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WorksheetsAFM Review
Total questions: 61
Worksheet time: 4hrs 12mins
Name
Class
Date
1.
Identify the common difference.
3, 7, 11, 15, ...
3, 7, 11, 15, ...
a)
6
b)
5
c)
4
d)
2
2.
What sequence follows the formula an =4n+11 if n starts at 1
a)
4, 15, 26, 37...
b)
15, 19, 23, 27...
c)
15, 26, 37, 48...
d)
11,15, 19, 23...
3.
This summation is the same as which series?
a)
1 + 2 + 3 + 4 + 5 + 6
b)
(1 - 2) + (2 - 2) + (3 - 2) + (4 - 2) + (5 - 2) + (6 - 2)
c)
(1 - 2) + (6 - 2)
d)
(1 - 2) + (2 - 2) + (3 - 2) + (4 - 2)
4.
We can use SOH-CAH-TOA for...
a)
Any triangle ever
b)
Non-right triangles only
c)
Right Triangles only
d)
Never
5.
Find sinA
a)
32/40
b)
32/24
c)
24/40
d)
24/32
6.
What is the DOMAIN?
a)
(-∞, +∞)
b)
(-2, +∞)
c)
[-2, +∞)
d)
(-∞, 0) U (0, +∞)
7.
What is the RANGE?
a)
(-∞, +∞)
b)
(-2, +∞)
c)
[-2, +∞)
d)
(-∞, 0) U (0, +∞)
8.
What is the RANGE of the function?
a)
(-∞, +∞)
b)
(-∞, -3) U (-3, +∞)
c)
(-∞, 2] U [3, +∞)
d)
(-∞, 3] U [3, +∞)
9.
What is the common ratio for the sequence:
28, 14, 7, 3.5...
28, 14, 7, 3.5...
a)
2
b)
1/2
c)
-14
d)
-7
10.
Classify the given graph.
a)
exponential growth
b)
exponential decay
c)
positive linear
d)
negative linear
11.
g(x)=3(2)x
Find g(3)
Find g(3)
a)
216
b)
24
c)
18
d)
28
12.
Which function represents the table of values?
a)
f(x) = 4x
b)
f(x) = x3
c)
f(x) = 4x
d)
f(x) = 4x-1
13.
What is a, the starting term, for the function: f(x) = 300(1.16)x?
a)
300
b)
1.16
c)
.16
d)
x
14.
You invest $400 for 5 years and the interest rate is 4.29% each year.
a)
y=400(1 - 0.0429)5
b)
y=400(1+.0429)5
c)
y=400(1+ 4.29)5
d)
y=400e0.049*5
15.
a)
A
b)
B
c)
C
d)
D
16.
Solve for x:
(2x - 1)3/4 + 9 = 36
(2x - 1)3/4 + 9 = 36
a)
27
b)
13
c)
41
d)
82
17.
A bag has 3 red marbles, 2 blue and 4 yellow. What is the theoretical probability of pulling a red?
a)
3/10
b)
3/9 or 1/3
c)
1/9
d)
3/6
18.
A
team of 17 volleyball players needs to choose three players to refill the water
cooler. How many different ways can the
players be chosen? (Order does not
matter)
a)
3360
b)
560
c)
4080
d)
680
19.
If you roll two dice, what is the probability of rolling a sum of 6?
a)
5/36
b)
1/6
c)
1/2
d)
1/3
20.
Barry Bonds has a career batting average of .298. What is the probability that he will get on base 6 times in 10 at bats?
a)
3.57%
b)
5.46%
c)
22.67%
d)
100%
21.
Fred took a 10 question multiple choice quiz. The probability of answering a question correctly is 0.85. What is the probability of Fred answering 3 questions incorrectly on the quiz?
a)
0.1298
b)
0.00013
c)
0.6141
d)
0.0255
22.
Calculate the interquartile range of the following data:
17, 18, 18, 19, 20, 21, 21, 23, 25
17, 18, 18, 19, 20, 21, 21, 23, 25
a)
3
b)
4
c)
5
d)
8
23.
