Free Printable Semester 2 Final Exam Review

1.

Multiply and Simplify

a)

4(x+3)/(x+2),

b)

(x+2)/4(x+1)

c)

(x+2)/4(x+3),

d)

4(x+1)/(x+2),

2.

Divide and Simplify

a)

A

b)

B

c)

C

d)

D

3.

Multiply and Simplify

a)

2(x+8) / (x-2)

b)

(x-2)

c)

(x+4) / (x-6)

d)

(x-4) / (x+8)

4.

Simplify.

a)

A

b)

B

c)

C

d)

D

5.

a)

a

b)

b

c)

c

d)

d

6.

a)

a

b)

b

c)

c

d)

d

7.

Divide and Simplify

a)

1/6

b)

x+10/ 6x+60

c)

x+8/ 6x+60

d)

(x+10)(x+8)/ 6x+60

8.

a)

a

b)

b

c)

c

d)

d

9.

a)

a

b)

b

c)

c

d)

d

10.

Multiply

a)

A.

b)

B.

c)

C.

d)

D.

11.

Divide

a)

A

b)

B

c)

C

d)

D

12.

a)

A

b)

B

c)

C

d)

D

13.

Multiply

a)

2x/(x-1)(x+3)

b)

3x+11/2x²+9x+5

c)

2/(x+1)(x+4)

d)

2/(x-1)(x+3)

14.

Multiply the rational expression below.

a)

6/(x+4)

b)

(x+7)(x-4)/3(x+5)

c)

(x-4)/6

d)

(x-4)/2

15.

Divide the rational expression below.

a)

(x+10)/(2x+5)

b)

6/(3(5x-1))

c)

12/(x+10)

d)

(x+10)/(2x+5)

16.

Multiply and Simplify

a)

$\frac{4\left(x+3\right)}{\left(x+2\right)}$

b)

$\frac{x+2}{4\left(x+1\right)}$

c)

$\frac{x+2}{4\left(x+3\right)}$

d)

$\frac{4\left(x+1\right)}{x+2}$

17.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

18.

Find the ratio for sinA. (Reduce the fraction)

a)

36/27

b)

4/5

c)

36/45

d)

3/5

19.

Which Trig function do you use?

a)

Sine

b)

Cosine

c)

Tangent

20.

Find the measure of the missing angle.

a)

90^o

b)

10⁰

c)

130^o

d)

50^o

21.

a)

$period:\ 6\pi$

b)

$period:\ 3\pi$

c)

$period:\ 2\pi$

d)

$period:\ 8\pi$

22.

a)

$amp:\ 1$

b)

$amp:\ 2$

c)

$amp:\ \frac{1}{2}$

d)

$amp:\ 0$

23.

a)

$amp:\ 4$

b)

$amp:\ 2$

c)

$amp:\ 1$

d)

$amp:\ 0$

24.

Find the cos B

a)

3/5

b)

3/4

c)

4/5

d)

5/4

25.

Which letter represents the OPPOSITE side to angle a?

a)

A

b)

B

c)

C

26.

Which of the following is the correct ratio for tan C?

a)

27/36

b)

27/45

c)

36/45

d)

36/27

27.

cos X = ?

a)

¹⁵/₁₇

b)

⁸/₁₇

c)

¹⁷/₈

d)

¹⁵/₈

28.

Choose the correct equation that could be used to solve for x.

a)

cos (33) = x / 14

b)

sin (33) = x / 14

c)

cos (33) = 14 / x

d)

sin (33) = 14 / x

29.

Choose the correct equation that would solve for x.

a)

sin (37) = x / 14

b)

cos (37) = x / 14

c)

tan (37) = x / 14

d)

sin (37) = 14 / x

30.

Which trig function would be used to solve for x?

a)

cosine

b)

tangent

c)

sine

31.

Which trig function would you use to solve for x?

a)

sine

b)

cosine

c)

tangent

32.

Solve by finding square roots and simplify completely:
$2x^2=20$

a)

$x=\pm10$

b)

$x=\sqrt{10}$

c)

$x=\pm\sqrt{10}$

d)

No real solutions

33.

Solve by factoring:
$x^2-36=0$

a)

$x=\pm6$

b)

$x=\pm36$

c)

$x=\pm18$

d)

No real solutions

34.

Solve by factoring:
$x^2+10x+24=0$

a)

$x=6\ or\ x=4$

b)

$x=\pm\sqrt{14}$

c)

$x=-6\ or\ x=-4$

d)

No real solutions

35.

Solve by factoring:
$x^2+2x-15=0$

a)

$x=3\ or\ x=-5$

b)

$x=\pm\sqrt{13}$

c)

$x=-3\ or\ x=5$

d)

No real solutions

36.

Solve by factoring:
$x^2-10x+16=0$

a)

$x=-2\ or\ x=-8$

b)

$x=\pm\sqrt{6}$

c)

$x=2\ or\ x=8$

d)

No real solutions

37.

Solve using the Quadratic Formula:
$x^2+10x+9=0$

a)

$x=1\ or\ x=9$

b)

$x=-1\ or\ x=-9$

c)

$x=-2\ or\ x=-18$

d)

No real solutions

38.

