Free Printable Algebra 2 MidTerm Exam Review

1.

A researcher randomly assigned students to two groups. One group was assigned to watch a violent television program while the other group watched a nonviolent program. The student's behavior was then recorded for incidences of aggressive behavior. Which research method is most appropriate?

a)

experimental

b)

census

c)

sample survey

d)

observational study

2.

Dr. Larson was interested in whether classical music helps students perform better on a test. Dr. Larson randomly assigned half of the study's participants to a group that listened to classical music while taking a test. The other half of the participants did not listen to music while taking a test. Which research method is most appropriate?

a)

sample survey

b)

experiment

c)

observational study

d)

census

3.

Jane Goodall lived among wild chimpanzees intermittently for decades, studying their social and family systems while keeping her interaction with the chimpanzees to a minimum. Which research method is most appropriate?

a)

biased study

b)

census

c)

experiment

d)

observational study

4.

A psychologist designed a study to test the effects of cell phone use on driving safety. Participants were randomly assigned either to drive an automobile simulator while talking to a friend on a cell phone or to drive a simulator without talking on a phone.

Which type of research does the scenario describe?

a)

Census

b)

Observational Study

c)

Sample Survey

d)

Experiment

5.

To test the effects of eating breakfast on test grades. I randomly select half of my students and feed them breakfast while giving the other half nothing to eat. I then give them all a test and compare the test grades of each group.

Is this an experiment or an observational study?

a)

Experiment

b)

Observational study

c)

Neither

d)

Both experiment and observational study.

6.

A hospital wants to open a gym. They ask the night-shift ER staff when they would use the gym. Is this sample biased or unbiased?

a)

Biased

b)

Unbiased

c)

Not able to be determined.

d)

Both Biased and Unbiased.

7.

Ghala wanted to know what the most popular book was in the whole school, so she asked everybody in 11th grade what their favorite book was. Which research method is most appropriate?

a)

Sample Survey

b)

Census

c)

Experiment

d)

Hypothesis Test

8.

Osman wanted to know what this weekends favorite movie was among RBHS students so he asked everyone at RBHS and counted the number of movie preferences.

Which research method is most appropriate?

a)

Census

b)

Sample Survey

c)

Experiment

d)

Biased Sample

9.

A researcher stood at a school parking lot entrance to see if the color of a car is related to the driver not wearing a seat belt.

Which research method is most appropriate?

a)

Observational Study

b)

Experiment

c)

Census

d)

Correlation

10.

Four groups of randomly selected people are assigned a different diet. After six months, the blood pressures of each group are compared.

Which research method is most appropriate?

a)

Observational Study

b)

Experiment

c)

Census

d)

Sample Survey

11.

To find the average of a set of numbers, add up all the items and divide by...

a)

2

b)

The minimum

c)

The maximum

d)

The number of items

12.

Which number is not the mean, median, mode, or range of the data set 4, 3, 15, 11, 3, 8, 7, 5?

a)

3

b)

6

c)

12

d)

11

13.

What is the mode?

a)

# happening the most

b)

the average

c)

biggest - smallest

d)

the middle #

14.

Roger bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the range of Roger's scores?

a)

193

b)

127

c)

60

d)

66

15.

The scores awarded to 25 students for an assignment were as follows:
4 7 5 9 8 6 7 7 8 5 6 9 8 5 8 7 4 7 3 6 8 9 7 6 9
What is the mode?

a)

6

b)

7

c)

8

d)

9

16.

Find the mean of these numbers:
5,11,2,12,4,2

a)

4.1

b)

6

c)

4.5

d)

4

17.

Find the median, mode and range:
3, 5, 7, 9, 11, 8, 3

a)

median:7 mode:3 range:8

b)

median:6 mode:3 range:7

c)

median:7 mode:3 range:8

18.

The number of pages that Carolyn wrote in her journal each day from Monday to Friday is shown below:
9, 8, 12, 6, 10
What is the mean number of pages she wrote per day?

a)

5

b)

6

c)

9

d)

11

19.

The number of miles that Jenna cycled each week for a 7-week period is shown:
36, 42, 28, 52, 48, 36, 31
What is the median number of miles Jenna cycled?

a)

24

b)

36

c)

39

d)

52

20.

What is the mode of this data set?
84, 92, 68, 79, 94,
84, 92, 79, 84, 68

a)

68

b)

79

c)

84

d)

92

21.

What is the mean?

a)

# happening the most

b)

the number in the middle

c)

biggest-smallest

d)

the average

22.

I found the mean of my data and it is 25. What two mathematical processes did I use?
32, 15, 15, 52, 11

a)

Addition and Subtraction

b)

Addition and Division

c)

Addition and Multiplication

d)

Multiplication and Subtraction

23.

