Deck 15: Algebraic Concepts 3

Question 1

If and , is A a subset of B?

A) yes
B) no

Answer 1

yes

Question 2

Find , the union of sets A and B.

A)
B)
C)
D)
E)

Answer 2

Question 3

Use or in blank place to indicate whether the given object is an element of the given set.

A)
B)

Answer 3

Question 4

Write the following set a second way.

A)
B)
C)
D)
E)

Question 5

Use notation to indicate all containment relations between the following two sets.

A)
B)
C)
D)
E)

Question 6

Find , the intersection of sets A and B.

A)
B)
C)
D)
E)

Question 7

Use or in blank place to indicate whether the given object is an element of the given set.

A)
B)

Question 8

Use or in blank place to indicate whether the given object is an element of the given set.

A)
B)

Question 9

Indicate whether the following sets are equal.

A)
B)

Question 10

Use notation to indicate which of the sets E and F is a subset of the other.

A)
B)
C)
D) and
E) and

Question 11

Assume thatand that U is the universal set of natural numbers less than 11. Find

A)
B)
C)
D)
E)

Question 12

Find , the intersection of sets A and B. and

A)
B)
C)
D)
E)

Question 13

Use or in blank place to indicate whether the given object is an element of the given set.

A)
B)

Question 14

Assume that and that U is the universal set of natural numbers less than 11. Find .

A)
B)
C)
D)
E)

Question 15

Find , the union of sets A and B.

A)
B)
C)
D) is the set of natural numbers.
E)

Question 16

Write the following set a second way.

A)
B)
C)
D)
E)

Question 17

If the sets A and B are nonempty and disjoint, what does equal?

A)
B)
C)
D)
E)

Question 18

Find , the intersection of sets A and B.

A)
B)
C)
D)
E)

Question 19

Is and

Question 20

Indicate whether the following sets are equal.

A)
B)

Question 21

Suppose that a survey of 100 advertisers in U.S. News, These Times, and World found the following. 15 advertised in all three
Advertised in These Times and U.S. News advertised in World and U.S. News advertised in World and These Times advertised in These Times advertised in U.S. News advertised in World How many advertised in U.S. News or These Times?

A)
B)
C)
D)
E)

Question 22

Find if the universal set

A)
B)
C)
D)
E)

Question 23

Assume that and that U is the universal set of natural numbers less than 11. Find .

A)
B)
C)
D)
E)

Question 24

In a survey of the dining preferences of 110 dormitory students at the end of the spring semester, the following facts were discovered about Adam's Lunch AL, Pizza Tower PT, and the Dining Hall DH. liked AL but not PT liked AL only liked AL liked PT liked DH liked PT and AL but not DH liked PT and DH How many liked all three?

A)
B)
C)
D) 0
E)

Question 25

Which property of the real numbers is illustrated in this equality?

A) additive identity
B) multiplicative inverse
C) associative
D) multiplicative identity
E) commutative

Question 26

Assume that and that U is the universal set of natural numbers less than 11. Find .

A)
B)
C)
D)
E)

Question 27

Which property of the real numbers is illustrated in this equality?

A) additive identity
B) multiplicative inverse
C) associative
D) multiplicative identity
E) commutative

Question 28

Find if the universal set

A)
B)
C)
D)
E)

Question 29

Assume that and that U is the universal set of natural numbers less than 11. Find .

A)
B)
C)
D)
E)

Question 30

Find if the universal set

A)
B)
C)
D)
E)

Question 31

Assume that and that U is the universal set of natural numbers less than 11. Find .

A)
B)
C)
D)
E)

Question 32

Indicate whether the given expression is one or more of the following types of numbers: rational, irrational, integer, natural.

A) integer
B) rational
C) rational, integer
D) rational, integer, natural
E) irrational

Question 33

Indicate whether the given expression is one or more of the following types of numbers: rational, irrational, integer, natural.

A) integer
B) rational
C) rational, integer
D) rational, integer, natural
E) irrational

Question 34

Indicate whether the given expression is one or more of the following types of numbers: rational, irrational, integer, natural. -1.2290

A) integer
B) rational
C) rational, integer
D) rational, integer, natural
E) irrational

Question 35

Suppose that a survey of 100 advertisers in U.S. News, These Times, and World found the following. 15 advertised in all three
Advertised in These Times and U.S. News advertised in World and U.S. News advertised in World and These Times advertised in These Times advertised in U.S. News advertised in World How many advertised only in These Times?

A) 13
B)
C) 3
D)
E)

Question 36

In a survey of the dining preferences of 110 dormitory students at the end of the spring semester, the following facts were discovered about AL, Pizza Tower PT, and the Dining Hall DH. liked AL but not PT liked AL only liked AL liked PT liked DH liked PT and AL but not DH liked PT and DH How many liked only DH?

A)
B) 14
C)
D)
E)

Question 37

Assume that and that U is the universal set of natural numbers less than 11. Find .

A)
B)
C)
D)
E)

Question 38

Indicate whether the given expression is one or more of the following types of numbers: rational, irrational, integer, natural. 3.23

A) integer
B) rational
C) rational, integer
D) rational, integer, natural
E) irrational

Question 39

Suppose that a survey of 100 advertisers in U.S. News, These Times, and World found the following. 15 advertised in all three
Advertised in These Times and U.S. News advertised in World and U.S. News advertised in World and These Times advertised in These Times advertised in U.S. News advertised in World How many advertised in none of these publications?

