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

    Answer all 24 questions in this part. Each correct answer will receive 2 credits. No partial
credit will be allowed. 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]

Formats Worksheet / Test Paper Quiz Review
: Multiple choice

Your Performance  

1.

1 The owner of a small computer repair business has one employee,
  who is paid an hourly rate of $22. The owner estimates his weekly
  profit using the function P(x) = 8600 - 22x. In this function, x
  represents the number of
  (1) computers repaired per week
  (2) hours worked per week
  (3) customers served per week
  (4) days worked per week

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2.

2 Peyton is a sprinter who can run the 40-yard dash in 4.5 seconds.
  He converts his speed into miles per hour, as shown below.

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3.

3 Which equation has the same solutions as 2x2 + x - 3 = 0?
  (1) (2x - 1)(x + 3) = 0       (3) (2x - 3)(x + 1) = 0
  (2) (2x + 1)(x - 3) = 0       (4) (2x + 3)(x - 1) = 0

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4.

4 Krystal was given $3000 when she turned 2 years old. Her parents
  invested it at a 2% interest rate compounded annually. No deposits or
  withdrawals were made. Which expression can be used to determine
  how much money Krystal had in the account when she turned 18?
(1) 3000(1 + 0.02)16   (3) 3000(1 + 0.02)18
(2) 3000(1 - 0.02)16   (4) 3000(1 - 0.02)18

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5.

5 Which table of values represents a linear relationship?
x      f(x)     x      f(x)
−1         −3   −1         −3
 0         −2    0         −1
 1          1    1          1
 2          6    2          3
 3         13    3          5
     (1)             (3)
x      f(x)     x      f(x )
−1         ½    −1         −1
 0         1     0          0
 1         2     1          1
 2         4     2          8
 3         8     3         27
     (2)             (4)

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6.

6 Which domain would be the most appropriate set to use for a
  function that predicts the number of household online-devices in
  terms of the number of people in the household?
  (1) integers                 (3) irrational numbers
  (2) whole numbers            (4) rational numbers

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7.

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8.

8 The value in dollars, v(x), of a certain car after x years is represented
  by the equation v(x) = 25,000(0.86)x. To the nearest dollar,
  how much more is the car worth after 2 years than after 3 years?
  (1) 2589                          (3) 15,901
  (2) 6510                          (4) 18,490

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9.

9 Which function has the same y-intercept as the graph below?

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10.

10 Fred is given a rectangular piece of paper. If the length of Fred’s
   piece of paper is represented by 2x - 6 and the width is represented
   by 3x - 5, then the paper has a total area represented by
(1) 5x - 11          (3) 10x - 22
(2) 6x2 - 28x + 30   (4) 6x2 - 6x - 11

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11.

11 The graph of a linear equation contains the points (3,11) and (-2,1).
   Which point also lies on the graph?
   (1) (2,1)                       (3) (2,6)
   (2) (2,4)                       (4) (2,9)

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12.

12 How does the graph of f(x) = 3(x - 2)2 + 1 compare to the graph
   of g(x) = x2?
(1) The graph of f(x) is wider than the graph of g(x), and its vertex
    is moved to the left 2 units and up 1 unit.
(2) The graph of f(x) is narrower than the graph of g(x), and its vertex
    is moved to the right 2 units and up 1 unit.
(3) The graph of f(x) is narrower than the graph of g(x), and its vertex
    is moved to the left 2 units and up 1 unit.
(4) The graph of f(x) is wider than the graph of g(x), and its vertex is
    moved to the right 2 units and up 1 unit.

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13.

13 Connor wants to attend the town carnival. The price of admission to
   the carnival is $4.50, and each ride costs an additional 79 cents.
   If he can spend at most $16.00 at the carnival, which inequality can
   be used to solve for r, the number of rides Connor can go on, and
   what is the maximum number of rides he can go on?
(1) 0.79 + 4.50r ≤ 16.00; 3 rides
(2) 0.79 + 4.50r ≤ 16.00; 4 rides
(3) 4.50 + 0.79r ≤ 16.00; 14 rides
(4) 4.50 + 0.79r ≤ 16.00; 15 rides

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14.

14 Corinne is planning a beach vacation in July and is analyzing the
   daily high temperatures for her potential destination. She would like
   to choose a destination with a high median temperature and a small
   interquartile range. She constructed box plots shown in the diagram
   below.
Which destination has a median temperature above 80 degrees and
the smallest interquartile range?
(1) Ocean Beach              (3) Serene Shores
(2) Whispering Palms         (4) Pelican Beach

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15.

What is the y-intercept of this equation and what does it represent?
(1) 0.98, the percent of money in the account initially
(2) 0.98, the percent of money in the account after x years
(3) 5000, the amount of money in the account initially
(4) 5000, the amount of money in the account after x years
15 Some banks charge a fee on savings accounts that are left inactive
   for an extended period of time. The equation y = 5000(0.98)x
   represents the value, y, of one account that was left inactive for a
   period of x years.

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16.

16 The equation for the volume of a cylinder is V = πr2h. The positive
   value of r, in terms of h and V, is

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17.

17 Which equation has the same solutions as x2 + 6x - 7 = 0?
   (1) (x + 3)2 = 2              (3) (x - 3)2 = 16
   (2) (x - 3)2 = 2              (4) (x + 3)2 = 16

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18.

18 Two functions, y = |x - 3| and 3x + 3y = 27, are graphed on the
   same set of axes. Which statement is true about the solution to the
   system of equations?
   (1) (3,0) is the solution to the system because it satisfies the equation
       y = |x - 3|.
   (2) (9,0) is the solution to the system because it satisfies the equation
       3x + 3y = 27.
   (3) (6,3) is the solution to the system because it satisfies both equations.
   (4) (3,0), (9,0), and (6,3) are the solutions to the system of equations
       because they all satisfy at least one of the equations.

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19.

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20.

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21.

21 An astronaut drops a rock off the edge of a cliff on the Moon.
   The distance, d(t), in meters, the rock travels after t seconds can be
   modeled by the function d(t) = 0.8t2. What is the average speed,
   in meters per second, of the rock between 5 and 10 seconds after
   it was dropped?
   (1) 12                           (3) 60
   (2) 20                           (4) 80

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22.

22 When factored completely, the expression p4 - 81 is equivalent to
   (1) (p2 + 9)(p2 - 9)
   (2) (p2 - 9)(p2 - 9)
   (3) (p2 + 9)(p + 3)(p - 3)
   (4) (p + 3)(p - 3)(p + 3)(p - 3)

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23.

23 In 2013, the United States Postal Service charged $0.46 to mail a
   letter weighing up to 1 oz. and $0.20 per ounce for each additional
   ounce. Which function would determine the cost, in dollars, c(z), of
   mailing a letter weighing z ounces where z is an integer greater
   than 1?
   (1) c(z) = 0.46z + 0.20         (3) c(z) = 0.46(z - 1) + 0.20
   (2) c(z) = 0.20z + 0.46         (4) c(z) = 0.20(z - 1) + 0.46

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24.

24 A polynomial function contains the factors x, x - 2, and x + 5.
   Which graph(s) below could represent the graph of this function?
(1) I, only    (3) I and III
(2) II, only   (4) I, II, and III

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