Solve using the Quadratic Formula:
$2x^2+6x-8=0$

a)

$x=2\ or\ x=-8$

b)

$x=-1\ or\ x=4$

c)

$x=1\ or\ x=-4$

d)

No real solutions

39.

Solve using the Quadratic Formula:
$x^2-7x+10=0$

a)

$x=2\ or\ x=5$

b)

$x=-2\ or\ x=-5$

c)

$x=4\ or\ x=10$

d)

No real solutions

40.

When factoring
x² - 4x + 4 = 20,
what goes in the blank?
(x - __ )² = 20

a)

4

b)

2

c)

8

d)

20

41.

Complete the square.
x² + 6x + ____

a)

x² + 6x + 9

b)

x² + 6x - 36

c)

x² + 6x + 36

d)

x² + 6x - 9

42.

Complete the Square
x² + 6x = 5

a)

(x + 3)² = 5

b)

(x + 6)² = 9

c)

(x + 3)² = 14

d)

(x + 6)² = 14

43.

Complete the square for
x² + 12x + ____

a)

x² + 12x + 144

b)

x² + 12x + 36

c)

x² + 12x - 36

d)

x² + +12x - 144

44.

Complete the square.
x² + 14x + ____

a)

x² + 14x - 196

b)

x² + 14x + 49

c)

x² + 14x - 49

d)

x² + 14x + 196

45.

Complete the Square
x² + 10x + ____

a)

x² + 10x - 100

b)

x² + 10x + 100

c)

x² + 10x - 25

d)

x² + 10x + 25

46.

What is one of the solutions to this equation?
(2x - 1)² = 49

a)

7

b)

-7

c)

-4

d)

-3

47.

Solve the equation by completing the square and then finding the roots.
x²+ 6x - 4 = 36

a)

x = -7, 7

b)

x = 4, -10

c)

x = -4 +- √7

d)

x = 10, -4

48.

Which inequality is shown?

a)

y< -x²

b)

y≤ -x²

c)

y> -x²

d)

y≥ -x²

49.

Which inequality is represented by the graph?

a)

y > (x - 3)² - 3

b)

y ≥ (x + 3)² - 3

c)

y > (x + 3)² - 3

d)

y ≥ (x - 3)² - 3

50.

a)

y ≥ -(x + 4)² + 1

b)

y < -(x - 4)² + 1

c)

y ≤ (x - 4)² + 1

d)

y ≤ -(x - 4)² + 1

51.

Which correctly shows the inequality $y<x^2-6x+13$ ?

a)

b)

c)

d)

52.

A bank's loan officer rates applicants for credit. The ratings can be described by a Normal model with a mean of 200 and a standard deviation of 50. What percentage ratings can be expected to be between 200 and 275?

a)

43.31%

b)

56.71%

c)

38.61%

d)

29.87%

53.

The lengths of human pregnancies can be described by a Normal model with a mean of 268 days and a standard deviation of 15 days. What percentage of pregnancies will last at least 300 days?

a)

1.64%

b)

98.36%

c)

12.34%

d)

56.19%

54.

A town's average snowfall is 48 inches per year with a standard deviation of 6 inches. Using a Normal model, what values should border the middle 50% of the model?

a)

44 and 52 inches

b)

42 and 54 inches

c)

40 and 50 inches

d)

40 and 60 inches

55.

For a recent English exam, the mean was 73 points and the standard deviation was 9.2 points. Find the percent of scores over 85.

a)

9.61%

b)

90.39%

c)

28.51%

d)

75.31%

56.

A standardized test has scores that can be described by a Normal model with a mean score was 100 points and a standard deviation of 10 points. What score is at the 25th percentile?

a)

93.26

b)

106.74

c)

90.32

d)

80

57.

Kristen is investigating the opinions of students at her high school on the new school hours proposed by the school board. Which of the following is her population of interest?

a)

All members of the school board

b)

All teachers at her school

c)

All students at her high school

d)

All students in the school district

e)

All high school students in the state

58.

A teacher at a culinary arts school will conduct an experiment to investigate which of three methods of instruction works best in teaching students how to make a good pie crust. Each student in a group of 60 students will be randomly assigned to one of three methods: in-person demonstration by the instructor, watching a video, and reading a recipe. The students will be assigned so that each method will have 20 students. Each pie crust made will be judged on its taste and texture. What are the treatments of the experiment?

a)

The 60 students

b)

The three methods of instruction

c)

The 20 students within each group

d)

The scores on taste and texture

e)

The 60 pie crusts made

59.

Which of the following is a benefit to using a random sample for an observational study?

a)

The random sample allows for different treatments to be assigned.

b)

A causal relationship can be determined.

c)

The results of the observational study can be generalized to the population.

d)

A random sample is the easiest method of data collection.

e)

The distribution of the sample will match the distribution of the population.

60.

The president of a small company needs to collect data on the educational background of all 20 of the company’s employees. Which of the following is the best method to use for data collection?

a)

A census

b)

A cluster sample

c)

A simple random sample

d)

A stratified sample

e)

A systematic random sample

61.

