Ch 11 Test.pdf Name _______________________________________ Date ___________________ Class __________________ Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. 215 Holt Algebra 2 Chapter Test Form B 1. A movie theater has posters for 7 new movies. How many ways can the theater arrange 5 of the posters on a wall? ________________________________________ 2. A customer at a bookstore is interested in 10 books on sale. How many ways can she choose 3 books to buy? ________________________________________ 3. A man has 4 pairs of dress pants, 4 dress shirts, and 10 ties. How many different ways can he dress for a job interview? ________________________________________ 4. In a new neighborhood, houses are constructed of brick, wood, or cement. According to the graph above, what is the probability that a house chosen at random is made of brick? ________________________________________ 5. Two number cubes are rolled at the same time. What is the probability that the two cubes show different numbers? ________________________________________ 6. What is the probability that a point chosen inside the rectangle is in the shaded region? ________________________________________ 7. A coin and a number cube are tossed at the same time. What is the probability of tossing a tails and rolling a 4 or 5 at the same time? ________________________________________ 8. The table shows the results of a consumer survey asking men and women where they prefer to shop. Shopping By Gender Male Female Store A 12 6 Store B 4 14 What is the probability that a person chosen from this group is a male who prefers Store A? ________________________________________ 9. What is the mean of the data set {0, 0, 2, 4, 4, 5}? ________________________________________ CHAPTER 11 Name _______________________________________ Date ___________________ Class __________________ Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. 216 Holt Algebra 2 Chapter Test Form B continued 10. A biologist has collected data from 320 tidal pools. 125 of the pools contained shrimp and 183 contained algae. There were 147 tidal pools that contained only algae. What is the probability that a tidal pool contains shrimp or algae? ________________________________________ 11. There are 6 children in the Martinez family. What is the probability that at least 2 of them were born in the same month? ________________________________ 12. A baseball player keeps track of how many hits he gets during each game: {0, 0, 4, 1, 3, 4}. What is the approximate standard deviation of the data set? ________________________________ 13. The probability distribution for the n ...

1. Ch 11 Test.pdf
Name _______________________________________ Date
___________________ Class __________________
Original content Copyright © by Holt McDougal. Additions and
changes to the original content are the responsibility of the
instructor.
215 Holt Algebra 2
Chapter Test
Form B
1. A movie theater has posters for 7 new
movies. How many ways can the theater
arrange 5 of the posters on a wall?
________________________________________
2. A customer at a bookstore is interested
in 10 books on sale. How many ways
can she choose 3 books to buy?
________________________________________
3. A man has 4 pairs of dress pants, 4
dress shirts, and 10 ties. How many
different ways can he dress for a job
interview?
________________________________________

2. 4. In a new neighborhood, houses are
constructed of brick, wood, or cement.
According to the graph above, what is
the probability that a house chosen at
random is made of brick?
________________________________________
5. Two number cubes are rolled at the
same time. What is the probability that
the two cubes show different numbers?
________________________________________
6. What is the probability that a point
chosen inside the rectangle is in
the shaded region?
________________________________________
7. A coin and a number cube are tossed at
the same time. What is the probability of
tossing a tails and rolling a 4 or 5 at the
same time?
________________________________________
8. The table shows the results of a
consumer survey asking men and
women where they prefer to shop.
Shopping By Gender

3. Male Female
Store A 12 6
Store B 4 14
What is the probability that a person
chosen from this group is a male who
prefers Store A?
________________________________________
9. What is the mean of the data set
{0, 0, 2, 4, 4, 5}?
________________________________________
CHAPTER
11
Name _______________________________________ Date
___________________ Class __________________
Original content Copyright © by Holt McDougal. Additions and
changes to the original content are the responsibility of the
instructor.

