ALGEBRA I (Common Core)

Transcription

1 ALGEBRA I (COMMON CORE) The University of the State of New Yk REGENTS HIGH SCHOOL EXAMINATION ALGEBRA I (Common Ce) Thursday, January 26, :15 to 4:15 p.m., only The possession use of any communications device is strictly prohibited when taking this examination. If you have use any communications device, no matter how briefly, your examination will be invalidated and no sce will be calculated f you. Print your name and the name of your school on the lines above. A separate answer sheet f Part I has been provided to you. Follow the instructions from the proct f completing the student infmation on your answer sheet. This examination has four parts, with a total of 3 7 questions. You must answer all questions in this examination. Recd 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 wk should be written in pen, except f graphs and drawings, which should be done in pencil. Clearly indicate the necessary steps, including appropriate fmula substitutions, diagrams, graphs, charts, etc. Utilize the infmation provided f each question to determine your answer. Note that diagrams are not necessarily drawn to scale. The fmulas that you may need to answer some questions in this examination are found at the end of the examination. This sheet is perfated so you may remove it from this booklet. Scrap paper is not permitted f any part of this examination, but you may use the blank spaces in this booklet as scrap paper. A perfated sheet of scrap graph paper is provided at the end of this booklet f any question f which graphing may be helpful but is not required. You may remove this sheet from this booklet. Any wk done on this sheet of scrap graph paper will not be sced. 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 answers pri to the examination and that you have neither given n 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 calculat and a straightedge (ruler) must be available f you to use while taking this examination. DO NOT OPEN THIS EXAMINATION BOOKLET UNTIL THE SIGNAL IS GIVEN. (3808 NOV\IV\108) I VC18381V

2 Part I Answer all 24 questions in this part. Each crect answer will receive 2 credits. No partial credit will he allowed. Utilize the infmation provided f each question to determine your answer. Note that diagrams are not necessarily drawn to scale. F each statement question, choose the wd expression that, of those given, best completes the statement answers the question. Recd your answers on your separate answer sheet. [ 48] I Which expression is equivalent to 16x 2-36? (1) 4(2x - 3)(2x - 3) (2) 4(2x + 3)(2x - 3) (3) (4x - 6)(4x - 6) (4) (4x + 6)(4x + 6) Use this space f computations. 2 What is the solution set of the equation (x - 2)(x - a) = O? (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 crelation coefficient of Which statement best summarizes this result? (1) There is a strong positive crelation between the variables. (2) There is a strong negative crelation between the variables. (3) There is a moderate positive crelation between the variables.. (4) There is a moderate negative crelation between the variables. 4 Boyle's Law involves the pressure and volume of gas in a container. It can be represented by the fmula P 1 V 1 = P 2 V 2. When the fmula is solved f P 2, the result is Algebra I (Common Ce) - Jan. '17 [2]

3 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. They were asked which of three different types of music they prefer on the radio: hip-hop, alternative, classic rock The results are summarized in the table below. Use this space f computations. Hip-Hop Alternative Classic Rock Middle School High School College 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? f(x) = x 2 + 7x - 8 (1) g(x) = x 2-7x - 8 (3) y y x x (2) (4) Algebra I (Common Ce) - Jan. '17 [3] [OVER]

4 7 Which expression is equivalent to 2(3g - 4) - (8g + 3)? (1) -2g - 1 (3) -2g - 7 (2) -2g - 5 (4) -2g - 11 Use this space f computations. 8 In 2014, the cost to mail a letter was 49 f 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) a 1 = 49; an = an_ ( 2) a 1 = O; an = 49an _ (3) al = 21; an = an ( 4) a 1 = O; an = 2lan _ A car leaves Albany, NY, and travels west toward Buffalo, NY. The equation D = t 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 fmula C(j) = ~ (f - 32) to convert degrees Fahrenheit, f, to degrees Celsius, C(f). 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 Ce) - Jan. '17 [4]