To estimate the size of a typical housing unit in a certain town, a sociologist plans to use a cluster sampling method to gather data. Which of the following describes a cluster sampling method?

a)

Randomly select a certain number of housing units in the town.

b)

Divide all housing units into three groups: small, medium, and large. Then randomly select a certain number from each group.

c)

Divide the town into nonoverlapping regions. Randomly select from the nonoverlapping regions, and select all housing units in those regions.

d)

Obtain a listing of all housing units currently for sale in the town, and use the size information given in the listing.

e)

Obtain the records kept by the town of all housing units in the town, and use the information in those records.

62.

The parts of the experiment that must be kept the same.

a)

Constants

b)

Independent variable

c)

Dependent variable

d)

Conclusion

63.

Why is the placebo effect used?

a)

To compare results between the real medicine and placebo

b)

To make new medicine

c)

To train doctors

d)

To make food

64.

How many variables should you change in an experiment?

a)

none

b)

only 1

c)

2 or more

d)

depends on the type of experiment

65.

The type of variable that responds to the experiment and is what you measure or count to determine if your hypothesis is true.

a)

Independent

b)

Dependent

c)

Control

66.

Dory set up an experiment to see how the mass of a ball affects the distance it rolls off a ramp. What is the dependent variable?

a)

distance traveled by the ball

b)

height of the ramp

c)

mass of the ball

d)

ball type

67.

A recent survey of 800 seventh graders from across the state shows 4 out of 10 like to play paper football. How many students said they like to play paper football?

a)

40 students

b)

200 students

c)

320 students

d)

8,000 students

68.

a)

5 red shirts

b)

17 red shirts

c)

40 red shirts

d)

83 red shirts

69.

Litzy collects data from a random sample of 7th graders. Out of 40 respondents, 7 attend afterschool programs. Of the 200 7th graders attending Litzy's school, how many would be expected to attend afterschool programs?

a)

14 7th graders

b)

28 7th graders

c)

35 7th graders

d)

42 7th graders

70.

12 ounce shampoo bottle lasts Mike 16 weeks. How long would you expect an 18-ounce bottle of the same brand to last him?

a)

24 weeks

b)

6 weeks

c)

30 weeks

d)

20 weeks

71.

A town has 35,000 registered voters. A random sample of 500 voters finds that 125 are in favor of a new dog park. How many are likely to vote for the dog park?

a)

25

b)

125

c)

2,625

d)

8,750

72.

a)

x = 49

b)

x = 53

c)

x = 45

d)

x = 18

73.

a)

36

b)

18

c)

-18

d)

27

74.

a)

x = 2

b)

x = 4

c)

x = 7

d)

x = 9

75.

a)

x = -6

b)

x = 3

c)

x = -3

d)

x = 5±

76.

Solve and check your solution(s).

a)

x = 2, 3

b)

x = -2, -3

c)

x = -1, -6

d)

No solution

77.

Solve.

a)

no solution

b)

6

c)

3

d)

4

78.

a)

A

b)

B

c)

C

d)

D

79.

Solve

a)

-14

b)

14

c)

no solution

d)

28

80.

Which function represents the given graph?

a)

b)

c)

d)

81.

a)

35/3

b)

35

c)

3

d)

7/3

82.

Solve

a)

x = -5

b)

x = 1/5

c)

No Solution

d)

x = -1

83.

Solve the equation.

a)

n = 27

b)

n = 18

c)

n = -18

d)

n = 36

84.

Solve the radical equation

a)

v = 9

b)

v = 82

c)

v = -9

d)

v = -82

85.

Solve

a)

v = -14

b)

v = 14

c)

No Solution

d)

v = 28

86.

Solve

a)

r = 2

b)

r = 1

c)

r = -1

d)

r = 8

87.

Solve.

a)

No Solution

b)

a = 6

c)

a = 3

d)

a = 4

88.

a)

No Solution

b)

x = 4

c)

x = 7

d)

x = 9

89.

a)

x = 5

b)

x = -6

c)

x = 14

d)

x = -1

90.

Solve

a)

x= -9

b)

x= -2 and 3

c)

x= 5

d)

x= 0

91.

On a Scale of 1-5 how well do you know the material in Chapter 5?

a)

1- I wouldn't even know where to start on any problem.

b)

2- I think I know how to get started, but something along the way confuses me.

c)

3- I understand it when you are talking about it, but struggle when working alone.

d)

4- I can complete some problems on my own, but struggle with longer problems with more steps.

e)

5- I can do all the problems independently. If I miss a problem it is because I am making simple errors when missing problems.

92.

Experimental Probability is:

a)

What will happen

b)

What actually happened

c)

What should happen

d)

What I think will happen

93.

How do you write 0.02 as a percent?

a)

20%

b)

200%

c)

2%

d)

.02%

94.

Theoretical Probability is?

a)

What Should happen

b)

What does happen

c)

What Will Happen

d)

What I want to Happen

95.

List the possible outcomes in the sample space for flipping a coin.

a)

heads

b)

tails

c)

heads and tails

d)

1,2,3,4,5,6

96.

How many total outfit options are represented?

a)

12

b)

22

c)

3

97.

How many outcomes are there with tossing a coin and rolling a dice?

a)

2

b)

6

c)

12

d)

24

98.

Neil tossed a 6-sided die 90 times. The results of his tosses are recorded in the table below: Which number has the experimental probability of 13/90?

a)

1

b)

2

c)

3

d)

4

e)

5

99.

