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Semester 2 Performance Final Exam Review

Total questions: 80

Worksheet time: 1hrs 20mins

Name
Class
Date
1.

Is the pictured graph growth, decay, linear or none?  

a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
2.
What is the equation of this table?
a)
y=512(1/4)x
b)
y=32(4)x
c)
y=32(1/4)x
d)
y=512(4)x
3.
What type of function is y = 7(5/4)x?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None of the above
4.

A chemist has a 100-gram sample of a radioactive material.  He records the amount of radioactive material every week for 6 weeks and obtains the following data: Find the exponential model of the function. What is the rate of decay?

a)

99%

b)

100%

c)

12%

d)

88%

5.
Which of the equations below represent this table?
a)
y=3⋅(36)x
b)
y=36⋅(3)x
c)
y=3⋅(⅓)x
d)
y=36⋅(⅓)x
6.
A population of 1500 deer decreases by 1.5% per year. At the end of 10 years, there will be approximately 1290 deer in the population. Which function can be used to determine the number of deer, y, in this population at the end of t years?
a)
y = 1500(1 - 0.015)t
b)
y = 1500(0.015)t
c)
y = 1500(1 + 0.015)t
d)
y = 1500(1.5)t
7.
A new savings account is opened with $400 and gains 3% every year. What is the exponential function?
a)
f(x)=400(1+3)x
b)
f(x)=400(1-0.03)x
c)
f(x)=400(1+0.03)x
d)
f(x)=400(0.03)x
8.

Greenville is having a blizzard. It has already snowed 1 inch and the total will double each hour. Write an equation for the total inch of snow in x hour.

a)

y=1(2)x

b)

y=1(1/2)x

c)

y=2(1/2)x

d)

y=2(2)x

9.
What type of function is f(x)=2(1/7)x ?
a)
Exponential Growth
b)
Linear
c)
Exponential Decay
d)
None of the Abovee
10.

Jamie's podcast has 1,400 subscribers. The number of her subscribers is increasing at a rate of 5.9% each week. Which function would represent her followers after w weeks?

a)

y = 1400(1.059)w

b)

y = 105.9(1400)w

c)

y = 1400(1.59)w

d)

y = 1400(5.9)w

11.

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?

a)

9765

b)

9006

c)

5433

d)

9766

12.
Solve: 7-x = 49
a)
x = 1
b)
x = -1
c)
x = 2
d)
x = -2
13.
Sovle for x:
5-3x - 1 = 25
a)
x = -1
b)
x = -4
c)
x = -3
d)
x = 1
14.
Solve 33 = 34x + 2
a)
x = ¼
b)
x = -¼
c)
x = ½
d)
x = -½
15.
83x+3 = 86
a)
x=28
b)
x=3
c)
x=1
d)
x=12
16.
What is f(1)?
a)
1
b)
5
c)
0
d)
4
17.
What is the range of this graph?
a)
y = 6
b)
(0, -4)
c)
y > -6
d)
y < -6
18.
What is the y-intercept of the function?
a)
2
b)
3
c)
1
d)
-2
19.

Identify the growth factor (b-value) of the function f(x)=2(4)x.

a)

2

b)

4

c)

(2)x

d)

8

20.

Which equation best represents the graph above?

a)

f(x)=5(.5)x

b)

f(x)=5(.25)x

c)

f(x)=10(5)x

d)

f(x)=10(.75)x

21.

Which of the following statements about the graph above is true?

a)

The range is the set of all real numbers less than 0.

b)

The domain is the set of all real numbers less than 0.

c)

The domain is the set of all real numbers greater than 0.

d)

The range is the set of all real numbers greater than 0.

22.

What is the transformation from y = 3xy\ =\ 3^x ?

a)
Vertical Translation up 2
b)
Vertical Translation down 2
c)
Horizontal Translation left 2
d)
Horizontal Translation right 2
23.

What is the transformation from y = 13xy\ =\ \frac{1}{3}^x ?

a)
Vertical Translation up 1
b)
Vertical Translation down 1
c)
Horizontal Translation left 1
d)
Horizontal Translation right 1
24.

Which graph best represents

y=2x−4y=2^x-4  

a)
b)
c)
d)
25.

How did the graph transform from the parent function?

y=-5(2)(x)

a)

Down 5

b)

Vertical Stretch by 5

c)

Left 2

d)

Right 2

e)

Reflected over the x-axis

26.