5 11 \Vhich scenario represents exponential grmvth? (1) A water tank is filled at a rate of 2 gallons/minute. (2) A vine grows 6 inches every week. ( 3) A species of fly 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. Use this space f computations. 12 What is the minimum value of the function y = Ix+ 31-2? (1) -2 (3) 3 (2) 2 (4) What type of relationship exists between the number of pages printed on a printer and the amount of ink used by that printer? ( 1) positive crelation, but not causal (2) positive crelation, and causal ( 3) negative crelation, but not causal ( 4) negative crelation, and causal 14 A computer application generates a sequence of musical notes using the functionf(n) = 6(16t, where n is the number of the note in the sequence and f(n) is the note frequency in hertz. Which function will generate the same note sequence asf(n)? (1) g(n) = 12(2) 4 n (3) p(n) = 12(4) 2 n (2) h(n) = 6(2) 4 n (4) k(n) = 6(8) 2 n Algebra I (Common Ce) - Jan. '17 [5] [OVER]

6 15 Which value of x is a solution to the equation 13-36x 2 = - 12? Use this space f computations. (1) ~~ (2) 5~ (4) Which point is a solution to the system below? 2y < -12x + 4 y < -6x + 4 (1)(1,~) (3) (- ~,5) (2) (0,6) (4) (-3,2) 17 When the function f(x) = x 2 is multiplied by the value a, where a > 1, the graph of the new function, g(x) = ax 2 ( 1) opens upward and is wider (2) opens upward and is narrower ( 3) opens downward and is wider ( 4) opens downward and is narrower 18 Andy has $310 in his account. Each week, w, he withdraws $30 f his expenses. Which expression could be used if he wanted to find out how much money he had left after 8 weeks? (1) 310-8w (3) 310w - 30 (2) (w - 1) (4) (w - 1) Algebra I (Common Ce) - Jan. '17 [6]

7 19 The daily cost of production in a facto:ry is calculated using c(x) = x, where x is the number of complete products manufactured. Which set of numbers best defines the domain of c(x)? (1) integers (2) positive real numbers (3) positive rational numbers (4) whole numbers Use this space f computations. 20 Noah conducted a survey on spts participation. He created the following two dot plots to represent the number of students participating, by age, in soccer and basketball. ' I I I I I I I > Soccer Players' Ages 'I I I I I I I > Basketball Players' Ages Which statement about the given data sets is crect? ( 1) The data f soccer players are skewed right. (2) The data f soccer players have less spread than the data f basketball players. ( 3) The data f basketball players have the same median as the data f soccer players. (4) The data f basketball players have a greater mean than the data f soccer players. Algebra I (Common Ce) - Jan. '17 [7] [OVER]

8 21 A graph of average resting heart rates is shown below. The average resting heart rate f adults is 72 beats per minute, but docts consider resting rates from beats per minute within nmal range. Use this space f computations. c. E 100 <n ta 80 (]) a Q)... Average Resting Heart Rate by Age y ) ' 120 i i I~ l "... "--.. "',... (20,7~) (50,7~) 60 co... cc ~ 40 co Q) :c 20 : Age (years) :- x Which statement about average resting heart rates is not suppted by the graph? (1) A 10-year-old has the same average resting heart rate as a 20-year-old. (2) A 20-year-old has the same average resting heart rate as a 30-year-old. (3) A 40-year-old may have the same average resting heart rate f ten years. (4) The average resting heart rate f teenagers steadily decreases. 22 The method of completing the square was used to solve the equation 2x 2-12x + 6 = 0. Which equation is a crect step when using this method?. (1) (x - 3) 2 = 6 (3) (x - 3) 2 = 3 (2) (x - 3) 2 = -6 (4) (x - 3) 2 = -3 Algebra I (Common Ce) - Jan. '17 [8]

