| 1.find the missing numerators
xy2 |
2.Find the sum
(3x2 + 20y)/4x2y
|
| 3. Find the difference
(x+4)/(x2-7x+12) |
4. Find the sum
(6x+17)/(x2+5x+6) |
| 5.Perform the division
(-x2 + 6x)/(x+5)
|
6. Describe how the graph of the basic reciprocal
function y = f(x) = 1/x is
shifted to become the graph f(x-1)
shifts one unit to the right V.A. is x = 1
H. A. is y = 0
|
| 7. Determine the domain and range of
Domain: (-infinity, 0) or (0, +
infinity)
Range: (-infinity, 2) or ( 2, + infinity) |
8. Solve for x
x = 1 and x = -8/3
|
| 9. The number of people watching a baseball game is between
2000 and 4000 write the solution on a
number line
interval notation (2000,4000)
set builder notation {x|2000<x<4000}
|
10 Solve & write solution | 2x - 3 | = 9 x
= -3 or x = 6
x > -18
|
| 11Solve using algebra and give solution in interval notation
3 x + 2 > 8 and
3 x - 1 < 14
(2, 5 ) |
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?
between .7 and 1.8 seconds
|
| 13. A carpenter charges a flat rate
of $ 30 plus $ 25 per hour. If he estimates a certain job to cost $
2000 to $ 3200. let x = hours worked
Write an expression for the cost of the job:. 30 + 25 x
What are the minimum # of hours he will work? 80
hours
What are the maximum # of hours he will work ? 126 hours |
14. y varies indirectly as the cube
of x.
If y = 4 when x = 2
find the constant of variation
a = 32
Find x if y = .5
x = 4 |
| 15.A boat can travel 24 miles downstream and return
upstream in 6 hours. The river current is 3 miles per hour.
How fast does this boat move in still water?( 2 pts each)
a) Let x =speed of the boat
b) Set up chart
c) set up equation
d) Solve equation
e) Answer the question ( label answer)9 miles per hour
|
| 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 =time to fill
(in) x+1 is time to empty (out)
b) set up chart
c) Set up equation Rate in - rate out = combined rate
d) Solve equation
e) Answer the question ( label answer)4 hours |
| 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 = time for younger girl alone
set up chart
set up equation work rate alone + work
rate alone = work rate together
solve equation
answer the question .
approximately 81 minutes |
| 18.Two people
plan to share the driving on a road trip, trip takes less than 8 hours and
the distance is at least 360 miles. One person averages 60mph and the other
averages 40 mph.
a) let x represent the slower drives number of hours
behind the wheel, and y represent the faster driver's hours behind the
wheel.
write a system of inequalities: x + y < 8 ;
40x + 60 y > 360 ; solve these for y and create the graph.
|
| 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. (
7.2, 51.3) |
|
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
x = -2
x = 1
x = 101.5
x = 1000000 |