A few Algebra II assignments
life15juicy
archive.zipCh 11 Test.pdf
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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
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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
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?
________________________________________
________________________________________
________________________________________
________________________________________
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 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.
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 ( ) − =
−∑ 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
12
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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.
________________________________________
16. Find the common ratio of the geometric
sequence 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
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?
________________________________________
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
.
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
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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
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 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
( )− + = − =
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) 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
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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 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
1
2 2 2k
k k
C =
− +
4
1
3 2 2 2k
k k
B =
+ +
4
1
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 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 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.
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
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? 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?
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
CHAPTER
12