9 23 Nancy wks f a company that offers two types of savings plans. Plan A is represented on the graph below. Use this space f computations C) 90 c 80 :; cu 70 en Plan A Weeks Plan B is represented by the function f(x) = x 2, where xis the number of weeks. Nancy wants to have the highest savings possible after a year. Nancy picks Plan B. Her decision is ( 1) crect, because Plan B is an exponential function and will increase at a faster rate (2) crect, because Plan Bis a quadratic function and will increase at a faster rate (3) increct, because Plan A will have a higher value after 1 year (4) increct, because Plan Bis a quadratic function and will increase at a slower rate 24 The 2014 winner of the Boston Marathon runs as many as 120 miles per week. During the last few weeks of his training f an event, his mileage can be modeled by M(w) = 120(.90)w- l' wherew represents the number of weeks since training began. Which statement is true about the model M ( w)? (1) The number of miles he runs will increase by 90% each week. (2) The number of miles he runs will be 10% of the previous week. ( 3) M ( w) represents the total mileage run in a given week. ( 4) w represents the number of weeks left until his marathon. Algebra I (Common Ce)- Jan. '17 [9] [OVER]

10 Part II Answer all 8 questions in this part. Each crect answer will receive 2 credits. Clearly indicate the necessary steps, including appropriate fmula substitutions, diagrams, graphs, charts, etc. Utilize the infmation provided f each question to determine your answer. Note that diagrams are not necessarily drawn to scale. F all questions in this part, a crect numerical answer with no wk shown will receive only I credit. All answers should be written in pen, except f graphs and drawings, which should be done in pencil. [ 16] 25 In attempting to solve the system of equations y = 3x - 2 and 6x - 2y = 4, John graphed the two equations on his graphing calculat. Because he saw only one line, John wrote that the answer to the system is the empty set. Is he crect? Explain your answer. Algebra I (Common Ce)- Jan. '17 [10]

11 26 A typical marathon is 26.2 miles. Allan averages 12 kilometers per hour when running in marathons. Determine how long it would take Allan to complete a marathon, to the nearest tenth of an hour. Justify your answer. Algebra I (Common Ce) - Jan. '17 [11] [OVER]

12 27 Solve the inequality below: y 2:: 2.2-2y Algebra I (Common Ce) - Jan. '17 [12]

13 28 Jakob is wking on his math homewk. He decides that the sum of the expression ~ + 6 -Y/ must be rational because it is a fraction. Is Jakob crect? Explain your reasoning. Algebra I (Common Ce) - Jan. '17 [13] [OVER]

14 29 Graph the inequality y > 2x - 5 on the set of axes below. State the codinates of a point in its solution. y Algebra I (Common Ce) - Jan. '17 [14]

15 30 Sandy programmed a website's checkout process with an equation to calculate the amount customers will be charged when they download songs. The website offers a discount. If one song is bought at the full price of $1.29, then each additional song is $.99. State an equation that represents the cost, C, when s songs are downloaded. Sandy figured she would be charged $52.77 f 52 songs. Is this the crect amount? Justify your answer. Algebra I (Common Ce) - Jan. '17 [15] [OVER]

16 31 A family is traveling from their home to a vacation rest hotel. The table below shows their distance from home as a function of time. Time (hrs) Distance (mi) Determine the average rate of change between hour 2 and hour 7, including units. Algebra I (Common Ce) - Jan. '17 [16]

17 32 Na says that the graph of a circle is a function because she can trace the whole graph without picking up her pencil. Mia says that a circle graph is not a function because multiple values of x map to the same y-value. Determine if either one is crect, and justify your answer completely. Algebra I (Common Ce) - Jan. '17 [17] [OVER]

18 Part III Answer all 4 questions in this part. Each crect answer will receive 4 credits. Clearly indicate the necessary steps, including appropriate fmula substitutions, diagrams, graphs, charts, etc. Utilize the infmation provided f each question to determine your answer. Note that diagrams are not necessarily drawn to scale. F all questions in this part, a crect numerical answer with no wk shown will receive only I credit. All answers should be written in pen, except f graphs and drawings, which should be done in pencil. [ 16 J 33 Graphf(x) = lxl and g(x) = -x on the grid below. Does f( - 2) = g( - 2)? Use your graph to explain why why not. Algebra I (Common Ce) - Jan. '17 [18]

19 34 Two friends went to a restaurant and dered one plain pizza and two sodas. Their bill totaled $ Later that day, five friends went to the same restaurant. They dered three plain pizzas and each person had one soda. Their bill totaled $ Write and solve a system of equations to determine the price of one plain pizza. [Only an algebraic solution can receive full credit. J Algebra I (Common Ce) - Jan. '17 [19] [OVER]