The average number of calories in a 1.5-ounce chocolate bar is 225. Suppose that the distribution of calories is approximately normal with a σ of 10. Find the probability that a randomly selected chocolate bar will have between 200 and 220 calories.
a)
0.9876
b)
0.3023
c)
0.0098
d)
0.3320
24.
It costs a bakery $3.50 to make apple pies that sell for $12 the first day they are baked.
* If a pie is not sold on the first day, the new price is $8.50
* The probability of selling a pie on the first day is 75%
* There is a 12% probability of selling it on the second day
* If the apple does not sell by the end of the second day, it is donated
What is the approximate expected profit per pie for the bakery on the sale of its apple pie?
* If a pie is not sold on the first day, the new price is $8.50
* The probability of selling a pie on the first day is 75%
* There is a 12% probability of selling it on the second day
* If the apple does not sell by the end of the second day, it is donated
What is the approximate expected profit per pie for the bakery on the sale of its apple pie?
a)
$6.52
b)
$9.57
c)
$5.67
d)
$10.52
25.
What is the period of y = 4Cos(2x)?
a)
4π
b)
π
c)
2π
d)
π/2
26.
What is the amplitude of this function?
a)
2
b)
2π
c)
-2
d)
1
27.
What is the difference between y = sinx and y = 4sinx when graphed?
a)
a period change
b)
an amplitude change
c)
a phase shift
d)
no difference in graphs
28.
Emily would like to buy some new furniture for her home. She decides to buy the furniture on credit with 9.5% interest compounded quarterly. If she spent $7,400, how much total will she have paid after 8 years.
a)
$15,415.94
b)
$15,683.28
c)
$15,927.56
d)
$16,109.05
29.
Karla invested $1,000 in savings bonds. If the bonds earn 6.75% interest compounded semi-annually, how much total will Karla earn in 15 years?
a)
$1,584.62
b)
$2,651.39
c)
$2,706.86
d)
$1,825.10
30.
Shawn is buying a new Jet Ski for $12,500. He is considering 2 credit options. Option A offers a 6 year loan with 8.5% interest compounded quarterly, while Option B offers a 5 year loan with10% interest compounded annually.Which option is better and how much will he save?
a)
A) A; $495.21 raise money for charity
b)
B) A; $573.83 get attention
c)
C) B; $495.21 get on the news
d)
D) B; $573.83 do something crazy
31.
You want to save $5,000 for future family vacation. If the bank pays 4.3% compounded monthly for 3 years, then how much will you need to invest to reach your vacation goal?
a)
$307,042,791
b)
$5,000
c)
$3,250
d)
$4,395.89
32.
If $1,000 is invested at 16% interest, compounded continuously, for five years, what is the ending balance?
a)
$1,225,54
b)
$2,225.54
c)
$22,255.40
d)
$225.54
33.
If $1,000 is invested at 16% interest, compounded continuously, for five years, what is the ending balance?
a)
$1,225,54
b)
$2,225.54
c)
$22,255.40
d)
$225.54
34.
What is the sum of the first ten terms of the sequence 4, -12, 36, -108 . . . ?
a)
59,050
b)
-59,048
c)
-78,732
d)
118,096
35.
a)
149
b)
11,200
c)
5,600
d)
140
36.
Find the geometric sum
a)
-1456
b)
-4095
c)
1456
d)
4095
37.
Find the sum of the first 9 terms: -2 + -6 + -18 + ...
a)
-59,048
b)
-39,366
c)
-19,682
d)
-4,374
38.
What does the formula S = A1/(1-r) give you?
a)
The finite sum of an arithmetic series.
b)
The infinite sum of a geometric series.
c)
The partial sum of a geometric series.
d)
The infinite sum of an arithmetic series.
39.
Find the sum of the infinite geometric series, if it exists:
5 + 4 + 3.2 + 2.56 + ...
a)
25
b)
5
c)
-1
d)
0.8
40.
