Write the interval notation

Please remember to show ALL of your work on every problem. If there is no work to show, then include a sentence or two explaining your answer.

Here are the basic rules of showing work:

· Each step should show the complete expression or equation rather than a piece of it.

· Each new step should follow logically from the previous step, following rules of algebra.

· Each new step should be beneath the previous step.

· The equal sign, =, should only connect equal numbers or expressions.

NAME: _______________________________ Math 107 Quiz 1 100 pts

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 ≤ – 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 ________ (-10)0 ________ |–0.09| ________

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

-32 ________ (–4) 2 ________ (-1.5) x (4.2)-1 ___________

(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 x. Show work.

11. (9 pts) Simplify: . Show work.

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