Download Name: :___________Block:____Algebra 2 CP Review Sheet The

Name:__________________________________Date:___________Block:____
Algebra 2 CP
Review Sheet
The table displays information for six consecutive elections for Congressional
Elections in a town out west.
1. Make a scatter plot of the data
Registered
to Vote
(%)
70
68
62
63
64
64
and draw a trend line. Be sure to
label you axes appropriately.
Actually
Voted
(%)
55
55
45
46
49
46
2.
3.
Write the equation of your trend
line (best fit line).
Using your equation, estimate the
percentage of individuals that would
vote if 75% of the town was
registered to vote.
There are 12 tulip bulbs in a package. Nine will yield yellow tulips and three will
yield red tulips. If one tulip bulb is selected at random, find the probability of
each event.
4. P(red) =
5. P(not red)=
Algebra 2 CP Review Sheet 2.4, 1.6, 9.7, 6.7, 11.1-11.3
Page 1
There are 12 tulip bulbs in a package. Nine will yield yellow tulips and three will
yield red tulips. If two tulip bulbs are selected at random, find the probability of
each event.
6. P(red, then red) =
7. P(yellow, then red)=
Tanya randomly guesses a whole number from 1 to 10. Find the probability of each
event.
8. P(number <6) =
9. P(guesses odd) =
10. P(odd number <6) =
A single marble is drawn from a bag containing 3 red, 5 white, and 2 blue marbles.
Find the probability of each event.
11. P(red or blue) =
12. P(red or white or
13. P(not white) =
blue) =
The names of 3 seniors, 4 juniors, and 5 sophomores are placed in a hat. One name
is drawn at random, set aside, and a second name is then drawn at random. Find the
probability of each event.
14. The first name drawn is a junior and 15. Both names drawn are sophomores.
the second is a senior.
P(junior, then senior) =
P(sophomore, then sophomore) =
There are 3 red, 2 blue, and 3 yellow crayons in a box. Jeff randomly selects one,
returns it to the box, and then randomly selects another. Find the probability of
each event.
16. The first crayon selected is blue,
17. Both crayons are red.
and the second is yellow.
P(blue, then yellow) =
P(red, then red) =
Algebra 2 CP Review Sheet 2.4, 1.6, 9.7, 6.7, 11.1-11.3
Page 2
18. If A and B are mutually exclusive
events, which of the following formulas
would apply?
a.
b.
c.
d.
P(A or B) = P(A) + P(B) – P(A and B)
P(A and B) = P(A)● P(B)
P(A or B) = P(A) + P(B)
P(A and B) = P(A) ● P(B|A)
20. If A and B are non-mutually
exclusive events, which of the following
formulas would apply?
a.
b.
c.
d.
P(A or B) = P(A) + P(B) – P(A and B)
P(A and B) = P(A)● P(B)
P(A or B) = P(A) + P(B)
P(A and B) = P(A) ● P(B|A)
Calculate the following:
22.
23.
7! =
6C2
=
19. If A and B are independent events,
which of the following formulas would
apply?
a.
b.
c.
d.
P(A or B) = P(A) + P(B) – P(A and B)
P(A and B) = P(A)● P(B)
P(A or B) = P(A) + P(B)
P(A and B) = P(A) ● P(B|A)
21. If A and B are dependent events,
which of the following formulas would
apply?
a.
b.
c.
d.
24.
P(A or B) = P(A) + P(B) – P(A and B)
P(A and B) = P(A)● P(B)
P(A or B) = P(A) + P(B)
P(A and B) = P(A) ● P(B|A)
9P3
=
25.
7!
=
5!2!
Decide if the follow represent permutations or combinations and then solve.
26. In how many ways can 4 of 7
27. A volleyball team has 12 members,
different kinds of bushes be planted
one coach, and 2 managers. How many
along one side of a house?
different ways can 7 people be chosen
to kneel in the front row of the team
picture?
28. A sample of 4 mousetraps taken
from a batch of 100 mousetraps is to be
inspected. How many different samples
could be selected?
29. In how many ways can 5 toy blocks
of different colors be stacked?
Algebra 2 CP Review Sheet 2.4, 1.6, 9.7, 6.7, 11.1-11.3
Page 3
Phil, the groundhog, saw his shadow 10 times in the past 12 years.
30. What is the probability that Phil will not see his shadow next year?
Fill in the formulas described below.
31. Recursive Formula for Arithmetic
Sequence.
32. Recursive Formula for Geometric
Sequence.
33. Explicit Formula for Geometric
Sequence.
34. Explicit Formula for Arithmetic
Sequence.
Tell whether the following sequences are arithmetic, geometric or none.
35.
36.
20,17,14,11,…
256,64,16,4,…
37.
32,-16,8,-4,…
38.
1,3,6,10,…
Tell whether the following sequences are arithmetic or geometric. Then describe
the corresponding common difference or common ratio.
39.
40.
21,15,9,3,…
1,-2,4,-8,…
Algebra 2 CP Review Sheet 2.4, 1.6, 9.7, 6.7, 11.1-11.3
Page 4
Decide whether the following sequences are arithmetic or geometric. Then use the
appropriate explicit formula to predict the 20th term.
41.
42.
100,75,50,25,…
1,-3,9,-27,…
Generate the first 5 terms of the sequence if you know the first term and the
common difference (d) or the common ratio (r).
43.
44.
a1 = 40, r = -2
a1 = 13, r = 9
Determine the arithmetic and the geometric mean of the following numbers.
45.
46.
4 and 10
-2 and -20
Arithmetic mean =
Geometric mean =
Arithmetic mean =
Geometric mean =
Complete the sequence.
47. Geometric Sequence:
48. Arithmetic Sequence:
1000, , 40
1000, , 40
Create a recursive formula for the following sequences.
49.
50.
5,1,-3,-7,…
400, 200, 100, 50, 25,…
Create an explicit formula for the following sequence.
51.
2,4,8,14,22,…
Algebra 2 CP Review Sheet 2.4, 1.6, 9.7, 6.7, 11.1-11.3
Page 5