Regents Practice TEST 1
Interactive Version - Multiple Choice

Algebra 2 and Trigonometry
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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 function is not one-to-one?
      [1] {(0,1), (1,2), (2,3), (3,4)}  
      [2] {(0,0), (1,1), (2,2), (3,3)} 
      [3] {(0,1), (1,0), (2,3), (3,2)} 
      [4] {(0,1), (1,0), (2,0), (3,2)}
 
 


2. 

     [1]  -13                             [2]  3.5                        [3]  3                       [4]  6
 


3.
 
The expression cos 4x cos 3x + sin 4x sin 3x is equivalent to

     [1]  sin                           [2]  sin 7                    [3]  cos x              [4] cos 7x  
 


4. 
A survey completed at a large university asked 2,000 students to estimate the average number of hours they spend studying each week.  Every tenth student entering the library was surveyed.  The data showed that the mean number of hours that students spend studying was 15.7 per week.  Which characteristic of the survey could create a bias in the results?

     [1]  the size of the sample
     [2]  the size of the population
     [3]  the method of analyzing the data
     [4]  the method of choosing the students who were surveyed
 


5.
 

     [1]  -40 + 0i                      [2]   -40 - 42       [3]  58 + 0          [4]  58 - 42i
 


6.
 
The lengths of 100 pipes have a normal distribution with a mean of 102.4 inches and a standard deviation of 0.2 inch. If one of the pipes measures exactly 102.1 inches, its length lies

     [1]  below the 16th percentile
     [2]  between the 16th and 50thpercentiles
     [3]  between the 50thand 84thpercentiles
     [4]  above the 84thpercentile
 


7. 
Which graph represents the solution set of  |6x − 7| ≤5?

  [1]     [3]
  [2]      [4] 


8. 
Which formula can be used to determine the total number of different eight-letter arrangements that can be formed using the letters in the word DEADLINE?

     [1]  8!                            [2]                         [3]              [4] 


9. 
What are the values of θ in the interval 0° ≤ θ < 360° that satisfy the equation ?

     [1]   60°, 240°                             [3]   72°, 108°, 252°, 288°
     [2]   72°, 252°                            [4]   60°, 120°, 240°, 300°


10.
 
For which equation does the sum of the roots equal and the product of the roots equal 2?

     [1]  4x2 8x + 3 = 0                           [3]  4x2 3x 8 = 0
     [2]  4x2 + 8x + 3 = 0                           [4]  4x2 + 3x 2 = 0


11. 
The table below shows the first-quarter averages for Mr. Harper’s statistics class.  What is the population variance for this set of data?

     [1]  8.2

     [2]  8.3
     [3]  67.3
     [4]  69.3


12.
 
The equation y 2 sin θ = 3 may be rewritten as

     [1]   f (y) = 2 sin x + 3

 

     [2]   f (y) = 2 sin θ + 3
     [3]   f (x) = 2 sin θ + 3
     [4]  f (θ) = 2 sin θ + 3


13.
 

     [1]  52                              [3]   90
     [2]  78                              [4]   156


14. 
The expression log 8 64 is equivalent to

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


15. 
The expression is equivalent to

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


16.
 
Factored completely, the expression 6x x3 x2  is equivalent to

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


17. 
The expression    is equivalent to

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


18.
 
What is the fourth term in the expansion of (3x 2)5?

     [1]  720x                                     [3]  720x2
     [2]  240x                                       [4]  1,080x3


19.
 
Which graph does not represent a function?

     [1]              [3] 

 

     [2]                 [4] 


20. 
The value of the expression is

     [1]  12                  [2]  22                      [3]  24                          [4]   26  


21.
 
What is the solution of the equation 2 log 4 (5x) = 3?

     [1]  6.4                [2]  2.56                   [3]  9/5                    [4]   8/5


22.
 
The graph below shows the function f (x).  Which graph represents the function f (x + 2)?

 

 

    [1] [3]

 

    [2]     [4] 


23. 
If a function is defined by the equation f (x) = 4x, which graph represents the inverse of this function?

     [1]                [3]    

 

     [2]                 [4] 


24. 
A circle has a radius of 4 inches.  In inches, what is the length of the arc intercepted by a central angle of 2 radians?

     [1]                            [2]  2                           [3]                            [4]   8


25. 
What is the domain of the function ?

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


26. 
Which graph represents the equation  y = cos1 x?

     [1]        [3]   

 

     [2]       [4]     


27. 
Written in simplest form, the expression is equivalent to

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

 




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