ALGEBRA 2/TRIGONOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION

ALGEBRA 2/TRIGONOMETRY Wednesday, August 12, 2015 Student Name: School Name:

12:30 to 3:30 p.m., only

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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 briefly, 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 above. A separate answer sheet for Part I has been provided to you. Follow the instructions from the proctor for completing the student information on your answer sheet. This examination has four parts, with a total of 39 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 necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. The 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. You may remove this sheet from this booklet. Any work done on this sheet of scrap graph paper will not be scored. 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 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 declaration. Notice ... A graphing calculator and a straightedge (ruler) must be available for you to use while taking this examination. DO NOT OPEN THIS EXAMINATION BOOKLET UNTIL THE SIGNAL IS GIVEN.

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Part I Answer all 27 questions in .this part. Each correct answer will receive 2 credits. 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. [54]

1 What are the zeros of the polynomial function graphed below?

y

@{-3, -1, 2} (2) {3, 1, -2}

(3) {4, -8} (4) {-6}

2 A study compared the number of years of education a person received and that person's average yearly salary. It was determined that the relationship between these two quantities was linear and the correlation coefficient was 0.91. Which conclusion can be made based on the findings of this study? ~ There was a weak relationship.

{JY

There was a strong relationship.

(3) There was no relationship. (4) There was an unpredictable relationship.

Algebra 2ffrigonometry-August '15

[2]

Use this space for computations.

1

Use this space for computations.

1

3 What is the value of 4x2 + x0 + x -4 when x = 16? (1) 7 _!_ 2

(3) 16k

(2) g_!_ 2

@11k

4 The expression

~8lx 2 y 5

~11,;

9{)6) 1A+(t~b if/) ~

4l11) +I+ f

is equivalent to 5

(3)

9xy 2

(4)

9xy 5

(3)

_2J3

1 4

2

(2) 3x 2 y5

5 The exact value of csc 120° is

Gf 2

3

(4) -2

(2) 2

6 Which statement about the equation 3x 2 ~

The product of the roots is - 12.

~ The product of the roots is

-4.

+ 9x

p~

(3) The sum of the roots is 3.

- 12 = 0 is true?

L -:; c,....} }.__ CG·

-.. .

).

J

lf

(4) The sum of the roots is -9.

7 A scholarship committee rewards the school's top math students. The amount of money each winner receives is inversely proportional to the number of scholarship recipients. If there are three winners, they each receive $400. If there are eight winners, how much money will each winner receive? )7 . ~

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(1) $1067 (2) $400 Algebra 2/frigonometry - August '15

~$240

F

Q.91$150

[3]

[OVER]

8 What is the value of tan

®1~

(3) 15 8

1~

(4) 17

(2)

r.

(Arc cos i~ )?

J-X

[12]

.

34 Solve algebraically for the exact values of x'

ll ~

=

~+

i;~) y)(.

.

.

/ /J x.,_ ., lf fX

1-

9x'--~~o

01 F!){lx/Jj

,,Q

\/,, J- ]:;_

A

Algebra 2/I'rigonometry - August '15

J

[13]

-

J

[OVER]

4

35 Simplify

:L (x - a

2 ).

a=I

x-J

x-Y

)J~

x ~tl

-------#' lf;._--~O

Algebra 2ffrigonometry - August '15

[14]

Part III Answer all 3 questions in this part. Each correct answer will receive 4 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. For all questions in this part,' a correct numerical answer with no work shown will receive only 1 credit. All answers should be written in pen, except for graphs and drawings, which should be done in pencil. · [12]

36 In a triangle, two sides that measure 8 centimeters and 11 centimeters form an angle that measures 82°. To the nearest tenth of a degree, determine the measure 6f the smallest angle in the triangle.

C1.

;7f f J:- +)] J-_ ?-fY)lJ!) lo~ oJ-i

I)-. 67 ~ l\

n¥)-,

x

Algebra2ffrigonometry-August '15 ·