Unit 1&2 Review

Miscellaneous I

100

Given:

6/r + 4/r-4 =1

What are the two values of r that are undefined

x=0  and x=4

200

Factor

x³-5x²+3x-15

(x²+3)(x-5)

300

Find the inverse

f(x)=3IxI -1

g(x) = 0.03x²-x+1

find when f(x)=g(x)

x= -0.986

x=0.501

x=11.288

400

Given the function where is the function discontinuous

f(x)= 3x/x²+4x-5

x=1

x=-5

500

What is the largest real number solution to the polynomial?

p(x)=(x-5)(3x+5)(x²-7x+15)

x=5

Miscellaneous II

100

A rectangular piece of cardboard measuring 12 x 10 is being cut to make a box.  Squares are cut from each corner.  What is the volume of the box?

l= 12-2x

w=10-2x

h=x

V= (12-2x)(10-2x)(x)

v=4x³-44x²+120x

200

Solve for x:

3*2^7x=48

x=0.571

300

Solve the following absolute value inequality: 

4|6-2x|+8<24

What is the minimum value for x

x=1

400

Solve and round to the nearest hundredth.

3^2x+3=/3^x+4    (square root of 3 to the x+4 power)

x=-0.67

500

What is the sum of the zero's

m(x)=x³+3x²-2x-4

Sum of zero's =-3

Transformations

100

What is the equation that will move   y=1/x 7 units to the right and 1 unit down?

                   

y=1/(x-7) -1

200

What is the equation that will move   y=|x|

6 units to the right and 2 units down?

y=|x-6|-2

300

What is the equation that will move   y=1/x

8 units to the left and 10 units up?

y=1/(x+8) +10

400

What is the equation that will move   y=|x|

12 units to the left and 7 units down?

y=|x+12|-7

500

What is the equation that will move y=2^x

8 units down

y=2^x-8

Exponential Functions

100

The expression (x+4) is a factor of x²+kx-20. What is the value of k?

k=-1

200

 Solve:

x²+5x-14/x-2= -21

x=-28

300

Find the remainder:

p(x) = x⁵-x⁴+8x²-9x+30 / (x+2)

remainder = 32

400

Solve for x: log base 9 of 27=2x-5

x= 3.25

500

Given the interval (4,10] list the functions from least to greatest:

f(x)=2^x

g(x) =2x

h(x)=x²

g(x)<h(x)<f(x)

Work Rate Functions

100

Anna can paint 5 rooms in 4 hours.  Simon can paint 6 rooms in 5 hours.  How long will it take them to paint 11 rooms together?

4.48 hours

200

Martha can paint 4 rooms in 5 hours. Jamie can paint 7 rooms in 9 hours. How long, to the nearest tenth of an hour, will it take them to paint 14 rooms together?

8.87 Hours

300

Find the area of the rectangle l= (x² +3x +7)  w=(x-2)

x³ +x²+x-14

400

                              -(x+1) -1,              x-1

          h(x) =           (x-1)² +2 ,          -1<x3

                                        1,                x>3

1. h(-5) > h(4)       3. h(-4) < h (-1)

2. h(0) =h(2)         4.  h(-10) = h(7)

2. h(0)=h(2)

500

The Population of WS increases 2% every 10 years. Model an equation to match the scenario

P(t)=P_o(1+.02)^t/10