Regents Practice TEST 2
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.   For 10 days, Romero kept a record of the number of hours he spent listening to music.  The information is shown in the table below.  Which scatter plot shows this data graphically?
              [1]                                [2]                            [3]                             [4]
 


2.  Throughout history, many people have contributed to the development of mathematics.  These mathematicians include Pythagoras, Euclid, Hypatia, Euler, Einstein, Agnesi, Fibonacci, and Pascal.  What is the probability that a mathematician's name selected at random from those listed will start with either the letter E or the letter A?

     [1]  2/8                                [2]  3/8                        [3]  4/8                       [4]  6/8
 


3.  Which expression represents  in simplest form?

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


4.  Which interval notation represents the set of all numbers from 2 through 7, inclusive?

     [1]  (2,7]                               [2]  (2,7)                    [3]  [2,7)                    [4]  [2,7]
 


5.  Which property is illustrated by the equation ax + ay = a(x + y)?

     [1]  associative                        [2]   commutative       [3]  distributive           [4]  identity
 


6.  The expression x² - 16 is equivalent to

     [1]  (x + 2)(x - 8)                     [2]  (x - 2)(x + 8)       [3]  (x + 4)(x - 4)       [4]  (x + 8)(x - 8)
 


7.  Which situation describes a correlation that is not a causal relationship?

  [1]  The rooster crows, and the sun rises.                      [3]  The more powerful the microwave, the faster    
                                                                                                        the food cooks.
  [2]  The more miles driven, the more gasoline needed.   [4]  The faster the pace of a runner, the quicker
                                                                                                        the runner finishes.


8.  The equations 5x + 2y = 48 and 3x + 2y = 32 represent the money collected from school concert ticket sales during two class periods.  If x represents the cost for each adult ticket and y represents the cost for each student ticket, what is the cost for each adult ticket?

     [1]  $20                                   [2]  $10                      [3]  $8                        [4]  $4


9.  The data set 5, 6, 7, 8, 9, 9, 9, 10, 12, 14, 17, 18, 19, 19 represents the number of hours spent on the Internet in a week by students in a mathematics class.  Which box-and-whisker plot represents the data?

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


10.  Given:  Set A = {(-2,-1), (-1,0), (1,8)}   and   Set B = {(-3,-4), (-2,-1), (-1,2), (1,8)}
        What is the intersection of sets A and B?

     [1] {(1,8)}                           [3] {(-2,-1), (1,8)}
     [2] {(-2,-1)}                        [4] {(-3,-3), (-2,-1), (-1,2), (-1,0), (1,8)}


11.  Tanya runs diagonally across a rectangular field that has a length of 40 yards and a width of 30 yards, as shown in the diagram.  What is the length of the diagonal, in yards, that Tanya runs?

     [1]  50

     [2]  60
     [3]  70
     [4]  80


12.  A cylindrical container has a diameter of 12 inches and a height of 15 inches, as illustrated in the diagram.  What is the volume of this container to the nearest tenth of a cubic inch?

     [1]  6,785.8

     [2]  4,241.2
     [3]  2,160.0
     [4]  1,696.5


13.  What is an equation for the line that passes through the coordinates (2,0) and (0,3)?

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


14.  Which situation should be analyzed using bivariate data?

     [1]  Ms. Saleem keeps a list of the amount of time her daughter spends on her social studies homework.
     [2]  Mr. Benjamin tries to see if his students' shoe sizes are directly related to their heights.
     [3]  Mr. DeStefan records his customers' best video game scores during the summer.
     [4]  Mr. Chan keeps track of his daughter's algebra grades for the quarter.


15.  An electronics store sells DVD players and cordless telephones.  The store makes a $75 profit on the sale of each DVD player (d) and a $30 profit on the sale of each cordless telephone (c).  The store wants to make a profit of at least $255.00 from its sale of DVD players and cordless phones.  Which inequality describes this situation?

     [1]  75d + 30c < 255                                                   [3]  75d + 30c > 255
     [2]  75d + 30c < 255                                                   [4]  75d + 30c > 255


16.  What is the slope of the line containing the points (3,4) and (-6,10)?
     [1]  1/2                 [2]  2                     [3]  -2/3                     [4]  -3/2


17.  Which type of graph is shown in the diagram?
     [1]  absolute value
     [2]  exponential
     [3]  linear
     [4]  quadratic


18.  The expression   is equivalent to
     [1]                                 [3] 
     [2]                                [4] 


19.  Daniel's Print Shop purchased a new printer for $35,000.  Each year it depreciates (loses value) at a rate of 5%.  What will its approximate value be at the end of the fourth year?
     [1]  $33,250.00                                 [3]  $28,507.72
     [2]  $30,008.13                                 [4]  $27,082.33


20.  Which inequality is represented by this graph?
     [1]  

     [2]  
     [3]      
     [4]  


21.  In triangle MCT, the measure of  angle T = 90 degrees, MC = 85 cm, CT = 84 cm, and TM = 13 cm.
       Which ratio represents the sine of angle C?
     [1]  13/85                 [2]  84/85                    [3]  13/84                      [4]  84/13


22.  The diagram in the box shows the graph of   y = | x - 3 |.  Which diagram shows the graph of  y = -| x - 3 | ?

 

 

    [1]         [3]

    [2]          [4] 


23.  The groundskeeper is replacing the turf on a football field.  His measurements of the field are 130 yard by 60 yards.  The actual measurements are 120 yards by 54 yards.  Which expression represents the relative error in the measurement?
     [1]               [3]  
     [2]                 [4] 


24.  Which value of x is in the solution set of the inequality  -2x + 5 > 17 ?
     [1]  -8                          [2]  -6                           [3]  -4                          [4] 12


25.  What is the quotient of   ?
     [1]         [2]            [3]            [4] 


26.  The length of a rectangular window is 5 feet more than its width, w.  The area of the window is 36 square feet.  Which equation could be used to find the dimensions of the window?
     [1]  w² + 5w + 36 = 0                       [3]  w² - 5w + 36 = 0  
     [2]  w² - 5w  - 36 = 0                        [4]  w² + 5w  - 36 = 0   


27. What is the sum of     expressed in simplest form?
     [1]                                           [3]
     [2]                                            [ 4]


28.  For which value of x is  undefined?
     [1]  -2                         [2]  0                        [3]  3                           [4]  4


29.  Which verbal expression represents 2(n - 6) ?
     [1]  two times n minus six
     [2]  two times six minus n
     [3]  two times the quantity n less than six
     [4]  two times the quantity six less than n


30.  Which graph represents a function?
     [1]                             [3]
     [2]                         [4] 
 

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