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Regents June 2013 Exam

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Part I
    Answer all 30 questions in this part. Each correct answer will receive 2 credits. Record your
answers on your separate answer sheet. [60]

1.
Answer: 1

2.
2 Gabriella has 20 quarters, 15 dimes, 7 nickels, and 8 pennies in a jar.
  After taking 6 quarters out of the jar, what will be the probability of
  Gabriella randomly selecting a quarter from the coins left in the jar?

Answer: 1

3.
3 Based on the line of best fit drawn below, which value could be
  expected for the data in June 2015?
(1) 230   (3) 480
(2) 310   (4) 540
Answer: 3


4.
Answer: 3

5.
(1) 44    (3) 640
(2) 176   (4) 704
Answer: 4

6.
6 The roots of a quadratic equation can be found using the graph
  below.

Answer: 3

7.
Answer: 1

8.
8 Which set of data describes a situation that would be classified as
  qualitative?
  (1) the colors of the birds at the city zoo
  (2) the shoe size of the zookeepers at the city zoo
  (3) the heights of the giraffes at the city zoo
  (4) the weights of the monkeys at the city zoo
Answer: 1

9.
(1) 50    (3) 740
(2) 102   (4) 750
Answer: 3

10.
Answer: 1


11.
Answer: 2

12.
Answer: 2

13.
13 Which table shows bivariate data?

Answer: 3

14.
14 The box-and-whisker plot below represents the results of test scores
   in a math class.
What do the scores 65, 85, and 100 represent?

Answer: 2

15.
Answer: 1

16.
Answer: 1

17.
Answer: 2

18.
18 Which type of function is graphed below?
(1) linear      (3) exponential
(2) quadratic   (4) absolute value
Answer: 3

19.
Answer: 4

20.
20 The diagram below shows the graph of which inequality?

Answer: 4


21.
21 Carol plans to sell twice as many magazine subscriptions as Jennifer.
   If Carol and Jennifer need to sell at least 90 subscriptions in all, which
   inequality could be used to determine how many subscriptions, x,
   Jennifer needs to sell?

Answer: 4

22.
Answer: 1

23.
23 Which expression represents the number of hours in w weeks and
   d days?

Answer: 3

24.
24 Given:

Answer: 3

25.
25 Which equation could be used to find the measure of angle D in the
   right triangle shown in the diagram below?

Answer: 4

26.
Answer: 2

27.
27 Which equation represents a line that is parallel to the y-axis and
   passes through the point (4,3)?

Answer: 2

28.
28 There are 18 students in a class. Each day, the teacher randomly
   selects three students to assist in a game: a leader, a recorder, and a
   timekeeper. In how many possible ways can the jobs be assigned?
   (1) 306                          (3) 4896
   (2) 816                          (4) 5832
Answer: 3

29.
Answer: 3

30.
30 How many solutions are there for the following system of equations?
(1) 1   (3) 3
(2) 2   (4) 0
Answer: 1


31.
                                            Part II
    Answer all 3 questions in this part. Each correct answer will receive 2 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. [6]

Answer: MODEL ANSWER GIVEN BELOW


32.
32 Oatmeal is packaged in a cylindrical container, as shown in the diagram below.
The diameter of the container is 13 centimeters and its height is 24 centimeters. Determine, in
terms of π, the volume of the cylinder, in cubic centimeters.
Answer: MODEL ANSWER GIVEN BELOW


33.
33 The distance from Earth to Mars is 136,000,000 miles. A spaceship travels at 31,000 miles per
   hour. Determine, to the nearest day, how long it will take the spaceship to reach Mars.
Answer: MODEL ANSWER GIVEN BELOW


34.
                                           Part III
    Answer all 3 questions in this part. Each correct answer will receive 3 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. [9]
34 The menu for the high school cafeteria is shown below.
Determine the number of possible meals consisting of a main course, a vegetable, a dessert, and
a beverage that can be selected from the menu.
Answer: MODEL ANSWER GIVEN BELOW


35.
Determine how many of these meals will include chicken tenders.
Answer: MODEL ANSWER GIVEN BELOW


36.
If a student chooses pizza, corn or carrots, a dessert, and a beverage from the menu, determine
the number of possible meals that can be selected.
Answer: MODEL ANSWER GIVEN BELOW


37.
35 A man standing on level ground is 1000 feet away from the base of a 350-foot-tall building. Find,
   to the nearest degree, the measure of the angle of elevation to the top of the building from the
   point on the ground where the man is standing.
Answer: MODEL ANSWER GIVEN BELOW
[3] 19, and appropriate work is shown.


38.
Answer: MODEL ANSWER GIVEN BELOW


39.
                                           Part IV
    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]
[Only an algebraic solution can receive full credit.]
Answer: MODEL ANSWER GIVEN BELOW
[4] 2, and appropriate algebraic work is shown.


40.
38 A jar contains five red marbles and three green marbles. A marble is drawn at random and not
   replaced. A second marble is then drawn from the jar.
   Find the probability that the first marble is red and the second marble is green.
Answer: MODEL ANSWER GIVEN BELOW


41.
Find the probability that both marbles are red.
Answer: MODEL ANSWER GIVEN BELOW


42.
Find the probability that both marbles are the same color.
Answer: MODEL ANSWER GIVEN BELOW


43.

Answer: MODEL ANSWER GIVEN BELOW
[4] 65.86, an appropriate work is shown.



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