CCGPS Analytic Geometry B/Advanced Algebra - Wheeler Magnet ...

May 30, 2013
Dear Accelerated CCGPS Analytic Geometry B/Advanced Algebra Student:
Congratulations for being placed in the Accelerated CCGPS Analytic Geometry B/Advanced Algebra class for
the 2013-2014 school year!
This is a fast-paced and rigorous college-preparatory math course that includes substantial work with the skills
and concepts presented in each lesson. The course emphasizes more complex applications and challenging
exercises than students might be exposed to in the traditional high school Geometry and Advanced Algebra
courses. You will be required to think, to apply what you know in new and different situations, and to use
problem-solving skills. The accelerated course is one in which the concepts from the beginning lessons build
upon one another and are essential to the mastery of the material that will be encountered later in the
semester. In order to be successful, you must have strong foundational math skills and be consistent with
your homework and study habits. It is our hope that you will not only learn the major concepts of this course
but that you will also become more independent in your learning and study habits, skills that you will need to
be successful in future honors-level and AP courses. It is your responsibility to be the best student you can be!
Because of the pace of our curriculum, we will not be able to spend time in class reviewing skills that were
presented in the pre-requisite courses. This packet represents a brief review of some of those topics that will
be an important foundation for this course. Work all of the problems neatly on separate paper, numbering
your work. You must show work for each problem, not just an answer. Justify your answer for any multiple
choice items by writing a sentence stating why you chose a specific answer. Your final answer for each
problem should be recorded on the answer sheet. The completed packet is due to Mrs. Lynn Barry in Room
520 by the end of school on Friday, August 9, 2013. These review problems represent your first graded
assignment for this course and will help to verify that your placement is correct. Your work will be graded for
completeness and accuracy.
If you will also be taking Accelerated CCGPS Coordinate Algebra/Analytic Geometry A during the 2013-2014
school year, you should complete ONLY the packet for that course. You are not required to complete the
packet for Accelerated CCGPS Analytic Geometry B/Advanced Algebra because the topics covered in that
packet represent concepts that you will be learning during the first semester.
Please feel free to e-mail me at Lynn.Barry@cobbk12.org over the summer if you have any questions.
Sincerely,
Mrs. Lynn Barry
Math Department Chair

Accelerated CCGPS Analytic Geometry/Advanced Algebra
Pre-Requisite Skills Review
1. The tension caused by a wave moving along a string is
found using the formula
T = mv 2
L
If m is the mass of the string in grams, L is the length of the
string in centimeters, and v is the velocity of the wave in
centimeters per second, what is the unit
of the tension of the string, T?
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2. A certain population of bacteria has a growth rate of 0.02
bacteria/hour. The formula for the growth of the bacteria’s
population is A = P o (2.71828) .02t where P o is the original
population and t is the time in hours. If you begin with 200
bacteria, approximately how many of the bacteria can you
expect after 100 hours?
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3. Two angles of a triangle measure 20° and 50°. What is the
measure of the third angle?
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4. Bruce owns a business that produces widgets. He must
bring in more in revenue than he pays out in costs in order to
turn a profit.
It costs $10 in labor and materials to make each of his
widgets.
• His rent each month for his factory is $4000.
• He sells each widget for $25.
How many widgets does Bruce need to sell each month to
make the minimum profit?
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5. Solve for y: 6(x + 4) = 2(y + 5) .
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6. A ferry boat carries passengers back and forth between
two communities on the Peachville River.
• It takes 30 minutes longer for the ferry to make the trip
upstream than downstream.
• The ferry’s average speed in still water is 15 miles per hour.
• The river’s current is usually 5 miles per hour.
This equation can be used to determine how many miles
apart the two communities are.
m m
0.5
15 5 15 5
What is m, the distance between communities?
7. Solve the inequality
2 x
3 3
> 1.
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8. A shop sells one-pound bags of peanuts for $2 and threepound
bags of peanuts for $5. If 9 bags are purchased for a
total cost of $36, how many three-pound bags were
purchased?
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9. Which graph would represent a system of linear equations
that has multiple common coordinate pairs?
A B
C D
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10. Which graph represents the solution to x > 3?
A.
B.
C.
D.
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11. Which function represents this sequence?
n 1 2 3 4 5 …
a n 6 18 54 162 486 …
A. f(n) = 3 n – 1
B. f(n) = 6 n – 1
C. f(n) = 3(6 n – 1 )
D. f(n) = 6(3 n – 1 )

