g 11 8 In 2014, the cost to mail a letter was 49 for up to one ounce. Every additional ounce cost 21 . Which recursive function could be used to determine the cost of a 3-ounce letter, in cents?(1) a1 49; an an 1 21(2) a1 0; an 49an 1 21 (3) a1 21; an an 1 49(4) a1 0; an 21an 1 49 9 A car leaves Albany, NY, and travels west toward Buffalo, NY. The equation D 280 59t can be used to represent the distance, D, from Buffalo after t hours. In this equation, the 59 represents the(1) car s distance from Albany(2) speed of the car(3) distance between Buffalo and Albany(4) number of hours driving 10 Faith wants to use the formula C(f) 5__9 (f 32) to convert degrees Fahrenheit, f, to degrees Celsius, C(f).

10 If Faith calculated C(68), what would her result be?(1) 20 Celsius (3) 154 Celsius(2) 20 Fahrenheit (4) 154 Fahrenheit Algebra I ( common Core) Jan. 17 [5] [OVER]Use this space for computations. 11 Which scenario represents exponential growth?(1) A water tank is fi lled at a rate of 2 gallons/minute.(2) A vine grows 6 inches every week.(3) A species of fl y doubles its population every month during the summer.(4) A car increases its distance from a garage as it travels at a constant speed of 25 miles per hour.