Test # 3 Practice Chapter 11 & 12
| 1.find the missing numerators
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2.Find the sum
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| 3. Find the difference
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4. Find the sum
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| 5.Perform the division
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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
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| 7. Determine the domain and range of
Domain: Range: |
8. Solve for x
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| 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
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10 Solve & write solution
| 2x - 3 | = 9
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| 11Solve using algebra and give solution in interval notation
3x + 2 > 8 and 3x -1 < 14
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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?
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| 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
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| 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 .
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| 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.
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| 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.
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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
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