Find the geometric mean of 12 and 192
a)
4
b)
16
c)
48
d)
2304
41.
Solve for x. Round to the nearest tenth.
a)
103.5
b)
4.7
c)
55.0
d)
23.4
42.
Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.
a)
63 ft
b)
65 ft
c)
74 ft
d)
87 ft
43.
Find m<B
a)
A
b)
B
c)
C
d)
D
44.
Find BC
a)
A
b)
B
c)
C
d)
D
45.
Find m<A
a)
A
b)
B
c)
C
d)
D
46.
What is g(7) if:
a)
-17
b)
-13
c)
13
d)
17
47.
What is the RANGE?
a)
(-∞, +∞)
b)
(-∞, -1] U [3, +∞)
c)
[-1, +∞)
d)
(-1, -∞)
48.
What is the RANGE?
a)
(-∞, +∞)
b)
(-∞, -5) U [-2, +∞)
c)
(-∞, 2]
d)
(-∞, 2] U (2, +∞)
49.
What is the DOMAIN?
a)
(-∞, +∞)
b)
(-∞, -5) U [-2, +∞)
c)
(-∞, 2]
d)
(-∞, 2] U (2, +∞)
50.
What is the DOMAIN?
a)
(-∞, +∞)
b)
(-∞, 0) U [0, +∞)
c)
(-∞, -2] U (3, +∞)
d)
(-∞, 2] U (2, +∞)
51.
What is the RANGE?
a)
(-∞, +∞)
b)
(-∞, 0) U [0, +∞)
c)
(-∞, -2] U (3, +∞)
d)
(-∞, 2] U (2, +∞)
52.
Find the best fitting quadratic model for the data given.
a)
y = 1.2x2 + 13x + 504.3
b)
y = 12x2 + 13x + 504.3
c)
y = .12x2 + 1.3x + 504.3
53.
Calculate the MEAN for the data set: 6, 7, 12, 8, 7, 4, 8, 8, 7
a)
7
b)
7.44
c)
8
d)
7 and 8
54.
Calculate the MEDIAN for the data set: 6, 7, 12, 8, 7, 4, 8, 8, 7
a)
7
b)
7.44
c)
8
d)
7 and 8
55.
Calculate the MODE for the data set: 6, 7, 12, 8, 7, 4, 8, 8, 7
a)
7
b)
7.44
c)
8
d)
7 and 8
56.
How many 7th graders had an IQ score in the 81-90 range?
a)
13
b)
6.5
c)
3
d)
42
57.
Jorge’s score on Exam 1 in his statistics class was at the 64th percentile of the scores for all students. His score falls1.
a)
between the minimum and the first quartile.
b)
between the first quartile and the median.
c)
between the median and the third quartile.
d)
between the third quartile and the maximum.
e)
at the mean score for all students.
58.
The stem and leaf plot below shows the number of books bought by students in one book festival. Which of the following statements are true?
I. The range is 59.
II. The median is 38.5.
III. The mean is 37.
I. The range is 59.
II. The median is 38.5.
III. The mean is 37.
a)
I only
b)
II only
c)
III only
d)
I and II
59.
Bag A contains 9 red marbles and 3 green marbles. Bag B contains 9 black marbles and 6 orange marbles. Find the probability of selecting one green marble from bag A and one black marble from bag B.
a)
3/20
b)
1/4
c)
3/31
d)
2/27
60.
Given f(x) = (x-3)2 + 5. What transformations took place from the original function f(x)?
a)
Left 3 and up 5
b)
Right 3 and down 5
c)
Left 3 and down 5
d)
Right 3 and up 5
61.
Identify the transformation from the graph of f(x)=x2 to the graph g(x)= -(x+5)2
a)
shifted up five units
reflection in x-axis
reflection in x-axis
b)
shifted down five units
reflection in x-axis
reflection in x-axis
c)
shifted left 5 units
reflection x-axis
reflection x-axis
d)
shifted right 5 units
reflection x-axis
reflection x-axis
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