Algebra Final Exam

1.      Simplify:  (2x2y3)3

A.  8x6y9                      B. 6x5y6                C. 8xy3             D. 8x5y6

 

2.   Solve:  20 - 7x = -4 + 5x

A.  x = -5                     B. x = -6          C.  y = 6          D. x = 2

 

3.      Solve:  - 12 < 2x – 6 < 4

A. 3 > x >5                  B. 3 < x < 5    C. -3 < x < 5    D.  3x >5

 

4.      Use the distance formula (d = rt) to solve:  A car traveled for 2 hours at a constant speed of 72 Kilometers per hour. How far did the car travel?

A.  36 kilometers.            B.  140 kilometers.            C.  144 kilometers.            D. 4 kilometers.

 

5.      Solve:  3(x – 2) = 18

A.  x = - 4            B.  x = 8          C.  x = 9          D.  x = 4

 

6.      Sketch the lines on the coordinate plain and then use the lines to find the point where they intersect.   x = 6, y = 4

A. (4, 6)                       B. (-6, -4)                   C. (-4, -6)                   D. (6, 4)

 

7.      Solve:  x + 3 < 2(x – 4)                                                                    

A. -11 > x                   B. 11 > x                      C. 11 < x                      D. 11 < y

 

8.      Rewrite in scientific notation:  1,637,000,000

A. 1.637 * 109              B.16.37 * 109              C. .1637 * 1010              D.1637 * 106

 

9.      Solve for r:  A = P + Prt

A.  r=(A-P)/(Pt) B. r = A-P                  C. t = APxy                D. r = APt     

 

10.       A jar contains 12 blue, 8 green, and 5 yellow  marbles.  Without looking at the colors, you choose one marble.  What is the probability that you choose a blue marble?

A. 5/25                        B. 5/4                           C. 12/13               D. 12/25

 

11.      Solve the system using linear combination.  2u + v = 120 and u + 2v = 120            

A. (-40,40)                  B. (5,4)                        C. (60,25)             D. (40,40)

                                               

12.      Approximate the height of an equilateral triangle with 2- inch sides.

A. 1.5                          B. 3                              C. 1.73                                    D.  2.58

13.      In a scatterplot, the if the y values increases as the x values increase, this suggests   which correlation?

A. Positive                    B. Negative                  C. No correlation.        D. Down

 

14.      2x2 - 23 = 51, x = ?

  A. –6.08                      B. 37                            C. 6.08                                    D. 8.6

 

15.      Walking 250 ft. per minute, it takes you 10 min. to get from your home to school. Your uncle’s home is closer to the school than yours. Write an inequality for the distance your uncle lives from school.

A.  x < 2500 ft.            B. x > 2500 ft.              C. x < 25 ft.                 D. x > 25 ft.

 

16.      Find the median:  1,12,15,3,11,8,12,19,4,9,10,13,7

A. 12                           B. 9.538                       C. 19                           D. 10

 

17.      Which are solutions to 3x – y = 2?

F. (3, 1)           G. (1, 2)           H. (-1, -5)        I. (0, -2)

A. H and I                    B. none                        C. F, G, and H             D. all

 

18.      Which, if any, of the ordered pairs are solutions of the inequality?

5x + 4y > 6;  (-2, 4)  (5,5) 

A. none                        B. both                         C. (-2, 4)                     D. (5, 5)

 

19.      Find the slope of the two points and tell whether the line rises from left to right, falls from left to right, is horizontal, of vertical.   (6, 9)  (4, 3)

A. 3, rises                     B. -3, falls                    C. 1/3, horizontal          D. 1/3, vertical

 

20.  Write the slope-intercept equation of the point using the given slope. (4, 3)    m = 2

A. m = 2 b = -5           B. y = 2*4 – 5              C. y = 2x – 5              D. y = 2x + 5

 

21.  Plot the points on the coordinate plane.  (2, 0) (0, 0) (1, -1) (-2, 0) (-3, 3) (-4, 4) (3, 4) (-1, -2) (-1, 2)

A.B.C.D.

22.  Write the slope intercept form of the equation passing through the two points.   (2, 0) (-4, -3)

A. - 2 x + 1                  B. y = 2x - 1    C. y = -½ x – 1                        D. y = ½ x - 1 

23.      Sketch the graph of the linear system.  x + y < 1, -x + y < 1 and y > 1

A.                                     B.                        C.                                D.

          

24.    Subtract the second polynomial from the first.  3x3 – 4x2 + 3; x3 + 3x2 – x – 4

A. 4x3 – x2 – x – 1        B. 2x3 – 7x2 – x – 1      C. 2x-x-1       D. 3x6 – 12x4 – x – 12

 

25.      Use FOIL (x – 3) (3x + 1)

A. 3x2 - 8x - 3              B. 3x2 – 3                     C. –3x + 3x2                D. –3x2 + 8x + 3

 

26.      Multiply. Put the answer in standard form.  3x2(5x – x3 + 2)

A. 3x + 5x – x5 + 2      B. 5x2 – x2 + 22                C. – 3x5 + 15x3 + 6x2   D. x10

 

27.      Multiply  (5x – 6) (5x + 6)

A. 10x – 12                  B. 25x2 + 36                C. 25x – 36                  D. 25x2 – 36

 

28.  Factor out the greatest common monomial factor.  2x2 + 4x3

A. 2x2(1 + 2x)              B. x                              C. 2x2                          D. 4x3             

 

29.   The graph of y = x2 would look like

A.  A linear equation with a positive slope of 1.                               

B.  A linear equation with a negative slope of 1.                                

C.  An inverted parabola with a maximum of (0,0).                               

D.  A parabola with a minimum of (0,0).

 

30.  Factor the perfect square trinomial.  n2 + 24n + 144

A.  prime                      B. n, 24,144                 C. (n + 12)                   D. (n + 12)2

 

Algebra Final Exam Answers

1.      A

2.      D

3.      C

4.      C

5.      B

6.      D

7.      C

8.      A

9.      A

10.  D

11.  D

12.  C

13.  B

14.  C

15.  A

16.  D

17.  A

18.  B

19.  A

20.  C

21.  D

22.  D

23.  A

24.  B

25.  A

26.  C

27.  D

28.  A

29.  D

30.  D

 For the explanations please email me and I will send them as an attachment.