Math 107 Written Assignment 1

1a. (2 pts) Which of the following represents the distance between 12.4 and –6.9 on the number line?                 Indicate your choice .           

1a. _______   

      A.     | 12.4 |  –  | -6.9 |

      B.     | -6.9 - 12.4|

      C.     | 12.4 - 6.9 |

      D.     | –6.9|  –  | 12.4|

1b. (2 pts) Find the distance.  Show your work.

2. (3 pts) Write the interval notation corresponding to the set notation {x | x  ≥– 4}.   

3. (6 pts) Consider the interval (– ¥, 0]. For each numerical value below, is it in the interval or not?

                (Just answer Yes or No)

            7.1  ´ 10^–3   ________              | –100.1 |     ________                     3⁰       ________

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

8^–1                   ________           –5²                 ________                -6.3´10³       ________  

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

4. (6 pts) Simplify  .  Show work.  Make sure that your final answer has no negative exponents.

5. (10 pts) Simplify    . Show work.   Make sure that your final answer has no negative exponents.

6. (8 pts) Compute   . Show some work. Write the answer using scientific notation.

7. (6 pts. each)  Factor. (Work not required to be shown).

      (a)     

      (b)     

      (c)     

8. (12 pts) Perform the indicated operations and simplify: ² . Show work.

9. (8 pts) Solve the equation   .   Show work.

10. (8 pts) Solve the equation     .  Show work.

11.  (9 pts) Simplify: . Show work

12. (8 pts) Simplify: . Show work. Give the exact answer (including a radical).