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Algebra I (Common Core) - New York Regents August 2017 Exam


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: 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]

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2.

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3.

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4.

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5.

5 The graph below models the height of a remote-control helicopter
  over 20 seconds during flight.
Over which interval does the helicopter have the slowest average rate
of change?
(1) 0 to 5 seconds             (3) 10 to 15 seconds
(2) 5 to 10 seconds            (4) 15 to 20 seconds

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6.

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7.

7 Wenona sketched the polynomial P(x) as shown on the axes below.
Which equation could represent P(x)?

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8.

8 Which situation does not describe a causal relationship?
  (1) The higher the volume on a radio, the louder the sound will be.
  (2) The faster a student types a research paper, the more pages the
      research paper will have.
  (3) The shorter the time a car remains running, the less gasoline it
      will use.
  (4) The slower the pace of a runner, the longer it will take the runner
      to finish the race.

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9.

9 A plumber has a set fee for a house call and charges by the hour
  for repairs. The total cost of her services can be modeled by
Which statements about this function are true?
I.   A house call fee costs $95.
II. The plumber charges $125 per hour.
III. The number of hours the job takes is represented by t.
(1) I and II, only                 (3) II and III, only
(2) I and III, only                (4) I, II, and III

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10.

10 What is the domain of the relation shown below?

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11.

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12.

12 Konnor wants to burn 250 Calories while exercising for 45 minutes at
   the gym. On the treadmill, he can burn 6 Cal/min. On the stationary
   bike, he can burn 5 Cal/min.
   If t represents the number of minutes on the treadmill and b represents
   the number of minutes on the stationary bike, which expression
   represents the number of Calories that Konnor can burn on the
   stationary bike?

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13.

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14.

14 If a population of 100 cells triples every hour, which function
   represents p(t), the population after t hours?

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15.

15 A sequence of blocks is shown in the diagram below.
 
 

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16.

16 Mario’s $15,000 car depreciates in value at a rate of 19% per
   year. The value, V, after t years can be modeled by the function
Which function is equivalent to the original
function?

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17.

17 The highest possible grade for a book report is 100. The teacher
   deducts 10 points for each day the report is late.
   Which kind of function describes this situation?
   (1) linear                     (3) exponential growth
   (2) quadratic                  (4) exponential decay

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18.


Which statements about these functions are true?
(1) I and II, only    (3) II and III, only
(2) I and III, only   (4) I, II, and III

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19.

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20.

20 How many of the equations listed below represent the line passing
   through the points (2,3) and (4,⫺7)?
(1) 1   (3) 3
(2) 2   (4) 4

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21.

21 The Ebola virus has an infection rate of 11% per day as compared to
   the SARS virus, which has a rate of 4% per day.
   If there were one case of Ebola and 30 cases of SARS initially
   reported to authorities and cases are reported each day, which
   statement is true?
   (1) At day 10 and day 53 there are more Ebola cases.
   (2) At day 10 and day 53 there are more SARS cases.
   (3) At day 10 there are more SARS cases, but at day 53 there are
       more Ebola cases.
   (4) At day 10 there are more Ebola cases, but at day 53 there are
       more SARS cases.

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22.

22 The results of a linear regression are shown below.
Which phrase best describes the relationship between x and y?
(1) strong negative correlation
(2) strong positive correlation
(3) weak negative correlation
(4) weak positive correlation

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23.

23 Abigail’s and Gina’s ages are consecutive integers. Abigail is younger
   than Gina and Gina’s age is represented by x. If the difference of
   the square of Gina’s age and eight times Abigail’s age is 17, which
   equation could be used to find Gina’s age?

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24.

24 Which system of equations does not have the same solution as the
   system below?

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