20 35 Tanya is making homemade greeting cards. The data table below represents the amount she spends in dollars,f(x), in terms of the number of cards she makes, x. x f(x) Write a linear function, j(x), that represents the data. Explain what the slope and y-intercept of j(x) mean in the given context. Algebra I (Common Ce) - Jan. '17 [20]

21 36 Alex launched a ball into the air. The height of the ball can be represented by the equation h = -8t t + 5, where his the height, in units, and tis the time, in seconds, after the ball was launched. Graph the equation from t = 0 tot= 5 seconds. Time (in seconds) State the codinates of the vertex and explain its meaning in the context of the problem. Algebra I (Common Ce)- Jan. '17 [21] [OVER]

22 Part IV Answer the question in this part. A crect answer will receive 6 credits. Clearly indicate the necessary steps, including appropriate fmula substitutions, diagrams, graphs, charts, etc. Utilize the infmation provided to determine your answer. Note that diagrams are not necessarily drawn to scale. A crect numerical answer with no wk shown will receive only 1 credit. All answers should be written in pen, except f graphs and drawings, which should be done in pencil. [6] 37 Ian is browing $1000 from his parents to buy a notebook computer. He plans to pay them back at the rate of $60 per month. Ken is browing $600 from his parents to purchase a snowboard. He plans to pay his parents back at the rate of $20 per month. Write an equation that can be used to determine after how many months the boys will owe the same amount. Determine algebraically and state in how many months the two boys will owe the same amount. State the amount they will owe at this time. Ian claims that he will have his loan paid off 6 months after he and Ken owe the same amount. Determine and state if Ian is crect. Explain your reasoning. Algebra I {Common Ce) - Jan. '17 [22]

23 FOR TEACHERS ONLY The University of the State of New Yk REGENTS HIGH SCHOOL EXAMINATION ALGEBRA I (Common Ce) Thursday, January 26, :15 to 4:15 p.m., only SCORING KEY AND RATING GUIDE Mechanics of Rating The following procedures are to be followed f scing student answer papers f the Regents Examination in Algebra I (Common Ce). Me detailed infmation about scing is provided in the publication Infmation Booklet f Scing the Regents Examination in Algebra I (Common Ce). Do not attempt to crect the student's wk by making insertions changes of any kind. In scing the constructed-response questions, use check marks to indicate student errs. Unless otherwise specified, mathematically crect variations in the answers will be allowed. Units need not be given when the wding of the questions allows such omissions. Each student's answer paper is to be sced by a minimum of three mathematics teachers. No one teacher is to sce me than approximately one-third of the constructedresponse questions on a student's paper. Teachers may not sce their own students' answer papers. On the student's separate answer sheet, f each question, recd the number of credits earned and the teacher's assigned rater/scer letter. Schools are not permitted to resce any of the open-ended questions on this exam after each question has been rated once, regardless of the final exam sce. Schools are required to ensure that the raw sces have been added crectly and that the resulting scale sce has been determined accurately. Raters should recd the student's sces f all questions and the total raw sce on the student's separate answer sheet. Then the student's total raw sce should be converted to a scale sce by using the conversion chart that will be posted on the Department's web site at: by Thursday, January 26, Because scale sces cresponding to raw sces in the conversion chart may change from one administration to another, it is crucial that, f each administration, the conversion chart provided f that administration be used to determine the student's final sce. The student's scale sce should be entered in the box provided on the student's separate answer sheet. The scale sce is the student's final examination sce.

