Test # 3  Practice    Chapter 11 & 12  

1.find the missing numerators

 

2.Find the sum

 

 

3.  Find the difference

 

 

4. Find the sum

 

 

5.Perform the division

 

 

 

 

6. Describe how the graph of the basic reciprocal function 

 y =  1/x   is

shifted to become the graph  of  f(x -1) =

Name the Vertical Asymptote:

Name the Horizontal Asymptote

 

7.  Determine the domain and range of

Domain:

Range:

8. Solve for x

 

 

 

 

 

9. The number of people watching a baseball game is between 2000 and 4000 write the solution on a

number line

interval notation

set builder notation

 

 

10  Solve & write solution

    | 2x - 3 |  =  9

  

 

 

11Solve using algebra and give solution in interval notation

 3x + 2 >  8   and  3x -1  <  14

 

 

 

 

 

12An object fired from a cannon has a height (h) modeled by

h(x) = -16t2+ 40t where t is the time in seconds since the object was fired. At what times is the object at least 20 meters high?

 

 

 

 

 

13.  A carpenter charges a flat rate of $ 30 plus $ 25 per hour.  If he estimates a certain job to cost $ 2000  to $ 3200.

Write an expression for the cost of the job.

What are the minimum # of hours he will work?

 

What are the maximum # of hours he will work ?

14.  y varies indirectly as the cube of x.

 If y = 4 when x = 2

find the constant of variation        

Find x if y =  .5        

 

15.A boat can travel 24 miles downstream and return the same 24 miles upstream in 6 hours.  The river current is 3 miles per hour.  How fast does this boat move in still water?

a)   Let x  =

b) Set up chart

 

c) set up equation

 

d) Solve equation

 

 

 

e) Answer the question ( label answer)

16.  Suppose a giant sieve for screening sand takes one more hour to empty than it does to fill. It takes 20 hours to fill the sieve when material is allowed to pass through.  How long does it take to fill the sieve when material does not pass through?

a)  Let x =

b) set up chart

 

c) Set up equation

d) Solve equation

 

 

 

e) Answer the question ( label answer)

17 working together two sisters can do the yard work at their house in 45 minutes.  When the older girl does it all herself, she can complete the job in 20 minutes LESS time than it takes the younger girl working alone.  How long does it take the older girl to do the yard work?

Let x =

set up chart

set up equation

solve equation

 

 

answer the question

 

18. Two people plan to share the driving on a road trip. The trip should take less than 8 hours and the distance is at least 360 miles.  One person averages 40 mph and the other averages 60 miles per hour .

a) Let x represent the slower driver's numbers of hours behind the wheel and y represents the faster driver's number of hours. Write a system of inequalities in two variables to represent this problem.

b) Graph the inequalities and shade the region that represents the solution set.

c) Determine whether driving times of 4.5 hours for the slower and 3 hours for the faster driver are in the solution set. explain why.

 

19. If the revenue in dollars is given by   - 6.8 x2   +  400x    where x is the price of the product in dollars.  What price will generate a revenue   above 

       $ 2500?  Interval  notation correct to the nearest tenth.

 

20.   The common log of a number is the exponent to which _________ must be raised in order to give that number.

the common log y = log x and the function y = 10x are  _________________of each other

the strength of earthquakes is found by using the  _____________________scale.

solve: log ( 1/100) = x     and   10 4x-1 = 1000      Find exact solution of   4 log x = 6      and   4 log x = 24