The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION INTEGRATED ALGEBRA. Student Name:

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2 INTEGRATED ALGEBRA The Universit of the State of New York REGENTS HIGH SCHOOL EXAMINATION INTEGRATED ALGEBRA Thursda, Januar 8, 00 :5 to 4:5 p.m., onl Student Name: Notice School Name: Print our name and the name of our school on the lines above. Then turn to the last page of this booklet, which is the answer sheet for Part I. 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. This eamination has four parts, with a total of 39 questions. You must answer all questions in this eamination. Write our answers to the Part I multiple-choice questions on the separate answer sheet. Write our answers to the questions in Parts II, III, and IV directl in this booklet. All work should be written in pen, ecept graphs and drawings, which should be done in pencil. Clearl indicate the necessar steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. The formulas that ou ma need to answer some questions in this eamination are found at the end of the eamination. This sheet is perforated so ou ma remove it from this booklet. Scrap paper is not permitted for an part of this eamination, but ou ma 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 an question for which graphing ma be helpful but is not required. You ma remove this sheet from this booklet. An work done on this sheet of scrap graph paper will not be scored. 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. Your answer sheet cannot be accepted if ou fail to sign this declaration. A graphing calculator and a straightedge (ruler) must be available for ou to use while taking this eamination. The use of an communications device is strictl prohibited when taking this eamination. If ou use an communications device, no matter how briefl, our eamination will be invalidated and no score will be calculated for ou. DO NOT OPEN THIS EXAMINATION BOOKLET UNTIL THE SIGNAL IS GIVEN. INTEGRATED ALGEBRA

3 Part I Answer all 30 questions in this part. Each correct answer will receive credits. No partial credit will be allowed. For each question, write on the separate answer sheet the numeral preceding the word or epression that best completes the statement or answers the question. [60] The bo-and-whisker plot below represents the math test scores of 0 students What percentage of the test scores are less than 7? () 5 75 () A bag contains eight green marbles, five white marbles, and two red marbles. What is the probabilit of drawing a red marble from the bag? () 5 () Julia went to the movies and bought one jumbo popcorn and two chocolate chip cookies for $5.00. Marvin went to the same movie and bought one jumbo popcorn and four chocolate chip cookies for $6.00. How much does one chocolate chip cookie cost? () $0.50 $.00 () $0.75 $.00 Integrated Algebra Januar 0 []

4 4 Given: Q = {0,, 4, 6} W= {0,,, 3} Z = {,, 3, 4} What is the intersection of sets Q, W, and Z? () {} {,, 3} () {0, } {0,,, 3, 4, 6} 5 Roger is having a picnic for 78 guests. He plans to serve each guest at least one hot dog. If each package, p, contains eight hot dogs, which inequalit could be used to determine how man packages of hot dogs Roger will need to bu? () p p 78 () 8p p 8 6 In a science fiction novel, the main character found a msterious rock that decreased in size each da. The table below shows the part of the rock that remained at noon on successive das. Da 3 4 Fractional Part of the Rock Remaining 4 8 Which fractional part of the rock will remain at noon on da 7? () 8 () 64 4 Integrated Algebra Januar 0 [3] [OVER]

5 7 In the diagram below, what is the slope of the line passing through points A and B? B A () () Integrated Algebra Januar 0 [4]

6 8 Which equation shows a correct trigonometric ratio for angle A in the right triangle below? B 8 cm 7 cm C 5 cm A () sin A = 5 7 () tan A = 8 7 cos A = 5 7 tan A = Debbie solved the linear equation 3( + 4) = 6 as follows: She made an error between lines () and 3 and 4 () and 3 4 and 5 Integrated Algebra Januar 0 [5] [OVER]

7 0 The value of the epression a b when a = 7 and b = 3 is () 0 4 () 0 4 Which epression represents in simplest form? () () Which ordered pair is a solution of the sstem of equations shown in the graph below? () ( 3, ) (0, ) () ( 3, 5) (0, 4) Integrated Algebra Januar 0 [6]

8 3 Which equation represents the line that passes through the points ( 3,7) and (3,3)? () = + 3 () = = = Which data table represents univariate data? Side Length Area of of a Square Square () Age Group Frequenc Hours Worked Pa 0 $60 5 $00 30 $40 35 $80 () Number of People Fingers Integrated Algebra Januar 0 [7] [OVER]

9 5 What is the equation of the ais of smmetr of the parabola shown in the diagram below? () = 0.5 = 4.5 () = = 3 6 The members of the senior class are planning a dance. The use the equation r = pn to determine the total receipts. What is n epressed in terms of r and p? () n = r + p n = () n = r p n = p r r p Integrated Algebra Januar 0 [8]

10 7 The graph of the equation = is shown in the diagram below. Which diagram could represent a graph of the equation = a when < a < 0? () () Integrated Algebra Januar 0 [9] [OVER]

11 8 Which relation represents a function? () {(0,3), (,4), (0,6)} () {( 7,5), ( 7,), ( 0,3), ( 4,3)} {(,0), (6,), (6, )} {( 6,5), ( 3,), (,), (6,5)} 9 Which scatter plot shows the relationship between and if represents a student score on a test and represents the number of incorrect answers a student received on the same test? Number of Incorrect Answers Number of Incorrect Answers Test Scores Test Scores () Number of Incorrect Answers Number of Incorrect Answers Test Scores Test Scores () Integrated Algebra Januar 0 [0]

12 0 Which epression is equivalent to ? () 9 3 () Which point is on the line 4 = 0? () (, ) (, ) () (,) (,) If Ann correctl factors an epression that is the difference of two perfect squares, her factors could be () ( + )( ) ( 4)( 4) () ( + 3)( 3) ( 5)( 5) 3 Which ordered pair is in the solution set of the following sstem of linear inequalities? < + () (0,3) (,0) () (,0) (, 4) Integrated Algebra Januar 0 [] [OVER]

13 4 The epression written in simplest radical form is () 6 5 () What is the sum of 3 and? () 34 ( ) () 3 4 ( ) 4 6 Which equation represents a line parallel to the graph of 4 = 6? () = 5 = + 6 () = + 4 = An eample of an algebraic epression is () + 3 = 3 4 = 4 7 () ( + )( 7) = Integrated Algebra Januar 0 []

14 8 What is the solution set of + () {, 3} {, 6} () { 3, } { 6, } = 3? 9 How man square inches of wrapping paper are needed to entirel cover a bo that is inches b 3 inches b 4 inches? () 8 6 () Which situation describes a correlation that is not a causal relationship? () the length of the edge of a cube and the volume of the cube () the distance traveled and the time spent driving the age of a child and the number of siblings the child has the number of classes taught in a school and the number of teachers emploed Integrated Algebra Januar 0 [3] [OVER]