The Universit of the State of New York REGENTS HIGH SHOOL EXMINTION THREE-YER SEQUENE FOR HIGH SHOOL MTHEMTIS OURSE I Tuesda, Januar, 00 1:15 to 4:15 p.m., onl Notice... Scientific calculators must be available to all students taking this eamination. The last page of the booklet is the answer sheet. Fold the last page along the perforations and, slowl and carefull, tear off the answer sheet. Then fill in the heading of the answer sheet. When ou have completed the eamination, ou must sign the statement printed at the end of the answer sheet, indicating that ou had no unlawful knowledge of the questions or answers prior to the eamination and that ou have neither given nor received assistance in answering an of the questions during the eamination. The answer sheet cannot be accepted if ou fail to sign this declaration. DO NOT OPEN THIS EXMINTION OOKLET UNTIL THE SIGNL IS GIVEN.
Part I nswer 0 questions from this part. Each correct answer will receive credits. No partial credit will be allowed. Write our answers in the spaces provided on the separate answer sheet. Where applicable, answers ma be left in terms of p or in radical form. [60] 1 Solve for n: 5n 1 = n + 5 ase talked to everone in his apartment building to find out how man hours of television each person watched each da. The results are shown in the histogram below. Using the histogram, determine the total number of people in ase s building. Number of People Hours of Television Watched Dail 10 9 8 6 5 4 1 0 0 5 6 8 9 11 Number of Hours If t varies directl as s, and s = 15 when t = 1, find s when t = 4. 4 In the accompaning diagram, parallel lines EF and GH are cut b transversal LM at N and P, respectivel. If m LNF = 6, find m NPG. E G M P 5 Epress + 10 5 as a single fraction in simplest form. N Math. ourse I Jan. 0 [] L F H 6 Shannon s pencil bo contains four pens, two markers, and five pencils. Find the probabilit that an item chosen at random is a pen or a marker. In the accompaning diagram, has coordinates (,4), (,1), and (6,1). Find the area of. 8 Solve for : 0.5 + 0.5 = 11.5 9 Solve for in terms of c and d: d = c 10 Food and drink choices in a cafeteria include three different sandwiches, two different drinks, and five different desserts. What is the total number of different meals consisting of one sandwich, one drink, and one dessert that can be ordered? 11 soccer team won nine games and lost three games. What percent of the total games plaed did the team win? 1 For what value of is the epression undefined? 1 Find the value of 4ab if a = and b =. + 8
Directions (14 5): For each question chosen, write on the separate answer sheet the numeral preceding the word or epression that best completes the statement or answers the question. 14 If a number is selected at random from the set {,, 1,0,1,,}, what is the probabilit that the number is odd? (1) () () (4) 1ac 15 Epressed in simplest form, 4ac is equivalent to (1) 8a () a c () a (4) a c 16 What is the probabilit of a team losing a game if the probabilit of the team winning a game is 0.5? (1) 1 () 1.65 () 0 (4) 0.65 1 Which ordered pair is the solution set for the sstem of equations below? + = 18 = 6 (1) (4,10) () (8,) () (4, 10) (4) (6,1) 18 If n + 6 represents a positive odd integer, the net larger positive odd integer is represented b (1) n + 4 () (n + 6) () n + 8 (4) n + 19 rectangle is 4 inches wide and 9 inches long. What is the length of a diagonal of this rectangle, to the nearest tenth of an inch? (1) 9.0 () 9.8 () 9.9 (4) 8.1 0 Which epression represents an irrational number? 1 (1) () 16 4 () 0 (4) 4 5 1 What is the value of in the inequalit 14 +? (1) 4 () 4 () 4 (4) 4 In the accompaning diagram of, D is an eterior angle formed b etending to D, m = + 0, m =, and m D = 10. What is the value of? (1) 0 () 60 () 0 (4) 90 ( + 0) 10 Which trinomial is equivalent to ( 1)( + 4)? (1) + 11 4 () 11 + 4 () + 1 4 (4) + 11 + 4 4 Which equation represents a line with a slope of and a -intercept of 1? (1) = () = () = + 1 (4) = + 1 5 The accompaning frequenc table shows data collected b the weather bureau for the dail high temperatures in Januar in uffalo. Interval Frequenc (temperature) 0 9 1 0 9 6 10 19 5 0 9 Which interval contains the median temperature? (1) 0 9 () 0 9 () 10 19 (4) 0 9 D Math. ourse I Jan. 0 [] [OVER]