24 If the student's responses f the multiple-choice questions are being hand sced pri to being scanned, the scer must he careful not to make any marks on the answer sheet except to recd the sces in th~ designated sce boxes. Marks elsewhere on the answer sheet will interfere with the accuracy of the scanning. Part I Allow a total of 48 credits, 2 credits f each of the following. (1) (9) (17) (2) (10) (18) (3) (11) (19) (4) (12) (20) (5) (13) (21) (6) :.. (14) (22) (7) (15) (23) (8) (16) (24) Updated infmation regarding the rating of this examination may be posted on the New Yk State Education Department's web site during the rating period. Check this web site at: and select the link "Scing Infmation" f any recently posted infmation regarding this examination. This site should be checked befe the rating process f this examination begins and several times throughout the Regents Examination period. The Department is providing sup:rlemental scing guidance, the "Model Response Set," f the Regents Examination in Algebra I (Common Ce). This guidance is recommended to be part of the scer training. Schools are encouraged to incpate the Model Response Sets into the scer training to use them as additional infmation during scing. While not reflective of all scenarios, the model responses selected f the Model Response Set illustrate how less common student res_ponses to constructed-response questions may be sced. The Model Response Set will. be available on the Department's web site at Algebra I (Common Ce) Rating Guide -Jan. '17 [2]

25 Part II F each question, use the specific criteria to award a maximum of 2 credits. Unless otherwise specified, mathematically crect alternative solutions should be awarded appropriate credit. (25) [2] No, and a crect explanation is written. [I] Appropriate wk is shown, but one computational err is made. [I] Appropriate wk is shown, but one conceptual err is made. [I] No, but an incomplete explanation is written. [O] No is stated, but the explanation is missing. [O] A zero response is completely increct, irrelevant, incoherent is a crect response that was obtained by an obviously increct procedure. (26) [2] 3.5, and a crect justification is given. [I] Appropriate wk is shown, but one computational rounding err is made. [I] Appropriate wk is shown, but one conceptual err is made. [I] 3.5, but no wk is shown. [O] A zero response is completely increct, irrelevant, incoherent is a crect response that was obtained by an obviously increct procedure. (27) [2] y 2::.25, and crect wk is shown. [I] Appropriate wk is shown, but one computational err is made. [I] Appropriate wk is shown, but one conceptual err is made. [I] y >.25, but no wk is shown. [ 0] A zero response is completely increct, irrelevant, incoherent is a crect response that was obtained by an obviously increct procedure. Algebra I (Common Ce) Rating Guide - Jan. '17 [ 4]

26 (28) [2] No, and a crect explanation is written. [I] Appropriate wk is shown, but one computational err is made. [I] Appropriate wk is shown, but one conceptual err is made. [I] No, but the explanation is incomplete. [I] N o an d \15. b h l are wntten, ut t e exp anation is m1ssmg mcrect. [O] No is stated, but the explanation is missing. [O] A zero response is completely increct, irrelevant, incoherent is a crect response that was obtained by an obviously increct procedure. (29) [2] The inequality is graphed crectly, and crect codinates are stated. [I] Appropriate wk is shown, but one graphing err is made. [I] Appropriate wk is shown, but one conceptual err is made. [I] The inequality is graphed crectly, but the codinates are missing increct. [I] The codinates of a point in the solution set are stated and checked, but no graph is drawn. [O] A zero response is completely increct, irrelevant, incoherent is a crect response that was obtained by an obviously increct procedure. Algebra I (Common Ce) Rating Guide - Jan. '17 [5]

27 (30) [2] C = (s - 1) C =.99s +.30, and a justification indicating she is not crect is given. [I] Appropriate wk is shown, but one computational err is made. [I] Appropriate wk is shown, but one conceptual err is made. [I] A crect equation is written, but no further crect wk is shown. [I] Appropriate wk is shown, but the equation is not written in terms of C ands. [I] A justification indicating she is not crect is given, but no further crect wk is shown. [O] No is stated, but no further crect wk is shown. [O] A zero response is completely increct, irrelevant, incoherent is a crect response that was obtained by an obviously increct procedure. (31) [2] 68 mph, and crect wk is shown. [I] Appropriate wk is shown, but one computational err is made. [I] Appropriate wk is shown, but one conceptual err is made. [I] Appropriate wk is shown to find 68, but the units are not labeled. [I] 68 mph, but no wk is shown. [O] A zero response is completely increct, irrelevant, incoherent is a crect response that was obtained by an obviously increct procedure. Algebra I (Common Ce) Rating Guide - Jan. '17 [ 6]