Shannon has a bag of jelly beans. She removed one jelly bean, recording the color, and then replaced it. She repeated the process 44 times and record her results in the table. What is the experimental probability of her selecting a red jelly bean?

a)

b)

c)

d)

100.

Two marbles are drawn from a container in such a way that the first marble drawn is replaced before selecting the second marble. Does the outcome of the first draw affect the outcome of the second?

a)

Yes

b)

No

101.

There are 6 red marbles, 5 green marbles, and 4 yellow marbles in a bag. If Joe picks 2 marbles one after the other without replacement, then what is the probability that both are red in color?

a)

2/5

b)

1/21

c)

4/25

d)

1/7

102.

There are 2 violet balls and 4 pink balls in a bag. If two balls are drawn one after the other, then what is the probability of getting violet first and pink next, if the first ball drawn is replaced?

a)

1/3

b)

2/9

c)

1/6

d)

1/4

103.

There are 5 red roses, 3 yellow roses, and 8 white roses in a tray. If Stephanie picked 2 roses one after the other without replacing, then what is the probability of picking a white rose first and a red rose next?

a)

1/6

b)

5/6

c)

1/3

d)

2/3

104.

In a bag containing 15 billiard balls of three colors - red, yellow and white, Frank picks a ball at random, notes down the color and replaces it. He repeats this experiment 25 times and the results are shown in the table.

a)

6 yellow, 9 red, 1 white

b)

2 yellow, 5 red, 8 white

c)

5 yellow, 8 red, 2 white

d)

5 yellow, 10 red, 5 white

105.

A basket contains 5 purple pencils and 9 brown pencils. If two pencils are picked at random one after the other without replacement, then what is the probability that both the pencils are purple?

a)

9/182

b)

5/182

c)

2/91

d)

10/91

106.

What is the probability of rolling an even number on the first roll of a number cube and rolling an odd number on the second roll?

a)

1/4

b)

1

c)

1/8

d)

1/2

107.

Two fair coins are tossed. What is the probability of getting at most one head? (Hint: Create a sample space)

a)

1/2

b)

3/4

c)

1/4

d)

1

108.

A box contains all the letters of the word U N D E R S T A N D. What is the probability of selecting an 'N' first and a 'D' next, if the first letter is replaced?

a)

3/50

b)

1/25

c)

1/10

d)

2/5

109.

How many people were surveyed to create this two-way table?

a)

112

b)

151

c)

19

d)

282

110.

What value should go in the box for total number of cat owners?

a)

131

b)

95

c)

34

d)

85

111.

How many people do not own a dog?

a)

131

b)

95

c)

34

d)

85

112.

This is an example of:

a)

Linear Growth

b)

Linear Decay

c)

Exponential Growth

d)

Exponential Decay

113.

This is an example of:

a)

Linear Growth

b)

Linear Decay

c)

Exponential Growth

d)

Exponential Decay

114.

This is an example of:

a)

Linear Growth

b)

Linear Decay

c)

Exponential Growth

d)

Exponential Decay

115.

This is an example of:

a)

Linear Growth

b)

Linear Decay

c)

Exponential Growth

d)

Exponential Decay

116.

This is an example of: $f\left(x\right)=\ 25\ \left(\ 0.20\right)^x$

a)

Linear Growth

b)

Linear Decay

c)

Exponential Growth

d)

Exponential Decay

117.

How do you know that this was exponential decay? $f\left(x\right)=\ 25\ \left(\ 0.20\right)^x$

a)

Because the 25 was bigger than one

b)

Because the 0.20 was bigger than one

c)

Because the 25 was less than one

d)

Because the 0.20 was less than one

118.

This is an example of: $f\left(x\right)=\ 0.25\ \left(\ 1.3\right)^x$

a)

Linear Growth

b)

Linear Decay

c)

Exponential Growth

d)

Exponential Decay

119.

How do you know that this was exponential growth? $f\left(x\right)=0\ .25\ \left(\ 1.3\right)^x$

a)

Because the 0.25 was bigger than one

b)

Because the 1.3 was bigger than one

c)

Because the 0.25 was less than one

d)

Because the 1.3 was less than one

120.

This is an example of: $f\left(x\right)=90\ \left(\ \frac{1}{2}\right)^x$

a)

Linear Growth

b)

Linear Decay

c)

Exponential Growth

d)

Exponential Decay

121.

How do you know that this was exponential decay? $f\left(x\right)=90\ \left(\ \frac{1}{2}\right)^x$

a)

Because the 90 was bigger than one

b)

Because the 1/2 was bigger than one

c)

Because the 90 was less than one

d)

Because the 1/2 was less than one

122.

This is an example of: $f\left(x\right)=3\ \left(\ \frac{5}{2}\right)^x$

a)

Linear Growth

b)

Linear Decay

c)

Exponential Growth

d)

Exponential Decay

123.

How do you know that this was exponential growth? $f\left(x\right)=3\ \left(\ \frac{5}{2}\right)^x$

a)

Because the 3 was bigger than one

b)

Because the 5/2 was bigger than one

c)

Because the 3 was less than one

d)

Because the 5/2 was less than one

124.

What is the base of a natural log?

a)

10

b)

e

c)

2

d)

5

125.

