Download Ch11 Review

Algebra 2
Ch. 11Review
Name____________________
Evaluate:
1.
5!
4.
7
7.
12
2.
12!
8!
3.
7
C3
6.
12 1
C11
9.
4
P3
5.
7
C1
8.
12
P4
P
P4
10.
License plate numbers in one state consist of a nonzero digit, two letters, another nonzero digit, and two
more digits. How many different license plates can be made?
11.
A common pattern in English is the 3-letter word, with a vowel (a, e, i, o, u) in the middle and consonants
before and after it. How many such 3-letter “words” are there?
12.
Philip can choose his clothes from 6 shirts, 3 pairs of jeans, and 4 pairs of shoes. How many arrangements
are possible?
13.
Gloria’s bicycle lock can be opened when 4 different levers are placed opposite their correct digit. Each
lever can be positioned in spaces marked 1 through 8. How many different lock combinations are possible?
14.
How many combinations can be formed from the letters STAPLER, taking them 6 at a time? Taking them
5 at a time? Taking them 2 at a time?
15.
There are twelve candidates who will be nominated for the offices of president, vice-president, and
secretary. How many tickets will be possible for the 3 offices?
16.
Five members of a 10-member group are to be appointed as the members of a committee. How many
different ways can the committee be chosen?
Two dice are rolled. Find the probability:
17.
Both are the same number
18.
The sum is greater than 8
19.
The product is more than 90
20.
The difference is 2
21
From a standard 52-card deck, what is the probability of drawing 2 diamonds when dealt 3 cards?
22.
What is the probability that a random 2-digit number is a multiple of 7?
23.
A parent is making different lunches for each of his 3 children. If each child grabs a lunch bag at random,
what is the probability that all 3 children will get the correct bag?
The shaded region is vertically centered in the flag.
Find the probability:
24.
A random point inside the flag is in the shaded region.
35 in.
14 in.
2 in.
25.
A random point inside the flag is above the shaded region.
The table shows results of a school-wide survey on a dance.
Find the probability:
26.
A student who prefers the cafeteria is a girl
Homecoming Dance Location Survey
Girls Boys
Gymnasium
67
58
27.
Cafeteria
A surveyed student is male and prefers the gym.
53
37
28.
In an apartment building with 50 residents, 16 residents have cats, 28 residents are students, and 9 of the
students have cats. What is the probability that a resident is a student or has a cat?
29.
Find the expected value of the raffle prize.
Raffle Prizes
Value
$0
$5
$20
$200
Probability
.76
.16
.06
.02
30.
Find the mean, median, and mode of the data set:
{12, 9, 8, 15, 16, 12, 13}
31.
Make a box-and-whisker plot of the data set:
Find the interquartile range.
{5, 6, 9, 12, 13, 15, 3, 6, 2, 16, 10}
32.
Find the variance and standard deviation of the data set:
33.
Are there any outliers in the data set of #32?
Support your answer.
{6, 33, 37, 28, 31}
Expand.
x  y 6
34.
 x  y 4
38.
Find and set-up the term containing b 5 in a  b 
39.
Find and set-up the term containing x 2 in 2 x  y 
40.
Find and set-up the eleventh term of a  b 
41.
Find and set-up the middle term of  c 2  2d 
35.
36.
2 x  33
37.
x  2 y 7
20
7
14
80
Review.
42.
Factor: x3  x 2  4 x  4
43.
Solve for x:
44.
Write the equation of a line perpendicular to 2x – 5y = 17, that goes through the point ( 4, -3)
45.
Write the equation of a circle with center ( 5, -2 ) that goes through the point ( 1, 7).
46.
Solve for x:
m  x  w  w  3  x  p 
8  5  2
x1
 17
Answers:
1) 120
2) 11,880
3) 840
4) 210
5) 35
6) 12
7) 12
8) 12
9) 24
10) 5,475,600 11) 2,205
12) 72
13) 4,096
14) 7, 21, 21 15) 1,320
16) 252
17) 1/6
18) 5/18
19) 0
20) 2/9
21) 117/850 22) 13/90
23) 1/6
24) 1/7
25) 3/7
26) 53/90
27) 58/95
28) 7/10
29) $6.00
30) Mean: 12.14, Median: 12, Mode: 12 31) 2---5---9---13---16, IQR: 8
32) Mean: 27, Variance: 118.8, Standard Deviation: 10.9
33) No outliers because all the data points are between -5.7 and 59.7
34) x 4  4 x3 y  6 x 2 y 2  4 xy 3  y 4
35) x6  6 x5 y  15x4 y 2  20 x3 y 3  15x 2 y 4  6 xy 5  y 6
36) 8 x3  36 x 2  54 x  27
37) x7  14 x6 y  84 x5 y 2  280 x 4 y 3  560 x3 y 4  672 x 2 y 5  448xy 6  128 y 7
38) C  20,5  a 
39) C  7, 2  2 x    y 
40)
b 
4
10
C 14, 4  a   b 
42)
 x  2 x  2 x 1
43) x 
45)
 x  5   y  2 
15
2
5
2
 97
2
41) C  80, 40   c 2 
40
5
 2d 
w  3 p  mw
m3
46) x 
40
44) y  3 
log 5
1
log 2
5
 x  4
2