4. 216 Holt Algebra 2
Chapter Test
Form B continued
10. A biologist has collected data from 320
tidal pools. 125 of the pools contained
shrimp and 183 contained algae. There
were 147 tidal pools that contained only
algae. What is the probability that a tidal
pool contains shrimp or algae?
________________________________________
11. There are 6 children in the Martinez
family. What is the probability that at
least 2 of them were born in the same
month?
________________________________
12. A baseball player keeps track of how
many hits he gets during each game:
{0, 0, 4, 1, 3, 4}. What is the approximate
standard deviation of the data set?
________________________________
13. The probability distribution for the
number of sales for a salesman each
day is given below.
Daily Sales Total
n sales 5 7 9

5. Probability
of n sales 0.40 0.35 0.25
What is the expected number of sales for
this salesman?
________________________________________
14. What is the approximate variance of the
data set {10, 20, 15, 10, 10}?
________________________________________
15. A woman keeps track of the number of
hours she works each day for 10 days:
{8, 0, 0, 6, 4, 3, 2, 7, 7, 8}. Make a
box-and-whisker plot of her hours
worked.
16. On each of the first 5 tests, Joe gets
3, 4, 0, 6, and 2 questions incorrect. If
he misses 3 questions on his next test,
how will this affect the mean of the
data? How will this affect the standard
deviation of the data?
________________________________________
________________________________________
________________________________________
________________________________________

6. 17. 2 out of 10 people have an allergic
reaction to a new medicine. What is the
probability that exactly 4 out of 10
people given the medicine experience
an allergic reaction?
________________________________________
CHAPTER
11
__MACOSX/._Ch 11 Test.pdf
Ch 12 Test.pdf
Name _______________________________________ Date
___________________ Class __________________
Original content Copyright © by Holt McDougal. Additions and
changes to the original content are the responsibility of the
instructor.
235 Holt Algebra 2
Chapter Test

7. Level B
Select the best answer.
1. What are the first 5 terms of the
sequence where a1 = 4 and
an = 10 − 3an −1 ?
________________________________________
2. Stacey goes fishing every Saturday
morning. On the first 4 Saturdays of
fishing season, she catches the following
number of fish: 2, 4, 8, and 16. Write a
possible explicit rule for the number of
fish caught in the nth week.
________________________________________
3. A barn starts out with 120 mice. The
population decreases by 27% each year
after the farmers buy a cat. How many
mice are left after 4 years?
________________________________________
4. How many dots will appear in the next
two iterations of the sequence shown
below?
________________________________________
5. Write the following series in summation
notation.

8. 68 + 102 + 153 + 229.5
________________________________________
6. Jessica filled her car up with gas 5 times
in the last two months. The first time, it
cost her $19. Because the price of gas
was increasing, it cost her $1.50 more
each time she filled up. How much did
she spend in gas over the last
two months?
________________________________________
7. Evaluate
=
∑
20
1k
k .
________________________________________
8. A new state law requires a certain
company to clean up 300 acres of its
land. The company agrees to work on
40% of the remaining land each year.
How many acres have they cleaned up
after 4 years?
________________________________________
9. Evaluate ( ) −
=

9. −∑
1
2
2
k
k
k
.
________________________________________
10. Yasin’s father increases his allowance
each year on his birthday. His
allowance was $5 a week when he
was 8 and $12.50 a week when he
was 11. What is Yasin’s weekly
allowance when he is 14?
________________________________________
11. Barry reads 2 pages of a book the first
night. He reads 3.5 pages the second
night. If he continues to read 1.5 pages
more than the previous night, how
many pages will he have read after
7 days?
________________________________________
CHAPTER

10. 12
Name _______________________________________ Date
___________________ Class __________________
Original content Copyright © by Holt McDougal. Additions and
changes to the original content are the responsibility of the
instructor.
236 Holt Algebra 2
Chapter Test
Level B continued
12. Find the common difference of the
sequence −2, −1.5, −1, −0.5, ….
________________________________________
13. Find S11 for the arithmetic series
3 + 5.5 + 8 + 10.5 + 13 + ….
________________________________________
14. An investor has purchased $5055 of a
stock that increases in price by 12% each
year. How much can she sell the stock for
after 5 years?
________________________________________
15. Find the geometric mean of 10 and 90.

11. ________________________________________
16. Find the common ratio of the geometric
4 8 16 32
, , , , .
3 3 3 3
.
________________________________________
17. A telemarketer makes 12 calls during his
first hour at work. If he increases his
output by 13% each hour, how many calls
will he make during his 8-hour
work day?
________________________________________
18. Find the sum of the geometric series
( ) −
=
∑
7
1
1
8 0.3
m

12. m
. Round your answer to the
hundredths place.
________________________________________
19. Rosalie sleeps 8 hours the first night.
Each night she stays up later and only
sleeps 75% as much as each previous
night. How many hours does she
sleep, total, in 4 days?
________________________________________
20. Determine whether the geometric
series converges or diverges:
16 64 256
4
3 9 27
________________________________________
21. The triangles below are all equilateral
and each smaller triangle has a side
length half that of the next larger.
If this pattern continues, what is the
total perimeter of all the triangles?