12. Which pair of inequalities is shown in the graph?
16. A function g is an odd function. If g(–3) = 4, which of the
points lie on the graph of g?
A. (3, –4)
B. (–3, –4)
C. (4, –3)
D. (–4, 3)
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A. y > –x + 1 and y > x – 5
B. y > x + 1 and y > x – 5
C. y > –x + 1 and y > –x – 5
D. y > x + 1 and y > –x – 5
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13. To rent a canoe, the cost is $3 for the oars and life
preserver, plus $5 an hour for the canoe. Which graph models
the cost of renting a canoe? Justify your answer.
A B
C D
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14. The graph of a function is shown on this coordinate
plane. Which statement best describes the behavior of the
function within the interval x =−3 to x = 0?
17. This table shows the average low temperature, in ºF,
recorded in Macon, GA, and Charlotte, NC, over a six-day
period.
Day 1 2 3 4 5 6
Temp. in °F, in Macon, GA 71 72 66 69 71 73
Temp. in °F, in Charlotte, NC 69 64 68 74 71 75
Which conclusion can be drawn from the data?
A. The interquartile range of the temperatures is the same for
both cities.
B. The lower quartile for the temperatures in Macon is lower
than the lower quartile for the temperatures in Charlotte.
C. The mean and median temperatures of Macon were higher
than the mean and median temperatures of Charlotte.
D. The upper quartile for the temperatures in Charlotte was
lower than the upper quartile for the temperatures in Macon.
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18. A reading teacher recorded the number of pages read in
an hour by each of her
students. The numbers are shown below.
44, 49, 39, 43, 50, 44, 45, 49, 51
For this data, which summary statistic is NOT correct?
A. The minimum is 39.
B. The lower quartile is 44.
C. The median is 45.
D. The maximum is 51.
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19. How would you describe the correlation of the two
variables based on the scatter plot?
A. From left to right, the function rises only.
B. From left to right, the function falls and then rises.
C. From left to right, the function rises and then falls.
D. From left to right, the function falls, rises, and then falls.
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15. Given the sequence: -1, 1, 3, 5, 7, …. Write a function
that could represent this sequence.
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A. positive, strong linear
B. negative, weak linear
C. negative, fairly strong linear
D. little or no correlation
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20. A science teacher recorded the pulse rates for each of
the students in her classes after the students had climbed a
set of stairs. She displayed the results, by class, using the box
plots shown.
Which class had the highest pulse rates after climbing the
stairs?
24. Which series of transformations maps △ABC to △RST?
A. Reflect △ABC across the line x = –1. Then translate the
result 1 unit down.
B. Reflect △ABC across the line x = –1. Then translate the
result 5 units down.
C. Translate △ABC 6 units to the right. Then rotate the result
90° clockwise about the point (1, 1).
D. Translate △ABC 6 units to the right. Then rotate the result
90° counterclockwise about the point (1, 1).
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21. This histogram shows the frequency distribution of
duration times for 107 consecutive eruptions of the Old
Faithful geyser. The duration of an eruption is the length of
time, in minutes, from the beginning of the spewing of water
until it stops. What is the BEST description for the
distribution?
A. bimodal
B. uniform
C. multi-outliers
D. skewed to the right
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22. Museum prices in a city are listed as $9.00, #12.00, $9.75,
$8.25 and $11.75. What is the absolute mean deviation for
this set of data?
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23. Write the equation of the line that is perpendicular to
y = -1/2x – 2.

25. Given the points P(2, –1) and Q(–9, –6), what are the
coordinates of the point on directed line segment PQ
that partition PQ in the ratio 3 2 ?
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Solve for x and y in #26 - 28:
26.
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27.
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28.
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29. Find the perimeter of an equilateral triangle whose
altitude is 7 2 meters.
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30. A square has an area of 1058 feet 2 . Find the length
of one of the diagonals.
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31. A 25 foot ladder leans against a building. The angle
of elevation of the ladder to the building is 70 o . How
high is the top of the ladder on the building?
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32. Solve the right triangle.

41. What is the domain for f x 26 2
x ?
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46. Quadrilateral ABCD has vertices as shown.
Prove that the diagonals bisect each other.
4 4 32
42. Solve the system: x y
.
2x
5y
12
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43. Write the function that is modeled by this table:
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44. A population of squirrels doubles every year. Initially
there were 5 squirrels. A biologist studying the squirrels
created a function to model their population growth, P(t) =
5(2 t ) where t is time. The graph of the function is shown.
What is the range of the function?
47. Triangle ABC has vertices as shown. What is the are of
the triangle?
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45. The function graphed on this coordinate grid shows y, the
height of a dropped ball in feet after its x th bounce. On which
bounce was the height of the ball 10 feet?
48. Describe the transformations from the parent graph
f x 3 x represented by the function
x2
f(x) 3 1 .
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49. Compare the rate of change of Function A with
Function B.
FUNCTION A
FUNCTION B: For every hamburger sold, the restaurant
makes $.40.
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50. Given the sequence 9, -3, 1, -1/3, …, state the formula for
the general term.
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NAME ___________________________________________________
Accelerated CCGPS Analytic Geometry/Advanced Algebra
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