Given the original exponential function defined by y=4x, how would the graph change if the function were:

y=2(4)x-3+1?

a)

Vertically stretched by a factor of 2, right 3, and up 1

b)

Vertically compressed by a factor of 1/2, left 3 and down 1

c)

Vertically compressed by a factor of 1/2, right 3, and down 1

d)

Vertically stretched by a factor of 2, left 3, and up 1

27.

What is the asymptote of y = 2x - 3

a)

y = 0

b)

y = -3

c)

x = 0

d)

x = -3

28.

For y=a(b)x+ky=a\left(b\right)^x+k , how does adding a constant k transform the parent function?

a)

Horizontal shift

b)

Vertical Shift

c)

Reflection over the x-axis

d)

Reflection over the y-axis

29.

Krystal was given $3000 when she turned 2 years old. Her parents invested it at a 2% interest rate compounded annually. No deposits or withdrawals were made. Which expressions can be used to determine how much money Krystal had in the account when she turned 18?

a)

3000(1 + 0.02)16

b)

3000(1 - 0.02)16

c)

3000(1 + 0.02)18

d)

3000(1 - 0.02)18

30.

Mario's $15,000 car depreciates in value at a rate of 19% per year. The value, V, after t years can be modeled by the function V = 15,000(0.81)t. Which function is equivalent to the original function?

a)

V = 15,000(0.9)9t

b)

V = 15,000(0.9)2t

c)

V = 15,000(0.9)t/9

d)

V = 15,000(0.9)t/2

31.

Suppose you are saving for a new skateboard. You currently have $10 that you put in an envelope to save. Each week you put $5 in that envelope. If this were to be written as a function, how would 10 and 5 be represented?

a)

10 would be the slope; 5 would be the y-intercept

b)

10 would be the y-intercept; 5 would be the slope

c)

15 would be the y-intercept

d)

15 would be the slope

32.

Does this graph have a maximum or a minimum value?

a)

Maximum

b)

Minimum

33.

What type of graph is represented by the following equation.

y = x2 + 4x - 12

a)

Linear

b)

Quadratic

c)

Exponential

d)

None of these

34.
Which function is linear?
a)
f(x)
b)
h(x)
c)
g(x)
35.
Which function is quadratic?
a)
f(x)
b)
h(x)
c)
g(x)
36.

Is the table Linear, Exponential, Quadratic, or not a function at all?

a)

Linear

b)

Exponential

c)

Quadratic

d)

Not a function

37.

A(n) _________________ function will ADD the same number each time.

a)

Linear

b)

Quadratic

c)

Exponential

d)

All of the above

38.

A(n) _________________ function will MULTIPLY the same number each time.

a)

Linear

b)

Quadratic

c)

Exponential

d)

All of the above

39.

In the first year of an annual 5K run there were 120 participants. In the 2nd and 3rd year of the 5K run, there were 180 and 270 participants respectively. This situation is best modeled by a(n) ________________ function.

a)

Linear

b)

Quadratic

c)

Exponential

d)

None of the above

40.

Maggie is knitting blankets for the residents of a local nursing home. She already has 6 blankets completed. After one week, Kay has 8 blankets. After two weeks, Kay has 10 blankets. Kay's scenario is best represented by a _______________ function.

a)

Linear

b)

Quadratic

c)

Exponential

d)

None of the above

41.

How should this function be classified?

a)

Linear

b)

Exponential

c)

Quadratic

d)

None of the above

42.

True or False: All increasing exponential functions eventually exceed all increasing linear functions.

a)

True

b)

False

43.
What is the mode of this data set?
a)
10
b)
7
c)
18
d)
9
44.
What is the mode?
a)
The average
b)
The number that appears most often.
c)

The largest number minus the smallest number

d)
The number in the middle.
45.
Can there be more than one mode?
a)
Yes
b)
No
46.

Find the mean age. You may want to write out the table with an extra column.

a)

2.6

b)

6.5

c)

5.7

d)

5.5

47.
To find the _________ you add up all the numbers and then divide by how many numbers you have.
a)
Mean
b)
Median
c)
Mode
d)
Range
48.

What is the median of the data below?

20 , 3 , 17 , 1 , 5

a)

5

b)

17

c)

19

d)

9.2

49.
Which of the following is a measure of variability?
a)
mean
b)
median
c)
mode
d)
standard deviation
50.

All of the below sets have the same mean.
Set 1-Standard Deviation=3.1
Set 2-Standard Deviation=4.9
Set 3-Standard Deviation=1.7
Set 4-Standard Deviation=3.2
Which set of data has the points closest to the mean?

a)
1
b)
2
c)
3
d)
4
51.
What is the standard deviation for the data given:
{12, 13, 29, 18, 61, 35, 21}
a)
293.67
b)
15.87
c)
17.14
d)
41.98
52.

