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Algebra I (Common Core) - New York Regents January 2016 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 In the function f(x) = (x - 2)2 + 4, the minimum value occurs
  when x is
  (1) -2                      (3) -4
  (2) 2                       (4) 4

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2.

2 The graph below was created by an employee at a gas station.
Which statement can be justified by using the graph?
(1) If 10 gallons of gas was purchased, $35 was paid.
(2) For every gallon of gas purchased, $3.75 was paid.
(3) For every 2 gallons of gas purchased, $5.00 was paid.
(4) If zero gallons of gas were purchased, zero miles were driven.

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3.

3 For a recently released movie, the function y = 119.67(0.61)x models
  the revenue earned, y, in millions of dollars each week, x, for several
  weeks after its release.
  Based on the equation, how much more money, in millions of dollars,
  was earned in revenue for week 3 than for week 5?
  (1) 37.27                       (3) 17.06
  (2) 27.16                       (4) 10.11

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4.

4 Given the following expressions:
Which expression(s) result in an irrational number?
(1) II, only                   (3) I, III, IV
(2) III, only                  (4) II, III, IV

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5.

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

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6.

6 Michael borrows money from his uncle, who is charging him simple
  interest using the formula I = Prt. To figure out what the interest
  rate, r, is, Michael rearranges the formula to find r. His new formula
  is r equals

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7.

7 Which equation is equivalent to y - 34 = x(x - 12)?
  (1) y = (x - 17)(x + 2)       (3) y = (x - 6)2 + 2
  (2) y = (x - 17)(x - 2)       (4) y = (x - 6)2 - 2

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8.

8 The equation A = 1300(1.02)7 is being used to calculate the amount
  of money in a savings account. What does 1.02 represent in this
  equation?
  (1) 0.02% decay                (3) 2% decay
  (2) 0.02% growth               (4) 2% growth

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9.

9 The zeros of the function f(x) = 2x2 - 4x - 6 are
  (1) 3 and -1                   (3) -3 and 1
  (2) 3 and 1                    (4) -3 and -1

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10.

10 When (2x - 3)2 is subtracted from 5x2, the result is
   (1) x2 - 12x - 9               (3) x2 + 12x - 9
   (2) x2 - 12x + 9               (4) x2 + 12x + 9

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11.

                                                                            Use this space for
11 Joe has a rectangular patio that measures 10 feet by 12 feet. He wants    computations.
   to increase the area by 50% and plans to increase each dimension by
   equal lengths, x. Which equation could be used to determine x?
   (1) (10 + x)(12 + x) = 120       (3) (15 + x)(18 + x) = 180
   (2) (10 + x)(12 + x) = 180       (4) (15)(18) = 120 + x2

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12.

12 When factored completely, x3 - 13x2 - 30x is
   (1) x(x + 3)(x - 10)          (3) x(x + 2)(x - 15)
   (2) x(x - 3)(x - 10)          (4) x(x - 2)(x + 15)

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13.

13 The table below shows the cost of mailing a postcard in different years.
   During which time interval did the cost increase at the greatest
   average rate?
(1) 1898–1971   (3) 1985–2006
(2) 1971–1985   (4) 2006–2012

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14.

14 When solving the equation x2 - 8x - 7 = 0 by completing the square,
   which equation is a step in the process?
   (1) (x - 4)2 = 9               (3) (x - 8)2 = 9
   (2) (x - 4)2 = 23              (4) (x - 8)2 = 23

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15.

15 A construction company uses the function f(p), where p is the number
   of people working on a project, to model the amount of money it spends
   to complete a project. A reasonable domain for this function would be
   (1) positive integers
   (2) positive real numbers
   (3) both positive and negative integers
   (4) both positive and negative real numbers

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16.

16 Which function is shown in the table below?

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17.

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18.

18 Which recursively defined function represents the sequence
   3, 7, 15, 31, …?
   (1) f(1) = 3, f(n + 1) = 2 f(n) + 3
   (2) f(1) = 3, f(n + 1) = 2 f(n) - 1
   (3) f(1) = 3, f(n + 1) = 2f(n) + 1
   (4) f(1) = 3, f(n + 1) = 3f(n) - 2

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19.

19 The range of the function defined as y = 5x is
   (1) y < 0                      (3) y ≤ 0
   (2) y > 0                      (4) y ≥ 0

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20.

20 The graph of y = f(x) is shown below.
What is the graph of y = f(x + 1) - 2?

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21.

21 Which pair of equations could not be used to solve the following
   equations for x and y?
                          4x + 2y = 22
                         -2x + 2y = -8
   (1) 4x + 2y = 22              (3) 12x + 6y = 66
       2x - 2y = 8                   6x - 6y = 24
   (2) 4x + 2y = 22              (4) 8x + 4y = 44
       -4x + 4y = -16                -8x + 8y = -8

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22.

22 The graph representing a function is shown below.
Which function has a minimum that is less than the one shown in the
graph?
(1) y = x2 - 6x + 7            (3) y = x2 - 2x - 10
(2) y = |x + 3| - 6            (4) y = |x - 8| + 2

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23.

23 Grisham is considering the three situations below.
   I.   For the first 28 days, a sunflower grows at a rate of 3.5 cm per day.
   II. The value of a car depreciates at a rate of 15% per year after it
       is purchased.
   III. The amount of bacteria in a culture triples every two days during
        an experiment.
   Which of the statements describes a situation with an equal difference
   over an equal interval?
   (1) I, only                       (3) I and III
   (2) II, only                      (4) II and III

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24.

24 After performing analyses on a set of data, Jackie examined the scatter
   plot of the residual values for each analysis. Which scatter plot
   indicates the best linear fit for the data?

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