The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION COURSE I. Tuesday, June 20, :15 to 4:15 p.m., only

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1 The Universit of the State of New York REGENTS HIGH SCHOOL EXAMINATION THREE-YEAR SEQUENCE FOR HIGH SCHOOL MATHEMATICS COURSE I Tuesda, June 0, 000 :5 to :5 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 our answer sheet. When ou have completed the eamination, ou must sign the statement printed at the end of the answer paper, 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. Your answer paper cannot be accepted if ou fail to sign this declaration. DO NOT OPEN THIS EXAMINATION BOOKLET UNTIL THE SIGNAL IS GIVEN.

2 Part I Answer 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 π or in radical form. [60] Allison purchased shirts and a number of pairs of slacks. Using these shirts and slacks, she can wear 0 different outfits consisting of a shirt and a pair of slacks. How man slacks did she bu? In the accompaning diagram, parallel lines and m are cut b transversal t at a 5 angle. Find the number of degrees in the measure of angle. t 5 The accompaning circle represents the 00 students at Central High School, and the shaded portion represents the freshman class. What is the total number of students in the freshman class? m 5 Solve for : 6 = The perimeter of a regular pentagon is 60. What is the length of one side of the pentagon? 7 The formula for changing Celsius (C) temperature to Fahrenheit (F) temperature is F =.8C +. What is the number of degrees in the value of C when F = 68? 8 In the accompaning diagram, AC is etended from C through D, m BCD = 0, and m B = 80. Find m BAC. B 80 0 A C D 9 The table below shows the distribution of bowling scores. In which interval does the median lie? In the accompaning diagram, ABC is similar to DEF, AC =, CB = 5, and DF = 9. Find FE. D 9 C 5 A F B E Interval Frequenc Solve this sstem of equations for : = 0 + = Math. Course I June 00 []

3 What is the -intercept of the line whose equation is = 7 + 5? The radius of a circle is represented b +, and the length of the diameter is centimeters. Find the value of, in centimeters. The hpotenuse of a right triangle is 6 centimeters and one leg is centimeters. Find the number of centimeters in the second leg. 9 Which epression is equivalent to ? () ( + 6)( + ) () ( + )( + 7) () ( + )( + ) () ( + 7) 0 In the accompaning diagram, the circle is divided into si equal parts. If the pointer is spun once, what is the probabilit that the pointer will land on a number divisible b? 0 9 Solve for the positive value of : = If is epressed as. 0 n, what is the value of n? 6 What is the area of ABC as shown in the accompaning diagram? C 6 5 A B If a base angle of an isosceles triangle measures 50, what is the number of degrees in the measure of the verte angle? () () 6 5 () () 0 The numbers in a distribution are represented b, +,, and 5. If =, then the mode of these numbers is () 6 () () () Which propert is illustrated b the equation ( + ) = +? () associative propert of addition () commutative propert of addition () distributive propert of multiplication over addition () transitive propert of equalit 6 Directions (8 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. 8 A different plant is placed on each of the four corners of a square patio. Which epression would be used to find the number of different was the four plants can be arranged? () P () P () P () P Nine students scored 75 or less on a mathematics test. If 75 is the 5th percentile, what is the number of students who took this test? () 6 () 6 () () 5 If the area of a rectangle is represented b 8 6 and the width is represented b, the length is represented b () () () 6 () 6 Math. Course I June. 00 [] [OVER]

4 5 The sum of 5 and is 5 () 8 7 () () 8 0 () 6 The epression 5( ) ( ) is equivalent to () () 6 () () 7 7 Which letter has horizontal but does not have vertical line smmetr? () B () O () W () N 8 Which graph illustrates the relationship +? ( ) ( ) ( ) ( ) The epression 50 is equivalent to () 8 () () () Triangle A B C is the image of ABC under a given transformation. If A B C is similar but not congruent to ABC, the transformation must be a () dilation () rotation () line reflection () translation A cube whose edge has a length of has the same volume as a rectangular bo whose length is 8 and whose width is. The height of the rectangular bo is () () () () What is the value of () 0? () () () () 6 5 Which transformation is shown in the accompaning diagram? Which statement is alwas true? () p ~p () p ~p () p ~p () p ~p 0 Which of these epressions is undefined when = 5? () 5 () 5 () 5 () 5 () reflection () rotation () translation () dilation Math. Course I June 00 []

5 Answers to the following questions are to be written on paper provided b the school. Part II Answer four questions from this part. Clearl indicate the necessar steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. Calculations that ma be obtained b mental arithmetic or the calculator do not need to be shown. [0] 6 a On the same set of coordinate aes, graph the lines of the following equations. () = [] () + = 6 [] () = [] b Write the coordinates of all the vertices of the triangle formed b the lines graphed in part a. [] 7 a On our answer paper, construct and complete a truth table for the statement (~p q) (p q). [9] b Based on the truth table completed in part a, is the statement (~p q) (p q) a tautolog? [] 8 Cedric and Zelda went shopping at Price Buster. Cedric bought jumbo rolls of aluminum foil and packages of AA batteries for a total cost of $. Zelda bought 5 identical jumbo rolls of aluminum foil and identical packages of AA batteries for a total cost of $5. Find the cost of roll of aluminum foil and find the cost of package of AA batteries. [Onl an algebraic solution will be accepted.] [0] 9 The measures of the angles of ABC are represented b + 5, 6, and + 8. a Find the measure of each angle of this triangle. [Onl an algebraic solution will be accepted.] [8] b Which tpe of triangle is ABC? [] 0 A bank contains 0 coins, consisting of nickels, dimes, and quarters. There are twice as man nickels as quarters and the remaining coins are dimes. If the total value of the coins is $.5, what is the number of each tpe of coin in the bank? [Show or eplain the procedure used to obtain our answer.] [0] The accompaning diagram shows two roads that lead from Town B to Town L and four roads that go from Town L to Town M. The numbers in parentheses show the distances between each of these towns. Town B Road 6 (6 miles) Road 9 (9 miles) a Draw a tree diagram or list the sample space showing all possible routes from Town B to Town M. [] b Bonnie traveled from Town B to Town M, passing through Town L. Find the probabilit that () both roads she chose are odd-numbered roads [] () the total distance in miles from Town B to Town M is a prime number [] () the distance from Town B to Town M is less than 9 miles [] In the accompaning diagram, right triangle ABC, with the right angle at B, is inscribed in circle O, AC is a diameter, AB = 6 centimeters, and BC = 8 centimeters. Find the area of the shaded region to the nearest tenth of a square centimeter. [0] C O Town L Road ( miles) A Road ( miles) Road 5 (5 miles) Road 7 (7 miles) B Town M Math. Course I June 00 [5]

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7 Tear Here Tear Here The Universit of the State of New York REGENTS HIGH SCHOOL EXAMINATION SEQUENTIAL MATH COURSE I Tuesda, June 0, 000 :5 to :5 p.m., onl ANSWER SHEET Part I Score Part II Score Total Score Rater s Initials: Pupil Se: Male Female Grade Teacher School Your answers to Part I should be recorded on this answer sheet. Part I Answer 0 questions from this part 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. Course I June 00 [7] Signature

8 Tear Here Tear Here Math. Course I June 00 [8]