Math 100    Final Exam 8 points each    May 1, 2003

 

Perform the operations and reduce all fractional answers to lowest terms.  Eliminate all negative exponents.

 

1.         

 

2.  (3x2 - 4x - 3) - (2x2 - 3x - 1)

 

3.  (3x2 +4x -5)(2x2 -3x + 2)

 

4.    Simplify :

8p +  4[3p - 2{3(p - 9) - 4 ( p - 1) }]

 

5.   Evaluate the given expression using

a = -2 , b = 1, and c = -3

2ab - bc2 + 3a3  - (b - c)

 

Solve for x:

 

6.   

 

7. ax + 3x +b = c

 

8.  x3 - 4x2 = 21 x

 

9. 3x3 + x2 = 4(3x + 1)

 

Solve the inequality, give the solution graphically .

 

11.  -6 ²  3(4 -2 x) < 24

 

Factor:

12.  4a - 4b - wa + wb

 

13.  x2 a - b + b x2 - a

 

14.  x4n - x2n - 12

 

Simplify:

15. 

 

16.

 

17. 

 

18. 

 

Simplify the radical expression

 

19.  

 

20.   

 

21.  

 

22.  Change to radical form.

 

a.  3x2

 

b.  (3a2b3)1/5

 

23.  Simplify:

a.  (a2a3 )2

 

c.  - (36) 3/2

 

d.  (41/6)3

 

 

24.  a.   Graph the line satisfying the equation 

            y = 3x + 2

 

 b.  Give the slope and y intercept of the line.

 

25.  a.  Plot the points (3,5) and (3 , -2) on

            an xy plane.

 

b.  Find the slope of the line between the two

     points in a.

 

c.  Plot the two points (1,-3) and ( 5, -3) on

     an xy plane.

 

d.  Find the slope of the line between the two

      points in c.

 

10 Points Bonus  !

 

Simplify: