Name: ______ Algebra II Chapter 8 Take Home Exam Directions ...

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Algebra II. Chapter 8. Take Home Exam. Directions: This paper is to be the cover page of your exam. All questions are to be answered on separate paper and ...
Name: ___________ Algebra II Chapter 8 Take Home Exam Directions: This paper is to be the cover page of your exam. All questions are to be answered on separate paper and stapled to this cover page prior to your arrival in class on Tuesday. You must explain in English how you are solving each question in addition to doing the math. All work submitted must be your own. You may use your book and your notes, but you may not get assistance from any person other than Mr. Slosberg (eMail: [email protected]) during the course of this examination. It is intended that you spend 3 hours on this exam. That includes time spent solving each question as well as time spent writing each question up explaining each step in a logical fashion. Chapter 8 Questions 1)

x 2 − 7x + 12 x2 − 9 What is the quotient of 2 ÷ ? x − x −12 x 2 − 2x −15

2)

x2 − 9 x 2 + 7x − 8 What is the product of 2 • 2 ? x + 11x + 24 x − 4x + 3 €

3)

x 2 + 10x −11 x 2 + 9x − 22 What is the quotient of ÷ 2 ? x 2 + 6x + 5 x + 3x − 10 €

4)

x 4 − 16 x 3 + 2x 2 + 4 x + 8 What is the quotient of 2 ÷ ? x − 2x 7x €

5)

x−2 x+3 Find the difference of − . x + 3 x − 2 €

6)

2x 3x Find the sum of + . x − 7 x + 5 €

7)

2x 3x Find the difference of − . x + 3 x −5 €

8)

Solve



x−5 x−8 = . x + 1 x −€5

Algebra II Chapter 8 Take Home Test 9)

Solve

5x − 3 15x + 1 = . 2x + 4 6x − 7

10)

Solve

x + 3 x + 14 3x − 2 + = . x − 2 x + 2 x2 − 4

€ 11)

Evaluate €

12) 13)

7

21

(x )

1 3

.

 7 15  35 Evaluate  a  .   € 1

Evaluate (81x 6 ) 2 . €

Review Questions 14)

€ Solve for x in the inequality 3x + 9 > 15 and graph it on a number line.

15)

 7z 4 −2 Simplify  2  . x 



16) What is the function f ( x ) = 3 x translated 5 units to the left and up 2 units? € (no work required) 17)

€ of equations 3x + 4 y = 16 . Solve the system 2x + 4 y = 12

18)

Solve by factoring x 2 + 6x − 7 = 0 .

€ Find the value of v if −3 = log5 v . (explanation required if no work) € 20) Factor x 3 − 8. (no work required) This is a TAKE HOME € TEST. All work done on this exam is my own. I have used no outside assistance other than my book, notes, and calculator. I have € not asked any human being other than Mr. Slosberg (eMail: [email protected]) for any assistance on this exam. Signed, 19)