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Algebra I (Common Core) - New York Regents June 2015 Exam


Formats Worksheet / Test Paper Quiz Review
: Multiple choice

Your Performance  

1.

                                               Part I
    Answer all 24 questions in this part. Each correct answer will receive 2 credits. No partial
credit will be allowed. Utilize the information provided for each question to determine your answer.
Note that diagrams are not necessarily drawn to scale. 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. [48]
1 The cost of airing a commercial on television is modeled by the
  function C(n) = 110n + 900, where n is the number of times the
  commercial is aired. Based on this model, which statement is true?
  (1) The commercial costs $0 to produce and $110 per airing up to
      $900.
  (2) The commercial costs $110 to produce and $900 each time it is
      aired.
  (3) The commercial costs $900 to produce and $110 each time it is
      aired.
  (4) The commercial costs $1010 to produce and can air an unlimited
      number of times.

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2.

2 The graph below represents a jogger’s speed during her 20-minute
  jog around her neighborhood.
Which statement best describes what the jogger was doing during
the 9–12 minute interval of her jog?
(1) She was standing still.
(2) She was increasing her speed.
(3) She was decreasing her speed.
(4) She was jogging at a constant rate.

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3.

3 If the area of a rectangle is expressed as x4 - 9y2, then the product
  of the length and the width of the rectangle could be expressed as
  (1) (x - 3y)(x + 3y)           (3) (x2 - 3y)(x2 - 3y)
  (2) (x2 - 3y)(x2 + 3y)         (4) (x4 + y)(x - 9y)

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4.

4 Which table represents a function?

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5.

5 Which inequality is represented in the graph below?
(1) y ≥ -3x + 4   (3) y ≥ -4x - 3
(2) y ≤ -3x + 4   (4) y ≤ -4x - 3

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6.

6 Mo’s farm stand sold a total of 165 pounds of apples and peaches.
  She sold apples for $1.75 per pound and peaches for $2.50 per
  pound. If she made $337.50, how many pounds of peaches did she
  sell?
  (1) 11                        (3) 65
  (2) 18                        (4) 100

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7.

7 Morgan can start wrestling at age 5 in Division 1. He remains in that
  division until his next odd birthday when he is required to move up
  to the next division level. Which graph correctly represents this
  information?

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8.

8 Which statement is not always true?
  (1) The sum of two rational numbers is rational.
  (2) The product of two irrational numbers is rational.
  (3) The sum of a rational number and an irrational number is irrational.
  (4) The product of a nonzero rational number and an irrational
      number is irrational.

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9.

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10.

10 What are the zeros of the function f(x) = x2 - 13x - 30?
   (1) -10 and 3                 (3) -15 and 2
   (2) 10 and -3                 (4) 15 and -2

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11.

11 Joey enlarged a 3-inch by 5-inch photograph on a copy machine.
   He enlarged it four times. The table below shows the area of the
   photograph after each enlargement.
What is the average rate of change of the area from the original
photograph to the fourth enlargement, to the nearest tenth?
(1) 4.3                      (3) 5.4
(2) 4.5                      (4) 6.0

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12.

12 Which equation(s) represent the graph below?
(1) I, only    (3) I and II
(2) II, only   (4) II and III

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13.

13 A laboratory technician studied the population growth of a colony of
   bacteria. He recorded the number of bacteria every other day, as
   shown in the partial table below.

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14.

14 Which quadratic function has the largest maximum?

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15.

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16.

16 Beverly did a study this past spring using data she collected from a
   cafeteria. She recorded data weekly for ice cream sales and soda sales.
   Beverly found the line of best fit and the correlation coefficient,
   as shown in the diagram below.
Given this information, which statement(s) can correctly be concluded?
I.   Eating more ice cream causes a person to become thirsty.
II. Drinking more soda causes a person to become hungry.
III. There is a strong correlation between ice cream sales and soda sales.
(1) I, only                       (3) I and III
(2) III, only                     (4) II and III

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17.

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18.

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19.

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20.

20 The table below shows the annual salaries for the 24 members of a
   professional sports team in terms of millions of dollars.
The team signs an additional player to a contract worth 10 million
dollars per year. Which statement about the median and mean is
true?
(1) Both will increase.
(2) Only the median will increase.
(3) Only the mean will increase.
(4) Neither will change.

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21.

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22.

22 A pattern of blocks is shown below.
If the pattern of blocks continues, which formula(s) could be used
to determine the number of blocks in the nth term?
(1) I and II    (3) II and III
(2) I and III   (4) III, only

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23.

23 What are the solutions to the equation x2 - 8x = 24?

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24.

24 Natasha is planning a school celebration and wants to have live music
   and food for everyone who attends. She has found a band that will
   charge her $750 and a caterer who will provide snacks and drinks for
   $2.25 per person. If her goal is to keep the average cost per person
   between $2.75 and $3.25, how many people, p, must attend?
   (1) 225 < p < 325               (3) 500 < p < 1000
   (2) 325 < p < 750               (4) 750 < p < 1500

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