What is another way to write $\log_e$

a)

LN (natural log)

b)

$2^x$

c)

y = mx + b

d)

$\sqrt{e}$

126.

When compounding interest CONTINUOUSLY, what base is used in the formula?

a)

t

b)

r

c)

n

d)

e

127.

Evaluate ln 5. Round to the nearest tenth.

a)

5

b)

1.6

c)

e

d)

1.9

128.

Evaluate ln e

a)

1

b)

e

c)

2

d)

undefined

129.

Condense the Logarithm $5\log_{ }a\ -\ 25\log_{ }b$

a)

$\log\ \left(a^5+b^{25}\right)$

b)

$\log\ \left(a^5-b^{25}\right)$

c)

$\log\ \left(ab\right)^{25}$

d)

$\log_{ }\ \left(\frac{a^5}{b^{25}}\right)$

130.

Condense $3\log_{ }x+4\log_{ }y\ +\log_{ }z$

a)

$\log_{ }\ x^3y^4z$

b)

$12\log_{ }\ xyz$

c)

$\log_{ }\ 3x4yz$

d)

logx³y³z³

131.

Use the change-of-base formula to evaluate $\log_211$

a)

$3.459$

b)

$4.359$

c)

$5.123$

d)

2.345

132.

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)

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

133.

Identify the common difference.
97, 86, 75, 64, ...

a)

8

b)

11

c)

-11

d)

-8

134.

Given the sequence:

25, 21, 17, 13,...

Write the explicit equation that models the sequence.

a)

a_n = 4n + 29

b)

a_n = - 4n + 25

c)

a_n= - 4n + 29

d)

a_n = 4n + 25

135.

Find the first term of the given sequence:
a₁₄=68
d=3

a)

14

b)

20

c)

26

d)

29

136.

Find the 32nd term of this sequence.

34, 37, 40, 43, ...

a)

32

b)

127

c)

64

d)

356

137.

a₁=5, a₂=11, a₁₅=?

a)

95

b)

89

c)

81

d)

159

138.

A theater has 32 rows of seats. If there are 26 seats in the 1st row, 30 in the 2nd, 34 in the 3rd, and so on, how many seats are there in all? Assume the pattern continues.

a)

2,791 seats

b)

150 seats

c)

2,816 seats

d)

2,829 seats

139.

A small hardware store makes a profit of $20,000 during its first year. The owner sets a goal of increasing profits by $5,000 each year for 10 years. Assuming the goal is met, what is the total profit for the first 11 years of business?

a)

$500,000

b)

$495,000

c)

$325,000

d)

$460,000

140.

Calculate the sum. $\sum_{n=1}^{11}\ 10n+4$

a)

66

b)

14

c)

704

d)

114

141.

Find the first 5 terms of the sequence defined recursively then write the explicit rule for the sequence.
$a_1=6,\ \ \ a_{k+1}=a_k+2$

a)

8, 10, 12, 14, 16 $a_n=2n+6$

b)

6, 4, 2, 0. -2 $a_n=-2n+8$

c)

8, 6, 4, 2, 0 $a_n=10-2n$

d)

6, 8, 10, 12, 14 $a_n=2n+4$

142.

Determine the number of terms in the finite arithmetic sequence.
3 + 10 + 17 + 24 + ..., $S_n=1125$

a)

20

b)

17

c)

18

d)

24

143.

Given the formula for a geometric sequence, $a_1$ stands for $a_n=a_1r^{n-1}$

a)

common difference

b)

wanted term

c)

common ratio

d)

first term

144.

$a_n=a_1r^{n-1}$

Given the formula for a geometric sequence , r stands for

a)

common difference

b)

wanted term

c)

common ratio

d)

first term

145.

The next term of sequence 2,4,8,16 is

a)

64

b)

108

c)

32

d)

20

146.

The next term in the series is 4,16,32,

a)

256

b)

120

c)

132

d)

150

147.

$a_n=a_1r^{n-1}$

Consider the first six terms of this sequence : 3,6,12,24,48,96….. What would be the 19th term of the sequence

a)

393216

b)

786432

c)

1572864

d)

1162261467

148.

What is the common ratio of the geometric sequence whose first term is 5 and third term in 245?

a)

7

b)

49

c)

120

d)

240

149.

$a_n=a_1r^{n-1}$

Find the 7th term in the sequence when the first term is 2, and the common ratio is 4

a)

8192

b)

32768

c)

2048

d)

512

150.

Which of the following expresses 1+3+5+...+39

a)

$\sum_{k=1}^{20}2k-1$

b)

$\sum_{k=2}^{40}k-1$

c)

$\sum_{k=-1}^{37}k+2$

d)

$\sum_{k=1}^{39}2k-1$

151.

Find the sum of the first 10 terms for the series: -1 + 2 + 5 + 8 + ...

a)

122

b)

125

c)

128

d)

131

152.

A geometric series is as follows: 40 + 36 + 32.4 + ...

Find the sum of this series.

a)

300

b)

400

c)

500

d)

600

153.

Find S_n for the given series:
a₁=22
d=-8
n=21

a)

1911

b)

-1449

c)

-2436

d)

-1218

154.

What is the sum of the first 10 terms for the following geometric series:
2-6+18-54+...

a)

59048

b)

-29524

c)

524288

d)

3069

155.

