2ND G

RADING P

ERIOD

DISTR

ICT

ASSESSMENT

QUESTIONS

F AL L

20

12

 ALGEBRA II GP2 DISTRICT ASSESSMENT SPRING 2010-11 

1. If      and   , then g( h(2) ) = ? 

A.10

B.17

C.23

D.350

2. Find the fifth term of: 

F.

G.

H.

J.

3. How many ways can a committee of 5 teachers be selected from a group of 12 teachers?

 

A. 60

B. 792

C. 5040

D. 3,991,680

6. The graph of  is a hyperbola.  Which set of equations represents the asymptotes of the hyperbola's graph? 

F.

G.

H.

J.

12. The amount of substance initially present was 400 grams, and after 90 hours only 380 grams remained.  Assuming exponential decay, which is closest to the half-life of the substance. 

F. -0.00057 hours

G.3.95 hours

H.137 hours

J.1216 hours

16.

Which of the following is equivalent to  ? 

F.

G.

H.

J.

7. Given:               Are  and  inverse functions?  Justify your answer.

 

A. Yes, because

B. Yes, because .

C. No, because

D. No, because

23. Solve for x: 

 

A. x = -2

B. x = 1

C.

D. No solution

8. Georgette used the following steps to solve the equation for x:    Step 1:  Step 2:  Step 3:  Step 4:   In which step does Georgette's mistake first appear? 

F. Step 1

G. Step 2

H. Step 3

J. There is no mistake.

13.

A.

B.

C.

D.

The number of bacteria present at noon was 400, and 9 hours later the bacteria numbered 800.  Assuming exponential growth, which of the following is closest to the number of bacteria present at noon the next day. 

F.0.077

G.806

H.2,539

J.295,680

What is the real value of x in the equation ? 

A.2

B.3

C.8

D.21

12. The amount of substance initially present was 400 grams, and after 90 hours only 380 grams remained.  Assuming exponential decay, which is closest to the half-life of the substance.

 

F. -0.00057 hours

G. 3.95 hours

H. 137 hours

J. 1216 hours

26. For the 2 functions, f(x) and g(x), tables of values are shown below.  What is the value of g( f(3) )?  

F. -5

G. -3

H. -1

J. 7

Find the approximate value of:          

 

F. 4.58

G. 5.32

H. 8.13

J. 20.0

Which  is equal to ?

 

F. 1

G. x

H.

J. 5x

21. What is the real value of x in the equation ?

 

A. 2

B. 3

C. 8

D. 21

25. A teacher needs to arrange 5 science fair winners in 5 chairs for a picture.  How many different ways can the students be arranged in the chairs for pictures?

A. 5

B. 15

C. 120

D. 125