Math 107 Written Assignment 1

Assignment:

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)

 

 7.1x10-3

|-100.1|

30

8-1

-52

-6.3x103

  

 

 

  

4. (6 pts) Simplify 48a-3b2c5 / 6a3b-1c4  .  Show work.  Make sure that your final answer has no negative exponents.

 

 

5. (10 pts) Simplify (- 4m-2n-3) (2mn)3  . Show work.   Make sure that your final answer has no negative exponents.

6. (8 pts) Compute 1.4x10-6 / 9.3x105   . Show some work. Write the answer using scientific notation.

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

 

 

 

     (a)     2x2 – 7x + 3

 

 

 

   (b)     100 –y2

 

(c)     8x3 – 1

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

 

 9. (8 pts) Solve the equation 11 – ( 6x – 3 ) = -2 (2x + 5)   .   Show work.

10. (8 pts) Solve the equation (x -5) x =14.  Show work.

11.  (9 pts) Simplify:  1/ (x +2) – 2/ (x2 +5x + 6 ). Show work.

 

 

12. (8 pts) Simplify √50 - 4√2 + 2√32 . Show work. Give the exact answer (including a radical).