Find the sum if possible

a)

16

b)

48

c)

36

d)

not possible

156.

Find the sum for the following series.

a)

44

b)

-162

c)

-682

d)

324

157.

Which recursive formula best describes the following sequence:
3, 8, 13, 18, 23...

a)

a_n = (3)^n-1 ; a₁=5

b)

a_n = (5)^n-1 ; a₁=3

c)

a_n = a_n-1+3 ; a₁=5

d)

a_n = a_n-1+5 ; a₁=3

158.

To add and subtract fractions the terms need to have a common what?

a)

Numerator

b)

Denominator

c)

Coefficient

d)

Constant

159.

The math concept of least common multiple is abbreviated to what?

a)

LCM

b)

LED

c)

GCF

d)

LCD

160.

What is the common denominator for: $\frac{9}{y}-\frac{n}{2}$

a)

2y

b)

9n

c)

18

d)

ny

161.

What is the common denominator for: $\frac{7}{b^2}-\frac{3}{c^2}$

a)

$b^4c^4$

b)

bc

c)

$b^2c^2$

d)

4bc

162.

Simplify: $\frac{6n}{5}-\left(2n-5\right)$

a)

$\frac{-4n+25}{5}$

b)

$\frac{-4n-25}{5}$

c)

$\frac{16n-25}{5}$

d)

$\frac{4n-25}{5}$

163.

Subtract, factor, simplify

a)

A

b)

B

c)

C

d)

D

164.

Perform the indicated operation and simplify completely

a)

A

b)

B

165.

Perform the indicated operation and simplify completely

a)

A

b)

B

166.

Perform the indicated operation and simplify completely

a)

A

b)

B

167.

Subtract

a)

A

b)

B

c)

C

d)

D

168.

Multiply and Simplify

a)

4(x+3)/(x+2)

b)

(x+2)/4(x+1)

c)

(x+2)/4(x+3)

d)

4(x+1)/(x+2)

169.

Simplify

a)

a

b)

b

c)

c

d)

d

170.

Add

a)

A.

b)

B.

c)

C.

d)

D.

171.

Simplify

a)

A.(x+7)/(x-4)

b)

B.-3/4

c)

C.(x+3)/(x+4)

d)

D.(x+3)/(x-4)

172.

Multiply and Simplify

a)

4(x+3)/(x+2),

b)

(x+2)/4(x+1)

c)

(x+2)/4(x+3),

d)

4(x+1)/(x+2),

173.

Divide and Simplify

a)

A

b)

B

c)

C

d)

D

174.

a)

A

b)

B

c)

C

d)

D

175.

a)

A

b)

B

c)

C

d)

D

176.

a)

A

b)

B

c)

C

d)

D

177.

Simplify the expression

a)

(12n² + 28n + 4) / (2n-5)(n+2)

b)

(12n² - 28n + 4) / (2n-5)(n+2)

c)

(8n) / (3n + 3)

d)

(12n² + 2n -3) / (2n-5)(n+2)

178.

Add.

a)

A

b)

B

c)

C

d)

D

179.

Multiply and Simplify

a)

4(x+3)/(x+2),

b)

(x+2)/4(x+1)

c)

(x+2)/4(x+3),

d)

4(x+1)/(x+2),

180.

Divide and Simplify

a)

A

b)

B

c)

C

d)

D

181.

Multiply and Simplify

a)

2(x+8) / (x-2)

b)

(x-2)

c)

(x+4) / (x-6)

d)

(x-4) / (x+8)

182.

Simplify.

a)

A

b)

B

c)

C

d)

D

183.

a)

a

b)

b

c)

c

d)

d

184.

a)

a

b)

b

c)

c

d)

d

185.

Divide and Simplify

a)

1/6

b)

x+10/ 6x+60

c)

x+8/ 6x+60

d)

(x+10)(x+8)/ 6x+60

186.

a)

a

b)

b

c)

c

d)

d

187.

a)

a

b)

b

c)

c

d)

d

188.

Multiply

a)

A.

b)

B.

c)

C.

d)

D.

189.

Divide

a)

A

b)

B

c)

C

d)

D

190.

a)

A

b)

B

c)

C

d)

D

191.

Multiply

a)

2x/(x-1)(x+3)

b)

3x+11/2x²+9x+5

c)

2/(x+1)(x+4)

d)

2/(x-1)(x+3)

192.

Multiply the rational expression below.

a)

6/(x+4)

b)

(x+7)(x-4)/3(x+5)

c)

(x-4)/6

d)

(x-4)/2

193.

Divide the rational expression below.

a)

(x+10)/(2x+5)

b)

6/(3(5x-1))

c)

12/(x+10)

d)

(x+10)/(2x+5)

194.

Multiply and Simplify

a)

$\frac{4\left(x+3\right)}{\left(x+2\right)}$

b)

$\frac{x+2}{4\left(x+1\right)}$

c)

$\frac{x+2}{4\left(x+3\right)}$

d)

$\frac{4\left(x+1\right)}{x+2}$

195.

A bank's loan officer rates applicants for credit. The ratings can be described by a Normal model with a mean of 200 and a standard deviation of 50. What percentage ratings can be expected to be between 200 and 275?

a)

43.31%

b)

56.71%

c)

38.61%

d)

29.87%

196.

