Multiple Choice Practice
 Patterns, Functions & Relations
Algebra 2 Trigonometry Level
 Algebra 2Trig Index | Regents Exam Prep Center

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Patterns, Functions & Relations
 

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 a calculator when working on these problems.

1.   If f (x) = x2 + 2x + 5 and g(x) = x - 1, then f (g(x)) is
       [1]  x2 + 3x + 4        [2]  x2 + 4               [3]  x2 + 4x - 1           [4]  x2 - 1
 

 

2.  For which value of x is  f (x) = -65  given  f (x) = -3x2 - 2x ?

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

 

3.  The fourth term in the recursive sequence  a1 = 3,  an = an-1 - n  is

     [1] 0                       [2]  -2                   [3]  -4                      [4]  -6
 

 

4.  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)} 
 

 

5.  Which graph is not a function?

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

 

 

6.  If the domain of f (x) = 2x + 1 is {-2 < x < 3}, which integer is not in the range? 

     [1]  -4                     [2]  -2                    [3]  0                [4]  7

 

 

7.  If  f (x) = x2 + 4 and , what is the value of f (g(-3))?

    [1]  13                            [2]  8                      [3]  2                   [4] 
 

 

8.   Which equation does not represent a function?

     [1]  y = 2x                 [2]  y = x2 + 10         [3]  y = 10/x        [4]  x2 + y2 = 95
 

 

9.  What is the inverse of the function  y = 2x - 3 ?

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

 

10.  What is the third term in the expansion of  (3x - 2)5  ?

     [1]  1,080x2                  [2]  270x3           [3]  540x3                [4]  1,080x3
 

 

11.  The strength of a medication over time is represented by the equation  y = 200(1.5)-x, where x represents the number of hours since the medication was taken and y represents the number of micrograms per millimeter left in the blood.  Which graph best represents this relationship?

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

               

 

 

12.  Which term of the arithmetic sequence  2, 9, 16, ...  is the number 142?

     [1]  14                         [2]   19                  [3]  21                      [4]  23
 

 

 

13.  The sum of the first 10 terms of the arithmetic sequence  -1, 2, 5, 8, ...   is  
     [1]  26                        [2]  99                     [3]  125                      [4]  154 

 


 

14.   The 7th term of the geometric sequence    is
       [1]   -48                  [2]   192                 [3]  3072                         [4]  -12288
                        

 

 

15.  Given   ,  find  .

     [1]  -5/3                     [2]  -5/18                [3]   -18/5                  [4]  -3/5
 

 

16.  The graph shown below, on the left, represents the equation y = f (x).  What of the choices represents
        g(x) if g(x) = -f (x) ?
      [1]                                          [2]            
[3]                                            [4]             
 

 

17.  What is the value of  ?

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

 

18.   The function  f (x) = 3x - 7 is
     [1]  one-to-one, but not onto
     [2]  onto, but not one-to-one
     [3]  both one-to-one and onto
     [4]  neither one-to-one nor onto
 

19.  The fifth term of a geometric sequence is  -2  and the seventh term is -8.  The first term is
     [1]  1                      [2]  -1/4                    [3]  1/8                  [4]  -1/8
 

 

20.  The range of the function   f (x) = (x + 6)2  is

     [1]  All Reals           [3]   [-6, ∞)    
     [2]  [6, ∞)          [4]   [0, ∞)
 

Algebra 2 Trig Index | Regents Exam Prep Center