# MATH 107 Quiz 1 Recent

__MATH 107 Quiz 1 Recent__

**1a. (2 pts) Which of the following represents the distance between 12.4 and – 6.9 on the number line? Indicate your choice .
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)
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 (1.40×〖 10〗^(-6))/( 9.3 × 〖10〗^5 ) . Show some work. Write the answer using scientific notation.
7. (6 pts. each) Factor. (Work not required to be shown).
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).
13. The Point (0, 1) is on a circle that has center (-3, 5) find the length of the diameter of the circle.**