If the mean of a data set is 10, what is the missing piece of data?
5, 4, 7, 15, 12, ___

a)

7

b)

17

c)

20

d)

16

24.

Find the range of the data set
1.43,1.05,34,56,89,1.1

a)

87.9

b)

87.57

c)

87.95

d)

89

25.

Find the Mean:
-35, -17, -9, -5, -5, 0, 0, 3

a)

-5

b)

-8.5

c)

-5, 0

d)

38

26.

A data set can have more than one median?

a)

True

b)

False

c)

What's a Median?

27.

Paulo got these markers in three tests: 72, 80 and 82. He had one more test to sit. He wanted an average of 80 for the four tests. What mark must he get in the fourth test?

a)

78

b)

80

c)

84

d)

86

28.

Xavier Men's Basketball Team scored the following amounts of points over the last ten games:
83, 90, 98, 81, 90, 88, 85, 74, 56, 90
Find the mean of the data set.

a)

835

b)

83.5

c)

74.7

d)

80.2

29.

Find the mean average and the median of the following numbers:
18, 27, 46, 32, 99, 87, 84, 30, 96, 80

a)

Mean= 59.9; Median = 46

b)

Mean= 60.2, median = 46

c)

Mean = 59.9; Median= 63

d)

Mean = 60.2, Median = 63

30.

Find the range of the data.

63, 71, 65, 66, 87, 53

a)

32

b)

33

c)

34

d)

35

31.

The range is the difference between the greatest and the least values in a data set.

a)

True

b)

False

32.

Quartiles are values that divide a data set into four equal parts.

a)

True

b)

False

33.

Given the data:

136, 150, 119, 150, 125, 140.

Find the upper quartile (Q3).

a)

125

b)

150

c)

139.5

d)

143

34.

Given the scores below:

6, 7, 8, 9, 11, 13, 15

Find the lower quartile (Q1).

a)

13

b)

7

c)

9

d)

6

35.

Find the IQR of the data below.

20, 22, 25, 29, 31

a)

30

b)

21

c)

25

d)

9

36.

Ervin bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142.

What is the range of Ervin's scores?

a)

193

b)

127

c)

60

d)

66

37.

The heights of some students are given.

158cm 172cm 164cm

164cm 167cm 159cm

What is the range of the heights?

a)

13 cm

b)

330 cm

c)

164 cm

d)

14 cm

38.

Find the IQR of the following set of scores.

12, 9, 4, 6, 5, 8, 9, 4, 10, 2

a)

5

b)

9

c)

10

d)

No IQR

39.

Find the first quartile (Q1), third quartile (Q3), and interquartile range (IQR) of the data.

32, 53, 72, 66, 47, 54, 49, 67, 71

a)

Q1: 49

Q3: 67

IQR: 18

b)

Q1: 48

Q3: 69

IQR: 21

c)

Q1: 48

Q3: 69

IQR: 22

d)

Q1: 49

Q3: 69

IQR: 20

40.

Determine the mean absolute deviation (MAD) of the data below.

9, 7, 11, 10, 8

a)

9

b)

6

c)

1.2

d)

5

41.

What is the first step when calculating the Mean Absolute Deviation?

a)

Find the distance each value is from the mean

b)

Find the mean of the distances

c)

Find the mean of the data

d)

$a^2+b^2=c^2$

42.

Find the mean absolute deviation (MAD).

58, 38, 54, 48, 26, 36

a)

43

b)

20

c)

10

d)

12

43.

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

a)

y = 15(35)^x

b)

y = 15(1.35)^x

c)

y = 15(0.35)^x

d)

y = 35(1.15)^x

44.

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

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None

45.

Is this exponential growth or decay?

a)

Growth

b)

Decay

46.

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

a)

y=6(0.14)^x

b)

y=6(1+14)^x

c)

y=6(1.14)^x

d)

y=6(0.86)^x

47.

A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?

a)

14327

b)

4309

c)

839

d)

7680

48.

Cooper purchased a new truck for $35,000. Each year it depreciates at a rate of 5%. How much will the truck be worth in 8 years?

a)

$23,219.72

b)

$136.72

c)

$51,710.94

d)

$16,710.94

49.

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)

9766

b)

9006

c)

9765

d)

5433

50.

A stamp gets more expensive each year. It increases in value by 60 % each year. What is the growth FACTOR?

a)

.6

b)

1.06

c)

1.6

d)

.4

51.

Suppose you deposit $3000 in a savings account that pays interest at an annual rate of 4%. What is the growth factor?

a)

.96

b)

1.4

c)

1.04

d)

$3000

52.

