Syvum Home Page

Home > Examinations > NYSED Regents Exams > Algebra I >

Algebra I (Common Core) - New York Regents June 2014 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 When solving the equation 4(3x2 + 2) - 9 = 8x2 + 7, Emily wrote
  4(3x2 + 2) = 8x2 + 16 as her first step. Which property justifies
  Emily’s first step?
  (1) addition property of equality
  (2) commutative property of addition
  (3) multiplication property of equality
  (4) distributive property of multiplication over addition

  1

  2

  3

  4

  Half-n-half Clue
 

2.

2 Officials in a town use a function, C, to analyze traffic patterns.
  C(n) represents the rate of traffic through an intersection where
  n is the number of observed vehicles in a specified time interval.
  What would be the most appropriate domain for the function?

  1

  2

  3

  4

  Half-n-half Clue
 

3.

3 If A = 3x2 + 5x - 6 and B = -2x2 - 6x + 7, then A - B equals
  (1) -5x2 - 11x + 13         (3) -5x2 - x + 1
  (2) 5x2 + 11x - 13          (4) 5x2 - x + 1

  1

  2

  3

  4

  Half-n-half Clue
 

4.

4 Given: y + x > 2
         y ≤ 3x - 2
  Which graph shows the solution of the given set of inequalities?

  1

  2

  3

  4

  Half-n-half Clue
 

5.

(1) 8.25   (3) 19.25
(2) 8.89   (4) 44.92

  1

  2

  3

  4

  Half-n-half Clue
 

6.

6 The table below shows the average yearly balance in a savings
  account where interest is compounded annually. No money is
  deposited or withdrawn after the initial amount is deposited.
                  Year        Balance, in Dollars
                     0               380.00
                    10               562.49
                    20               832.63
                    30              1232.49
                    40              1824.39
                    50              2700.54
  Which type of function best models the given data?
  (1) linear function with a negative rate of change
  (2) linear function with a positive rate of change
  (3) exponential decay function
  (4) exponential growth function

  1

  2

  3

  4

  Half-n-half Clue
 

7.

7 A company that manufactures radios first pays a start-up cost, and
  then spends a certain amount of money to manufacture each radio.
  If the cost of manufacturing r radios is given by the function
   c(r) = 5.25r + 125, then the value 5.25 best represents
  (1) the start-up cost
  (2) the profit earned from the sale of one radio
  (3) the amount spent to manufacture each radio
  (4) the average number of radios manufactured

  1

  2

  3

  4

  Half-n-half Clue
 

8.

8 Which equation has the same solution as x2 - 6x - 12 = 0?
  (1) (x + 3)2 = 21            (3) (x + 3)2 = 3
  (2) (x - 3)2 = 21            (4) (x - 3)2 = 3

  1

  2

  3

  4

  Half-n-half Clue
 

9.

9 A ball is thrown into the air from the edge of a 48-foot-high cliff so
  that it eventually lands on the ground. The graph below shows the
  height, y, of the ball from the ground after x seconds.
For which interval is the ball’s height always decreasing?
(1) 0 ≤ x ≤ 2.5                 (3) 2.5 < x < 5.5
(2) 0 < x < 5.5                 (4) x ≥ 2

  1

  2

  3

  4

  Half-n-half Clue
 

10.

10 What are the roots of the equation x2 + 4x - 16 = 0?
   (1) 2 ± 2 √5                   (3) 2 ± 4 √5
   (2) -2 ± 2 √5                  (4) -2 ± 4 √5

  1

  2

  3

  4

  Half-n-half Clue
 

11.

11 What is the correlation coefficient of the linear fit of the data shown
   below, to the nearest hundredth?
(1) 1.00   (3) -0.93
(2) 0.93   (4) -1.00

  1

  2

  3

  4

  Half-n-half Clue
 

12.

12 Keith determines the zeros of the function f(x) to be -6 and 5.
   What could be Keith’s function?
   (1) f(x) = (x + 5)(x + 6)    (3) f(x) = (x - 5)(x + 6)
   (2) f(x) = (x + 5)(x - 6)    (4) f(x) = (x - 5)(x - 6)

  1

  2

  3

  4

  Half-n-half Clue
 

13.

13 Given:    L=    √2
             M =3 √3
             N = √16
             P=    √9
   Which expression results in a rational number?
   (1) L + M                     (3) N + P
   (2) M + N                     (4) P + L

  1

  2

  3

  4

  Half-n-half Clue
 

14.

