Math012 7982 Final Exam Fall 2018

Question # 00713063 Posted By: rey_writer Updated on: 12/16/2018 12:56 PM Due on: 12/16/2018
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Math 012 7982 Final Exam Fall 2018                                                                                                          ID: 32

 

Solve each equation.                                                                                                     

1) 4m - 2(m + 4) = -2(2m + 1)       17                           6                              5             

                2) -                         = -                           n +                          n

                                                                7                              3             

                21                                                                          

 

 

 

 

 

 

 

 

Solve each inequality, write its solution set in interval notation, and graph the solution set on a number line.

 

3) -8 + 2(3m + 3) ³ 2(m + 1)           1              1              5

4)            2                              - 3                           b ³ -       

                                                                                               

                2              3              2

 

 

 

 

 

 

 

 

Solve each compound inequality, write its solution set in interval notation, and graph the solution set on a number line.

 

5) -8 < 2r - 6 £ 6  21           3              9

                6)                            < -                           v <         

                                                                                               

                8              2              2

 

 

 

 

 

 

 

 

Write the equation of the line described in standard form, Ax + By = C, where A, B, and C are integers.

 

2

7) through: (2, -1), perpendicular to y = x + 4

 

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©            2  0  1  8 K  u t a   S o f t w a  r  e    L L C .     A l l         r  i g  h  t s             r e  s e  r  v e-d1.-              M  a d  e               w  i  t h             I n f i n  i  t  e       A l  g e b r a         1  .

 

 

Rewrite the equation in slope-intercept form and then use the slope and y-intercept to sketch a graph of the line with the given equation.

 

8)            3x - 4 y = 8

 

 

 

 

 

 

 

 

Show all work as you solve the linear modeling problem below.

 

9)            The Environmental Protection Agency lists among its "Climate Change Indicators" the increase in severity of wildfires in the U.S. over time. In 1996, the total area burned by wildfires was 6.1 million acres. In 2012, the total area burned by wildfires was 9.3 million acres. Write a linear equation in slope-intercept form that models this growth. Let x stand for the number of years after 1996 and let y stand for the total area burned by wildfires in millions of acres.

 

 

 

 

 

 

Simplify. Your answer should contain only positive exponents.

 

10) x4 × 3 y2 × 4x3 y2      3uv2 × -3u4v2

11) -

 

2v-4

 

 

 

 

 

12) (-4x4 y-2)2   13) -2x-3 × (- yx2)5 × 2x-2 y2

 

 

 

 

 

 

Perform the indicated operation and simplify.

 

14)          (x - 4x2 + 4) - (7x2 - 6x4 - 6)

 

 

 

 

 

 

Multiply as indicated and simplify.

 

15)          (x - 3)(2x2 - 6x + 4)

 

 

 

 

 

 

 

 

 

 

©   2 0 1  8   K u  t  a   S  o  f t w a  r e          L L           C  .    A l  l              r i g h t s                e             M  a  d e   w i t  h   I n  f  i n  i t e    A l g e b r  a   1 .

                                                                r e  s  e  r  v-2-d .              

 

 

Solve the equation by factoring.

 

16)          3b2 - 13b = -12

 

 

 

 

 

 

Solve the equation by completing the square.

 

17)          b2 + 18b - 124 = -5

 

 

 

 

 

 

Solve the equation by use of the quadratic formula.

 

18)          4x2 - 4x = 5

 

 

 

 

 

 

State the excluded values for the following expression. Then simplify the expression.

 

 

19)

 

 

r2 + 3r - 18

 

r2 - 9r + 18

 

 

 

 

 

 

 

Solve the equation and show the check of the potential answer(s). If any answers are excluded values, state this on your answer sheet.

 

20)          k - 1        1              3

                                +                             =            

                3k2 - 15k                              k3 - 5k2                 k3 - 5k2

 

 

 

 

 

 

Simplify the radical expressions.              

21)   18x3y4z       22) (-3  3 - 1)(5  3 + 2)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

©2 0 1  8K u t a  S o  f t w  a r e    L L C  .    A  l  l       r i g h t s  r e s  e  r v e  d M a d e   w i t  h I n f i  n  i t e  A l g e b r a 1 .

                                                                -3- .                                       

 

 

Solve the equation and show the check of the potential answer(s). If any answers are extraneous solutions, state this on your answer sheet.

 

 

23)          4m + 8 = m + 3

 

 

 

 

 

 

Show all work as you solve the following problems and write complete answers, including appropriate units.

 

24)          Christopher left the mall and traveled toward the beach. Two hours later Nicole left the mall traveling 15 km/h faster in an effort to

 

catch up to him. After four hours Nicole finally caught up. Find Christopher's average speed.

 

 

 

 

 

 

25)          Madeline put $64,000 in an education account on the day her son was born. If the account earned 4.85% interest compounded quarterly, what was the total in the account when her son turned 18? Round the final answer to the nearest cent.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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  1. Tutorial # 00713413 Posted By: rey_writer Posted on: 12/16/2018 12:58 PM
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