6 The multiplicative inverse of is (1) () () (4) What is the inverse of the statement If it is spring, then flowers bloom? (1) If it is not spring, then flowers do not bloom. () If it is not spring, then flowers bloom. () If flowers do not bloom, then it is not spring. (4) If flowers bloom, then it is spring. 8 What is the volume of a cube whose edge is? (1) 6 () 1 () 9 (4) 9 Which graph shows a reflection of in the -ais? ( 1 ) ( ) ( ) ( 4 ) 1 0 If the length of a rectangle is represented b 4n + and the width is represented b n + 1, which algebraic epression can be used to represent the perimeter of the rectangle? (1) 14n + 6 () 0n () n + (4) 1n + 10n + 1 The factors of n 6n are (1) n and 6n () (n 1) and (n ) () n and (n ) (4) (n 1) and (1 n) Quadrilateral MTH is a rhombus. If m M =, what is m T? (1) 88 () () 108 (4) 18 If the area of circle O is 100p, the length of the radius of the circle is (1) p () 50 () 10 (4) 100 4 Which statement should be the heading for the last column in the table below? p q? T T F T F F F T F F F T (1) ~p Ÿ ~q () ~p ~q () p Æ q (4) ~p q 5 Which letter has point smmetr but not line smmetr? (1) () X () I (4) Z Math. ourse I Jan. 0 [4]
nswers to the following questions are to be written on paper provided b the school. Part II nswer four questions from this part. learl indicate the necessar steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. alculations that ma be obtained b mental arithmetic or the calculator do not need to be shown. [40] 6 Solve the following sstem of equations graphicall and check: = 6 + = 1 [8,] The freshman class at oomtown High School raised $90 from the sale of tickets to the spring dance. Tickets were $.50 if purchased in advance and $5.00 if purchased at the door. If 5 tickets were sold, what is the total number of tickets sold at the door? [Show or eplain the procedure used to obtain our answer.] [10] 8 Solve the following sstem of equations algebraicall and check: = + 4 [8,] = 6 9 Find three positive consecutive integers such that the product of the first and second is more than 9 times the third. [Onl an algebraic solution will be accepted.] [4,6] 40 The width of a rectangle is less than its length. If the length is multiplied b and the width is increased b 4, the perimeter of the new rectangle is 50. Find the dimensions of the new rectangle. [Onl an algebraic solution will be accepted.] [6,4] 41 The frequenc histogram below shows the weights, in pounds, of the students in a sith grade class. Frequenc 10 8 6 4 0 Weights of Students 6 69 0 5 6 8 9 81 8 84 85 8 Weight Interval (pounds) a ccording to the frequenc histogram, in which interval does the median fall? [] b What is the probabilit that the weight of a student chosen at random will be greater than 5 pounds? [] c On our answer paper, cop and complete the cumulative frequenc table below. [] Weight Interval umulative (pounds) Frequenc 6 69 6 6 5 6 8 6 81 6 84 6 8 d Using the table completed in part c, construct a cumulative frequenc histogram. [4] GO RIGHT ON TO THE NEXT PGE. Math. ourse I Jan. 0 [5] [OVER]
4 On our answer paper, cop and complete the truth table for the statement ~(p q) (~p Ÿ ~q). [10] p q p q ~(p q) ~p ~q ~p Ÿ ~q ~(p q) (~p Ÿ ~q) Math. ourse I Jan. 0 [6]
Tear Here Tear Here The Universit of the State of New York REGENTS HIGH SHOOL EXMINTION SEQUENTIL MTH OURSE I Tuesda, Januar, 00 1:15 to 4:15 p.m., onl NSWER SHEET Part I Score........... Part II Score........... Total Score........... Rater s Initials:............. Student............................................ Se: Male Female Grade.......... Teacher............................................ School.................................. Your answers to Part I should be recorded on this answer sheet. Part I nswer 0 questions from this part. 1................... 11.................. 1................... 1..................................... 1.......................................................................... 1....................................................... 4................... 14.................. 4................... 4.................. 5................... 15.................. 5................... 5.................. 6................... 16.................. 6...................................... 1..................................... 8................... 18.................. 8................... 9................... 19.................. 9................... 10................... 0.................. 0................... Your answers for Part II should be placed on paper provided b the school. The declaration below should be signed when ou have completed the eamination. I do hereb affirm, at the close of this eamination, that I had no unlawful knowledge of the questions or answers prior to the eamination and that I have neither given nor received assistance in answering an of the questions during the eamination. Math. ourse I Jan. 0 [] Signature
Tear Here Tear Here Math. ourse I Jan. 0 [8]