Multiple Choice Practice - Patterns, Functions, and Relations Integrated Algebra Level Algebra Index | Regents Exam Prep Center

 Also available in Hardcopy (.pdf): Functions

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 statement represents "all numbers between negative 4 and positive 8" ?
[1]  -4 x 8          [2]  -4 < x < 8        [3]  -4 x < 8        [4]  -3 x 7

2.  Which interval notation represents the set of numbers that are greater than or equal to -1, but are less than 9?

[1]  (-1,9]                  [2]  [-1,9]               [3]  (-1,9)              [4]  [-1,9)

3.  Which of the following sets is a subset of {2, 4, 6, 8, 10, 12}?

[1]  {14}                   [2]  {2, 3, 4}          [3]  {4, 8, 12}       [4]  {1, 3, 5}

4.  If the universal set is U = {1², 2², 3², 4², 5², 6²}, what is the complement of the intersection of set A = {2², 4², 6²} and set B = {2², 3², 4²}?

[1]  {2², 4²}               [2]  {1², 5²}            [3]  {1², 5², 6²}      [4] {1², 3², 5², 6²}

5.  In a sophomore class of 80 students, 42 students take Spanish, 24 take French, and 4 students take both Spanish and French. How many students in this class are not enrolled in either Spanish or French?

[1]  18                       [2]   14                   [3]  12                 [4]  10

6.  Given the relation D = {(6,4), (8,-1), (x,7), (-3,-6)}. Which of the following values for x will make relation D a function?

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

7.  Is the relation depicted in the chart below a function?
 x -2 3 -6 4 -7 5 y 3 -6 3 -6 3 -6

[1]  Yes                     [2]  No                   [3]  Cannot be determined

8.  If f (x) = -3x - 5, what is the value of f (2) ?

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

9.  If g (x) = 3x² - 2x - 5, what is the value of g (-1)?

[1] -4                      [2]  -10                    [3]  -6                     [4]  0

10.  Which relation is not a function?

[1]  {(2,5), (3,6), (4,7), (5,8)}                       [2]  {(6,-2), (-4,6), (-2,4), (1,0)}

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

11.  Which graph represents a function?

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

 12.  Which statement is true about the relation shown at the right? [1] It is a function because there exists one y-coordinate for each x-coordinate. [2] It is a function because there exists one x-coordinate for each y-coordinate. [3] It is not a function because there are multiple x-values for a given y-value. [4] It is not a function because there are multiple y-values for a given x-value.

 13. What type of function is shown by the graph at the right? [1]  linear [2]  exponential [3]  quadratic [4]  absolute value

14.
A ball is tossed in the air in such a way that the path of the ball is modeled by the equation
y = -x² + 6x, where y represents the height of the ball in feet and x is the time in seconds. At what time, x, is the ball at its highest point?

[1]  6                         [2]  2                       [3]  3                  [4]  4

15.  Consider the graph of the function At what point will this graph intersect the x-axis?

[1]   (2,0)           [2]   (0,0)       [3]   (1,0)       [4]   Never intersects x-axis.

 16.  Which equation is represented by the graph at the right? [1]  y = x² + 4 [2]  y = (x + 4)² [3]  y = |x| + 4   [4]  y = |x + 4|

17.  An arch is built in the shape of a parabola given by the equation . The base of the arch is determined by the two locations where the equation crosses the x-axis. If each unit on the x-axis represents one foot, how wide is the base of the arch?

[1]  4 feet                   [2]  6 feet               [3]  8 feet            [4]  10 feet

18.  Given sets A = {1, 2, 3, 4, 5, 6}, B = {2, 4, 6, 8} and C = {2, 3, 4, 5}, what is the intersection of the three sets?

[1]  {2, 4}            [2] {2, 3, 4}         [3]  {2, 4, 5}       [4]  {1, 2, 3, 4, 5, 6, 8}

 19.  Which set represents the intersection of sets A, B, and C as shown in the diagram at the right?   [1]  {2, 4, 6} [2]  {2, 3, 4, 6} [3]  {2, 3, 4, 6, 7, 9} [4]  {3}

20.  Which set builder notation describes {-2, -1, 0, 1, 2, 3, 4, 5, 6}?

[1]           [2]
[3]           [4]

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