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

a)

Growth

b)

Decay

53.

What is a, the initial amount, for the function: f(x) = 300(1.16)^x?

a)

300

b)

1.16

c)

.16

d)

x

54.

What does the a in y=a(1+r)^x represent?

a)

Time

b)

Rate

c)

Slope

d)

Initial Amount

55.

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

a)

y = 15(35)^x

b)

y = 15(1.35)^x

c)

y = 15(0.35)^x

d)

y = 35(1.15)^x

56.

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

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None

57.

Is this exponential growth or decay?

a)

Growth

b)

Decay

58.

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

a)

y=6(0.14)^x

b)

y=6(1+14)^x

c)

y=6(1.14)^x

d)

y=6(0.86)^x

59.

A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?

a)

14327

b)

4309

c)

839

d)

7680

60.

Cooper purchased a new truck for $35,000. Each year it depreciates at a rate of 5%. How much will the truck be worth in 8 years?

a)

$23,219.72

b)

$136.72

c)

$51,710.94

d)

$16,710.94

61.

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)

9766

b)

9006

c)

9765

d)

5433

62.

A stamp gets more expensive each year. It increases in value by 60 % each year. What is the growth FACTOR?

a)

.6

b)

1.06

c)

1.6

d)

.4

63.

Suppose you deposit $3000 in a savings account that pays interest at an annual rate of 4%. What is the growth factor?

a)

.96

b)

1.4

c)

1.04

d)

$3000

64.

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

a)

Growth

b)

Decay

65.

What is a, the initial amount, for the function: f(x) = 300(1.16)^x?

a)

300

b)

1.16

c)

.16

d)

x

66.

What does the a in y=a(1+r)^x represent?

a)

Time

b)

Rate

c)

Slope

d)

Initial Amount

67.

What is the domain and range of the function y=2^x?

Use the graph to help!

a)

Domain: $\left(-\infty,\infty\right)$

Range: $\left(0,\infty\right)$

b)

Domain: $\left(-\infty,\infty\right)$

Range:

\left(-\infty,\infty\right)

c)

Domain: $\left(0,\infty\right)$

Range:

\left(0,\infty\right)

d)

Domain: $\left(-4,\infty\right)$
Range: $\left(-\infty,\infty\right)$

68.

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

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None

69.

Classify the following graph.

a)

Exponential Growth

b)

Exponential Decay

c)

Logarithmic

70.

In an exponential function, what does the 'b' represent?

a)

SLOPE

b)

RATE

c)

Y-INTERCEPT

d)

initial value

71.

Growth or Decay?

a)

A

Growth

b)

B

Decay

72.

What is the y-intercept of the function?

a)

2

b)

3

c)

1

d)

-2

73.

Is this exponential growth or decay?

a)

Growth

b)

Decay

74.

What is the range of the function shown?

a)

(0,12)

b)

(-2, 5)

c)

(0, ∞)

d)

(-∞, ∞)

75.

Given y=3^xdetermine the y-intercept

a)

(0,1)

b)

(0,3)

c)

No Y-intercept

d)

y=1

76.

What is the horizontal asymptote for the graph of

f(x)=13(0.5)^x?

a)

y=0.5

b)

y=13

c)

y=6

d)

y=0

77.

What is the horizontal asymptote for the graph of

f(x)=2(3)^x ?

a)

y=2

b)

y=0

c)

y=3

d)

x=-4

78.

For $f\left(x\right)=4\cdot3^x$ , find the correct graph, asymptote, domain and range. *IGNORE END BEHAVIOR*

a)

b)

79.

For $f\left(x\right)=3^x$ , find the correct graph, asymptote, domain and range. *IGNORE END BEHAVIOR*

a)

b)

80.

For $f\left(x\right)=\left(\frac{1}{2}\right)^x$ , find the correct graph, asymptote, domain and range. *IGNORE END BEHAVIOR*

a)

b)

81.

Which graph corresponds to the exponential function $y=4^x$ ?

a)

b)

c)

d)

82.

Choose the graph the matches the equation: $f\left(x\right)=5\left(2\right)^x$

a)

b)

c)

d)

83.

Choose the graph that matches the equation: $f\left(x\right)=4\left(\frac{1}{2}\right)^x$

a)

b)

c)

d)

84.

Identify the y-intercept of the graph of the exponential function:

y=3\left(\frac{1}{2}\right)^x

a)

(3,0)

b)

(1/2, 0)

c)

(0,0)

d)

(0,3)

85.

Identify the horizontal asymptote for the exponential function: $y=\frac{1}{4}\left(3\right)^x-9$

a)

y = 0

b)

y = 3

c)

y = -9

d)

No Horizonal Asymptote

86.