13. ________________________________________
22. Evaluate
∞
−
=
∑ 1
1
5
3qq
.
________________________________________
23. Find a counterexample that disproves
<
1
1
2
nn .
________________________________________
24. An infinite geometric series has a sum
of 120 and a common ratio of
2
3

14. .
What is the first term of the series?
CHAPTER
12
__MACOSX/._Ch 12 Test.pdf
Section Quiz Ch 10 B 10-6 to 10-7.pdf
Name ________________________________________ Date
___________________ Class __________________
Original content Copyright © by Holt McDougal. Additions and
changes to the original content are the responsibility of the
instructor.
186 Holt Algebra 2
Quiz
Lessons 10-6 to 10-7
Select the best answer.
1. Which conic section is represented by the
equation
( ) ( )− +
= +
2 2

15. 3 3
1
4 25
y x
?
A circle C hyperbola
B ellipse D parabola
2. A graphic designer is designing an
elliptical patch for a school club. Which
equation could he use for the border of
the patch?
F x2 + 9y − 10 = 0
G 4x2 + 4y2 − 3x + 9 = 0
H −9x2 + 4y2 − 12y + 6x = 0
J 2x2 + 2y2 + 3xy − y + 2 = 0
3. Which graph is represented by the
equation x2 + y2 + 2x − 6y − 6 = 0?
A C
B D
4. The circular path of cars on a Ferris
wheel can be modeled with the
equation x2 − 14x + y2 − 150y = −49,
measured in feet. What is the maximum
height above ground of the riders?
F 48 feet H 150 feet

16. G 75 feet J 300 feet
5. What are the solution(s) of the system
shown below?
A (3, 2)
B (−1, 6) and (5, 7)
C (2, 2) and (2, −4)
D (−2, 0) and (8, 0)
6. What are the solutions of the system
( ) ( )− + − =
− − + =
2 2
2
1 3 9
2 3 1 0
x y
x x y
?
A (−2, 3) and (4, 3)
B (−2, 3), (4, 3), and (1, 0)
C (−2, 3), (4, 3), (1, 0), and (1, 3)
D no solution
7. What are the solutions of the system

17. ( )− + =
− =
2 2
2 2
5 16
36 25 900
x y
y x
?
F (5, 4) and (1, 0) H (0, 5) and (6, 0)
G (5, 4) and (6, 0) J no solution
8. A town is installing pipes from an elliptical
reservoir. The reservoir can be modeled
with the equation + =
2 2
1
121 36
x y
. The
pipes are laid down in a pattern modeled
by the equation 11y − 6x = 66. At what
points do the pipes enter the reservoir?
A (−11, 0) and (0, −6)
B (−11, 0) and (0, 6)

18. C (−6, 0) and (0, 11)
D (6, 0) and (0, 11)
CHAPTER
10
__MACOSX/._Section Quiz Ch 10 B 10-6 to 10-7.pdf
Section Quiz Ch 12 A 12-1 to 12-3.pdf
Name ________________________________________ Date
___________________ Class __________________
Original content Copyright © by Holt McDougal. Additions and
changes to the original content are the responsibility of the
instructor.
225 Holt Algebra 2
Quiz
Lessons 12-1 to 12-3
Select the best answer.
1. What are the first 4 terms of the
sequence where a1 = −2 and
an = 5 − 2an−1?
A −2, 9, −16, 23 C −2, 9, −13, 31
B −2, 7, −9, 11 D −2, 7, −2, 7
2. A new play receives bad reviews on
opening night and ticket sales start to

19. decrease. Ticket sales for the first
5 nights form the sequence
400, 399, 396, 387, 360,…
Find an explicit rule for the number of
tickets sold on the nth night.
F an = an− 1 − 3(n− 1)
G an = an − 3(n− 1)
H an = an − 3n
J an = an− 1 − 3n
3. How many dots will appear in the next
2 figures of the dot pattern below?
A 36, 45 C 44, 65
B 40, 53 D 65, 90
4. Kate’s grandfather gives her an old coin
worth $50. The coin increases in value
by 8% each year. How much is the coin
worth after 17 years?
F $118 H $186
G $185 J $215
5. Which is summation notation for the
series + + +
2 4 6 8
4 6 8 10
?
A
= +
4

