College Algebra

8/14 OL1

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

(Just answer Yes or No)

5 – 9 _______ _______ | –8.2 | _______ – 7 2 _______ 3.6 10 5 _______

(Yes or No) (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 1 101) 1 . Show work.

4. Perform the indicated operations and simplify: Show work.

Note: is a multiplication symbol here, not a variable.

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| 14. Show work. Write interval notation for the solution set.

7. Simplify: 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. 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. (8 pts) Solve the equation 7 – 3(4 – x) = 5(x + 2). Show work.

12. Simplify: . Show work.