The lengths of human pregnancies can be described by a Normal model with a mean of 268 days and a standard deviation of 15 days. What percentage of pregnancies will last at least 300 days?

a)

1.64%

b)

98.36%

c)

12.34%

d)

56.19%

197.

A town's average snowfall is 48 inches per year with a standard deviation of 6 inches. Using a Normal model, what values should border the middle 50% of the model?

a)

44 and 52 inches

b)

42 and 54 inches

c)

40 and 50 inches

d)

40 and 60 inches

198.

For a recent English exam, the mean was 73 points and the standard deviation was 9.2 points. Find the percent of scores over 85.

a)

9.61%

b)

90.39%

c)

28.51%

d)

75.31%

199.

A standardized test has scores that can be described by a Normal model with a mean score was 100 points and a standard deviation of 10 points. What score is at the 25th percentile?

a)

93.26

b)

106.74

c)

90.32

d)

80

200.

A town has a speed limit of 45 mph. If the speeds of cars traveling in the town can be described by a Normal model with a mean of 48 mph and a standard deviation of 3.5 mph, what percent of cars are exceeding the speed limit?

a)

80.43%

b)

19.56%

c)

23.86%

d)

75%

201.

A town's average snowfall is 48 inches per year with a standard deviation of 6 inches. Using a Normal model, what percent of snow fall amounts will be between 40 and 50?

a)

53.93%

b)

46.07%

c)

37.19%

d)

72.34%

202.

A bank's loan officer rates applicants for credit. The ratings can be described by a Normal model with a mean of 200 and a standard deviation of 50. What is the rating which cuts off the bottom 20%?

a)

157.92

b)

242.08

c)

189.34

d)

190.60

203.

6.5 CLT: Red blood cell counts of women are normally distributed with a mean of 4.577 and a standard deviation of 0.382. What percentage of women have red blood cell counts in the normal range from 4.2 to 5.4?

a)

82.3%

b)

77.8%

c)

72.6%

d)

68%

204.

In a survey of men in the United States (ages 20-29), the mean height was 69.6 inches with a standard deviation of 3.0 inches. Find the minimum height in the top 17.5% .

a)

69.98 in

b)

71.18 in

c)

72.40 in

d)

73.01 in

205.

The distances male long jumpers for State College jump are approximately normal with a mean of 263 inches and a standard deviation of 14 inches.
Suppose a male long jumper's jump ranked in the 75th percentile. How long was his jump?

a)

0.67 inch

b)

263 inches

c)

272.44 inches

d)

277.25 inches

206.

Suppose the amount of soda in a can is normally distributed; the mean is 16 oz and standard deviation is 0.4 oz. How much soda is in the heaviest 3% of cans?

a)

$\approx16.97\ oz$

b)

$\approx16.75\ oz$

c)

$\approx16.45\ oz$

d)

$\approx16.30\ oz$

207.

Alex's baby was in the 96th percentile for height when she was born. Given σ = 2 inches, and µ = 20 inches, how long was Alex's baby when she was born?

a)

23.5 inches

b)

20.15 inches

c)

17.45 inches

d)

37 inches

208.

Snobby University accepts only those graduate students who score in the top 5% of the GRE (Graduate Requirements Exam).

Given that µ = 151.3 and σ = 8.7, what is the lowest score you can get and still be accepted to SU? Round to the nearest whole number.

a)

165

b)

166

c)

170

d)

162

209.

Snobby University accepts only those graduate students who score in the top 5% of the GRE (Graduate Requirements Exam).

Given that µ = 151.3 and σ = 8.7, what is the lowest score you can get and still be accepted to SU? Round to the nearest whole number.

a)

165

b)

166

c)

170

d)

162

210.

Given a mean of 75 and a standard deviation of 7, what percentage of scores are between 75 and 82?

a)

68%

b)

81.5%

c)

16%

d)

34%

211.

The average weight of a newborn is 7.5 pounds, with a standard deviation of 1.25 pounds. Birth weight follows the standard normal curve. What percent of newborns weigh 5 pounds or less at birth?

a)

2.35%

b)

0.15%

c)

2.5%

d)

50%

212.

What shape is a normal distribution curve?

a)

Half curve

b)

Round curve

c)

Bell curve

d)

Square curve

213.

The normal curve is symmetrical about the mean.

a)

True

b)

False

214.

The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days.

About what percent of the products last between 12 and 15 days?

a)

68%

b)

34%

c)

16%

d)

2.5%

215.

According to the empirical rule, what percentage of data falls within 1 standard deviation of the mean?

a)

25%

b)

68%

c)

95%

d)

99.7%

216.

According to the empirical rule, how much of the data falls within 2 standard deviations of the mean?

a)

25%

b)

68%

c)

95%

d)

99.7%

217.

The area under the normal curve is 1.

a)

True

b)

False

218.

If this is the graph of data normally distributed with a mean of 30 and a standard deviation of 5, what label (number) is written at the blue circle?

a)

20

b)

15

c)

40

d)

30

219.

If this is the graph of data normally distributed with a mean of 30 and a standard deviation of 5, what label (number) is written at the blue circle?

a)

40

b)

35

c)

45

d)

50

220.

_______ is a part of a group being surveyed.

a)

Sample

b)

Population

c)

Random Sample

d)

Quartile

221.

