# MATH 107 Quiz 1

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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.

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