Math 112       Test 2    10 points each        Oct 5, 2000

 


 

1.  Using a, b, k, and x as indicated on the number line below, write the following without absolute value bars.

a.  | x + k | =

b.  | x - k | =

c.  | b - a | =

 

Solve for x, express the solution any way you please.

2.  | 3 - 2x | ²  -3

 

3.  | 4 x - 2 | >  -3

 

4. 

 

5.  Find the center and radius, and graph: 

 

           x2 + y2 -  8x  +  6y  + 8 = 0

 

6.    Find the equation of the circle below.

 

 

7.  Find the slope  and y intercept of the line

            x + 2y = 8

 

8.   Write the equation of a line :

a. with slope 3 and y intercept -2.

b.  thru (4, -3) with slope 5

 

 

9.    If f(x) = 2 -  3x2 , find

 

 

10.  If f(x) = x2 + 3x,  g(x) = x - 2, find:

a.  f(-1)

b.  f(x) g(x)

c.  f(g(x))

d.  f(g(3))