_________ is a sample in which each individual or object in the entire population has na equal chance of being selected.

a)

Sample

b)

Population

c)

Random Sample

d)

Quartile

222.

_______ is the entire group of objects or individuals considered for a survey.

a)

Sample

b)

Population

c)

Random Sample

d)

Quartile

223.

The manager of a book store surveys people who buy mystery novels to see if the store should expand its hours. What is the population?

a)

People who visit the bookstore.

b)

People who buy mystery novels.

c)

Residents of the town

d)

People who like to read.

224.

A student surveys mathematics teachers to get their opinion on teaching. What is the sample?

a)

All teachers in the world.

b)

All teachers within the school.

c)

All mathematics teachers in the school.

d)

All teachers except mathematics teachers.

225.

A computer manufacturer surveys its customers who purchased laptop computers to ask what software the company should include with its computer. Identify the population.

a)

Customers who purchased laptop computers.

b)

Customers of the store.

c)

Customers who are interested in software.

d)

Computer manufacturers

226.

A music store gives comment cards to all members of its Jazz Club to find out about satisfaction with the club's features. Identify the sample.

a)

People who play instruments.

b)

All music store customers except Jazz Club members.

c)

All music store customers

d)

Jazz Club members

227.

A scientist studies a herd of mule deer to learn about their dietary habits. Identify the population.

a)

All animals

b)

Mule deer

c)

Deer

d)

Mules

228.

A new cable TV station wants to study the viewing habits of households. The station surveys every household that purchased a new TV within the last 2 years in New York. Is this random sampling?

a)

Yes

b)

No

229.

A U.S. senator from Maine wants to find out the opinion of the voters in his state on issues concerning education. The office of the senator sends out a survey to a random sample of registered voters in Maine. Is this random sampling?

a)

Yes

b)

No

230.

A U.S. senator from Maine wants to find out the opinion of the voters in his state on issues concerning education. The office of the senator passes out surveys on ten street corners in the five major cities in the state of Maine. Is this random?

a)

Yes

b)

No

231.

Kim surveys 100 moviegoers that entered the movie theater in the first hour. What type of sampling method is this?

a)

Random

b)

Convenience

c)

Biased

232.

Tom surveys 40 moviegoers by randomly choosing their names. What type of sampling method is this?

a)

Random

b)

Convenience

c)

Biased

233.

The Candlelit-Dinner Candle Store surveys its Monday customers to find out their opinion on a new scented candle. Is this biased or unbiased?

a)

Biased

b)

Unbiased

234.

A teacher decides to survey the students in her classes to find out their opinion on the new menu in the cafeteria. Is this biased or unbiased?

a)

Biased

b)

Unbiased

235.

The TV station wants to get the opinion of viewers on the look of a new game-show set. The station's staff calls random people in the phone book. Is this biased or unbiased?

a)

Biased

b)

Unbiased

236.

An automobile dealer surveys its customers to determine their level of satisfaction with the services provided at the dealership. The sample is chosen from a list of e-mail addresses. Is this biased or unbiased?

a)

Biased

b)

Unbiased

237.

A company famous for its nacho-flavored corn chips has developed two new formulas, A and B, which they hope their customers will like even more than the original formula. To determine whether customers prefer one of the new formulas over the current nacho flavoring, a sample of 50 customers is obtained. Each customer tastes both formula A and formula B in a randomly assigned order and indicates which one they prefer more. Which of the following best describes this study?

a)

This study is not well designed because there is no replication. Each customer tasted the formulas only once.

b)

This study is not well designed because formulas A and B are not compared with the original formula.

c)

This study is not well designed because the sample may not have been randomly selected.

d)

This study is not well designed because each customer should taste the two new formulas in the same order.

e)

This study is not well designed because there is not enough replication with only 50 customers.

238.

Thirty-six students at a local middle school were randomly selected to participate in a taste test to select a new menu item for a cafeteria. Each student was given a choice between the macaroni and cheese and the Cajun potato barrels. From the sample, 20 students selected macaroni and cheese and 16 students chose the Cajun potato barrels. Each student was asked to rate the item they chose on a scale from 1 (extremely dislike) to 9 (extremely like). Which of the following prevents this study from being a well-designed experiment?

a)

There was no replication because students did not eat both menu items.

b)

The treatments (new menu item) were not randomly assigned to the students.

c)

An item that is currently on the menu should have been used as a control.

d)

Students should not have been randomly selected.

e)

There were no problems, and the study was a well-designed experiment.

239.

Diane wanted to demonstrate which pruning technique was best for controlling the growth of certain types of shrubs. She selected ten shrubs of the same type and randomly assigned each one to receive one of ten different pruning methods. Two weeks after pruning, she measured the regrowth, in inches, of the shrubs; the pruning method that minimized regrowth was recommended as the best method. Which of the following best describes why this is not a well-designed experiment?

a)

The shrubs were not randomly selected.

b)

Pruning methods were not randomly assigned to shrubs.

c)

Each pruning method was used on only one shrub.

d)

Each shrub did not receive all ten pruning methods.

e)

Only two treatments should be used in an experiment.

Semester 2 Final Exam Review

Total questions: 239

Worksheet time: 20hrs 50mins

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