14 Which system of equations has the same solution as the system
   below?
                         2x + 2y = 16
                          3x - y = 4
   (1) 2x + 2y = 16            (3) x + y = 16
       6x - 2y = 4                 3x - y = 4
   (2) 2x + 2y = 16            (4) 6x + 6y = 48
       6x - 2y = 8                 6x + 2y = 8

  1

  2

  3

  4

  Half-n-half Clue
 

15.

15 The table below represents the function F.
           x        3        4         6           7    8
          F(x)      9        17       65        129    257
   The equation that represents this function is
   (1) F(x) = 3x                  (3) F(x) = 2x + 1
   (2) F(x) = 3x                  (4) F(x) = 2x + 3

  1

  2

  3

  4

  Half-n-half Clue
 

16.

16 John has four more nickels than dimes in his pocket, for a total of
   $1.25. Which equation could be used to determine the number of
   dimes, x, in his pocket?
   (1) 0.10(x + 4) + 0.05(x) = $1.25
   (2) 0.05(x + 4) + 0.10(x) = $1.25
   (3) 0.10(4x) + 0.05(x) = $1.25
   (4) 0.05(4x) + 0.10(x) = $1.25

  1

  2

  3

  4

  Half-n-half Clue
 

17.

             
17 If f(x) = (1/3)x + 9, which statement is always true?
            
   (1) f(x) < 0                    (3) If x < 0, then f(x) < 0.
   (2) f(x) > 0                    (4) If x > 0, then f(x) > 0.

  1

  2

  3

  4

  Half-n-half Clue
 

18.

18 The Jamison family kept a log of the distance they traveled during a
   trip, as represented by the graph below.
During which interval was their average speed the greatest?
(1) the first hour to the second hour
(2) the second hour to the fourth hour
(3) the sixth hour to the eighth hour
(4) the eighth hour to the tenth hour

  1

  2

  3

  4

  Half-n-half Clue
 

19.

19 Christopher looked at his quiz scores shown below for the first and
   second semester of his Algebra class.
   Semester 1:   78, 91, 88, 83, 94
   Semester 2:   91, 96, 80, 77, 88, 85, 92
   Which statement about Christopher’s performance is correct?
   (1) The interquartile range for semester 1 is greater than the
       interquartile range for semester 2.
   (2) The median score for semester 1 is greater than the median
       score for semester 2.
   (3) The mean score for semester 2 is greater than the mean score
       for semester 1.
   (4) The third quartile for semester 2 is greater than the third
       quartile for semester 1.

  1

  2

  3

  4

  Half-n-half Clue
 

20.

20 The graph of y = f(x) is shown below.
Which point could be used to find f(2)?
(1) A                         (3) C
(2) B                         (4) D

  1

  2

  3

  4

  Half-n-half Clue
 

21.

21 A sunflower is 3 inches tall at week 0 and grows 2 inches each week.
   Which function(s) shown below can be used to determine the
   height, f(n), of the sunflower in n weeks?
         I. f(n) = 2n + 3
        II. f(n) = 2n + 3(n - 1)
       III. f(n) = f(n - 1) + 2 where f(0) = 3
   (1) I and II                    (3) III, only
   (2) II, only                    (4) I and III

  1

  2

  3

  4

  Half-n-half Clue
 

22.

22 A cell phone company charges $60.00 a month for up to 1 gigabyte
   of data. The cost of additional data is $0.05 per megabyte. If d
   represents the number of additional megabytes used and c
   represents the total charges at the end of the month, which linear
   equation can be used to determine a user’s monthly bill?
   (1) c = 60 - 0.05d             (3) c = 60d - 0.05
   (2) c = 60.05d                 (4) c = 60 + 0.05d

  1

  2

  3

  4

  Half-n-half Clue
 

23.

                                               
23 The formula for the volume of a cone is V = (1/3)πr2 h. The radius, r,
                                               
   of the cone may be expressed as

  1

  2

  3

  4

  Half-n-half Clue
 

24.

24 The diagrams below represent the first three terms of a sequence.
Assuming the pattern continues, which formula determines an,
the number of shaded squares in the nth term?
(1) an = 4n + 12            (3) an = 4n + 4
(2) an = 4n + 8             (4) an = 4n + 2

  1

  2

  3

  4

  Half-n-half Clue
 
Skip to Questions 25 - 32


 
7 more pages in Algebra I


Contact Info © 1999-2017 Syvum Technologies Inc. Privacy Policy Disclaimer and Copyright
Previous
-
Next
-