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Multiple Choice Practice - Variables and Expressions
Integrated Algebra Level
Algebra 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 your graphing calculator when working on these problems.

1.   If a and b are both odd integers, which of the following MUST also be an odd integer?
       [1]  a + b                 [2]  a - b                [3]  ab                 [4]  a/b
 

 

2.  The expression (3c - 3d) - (c - 3d) when simplified is

     [1]  2c - 6d              [2]  2c               [3]  4c - 6                [4]  4c
 

 

3.  If the square root of x is greater than x, then x could be

     [1]  0                        [2]  1/2                  [3]   2                   [4]  4
 

 

4.  If  3x2 - 7y + 6 is subtracted from 4x2 - 3y + 4, the result is

     [1]  7x2 - 10y + 10       [2]  x2 - 10y - 2     [3]  x2 + 4y - 2       [4]  -x2 - 4y + 2
 

 

5. 

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

 

6.  If n - 5 is an even integer, what is the next larger consecutive even integer

     [1]  n - 7                   [2]  n - 3                [3]  n - 4               [4]  n + 2
 

 

7.  Find the sum of  3x2 + x + 8  and  x2 - 9.

    [1]  4x2 + x - 1            [2]  4x2 + x - 17     [3]  4x4 + x - 1       [4]  3x4 + x - 1
 

 

8.  The expression (4a + 2b) - (2a - 3b) - (a - b) when simplified is

     [1]  6a + 6b                  [2] a + 6b                  [3] -2b                  [4]  6b
 

 

9.  The Pentagon building in Washington, D.C., is shaped like a regular pentagon. If the length of one side of the Pentagon is represented by n + 2, its perimeter would be represented by

     [1]  10n                        [2]  n + 10                   [3]  5n + 2              [4]  5n + 10
 

 

10.  The expression (5x + 6y) - (7x - 2y) + (x - 2y) when simplified is

     [1]  -x + 6y                [2]  x + 6             [3]  13x - 2y            [4] 13x + 10y
 

 

11.  Which expression represents "eight less than the product of five and a number"?

     [1]  8 - 5n                 [2]  8 - 5 + n          [3]  8 - (5 + n)        [4]  5n - 8
 

 

12.  Find the missing terms:  (x2 + 8x + __) - (___+ 7x + 4)  = -3x2 + x + 11  

     [1]  5; 4x2                  [2]  15; 4x2            [3]  15; -2x2            [4]  -15; -2x2
 

 

13.  (x + 4)2 =

     [1] x2 + 16                 [2]  x2 + 4x + 16      [3]  x2 + 8x + 16    [4]  x2 + 4x + 8 
 

 

14.  (x + 1)(x2 + 2x +1) =

   [1] x3 + 2x2 +x + 1      [2] x3 + 3x2 + 3x + 1   [3] x3 + 3x2 + x + 1 [4] x2 + 2x + 2
 

 

15.  The side of a cube is represented by 2x - 1.  Find, in terms of x, the volume of the cube.

     [1]  8x3 - 12x2 + 6x - 1           [3]  8x3 - 1     
     [2]  4x2 - 4x + 1       [4]  8x3 - 12x2 - 6x - 1
 

 

16.   =

     [1]  5                         [2]  x - 5                  [3]  5               [4]  x + 5
 

 

17.  For what value of x is this expression undefined? 

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

 

18.  =

     [1]  4d - 8                   [2]  d + 8                  [3]  d - 8             [4]  d + 9
 

 

19.  Solve for x 

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

 

20.  Factor:  25x6 - 121y4

     [1]  55(x3 - y2)(x3 + y2             [3] (5x3 - 11y2)(5x3 + 11y2      
     [2]  (5x3 - 11y2)(5x3 - 11y2           [4]  (5x3 + 11y2)(5x3 + 11y2      
 




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