28 (32) [2] Neither, and a crect justification is given. [I] Appropriate wk is shown, but one conceptual err is made. [I] Neither, but an incomplete justification is given. [O] Neither is stated, but no further crect wk is shown. [O] A zero response is completely increct, irrelevant, incoherent is a crect response that was obtained by an obviously increct procedure. Algebra I (Common Ce) Rating Guide -Jan. '17 [7]

29 Part III F each question, use the specific criteria to award a maximum of 4 credits. Unless otherwise specified, mathematically crect alternative solutions should be awarded appropriate credit. (33) [4] Crect graphs are drawn, and a crect explanation, based on the graph, indicating they are equal is written. [3] Appropriate wk is shown, but one graphing err is made. [3] Both graphs are drawn crectly, but the explanation is missing increct. [2] Appropriate wk is shown, but two me graphing errs are made. [2] Appropriate wk is shown, but one conceptual err is made. [2] The parabola is graphed crectly, but no further crect wk is shown. [I] Appropriate wk is shown, but one conceptual err and one graphing err are made. [I] Yes is stated, and an appropriate algebraic justification is given, but no further crect wk is shown. [I] The absolute value function is graphed crectly, but no further crect wk is shown. [O] Yes is stated, but no further crect wk is shown. [O] A zero response is completely increct, irrelevant, incoherent is a crect response that was obtained by an obviously increct procedure. Algebra I (Common Ce) Rating Guide - Jan. '17 [8]

30 (34) [4] A crect system of equations is written, 12.05, and crect algebraic wk is shown. [3] Appropriate wk is shown, but one computational err is made. [3] Appropriate wk is shown to find 1.95, the price of a soda, but no further crect wk is shown. [2] Appropriate wk is shown, but two me computational errs are made. [2] Appropriate wk is shown, but one conceptual err is made. [2] A crect system of equations is written, but no further crect wk is shown. [2] 12.05, but a method other than algebraic is used. [I] Appropriate wk is shown, but one conceptual ~rr and one computational err are made. [I] One equation is written crectly, but no further crect wk is shown. [I] 12.05, but no wk is shown. [O] A zero response is completely increct, irrelevant, incoherent is a crect response that was obtained by an obviously increct procedure. Algebra I (Common Ce) Rating Guide - Jan. '17 [9]

31 (35) [4] f(x) =.75x + 4.5, and crect explanations are written. [3] Appropriate wk is shown, but one computational err is made. [3] Appropriate wk is shown, but one explanation is missing increct. [3] Appropriate wk is shown, but the equation is not written in terms of f(x). [3] Appropriate wk is shown, but the explanations are incomplete. I t! [2] Appropriate wk is shown, but two me computatio!lal errs are made. [2] Appropriate wk is shown, but one conceptual err is made. [2] A crect equation in terms of f(x) is written, but no further crect wk is shown. [2] Crect explanations are written, but the equation is missing increct. [I] Appropriate wk is shown, but one conceptual err and one computational err are made. [I] The expression.15x is written, but no further crect wk is shown. [O] A zero response is completely increct, irrelevant, incoherent is a crect response that was obtained by an obviously increct procedure. Algebra I (Common Ce) Rating Guide -Jan. '17 [10]

32 (36) [4] A crect graph is drawn, (2.5,55), and a crect explanation, which includes time and height, is written. [3] Appropriate wk is shown, but one graphing err is made. [3] Appropriate wk is shown, but the explanation is missing increct. [2] Appropriate wk is shown, but two me graphing errs are made. [2] Appropriate wk is shown, but one conceptual err is made. [2] A crect graph is drawn, but no further crect wk is shown. [2] (2.5,55), and a crect explanation is written, but no further crect wk is shown. [I] Appropriate wk is shown, but one conceptual err and one graphing err are made. [I] (2.5,55), but no further crect wk is shown. [I] A crect explanation is written, but no further crect wk is shown. [O] A zero response is completely increct, irrelevant, incoherent is a crect response that was obtained by an obviously increct procedure. Algebra I (Common Ce) R~ting Guide"."" Jan. '17 [11]

