Math 112 Test 3 pts each March 14, 2002

Solve for x:

1. mc(x - a) + mL = ac(x - 2)

2.

3. 3x² - 4x - 2 = 0

4. Find the distance between (2, 4) and (-4 , 5)

5. Find the equation of the circle .

6. Find the center and radius of the circle whose equation is x² + y² - 10x - 4y = 7

7. Find the slope between the points (2 ,3) and

( 4 , -5).

8. Graph the line y = - 1/ 3 x + 6 on an xy plane.

Write the equation for the line that has:

9. slope 2 and y intercept 5

10. slope -1/2 and passes thru the point (-2, 5)

11. has zero slope and passes thru the point (5, -6).

12. Passes thru the points (-2, -3) and ( -1, 5)

13. Perpendicular to y = 3x -4 and thru (4,-3)

Give the domain and range for each of the following.

14.

15.

16.

17.

18. Circle the graphs above that represent functions

19. Circle the equations that represent functions.

a. x² + 3y =4

b. y² = x - 4

c. y = 5

d. x = 6

Find the domain of:

20. y = x² - 3x + 2

21. y =

22. y =

If g(t) = 4 - 3t and G(u) = u - u², find

23. g(4)

24. G(-2) - g(2)

25.