Consider the interval [0, ¥). For each numerical value below, is it in the interval or not?

1. Consider the interval [0, ¥). For each numerical value below, is it in the interval or not?

(Just answer Yes or No)

 

2.5  ´ 10 ^{− 6}    ________                             4 ^–1        ________                       –4 ²     ________

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

 

 

             ________                     | –1.6 |      ________                    –5.2 ´10 ³      ________

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

 

2. Write the interval notation corresponding to the set notation {x | x ≤ -9}

 

 

 

 

3. Simplify . Show work.

 

 

4. Compute . Show some work. Write the answer using scientific notation.

 

 

 

 

5. Factor. (Work not required to be shown).

 

21x² + 8x – 5

 

 

6. Perform the indicated operations and simplify: (3x –  2)(6x – 3) – (2x – 4)² . Show work.

 

 

 

 

 

7. Solve the equation x(x – 6) = -9. Show work.

 

 

 

8. Solve the equation 7(x – 1) = 9 – 2(6 – x). Show work.

 

 

 

9. Simplify: . Show work.

 

 

 

 

 

 

 

 

 

 

 

 

10. Simplify: . Show work. Give the exact answer (including a radical).