A)
B)
C)
D)
E)

Question 40

In a survey of the dining preferences of 110 dormitory students at the end of the spring semester, the following facts were discovered about Adam's Lunch AL, Pizza Tower PT, and the Dining Hall DH. liked AL but not PT liked AL only liked AL liked PT liked DH liked PT and AL but not DH liked PT and DH How many liked PT or DH?

A)
B) 25
C)
D)
E)

Question 41

Evaluate the following expression.

A) 46
B) 70
C) 54
D) 30
E) -46

Question 42

Choose the graph that represents this subset of the real numbers.

A)
B)
C)
D)
E)

Question 43

Evaluate the following expression.

A) 50
B) 34
C) 33
D) 6
E) 42

Question 44

Evaluate the following expression.

A) -6
B) 9
C) 6
D) 2
E) -2

Question 45

Evaluate the following expression.

A) 86
B) 7
C) -14
D) 43
E) -86

Question 46

Choose the inequality that describes the interval below.

A)
B)
C)
D)
E)

Question 47

Choose the proper symbol to replace .

A)
B)
C)

Question 48

Evaluate the following expression.

A) -4
B) 8
C) -2
D) 2
E) 7

Question 49

Choose the inequality that describes the graph below.

A)
B)
C)
D)
E)

Question 50

Name the type of interval shown in the graph below.

A) closed interval
B) open interval
C) half-open interval

Question 51

Express the graph below using interval notation.

A)
B)
C)
D)
E)

Question 52

Choose the interval which corresponds to

A)
B)
C)
D)
E)

Question 53

Express the inequality using interval notation.

A)
B)
C)
D)
E)

Question 54

Choose the proper symbol to replace . 3.14

A)
B)
C)

Question 55

Choose the proper symbol to replace .

A)
B)
C)

Question 56

Choose the proper symbol to replace . 0.1111

A)
B)
C)

Question 57

Name the type of interval expressed in the inequality.

A) closed interval
B) open interval
C) half-open interval

Question 58

Evaluate the following expression.

A) 5
B) 7
C) 14
D) 10
E) 11

Question 59

Evaluate the following expression.

A)
B)
C)
D)
E)

Question 60

Which property of the real numbers is illustrated in this equality?

A) additive identity
B) multiplicative inverse
C) additive inverse
D) multiplicative identity
E) associative

Question 61

Choose the graph that represents this subset of the real numbers.

A)
B)
C)
D)
E)
This graph represents the empty set.

Question 62

Choose the correct interval notation for this subset of the real numbers. and

A)
B)
C)
D)
E)

Question 63

Choose the correct interval notation for this subset of the real numbers.

A)
B)
C)
D)
E)

Question 64

Choose the graph that represents this subset of the real numbers. and

A)
B)
C)
D)
E)

Question 65

Use your calculator to approximate the following expression.

A) 2.83878377
B) 0.35226353
C) 3.52263533
D) 0.03522635
E) 28.3878377

Question 66

Use your calculator to approximate the following expression.

A) -1697.52766909
B) -3573.11265112
C) 1756.75804520
D) 1959.61518805
E) 84.03020602

Question 67

The approximate percent P of average income used to pay federal, state, and local taxes is given by , where t is the number of years after 1950. Approximate the tax load for year 2012. Round your answer to one decimal place.

A) 50.1%
B) 41.3%
C) 41.2%
D) 52.1%
E) 21.7%

Question 68

Choose the graph that represents this subset of the real numbers. and

A)
B)
C)
D)
E)
This graph represents the empty set.

Question 69

Use your calculator to approximate the following expression.

A) 524.69876294
B) 4232.01034237
C) 251.23401195
D) 1490.14448675
E) 184.75308554

Question 70

The approximate percent P of average income used to pay federal, state, and local taxes is given by , where t is the number of years after 1950. The actual tax load for 1980 was 33.8%. What does the formula give as an approximation? Round your answer to one decimal place.

A) 18.6%
B) 42.1%
C) 33.4%
D) 13.8%
E) 42.9%

Question 71

Choose the correct interval notation for this subset of the real numbers.

A)
B)
C)
D)
E)

Question 72

From data adapted from the National Center for Health Statistics, the height H in inches and age A in years for boys between 4 and 16 years of age are related according to . To account for normal variability among boys, normal height for a given age is of the height obtained from the equation. Find the inequality which represents the normal height range for a boy who is 13.75 years old. Round your answer to two decimal places.

A)
B)
C)
D)
E)

Question 73

Based on data adapted from the National Center for Health Statistics, the height H in inches and age A in years for boys between 4 and 16 years of age are related according to: . To account for normal variability among boys, normal height for a given age is of the height obtained from the equation. Find the inequality which represents the normal height range for a boy who is 8.25 years old. Round your answer to two decimal places.

A)
B)
C)
D)
E)

Question 74

The approximate percent P of average income used to pay federal, state, and local taxes is given by , where t is the number of years after 1950. Which t-value represents the year 1985?

A) 20
B) 35
C) 25
D) 30
E) 40