Math 112 Final Exam 12 points each May 3, 2005

Solve for x:

1. 5x + (3x - 4 ) + 2 = 5 - 2(3x + 2)

2. x² - x - 2 = 0

3. x² -4x = 6

4. 3^{2x + 3} = 8^{3x - 4}

6. log₂(x + 1) + log₂(x - 1) = 3

7. Solve for d

a_n = a₁ + (n-1)d

Solve the system of equations

8. 2x - y = 16

x + 3y = 1

9. Solve the linear inequality. Put the answer in Interval notation.

6 ≥ 2(1 - 3x) > 0

10. Graph the circle whose equation is

x² + y² + 20x - 12y - 8 = 0.

Graph the line using the given point and slope.

11. Point = (-2, 4) , slope =undefined

Write the equation of the line thru the given point with the given slope.

12. Point = (-1, 3) , slope = 8

Graph parabolas and Find vertex, axis of symmetry, max or min value.

13. f(x) = 3x² + 30 x + 80

Find f^-1 for this function.

14.