33 Part IV F this question, use the specific criteria to award a maximum of 6 credits. Unless otherwise specified, mathematically crect alternative solutions should be awarded appropriate credit. (37) [6] A crect equation is written and solved algebraically, 10, 400, and a crect explanation stating that Ian is not crect is given. [5] Appropriate wk is shown, but one computational err is made. [5] Appropriate wk is shown, but the explanation is incomplete. [4] Appropriate wk is shown, but two computational errs are made. [4] Appropriate wk is shown, but one conceptual err is made. [4] Appropriate wk is shown to find 10 and 400, but no further crect wk is shown. [4] Appropriate wk is shown, but the explanation is missing increct. [3] Appropriate wk is shown, but three me computational errs are made. [3] Appropriate wk is shown to find either , but no further crect wk is shown. [3] Appropriate wk is shown, but one conceptual err and one computational err.are made. [2] Appropriate wk is shown, but one conceptual err and two me computational errs are made. [2] Appropriate wk is shown, but two conceptual errs are made. [2] A crect equation is written, but no further crect wk is shown. Algebra I (Common Ce) Rating Guide - Jan. '17 [12]

34 [2] Appropriate wk is shown to determine that Ian is increct, and a crect explanation is given, but no further crect wk is shown. [I] Appropriate wk is shown, but two conceptual errs and one computational err are made. [I] Two crect individual equations are written f Ian and Ken, but no further crect wk is shown. [I] 10 and 400, but no wk is shown. [O] Ian is increct, but no wk is shown. [O] A zero response is completely increct, irrelevant, incoherent is a crect response that was obtained by an obviously increct procedure. Algebra I (Common Ce) Rating Guide -Jan. '17 [13]

35 Map to the Common Ce Learning Standards Algebra I (Common Ce) January 2017 Question Type Credits Cluster 1 A-SSE.A 2 A-SSE.B 3 S-10.C 4 A-CED.A 5 S-10.B 6 A-APR.B 7 A-APR.A 8 F-IF.A 9 A-SSE.A 10 F-IF.A 11 F-LE.A 12 F-IF.C 13 S-10.C 14 A-SSE.B 15 A-REl.B 16 A-REl.D 17 F-BF.B 18 F-BF.A 19 F-IF.B 20 S-10.A Algebra I (Common Ce) Rating Guide -Jan. '17 [14]

36 21 F-IF.B 22 A-REl.B 23 F-IF.C 24 F-LE.B Constructed Response Constructed Response Constructed Response Constructed Response Constructed Response Constructed Response Constructed Response Constructed Response Constructed Response Constructed Response Constructed Response Constructed Response Constructed Response 2 A-REl.C 2 N-Q.A 2 A-REl.B 2 N-RN.B 2 A-REl.D 2 A-CED.A 2 F-IF.B 2 F-IF.A 4 A-REl.D 4 A-CED.A 4 A-REl.D 4 F-IF.B 6 A-CED.A Algebra I (Common Ce) Bating Guide - Jan. '17 [ 15]

37 The State Education Department / The University of the State of New Yk Regents Examination in Algebra I (Common Ce) January 2017 Chart f Converting Total Test Raw Sces to Final Exam Sces (Scale Sces) (Use f the January 2017 exam only.) Raw Sce Scale Sce Perfmance Level Raw Sce Scale Sce Perfmance Level Raw Sce Scale Sce Perfmance Level To determine the student s final examination sce (scale sce), find the student s total test raw sce in the column labeled Raw Sce and then locate the scale sce that cresponds to that raw sce. The scale sce is the student s final examination sce. Enter this sce in the space labeled Scale Sce on the student s answer sheet. Schools are not permitted to resce any of the open-ended questions on this exam after each question has been rated once, regardless of the final exam sce. Schools are required to ensure that the raw sces have been added crectly and that the resulting scale sce has been determined accurately. Because scale sces cresponding to raw sces in the conversion chart change from one administration to another, it is crucial that f each administration the conversion chart provided f that administration be used to determine the student s final sce. The chart above is usable only f this administration of the Regents Examination in Algebra I (Common Ce). Algebra I (Common Ce) - Jan. '17 1 of 1