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


Formats Worksheet / Test Paper Quiz Review
: Multiple choice

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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 Given the graph of the line represented by the equation
  f(x) = -2x + b, if b is increased by 4 units, the graph of the new
  line would be shifted 4 units
  (1) right                      (3) left
  (2) up                         (4) down

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2.

2 Rowan has $50 in a savings jar and is putting in $5 every week. Jonah
  has $10 in his own jar and is putting in $15 every week. Each of them
  plots his progress on a graph with time on the horizontal axis and
  amount in the jar on the vertical axis. Which statement about their
  graphs is true?
  (1) Rowan’s graph has a steeper slope than Jonah’s.
  (2) Rowan’s graph always lies above Jonah’s.
  (3) Jonah’s graph has a steeper slope than Rowan’s.
  (4) Jonah’s graph always lies above Rowan’s.

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3.

3 To watch a varsity basketball game, spectators must buy a ticket at
  the door. The cost of an adult ticket is $3.00 and the cost of a
  student ticket is $1.50. If the number of adult tickets sold is
  represented by a and student tickets sold by s, which expression
  represents the amount of money collected at the door from the
  ticket sales?
  (1) 4.50as                     (3) (3.00a)(1.50s)
  (2) 4.50(a + s)                (4) 3.00a + 1.50s

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4.

4 The graph of f(x) is shown below.
Which function could represent the graph of f(x)?
(1) f(x) = (x + 2)(x2 + 3x - 4)
(2) f(x) = (x - 2)(x2 + 3x - 4)
(3) f(x) = (x + 2)(x2 + 3x + 4)
(4) f(x) = (x - 2)(x2 + 3x + 4)

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5.

5 The cost of a pack of chewing gum in a vending machine is $0.75.
  The cost of a bottle of juice in the same machine is $1.25. Julia has
  $22.00 to spend on chewing gum and bottles of juice for her team and
  she must buy seven packs of chewing gum. If b represents the number
  of bottles of juice, which inequality represents the maximum number
  of bottles she can buy?
  (1) 0.75b + 1.25(7) ≥ 22       (3) 0.75(7) + 1.25b ≥ 22
  (2) 0.75b + 1.25(7) ≤ 22       (4) 0.75(7) + 1.25b ≤ 22

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6.

6 Which graph represents the solution of y ≤ x + 3 and y ≥ -2x - 2?

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7.

7 The country of Benin in West Africa has a population of 9.05 million
  people. The population is growing at a rate of 3.1% each year.
  Which function can be used to find the population 7 years from now?

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8.

8 A typical cell phone plan has a fixed base fee that includes a certain
  amount of data and an overage charge for data use beyond the plan.
  A cell phone plan charges a base fee of $62 and an overage charge
  of $30 per gigabyte of data that exceed 2 gigabytes. If C represents
  the cost and g represents the total number of gigabytes of data,
  which equation could represent this plan when more than
  2 gigabytes are used?
  (1) C = 30 + 62(2 - g)          (3) C = 62 +30(2 - g)
  (2) C = 30 + 62(g - 2)          (4) C = 62 + 30(g - 2)

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9.

9 Four expressions are shown below.
                        I     2(2x2 - 2x - 60)
                        II    4(x2 - x - 30)
                        III   4(x + 6)(x - 5)
                        IV    4x(x - 1) - 120
  The expression 4x2 - 4x - 120 is equivalent to
  (1) I and II, only               (3) I, II, and IV
  (2) II and IV, only              (4) II, III, and IV

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10.

10 Last week, a candle store received $355.60 for selling 20 candles.
   Small candles sell for $10.98 and large candles sell for $27.98.
   How many large candles did the store sell?
   (1) 6                          (3) 10
   (2) 8                          (4) 12

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11.

11 Which representations are functions?
(1) I and II    (3) III, only
(2) II and IV   (4) IV, only

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12.

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13.

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

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14.

14 Which recursively defined function has a first term equal to 10 and
   a common difference of 4?
   (1) f(1) = 10                  (3) f(1) = 10
       f(x) = f(x - 1) + 4            f(x) = 4 f(x - 1)
   (2) f(1) = 4                   (4) f(1) = 4
       f(x) = f(x - 1) + 10           f(x) = 10 f(x - 1)

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15.

15 Firing a piece of pottery in a kiln takes place at different
   temperatures for different amounts of time. The graph below shows
   the temperatures in a kiln while firing a piece of pottery after the
   kiln is preheated to 200ºF.
During which time interval did the temperature in the kiln show the
greatest average rate of change?
(1) 0 to 1 hour                (3) 2.5 hours to 5 hours
(2) 1 hour to 1.5 hours        (4) 5 hours to 8 hours

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16.

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17.

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18.

18 Alicia has invented a new app for smart phones that two companies
   are interested in purchasing for a 2-year contract.
   Company A is offering her $10,000 for the first month and will
   increase the amount each month by $5000.
   Company B is offering $500 for the first month and will double their
   payment each month from the previous month.
   Monthly payments are made at the end of each month. For which
   monthly payment will company B’s payment first exceed company A’s
   payment?
   (1) 6                          (3) 8
   (2) 7                          (4) 9

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19.

19 The two sets of data below represent the number of runs scored by
   two different youth baseball teams over the course of a season.
                   Team A: 4, 8, 5, 12, 3, 9, 5, 2
                   Team B: 5, 9, 11, 4, 6, 11, 2, 7
   Which set of statements about the mean and standard deviation is
   true?
   (1) mean A < mean B
       standard deviation A > standard deviation B
   (2) mean A > mean B
       standard deviation A < standard deviation B
   (3) mean A < mean B
       standard deviation A < standard deviation B
   (4) mean A > mean B
       standard deviation A > standard deviation B

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20.

20 If Lylah completes the square for f(x) = x2 - 12x + 7 in order
   to find the minimum, she must write f(x) in the general form
   f(x) = (x - a)2 + b. What is the value of a for f(x)?
   (1) 6                          (3) 12
   (2) -6                         (4) -12

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21.

21 Given the following quadratic functions:
Which statement about these functions is true?
(1) Over the interval -1 ≤ x ≤ 1, the average rate of change for n(x)
    is less than that for g(x).
(2) The y-intercept of g(x) is greater than the y-intercept for n(x).
(3) The function g(x) has a greater maximum value than n(x).
(4) The sum of the roots of n(x) = 0 is greater than the sum of the
    roots of g(x) = 0.

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22.

22 For which value of P and W is P + W a rational number?

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23.

23 The solution of the equation (x + 3)2 = 7 is

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24.

24 Which trinomial is equivalent to 3(x - 2)2 - 2(x - 1)?
   (1) 3x2 - 2x - 10             (3) 3x2 - 14x + 10
   (2) 3x2 - 2x - 14             (4) 3x2 - 14x + 14

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