Show all work for credit. Do all your work neatly on the paper provided. Write your name on each sheet you turn in. I will not grade any work done on the test sheet. When you are finished turn in all sheets including the test. Good Luck.

1. Solve for x. 5+ax = 12-bx

2. The sum of three consecutive natural numbers is 804. Find the numbers.

3. Solve the following equations:

   1. 6x-7Öx-3 = 0

   2. [(5x+4)/( 5x-4)] = ³/₂

   3. 2x²-x-1 = 0

   4. 11x²-33x = 0

   5. x³+2x²-4x-8 = 0

   6. 2x-3 = 3(4-3x)

   7. x⁴+x²-2 = 0

   8. x⁴ = x²

4. Write a quadratic equation whose solutions are x = -1 and x = 3.

5. (4 points) Determine whether the following values of x are solutions of the inequality

   x+1 < [2x/ 3].

       (a) x = -3   (b) x = 0   (c) x = -4   (d) x = 4

6. Solve the following inequalities (write all answers using interval notation):

   1. 0 £ [(x+3)/ 2] < 5

   2. |x+10| ³ 9

   3. |5-2x| < -3

   4. (x+5)(x-1)(x-7) £ 0

   5. [(5+7x)/( 1+2x)] £ 4

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