Alg 3-4 2nd Semester Final Review (25)

Unit 5

100

Find the value of 'k' that makes the equation true. 

(10p^4q^7r^k)/(2p^6q^3r^9)=(5q^4)/(p^2r^6)

3

200

Discribe the discontinuities of the function 

f(x)=(x+4)/(x^2-16)

hole at

x=-4

, vertical asymptote: 

x=4

300

Find the domain and range of the function .

D:{ x>=-2}

R:{f(x)<=-7

400

Solve: 

x-sqrt(x-5)=5

{5, 6}

500

Determine whether

f(x)=2x+1

 and

g(x)=(1/2)x-1

 are inverses.

NO

Unit 6

100

Condense  3logx+(1/2)log4y-logz 

log ((2x^3y^(1/2))/z)

200

If  log_2 64=x , what is x?

6

300

What value of x satisfies the equation  log_x 64=2 ?

8

400

Solve:  

5^(2x)=15

x=0.8413

500

Solve:  

2log_5 x=log_5(2x+3)

{-1, 3}

Unit 7

100

Find the least common denominator: 

5/(6ab^3), (-7)/(2a^2), 9/(4b^2)

12a^2b^3

200

Simplify: 

3/(x+2)-8/(x-2)

(-5x-22)/((x+2)(x-2))

300

Identify the restrictions: 

(x^2+2x-8)/(x^2)times(x^2-3x)/(x^2+x-12)

x cannot be equal to {-4, 0, 3}

400

Solve: 

x/(x+2)+2/(x^2+5x+6)=5/(x+3)

x=4  (x=2 is extraneous)

500

Simplify: 

(x-1)/(2(x+1))

Unit 8

100

The terminal side of an angle measuring

(4pi)/5

 radians lies in Quadrant

II

200

A circle has a radius of 4 inches. In inches, what is the length of the arc intercepted by a central angle of 2 radians?

8

300

In the interval  0 degrees<=x<=90 degrees ,  is undefined when  x  equals

90 degrees

  and 

270 degrees

400

Given the parent function

p(x)=cos(x)

, which phrase best describes transformation used to obtain the graph of

g(x)=cos(x+a)-b

, if  

a

and

b

 are positive constants?

Left

a

 units, down

b

 units

500

• What are the amplitude and the period of the graph represented by the equation
• ?

[RVM1]D

What are the amplitude and the period of the graph represented by the equation  y=-3cos (theta/3) ?

Amplitude: -3; Period: 

6pi

Things that make you go hmmmmmmmmmm....

100

Why do bubbles pop shortly after they are blown?

Dirt in the air

200

True or False: Lightning is hotter that the sun.

True

300

How many elements are listed in the periodic table?

118

400

how many colors are in the rainbow?

seven

500

Does sound travel faster in air or in water?

water