What does this symbol represent? x‾\overline{x}  

a)

standard deviation

b)

median

c)

mode

d)

mean

53.

Which of the following best describes the process of finding the range for a set of data?

a)
ADD the biggest and smallest numbers
b)
Place the number in order from least to greatest then find the middle.
c)
Find the difference between the Maximum and the Minimum.
d)
Find the average.
54.

Which of the following best describes the process of finding the interquartile range for a set of data?

a)
ADD the biggest and smallest numbers
b)
Place the number in order from least to greatest then find the middle.
c)
Find the difference between the Maximum and the Minimum.
d)
Subtract Q3 from Q1
55.

You must find the 5 number summary in order to make a box and whisker plot. 

a)
True
b)
False
56.

Which of the following lists all parts of the five number summary?

a)
Mean, Median, Mode, Range, and Total
b)
Minimum, Quartile 1, Median, Quartile 3, and Maximum 
c)
Smallest, Q1, Q2, Q3, and Q4
d)
Minimum, Maximum, Range, Mean, and Median
57.

Which city has a higher median?

a)
Millersburg
b)
Arcadia
58.

What is Millersburg's Q3 value?

a)
200
b)
260
c)
220
d)
140
59.

Which city has a minimum value that is lower?

a)
Millersburg
b)
Arcandia
60.

What is the median of the data?

a)
200
b)
100
c)
90
d)
140
61.

What percentage of the data is between 90 and 140?

a)
25 %
b)
50%
c)
75%
d)
100%
62.

What percentage of the data is between 40 and 150?

a)
25 %
b)
50%
c)
75%
d)
100%
63.
What is the range of the set of data?
a)
70
b)
65
c)
80
d)
55
64.
Which family on average is shorter?
a)
Maggie's 
b)
Lexi's
65.

The data set below has an outlier of 42.

2, 5, 12, 15, 19, 4, 6, 11, 16, 18, 12, 12, 42

What effect does removing the outlier have on the measures of center?

a)

The median will decrease

b)

The mean will decrease

c)

The mean will increase

d)

The median will increase

66.
Describe the data distribution shape of the graph.
a)
Skewed right
b)
Skewed left
c)
Uniform
d)
Symmetrical
67.
Describe the histogram:
a)
Left Skewed
b)
Symmetrical
c)
Right Skewed
d)
Uniform
68.
Which of the following best describes the shape of the distribution?
a)
SKEWED LEFT
b)
SKEWED RIGHT
c)
UNIFORM
d)
SYMMETRICAL
69.

When using IQR to find outliers, which formula will identify the lower limit?

a)

Q3 - 1.5(IQR)

b)

Q1 + 1.5(IQR)

c)

Q1 - 1.5(IQR)

d)

Q3 + 1.5(IQR)

70.

How many people visited different states?

a)

3

b)

7

c)

6

d)

8

71.

How many people exercised for at least 4 hours?

a)

2

b)

5

c)

0

d)

3

72.

How many data items are on this Dot Plot?

a)

4

b)

5

c)

15

d)

10

73.

How many people at the bowling alley were ages 6 to 25

a)

12

b)

5

c)

7

d)

16

74.

How many times did she practice for at least 30 minutes?

a)

6

b)

13

c)

9

d)

12

75.

50% of the Cruisers attended between 7 and 16 car shows.

a)
True
b)
False
76.
Find the slope of the line that goes through the points (-8,6) and (7,-3).
a)
1/3
b)
-1/3
c)
-3/5
d)
-5/3
77.

Which is the equation of the line that is parallel to the graph of y = 5x + 7 and has a y-intercept at (0, -2)?

a)

y = 5x - 2

b)

y = -2x + 7

c)

y = 5(x - 2)

d)

y = -1/5x - 2

78.
What slope is parallel to:  
m = 4
a)
4
b)
-1/4
c)
-4
d)
1/4
79.
What slope is perpendicular to:  
m = 5/8
a)
-5/8
b)
5/8
c)
-8/5
d)
8/5
80.

Write the equation of a line PERPENDICULAR to the line y = 3x + 2 that passes through the point (9, -2)

a)

y = -1/3x - 5

b)

y = 3x-29

c)

y = 1/3x -5

d)

y = -1/3x +1

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