College Algebra

1. Consider the interval [0, ¥). For each numerical value below, is it in the interval or not?

                (Just answer Yes or No)

  5 ^{– 9}  _______      0  _______      | –8.2 | _______    – 7 ² _______         - 3.6 x 10 ⁵  _______      

          (Yes or No)     4           (Yes or No)                        (Yes or No)                (Yes or No)                                 (Yes or No)             

2.  Write the interval notation corresponding to the set notation {x | x  £  -1}.   

3. Perform the indicated operations and simplify:  (8 ^-1 - 10^-1) ^-1   Show work.

4. Perform the indicated operations and simplify:            225 x 5^-2              Show work.

Note: X is a multiplication symbol here, not a variable.    (-9)² x 3^-3

5. Solve the absolute value inequality  |7 – 3x|  ≤ 25.  Show work. Write interval notation for the solution set. 

6.  Solve the absolute value inequality |9x – 4| ³ 14.  Show work. Write interval notation for the solution set.

7. Simplify: √98-  √18 +  √50x²     Show work. Give the exact answer (including a radical).

8. Factor. (Work not required to be shown).

      (a)     16x² – 25

      (b)    5x² – 16x + 12

9. (12 pts) Perform the indicated operations and simplify to get a polynomial:

                 (6x – 1)(3x + 5) – (2x – 9)²            Show work. 

 10.  Solve the equation     x(x - 3) = 4.  Show work.

11. Solve the equation 7 – 3(4 – x) = 5(x + 2).  Show work.

 12.  Simplify: (6x- 1)(3x + 5) –(2x - 9)²  Show work.