$y=-4\left(2\right)^x-3$

Identify the range of the exponential function.

a)

$\left(-3,\infty\right)$

b)

$\left(-\infty,-3\right)$

c)

$\left(-4,\infty\right)$

d)

$\left(-\infty,-4\right)$

87.

Identify the y-intercept (initial value) in the function f(x)=13(.27)^x

a)

(.27)^x

b)

.27

c)

13

d)

3.51

88.

Classify
f(x)=4/5(.8)^x-9

a)

Exponential Growth

b)

Exponential Decay

89.

Write the equation of the graph.

a)

f(x) = 5^x+ 2

b)

f(x) = 3^x - 2

c)

f(x) = 3^x + 2

d)

f(x) = -3^x +2

90.

The asymptote is

a)

y = 3

b)

x = 3

c)

y = 2

d)

x = 2

91.

What is the equation that best represents the graph?

a)

y=2^y

b)

y=2^x

c)

y=2^-x

d)

y=x²

92.

Write in logarithmic form.
5² = 25

a)

log₅2 = 25

b)

log₂25 = 5

c)

log₂₅5 = 2

d)

log₅25 = 2

93.

Write in exponential form.
log₂32 = 5

a)

2^-5 = 32

b)

2³² = 5

c)

2⁵ = 32

d)

32⁵ = 2

94.

Write in logarithmic form.
5² = 25

a)

log₅2 = 25

b)

log₂25 = 5

c)

log₂₅5 = 2

d)

log₅25 = 2

95.

Write log₂ 0.25 = -2 in exponential form

a)

-2²= 0.25

b)

-2^0.25= 2

c)

2^-2= 0.25

d)

No correct answer

96.

Rewrite 3⁴ = 81 in logarithmic form.

a)

log₃4 = 81

b)

log₈₁3 = 4

c)

log₃81 = 4

d)

log₄81 = 3

97.

Change to Exponential Form:
log₆36 = 2

a)

2⁶=36

b)

6²=36

c)

36²=6

d)

36⁶=2

98.

Rewrite 3⁴ = 81 in logarithmic form.

a)

log₃4 = 81

b)

log₈₁3 = 4

c)

log₃81 = 4

d)

log₄81 = 3

99.

Rewrite log_pt = m in exponential form.

a)

p^t = m

b)

t^m = p

c)

m^t = p

d)

p^m = t

100.

Change to Exponential Form:
log₆36 = 2

a)

2⁶=36

b)

6²=36

c)

36²=6

d)

36⁶=2

101.

Write log_b(xy) as two logs

a)

log_bx+log_by

b)

log_bx-log_by

c)

log_bx*log_by

d)

log_bx/log_by

102.

Write log_b(x/y) as two logs

a)

log_bx-log_by

b)

log_bx+log_by

c)

log_bx*log_by

d)

log_bx/log_by

103.

Rewrite log_b(xⁿ)

a)

nlog_bx

b)

(log_bx)ⁿ

c)

xⁿlog_bx

d)

log_b(xⁿ)

104.

Write the expression as a single logarithm. Then simplify if possible.
log₅3 + log₅6 + log₅9

a)

log₅69

b)

log₅56

c)

log₅162

d)

log₅98

105.

Condense

a)

A

b)

B

c)

C

d)

D

106.

Condense

a)

A

b)

B

c)

C

d)

D

107.

a)

log₅(x²z²y¹⁰)

b)

log₅(z²y²x¹⁰)

c)

log(zy²x¹⁰)

d)

log₅(z² + y²+ x¹⁰)

108.

a)

log(x) + log(z) + 4log(y)

b)

3log(x) − log(z) − 4log(y)

c)

3log(x) + log(z) + 4log(y)

d)

log(x) − 4log(z) − 3log(y)

109.

Expand

a)

6log₈v-2log₈u

b)

6log₈u-2log₈v

c)

3log₈u-2log₈v

d)

6log₈u+2log₈v

110.

Simplify: $\log_4\left(x+4\right)-\log_4\left(x-5\right)$

a)

$\log_49$

b)

$\log_4\left(2x-1\right)$

c)

$\log_4\left(x^2-x-20\right)$

d)

$\log_4\left(\frac{x+4}{x-5}\right)$

111.

Expand.

a)

1/3 log x + log y + log z

b)

1/3 log x + 1/3 log y + 1/3 log z

c)

1/3 log x - 1/3 log y - 1/3 log z

d)

3 log x + 3 log y + 3 log z

Algebra 2 MidTerm Exam Review

Total questions: 111

Worksheet time: 8hrs 2mins

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