Multiple Choice Practice
 Variables and Expressions
Algebra 2 Trigonometry Level
 Algebra 2Trig Index | Regents Exam Prep Center

Also available in Hardcopy (.pdf):
Variables and Expressions
 

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.   Assuming values of n for which these expressions are defined, the expression is equivalent to
     [1]                   [2]                  [3]                     [4]   n
 

 

 

2.  The sum   is equivalent to
    [1]  1                         [2]  0                     [3]  -1                    [4] 
 

 

3.  The expression  is equivalent to

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

 

 

4.  The expression is equivalent to
     [1]  3x - 9                 [2]  2x + 6                 [3]  3x                   [4]   
 

 

5.  The fraction    is equivalent to

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



 

 

6.  Factor completely:   a2 + ab + ac + bc

     [1] (a + b)(a + c)        [2]  a(a + b + 2c)       [3] a(a + b + c) + b     [4]  (a - c)(a - b)

 

 

 

7.  Factor completely:  2x2 - 18x - 72  
  [1]  2(x2 - 9x - 36)            [2]  2(x + 3)(x - 12)      [3]  2(x - 3)(x + 12)       [4] -2(x + 3)(x - 12)

 

 

8.   Factor completely:  3m4 - 75

     [1]  3(m2 + 5)(m2 - 5)                              [3]  3(m2 + 5)(m - 2)(m + 3)       
     [2]  3m2(m + 5)(m - 5)                             [4]  3(m2 - 5)2
 

 

9.  Factor completely:  x8 - y4

     [1]  (x4 + y2)(x4 - y2)                                [3]  (x4 + y2)(x2 + y)(x2 - y)
     [2]  (x4 + y2)(x2 - y)(x2 - y)                           [4]  (x2 + y)(x2 + y)(x2 + y)(x2 - y)
 

 

10.  Factor completely:  5x2 - 20

     [1]  (5x - 4)(x + 5)                                 [3]   (5x + 2)(x - 10)               
      [2]  5(x - 1)(x + 4)                                                [4]   5(x - 2)(x + 2)
 

 

11.  The sum of   is

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

 

 

12.  The expression   is equivalent to

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





 

13.  Expressed as a single fraction,    
 
     [1]                           [2]                 [3]                  [4]   





 

14.   In a science experiment, when resistors A and  B are connected in a parallel circuit, the total resistance is .  This complex fraction is equivalent to
       [1]   1                       [2]   A + B                  [3]  AB                        [4] 
                        

 

 

15.  The equation    is true for all rational values of x where x is not equal to

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

 

16.  Factor completely:  6x2 + 19x + 10       

  [1]  (6x + 2)(x + 5)               [2]  (6x + 5)(x + 2)         [3]  (3x + 2)(2x + 5)      [4]  (3x +5)(2x + 2)
 

 

17.  The fraction  is equivalent to  .   (TRUE or FALSE)
     [1]   TRUE                   [2]  FALSE
 

 

18.   The expression    is equivalent to

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

 
19.  Find the domain of the following expression:   

     [1]                       [2]         [3]                  [4]  all x
 

 

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

Algebra 2 Trig Index | Regents Exam Prep Center