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Multiple Choice Practice
Equations and Inequalities
Integrated Algebra Level
Algebra Index | Regents Exam Prep Center

 
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Equations and Inequalities


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.   The larger root of the equation (x + 4)(x - 3) = 0 is
       [1]  -4                      [2]  -3                    [3]  3                    [4]  4
 

 

2.  If 12x = 4(x + 3) then x equals

     [1]  1.5                     [2]  3/8                  [3]  5                     [4]  12/11
 

 

3.  If you multiply an inequality by a negative number, when should you reverse the inequality symbol?

     [1] Always         [2]  Never          [3]  Sometimes       [4]  Only if the negative
                                                                                                              number is a fraction
 

 

4.  Which set of points is in the solution set for the system of inequalities:  x - y > 1 and  y < 2x - 1.

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

 

5.  Solve for c:   5c - 4 - 2c + 1 = 8c + 2

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

 

6.  Solve:   2x - 5 > x - 2

     [1]  x < 3                   [2]  x > 3                [3]  x < -5             [4]  x > -2
 

 

7.  Solve for y:   y - 81 = 0

    [1]  {-1, 1}                  [2]  {9}                  [3]  {-9, 9}           [4]  {81}
 

 

8.  Solve for m:  8(m + 5) = 16

     [1]  11/8                    [2] -11/8                  [3]  3                  [4]  -3
 

 

9.  Solve for x:   0.7x + 2(x - 3) = 0.2x + 3

     [1]  2.5                          [2]  3.5                         [3]  3.6                   [4]  4.5
 

 

10.  Solve for y xy - d = m

     [1] m1           [2]         [3]       [4]
 

 

11.  Solve for aa2 = 36

     [1]  {6}                     [2]  {-6}               [3]  {-6, 6}              [4]  {4, 9}
 

 

12.  Which point is a solution to this linear quadratic system?  y = x2 + 4x +3 and y = 2x + 6  

     [1]  (-3,0)                  [2]  (1,-8)               [3]  (3,0)                 [4]  (0,-3)
 

 

13.  Given  y = 3x,  evaluate y when x = 3.

     [1]  3                         [2]  9                    [3]  27                      [4]  81 
 

 

14.  The graph of y = 2x contains which of these points?

   [1] (0,0)                    [2] (0,1)                  [3] (0,2)                    [4] (1,1)
 

 

15.  Which value of x is in the solution set of the inequality:     -2x + 5 > 17 ?

     [1]  -8                     [2]  -6                    [3]  -4                       [4]  12
 

 

16.  Solve for x:   
 

     [1]  {0}                       [2]  {5}                   [3]  {0,-5}           [4]  {0,5}
 

 

17.  Solve for y:  2y2 + 4 = 9y 

     [1]  {2, 4}                     [2]  {1/2, 2}            [3] {2, 2}            [4]  {1/2, 4}
 

 

18.   Which inequality is represented by the graph at the
        right?

     [1] 

     [2] 

     [3] 

     [4] 

 

19.  The graph of  y = 2x  lies in which Quadrants? 

     [1]  I, II                       [2]  I, III                   [3]  I, IV            [4]  II, III
 

 

20.  Lightning quickly heats the air causing it to expand, which produces the sound of thunder.  Sound travels approximately 1 mile in 5 seconds.  Knowing  D = r t  (where D = distance, r = rate, and t = time), how far away is a thunderstorm when you notice a 3-second delay between the flash of lightning and the sound of thunder? 

     [1]  1 mile away           [3]  3/5 mile away    
     [2]  1/2 mile away          [4]  1/5 mile away
 




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