Regents Practice TEST 3
Interactive Version - Multiple Choice
 Integrated Algebra Level
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Directions:  Choose the best answer.  Answer ALL questions (or only a few at a time), then use the BUTTON at the BOTTOM of the page to check your answers.  If you are told that an answer is incorrect, go back and redo that question and CHECK ANSWERS again.   You may CHECK ANSWERS at any time.
You may use your graphing calculator when working on these problems.
1.   Which property is displayed in the following equation?    (xy)z = x(yz)
              [1]  commutative property of multiplication           [3]  associative property of multiplication
               [2]  distributive property                                     [4]  multiplicative inverse property
 
 


2.  A large pizza has a circumference of 72.5 inches.  Which of the perimeters listed could belong to the smallest box capable of holding a large pizza?

     [1]  23                                 [2]  24                        [3]  73                        [4]  96
 


3.  For what values is    undefined?

     [1] {2, -7}                           [2] {-2, 7}                  [3]  {2, 7}                   [4]  {-2, -7}
 


4.  The ages of two brothers can be represented as consecutive even integers.  If the younger brother's age is x + 3, which expression represents the age of the older brother.

     [1]  x + 1                             [2]  x + 4                    [3]  x + 5                     [4]  2x + 3
 


5.  Given the relation A = {(5,2), (7,4), (9,10), (x, 5)}.  Which of the following values for x will make relation A a function?

     [1]  9                                    [2]   7                         [3]  5                          [4]  4
 


6.  The expression is equivalent to

     [1]                                [2]                       [3]                    [4] 
 


7.  If    18x2y + 12x2y2 - 6xy2   is divided by  6xy,   the quotient is  

    [1]  2x + 2xy - y                   [2]  3x + 2xy - y          [3]  3x + 2y - 1        [4]  3xy + 2x2y - y2


8.  The slope of a line parallel to the line whose equation is 3y + 2x = 6 is

     [1]  -2/3                                [2]  2/3                       [3]  -3/2                    [4]  3/2


9.  The heights of all the students in grade 9 are arranged from least to greatest. Which statistical measure separates the top half of this set of data from the bottom half?

     [1]  mean                               [2]  mode                     [3] median                [4] average


10.  Which ordered pair is not a solution set of  y > 5x - 1?

     [1]  (1, 5)                             [2]  (1, 6)                     [3]  (1, 8)                 [4]  (2, 5)


11.  When solved graphically, which system of equations will have exactly one point of intersection?

     [1]  y = -x - 20                      [2] y = 0.5x + 30        [3] y = 0.6x + 12      [4]  y = -x + 15
                 y = x + 17                                   y = 0.5x - 30                    y = 0.6x - 19                   y = -x + 25


12. 

     [1]                                [2]                     [3]                    [4] 


13.  The accompanying graph shows the amount of water left in Rover’s water dish over a period of time.  How long did Rover wait from the end of his first drink to the start of his second drink of water?

     [1]   10 sec              [3]   60 sec 

     [2]   30 sec              [4]   75 sec


14.   The expression (3x2 + 2xy + 7) – (6x2 - 4xy + 3) is equivalent to

     [1] -3x2 - 2xy + 4           [2] 3x2 - 2xy + 4         [3]  -3x2 + 6xy + 4           [4] 3x2 - 6xy - 4


15.  If x = –4 and y = 3, what is the value of x – 3y2?

     [1]  -13                         [2]  -23                         [3]  -31                           [4]  -85
                                              


16.  The formula for potential energy is P = mgh, where P is potential energy, m is mass, g is gravity, and h is height. Which expression can be used to represent g?
     [1]                   [2]                       [3]                       [4]  


17.  The NuFone Communications Company must run a telephone line between two poles at opposite ends of a lake, as shown in the accompanying diagram. The length and width of the lake are 75 feet and 30 feet, respectively.  What is the distance between the two poles, to the nearest foot?
     [1]  105

     [2]  81
     [3]  69
     [4]  45


18.  What is the solution set of the equation ?
     [1]   {4}                            [2]   {10}                    [3]  {20}                      [4]   (49)


19.  A deli has five types of meat, two types of cheese, and three types of bread. How many different sandwiches, consisting of one type of meat, one type of cheese, and one type of bread, does the deli serve?
     [1]  10                              [2]  25                          [3]  30                         [4]  75


20.  At a school fair, the spinner represented in the accompanying diagram is spun twice.  What is the probability that it will land in section G the first time and then in section B the second time?
     [1]  

     [2]  
     [3]      
     [4]  


21.  If n represents an odd number, which computation results in an answer that is an even number?
     [1]                [2]                   [3]                        [4] 


22.  The operation element @ is determined by the following table.  What is the identity element of this operation?

[1]  a, only                    [3]  c
 
  [2]  b, only                  [4]  a and b


23.  If point (–1,0) is on the line whose equation is y = 2x + b, what is the value of b?
     [1]  1                      [2]   2                                [3]  3                               [4]  0


24.  What are the factors of x2 - 5x + 6?
  [1]  (x + 2) and (x + 3)     [2] (x - 2) and (x - 3)      [3] (x + 6) and (x - 1)   [4] (x - 6) and (x + 1)


25.  The length of a side of a square window in Jessica’s bedroom is represented by 2x – 1. Which expression represents the area of the window?
     [1]  2x2 + 1             [2]  4x2 + 1                      [3]  4x2 + 4x + 1              [4] 4x2 - 4x + 1   


26.  The graph of lies in which Quadrant(s)?
     [1]   I, II                  [2]   I only                          [3]  I, III                          [4]  I, IV
                         


27. Which inequality is represented by the graph below?
  [1]             [3]  

 
  [2]            [ 4] 


28.  Andy has grades of  84, 65, and 76 on three math tests.  What grade must he obtain on the next test to have an average of exactly 80 for the four tests?
     [1]  90                         [2]  95                        [3]  85                           [4]  80


29.  The baby T-Rex at the museum weighs 851 pounds, to the nearest pound.  Which weight listed cannot be the actual weight of the baby T-Rex?

     [1]  850.6 pounds       [2]  851.0 pounds       [3]  851.4 pounds          [4]  851.6 pounds 


30.  What is the equation of the axis of symmetry  of the graph  y = 3x2 + 12x - 2 ?

     [1]  x = -2                  [2]  x = 2                    [3]  y = -2                     [4]  y = 2
 


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