CR Review 2012 - LSHS

CR Review 2012
December 14, 2012
Chapter 0 Test
19. Water Temperature. Most fish can adjust to a
change in the water temperature of up to 15 degrees F
if the change is not sudden. Suppose a lake trout is
living comfortably in water that is 58 degrees F.
Write an absolute value inequality that represents the
range of temperatures at which the lake trout can
survive.
21. Amusement Park Rates. The admission rates at an
amusement park are as follows.
• Children 5 years old and under: free
• Children over 5 years and up to (and including) 12 years: $5.00
• Children over 12 years and up to (and including) 18 years: $12.00
• Adults: $18.00
Write a piecewise function that gives the admission price
for a given age.
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CR Review 2012
December 14, 2012
22. The data in the table shows the age, t (years), and
the corresponding height, h (in inches),
for a male from the age of 2 to the age of 19.
Approximate the best-fitting line for the data using the
graphing calculator‛s linear regression capabilities.
Write the equation of the line below.
Chapter 0.5 Test
12. Band Competition. The band boosters are organizing a trip to a
national competition for the 226-member marching band. A bus
will hold 70 students and their instruments. A van will hold 8
students and their instruments. A bus costs $280 to rent for the
trip. A van costs $70 to rent for the trip. The boosters have
$980 to use for transportation. Write and solve a system of
equations to determine how many buses and vans should be rented.
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CR Review 2012
December 14, 2012
Chapter 1 Test
3. Find the coordinates of the vertex of the following parabola in
the current form using the shortcut method (without completing the
square).
16. Population Model. The table shows the population of a town from 1990
to 1998. Find a quadratic model in standard form for the data using the
graphing calculator‛s quadratic regression feature. Assume that t is the
number of years since 1990 and that P is measured in thousands of people.
a.) State the equation of the quadratic model in standard form.
b.) Use the model to predict the population in the year 2001.
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CR Review 2012
December 14, 2012
Throwing an Object. A man throws a rock into the air with an initial
velocity of 27 feet per second. The man‛s hand is 6 feet above the
ground.
25. Write a quadratic equation for the height h of the rock t seconds
after it is thrown.
26. How many seconds is the rock in the air
Test Cramming Problem. Jason begins cramming for his algebra test late Thursday evening.
His grade depends on the number of hours he studies. He figures that with no studying he
would make only a 40. With one hour of studying he could make a 75, and with 2 hours of
studying he might make a 90. Assume that his grade is a quadratic function of the number of
hours he studies.
Let x = the number of hours he studies
y = the grade he earns
28. Write three ordered pairs represented by the data.
29. Find the standard form of an equation that models the data for this function. Use a system of
equations. Clearly show
the process used to solve the system.
30. How long must Jason study to maximize his grade according to the equation found in problem 29
above Show the math that justifies your answer.
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CR Review 2012
December 14, 2012
Chapter 2 Test
26. Using the REGRESSION features of a graphing
calculator, find a cubic function for the data given below.
x 0 1 2 3 4 5 6
f(x) 11 15 20 16 14 16 18
28. For 1990 through 2000 the enrollment of a college can be modeled by the function below where
t is the number of years since 1990. In what year did the college enroll 4800 students Show a
quick sketch of the graph produced (including y1 and y2) on the window
[0, 20] x [0,6000] and use the graphing calculator‛s intersect feature to find the point of
intersection (rounded to 3 decimal places) and estimate the year.
Point of intersection: ___________
Year: _______________________
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