20. 1
2
2 2k
k
k
C
=
−
+
4
1
3 2
2 2k
k
k
B
=
+
+
4
1

21. 1
3k
k
k
D
= +
4
1
2
3k
k
k
6. A computer virus infects an e-mail
account and sends itself to 4
new accounts. The next day, each of
those accounts sends the virus to 4
other accounts, and so on. How many
accounts are infected with the virus after
five days?
F 256 H 1024
G 341 J 1365
7. Evaluate 2
=
9
4k

22. k .
A 190 C 285
B 271 D 371
8. Elena is knitting a design on a sweater.
The first row has 20 stitches and each
additional row has 6 stitches more than
the row before it. How many stitches are
in the 12th row?
F 74 H 86
G 80 J 92
9. What is the 38th term of the arithmetic
sequence where a4 = 8.5 and a7 = 13?
A 59.5 C 64
B 61 D 65.5
10. Laurent’s new job grants him 100 stock
options each year. Every year, he is
given 20 more than the year before.
How many stock options will Laurent
have after 8 years on the job?
F 960 H 1360
G 980 J 1520
11. Evaluate ( )
=
−
11
1
1 3
k

23. k .
A −396 C −198
B −374 D −187
12. Evaluate
=
−
9
3
9
k
.
F −81 H −45
G −54 J −27
CHAPTER
12
__MACOSX/._Section Quiz Ch 12 A 12-1 to 12-3.pdf
Section Quiz Ch 12 B 12-4 to 12-5.pdf
Name ________________________________________ Date
___________________ Class __________________
Original content Copyright © by Holt McDougal. Additions and
changes to the original content are the responsibility of the
instructor.

24. 226 Holt Algebra 2
Quiz
Lessons 12-4 to 12-5
Select the best answer.
1. What is the common ratio of the
sequence
3 3 3 3
, , , , ?
100 50 25 12.5
A
1
2
C 2
B
3
2
D 6
2. Vivica has a colony of bees that
produced 15 pounds of honey in
the first year. As the colony grows, it
produces 9% more honey each year.
Approximately how much honey will the
colony produce during the 7th year?
F 22 lb H 25 lb
G 24 lb J 27 lb

25. 3. What is S6 for the geometric series
0.25 − 0.75 + 2.25 − 6.75 + …?
A −60.75 C 22
B −45.5 D 91
4. What is the geometric mean of
−5 and − 5
16
?
F ±
16
25
H ±
5
4
G ±
4
5
J ±
25
16
5. Olaf plants a garden and harvests
20 tomatoes the first year. The garden
produces 5% more tomatoes each year.
How many tomatoes, total, does Olaf
harvest during the first 10 years?

26. A 210 C 251
B 226 D 283
6. What is the 12th term of the geometric
sequence where a7 = 7 and a10 = −56?
F −448 H −112
G −224 J −96
7. Linda and Bradley plant a tree in their
backyard. At the end of the first year,
the tree is 6 feet tall. At the end of the
second and third years, the tree is 9 and
10.5 feet tall. Assume the tree’s height
follows a geometric series. What is the
maximum height of the tree?
A 12 ft C 24 ft
B 18 ft D 30 ft
8. Which series below converges?
F 2 + 3 + 4.5 + ...
G 100 + 80 + 64 + ...
H 1 − 2 + 4 − ...
J 8 + 12 + 18 + ...
9. Identify the counterexample which
disproves the statement n4 ≤ 4n.
A n = −1 C n = 0
B n = 0.5 D n = 1
10. Paulo is making a stepped structure out
of sugar cubes for a school project. The
first three rows are shown below and
he will follow this pattern to build higher
rows. How many sugar cubes will he
have used when the project is finished?

27. F 80 H 90
G 88 J 100
11. What is the approximate sum of the
geometric series
∞
=1
3
12
5
w
w
?
A 18 C 27
B 20 D 30
12. An infinite geometric series has a sum
of 200 and a common ratio of
4
5
.
Which is the first term of this series?
F 40 H 100
G 80 J 160

28. CHAPTER
12
__MACOSX/._Section Quiz Ch 12 B 12-4 to 12-5.pdf