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

August 31, 2017

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

3.5 ´ 10− 7 ________ 7–1 ________ –22 ________

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

.gif”> ________ | –1.8 | ________ –5.2 ´104 ________

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

2. Write the interval notation corresponding to the set notation {x| x ≤ −5}.

3. Which of the following represents the distance between –8.9 and –6.3 on the number line? Indicate your choice and show work by calculating the numerical value. 1. _______

A. | –8.9| + | –6.3|

B. | –8.9 – 6.3 |

C. | –8.9 + 6.3 |

D. | 8.9 + 6.3|

4. Simplify.gif”> . Show work.

5. Simplify .gif”> . Show work.

6. Compute .gif”> .Show some work. Write the answer using scientific notation.

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

(a) 21×2 + 8x– 5

(b) 25×2 – 81

(c) 27×3 – 1

8. Perform the indicated operations and simplify: (5x – 2)(4x – 3) – (3x – 4)2 . Show work.

9. Solve the equation x(x – 8) = 9. Show work.

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

11. Simplify: .gif”> . Show work.

12. Simplify: .gif”> . Show work. Give the exact answer (including a radical).

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