Regents Practice TEST 1
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.   Expressed in simplest form,    is equivalent to:
              [1]   8a2                      [2]  3a2                        [3]  3a3                      [4]  3a3c
 



2. 
Which trinomial is equivalent to (3x - 2)(x + 4)?

     [1]  3x2 + 10x + 8               [2]  3x2 - 10x - 8         [3]  3x2 + 10x - 8       [4]  3x2 - 10x + 8
 


3.
 
Which property is illustrated by the equation  (a + b) + c = c + (a + b) ?

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


4. 
Which interval notation is the set of all real numbers that is represented by this graph?
                                                    

     [1]  (-2,5)                             [2]  [-2,5)                    [3]  (-2,5]                    [4]  [-2,5]
 


5.
 
What is the value of  y in the equation   2(3y - 4) = 10 ?

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


6.
 
The accompanying graph shows the high temperatures in Elmira, New York for a 5-day period in January.
 

Which statement describes the data?
[1]  median = mode                [3]  mean < mode
[2]  median = mean                 [4]  mean = mode

 


7. 
What is the slope of the line containing the points (-9,2) and (3,14)?

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


8. 
What is the value of w in the equation      ?

     [1]  2.4                                   [2] -0.2                     [3]  -13.846                [4]  -36


9. 
One of the roots of the equation  x2 + 3x - 18 = 0 is 3.  What is the other root?

     [1]  15                                   [2]  6                         [3]  -6                         [4]  -21
     


10.
 
Which ordered pair is not in the solution set of  y > 2x + 1 ?

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


11. 
What is the sum of and ?

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


12.
 
Given the equations  y = x2 - 4x - 5  and  y + x = -1, one point that satisfies both equations is:

     [1]   (-2,1)                         [2]  (4,-5)                   [3]  (2,-9)                    [4]  (5,0)


13.
 
At Bison High School, there are 16 students in English Club, 16 students in Science Club and 20 students in Math Club.  Of these students, there are 5 students in both the English and Science Clubs; 6 students in both the Science and Math Clubs; and 8 in both the English and Math Clubs.  If only 2 students are in all three clubs, how many students are in at least one of the clubs?

     [1]  52                               [2]  35                         [3]  30                         [4]   20


14. 
In a cup there are 4 quarters, 5 dimes, 6 nickels and 10 pennies.  If one coin is selected at random, what is the probability that the coin has a letter "n" in its name?

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


15. 
In the scatter plot shown at the right, which statement best describes the correlation between the days of the week and the number of bicycles sold?

     [1]  There is a high negative correlation between the days of
                  the week and the number of  bicycles sold.           
     [2]  There is a low negative correlation between the days of
                 the week and the number of bicycles sold.                 
     [3]  There is a high positive correlation between the days of
                 the week and the number of bicycles sold.
     [4]  There is a low positive correlation between the days of
                  the week and the number of bicycles sold.


16.
 
Which graph indicates correctly the graph of the inequality  y > -2x + 1  ?

       [1]                               [3] 

      [2]                            [4]   



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]                    [2]                        [3]                          [4]  


19.
 
For which value of  x  is undefined?

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


20. 
The height, h, of a cylinder is 3 units less than 4 times its radius, r.  Which expression represents the height of the cylinder in terms of its radius?

     [1]  4r + 3              [2]  3 - 4r                   [3]  4r - 3h                        [4]  4r - 3  

 



21.
 
Which graph represents a function?

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


22.
 
The length of a rectangular garden is 3 yards more than its width.  If the area of the garden is 36 square yards, which equation could be used to find the dimensions of the garden?

       [1]   x2 + 3x + 36 = 0                              [3]    x2 - 3x - 36 = 0 

       [2]    x2 - 3x + 36 = 0                             [4]    x2 + 3x - 36 = 0 


23. 
Which expression represents the product of    ?

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


24. 
An LCD panel is used for a computer monitor.  When rounded to the nearest inch, the length of the monitor is 16 inches and the width is 12 inches.  Which of these cannot be the area of the monitor?

     [1]  174 sq. in.              [2]  186 sq. in.             [3]  192 sq. in.              [4]  204 sq. in.


25. 
Trina has a college fund started with a deposit of  $10,000 which earns 5% annually.  If no other monies are deposited, how much money will Trina have in her fund at the end of three years?

     [1]  $11,500                 [2]  $11,576.25           [3]  $15,000                  [4]   $25,000


26. 
A company is designing a cylinder to hold marbles for a new game it is inventing.  The cylinder has a height of 18 inches and a diameter of 6 inches.  Find the volume of the cylinder to the nearest tenth of a cubic inch.

     [1]  108.0                      [2]  508.9                   [3]  678.6                     [4]  1065.92 


27. 
Which point on the accompanying number line best represents the position of ?
                                        

     [1]                              [2]   B                      [3]   C                     [ 4]  D


28.
 
Given the following system of equations, find the value for x in the solution.
                                                        5x - 4y = 28
                                                        3x + y = 44

     [1]  8                         [2]  4                        [3]  12                           [4]   9


29. 
Let  x  and  y  be numbers such that  0 < x < y < 1,  and let  d = x - y.  Which graph could represent the location of  d  on the number line?

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


 
30.  John left his home and walked 3 blocks to his school, as shown in the accompanying graph.  What is one possible interpretation of the section of the graph from point B to point C?

       [1]  John arrived at school and stayed throughout the day.
       [2]  John waited before crossing a busy street.
       [3]  John returned home to get his mathematics homework.
       [4]  John reached the top of a hill and began walking on
                   level ground.

 




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