Deck 1: Algebraic Concepts

Question 1

If and , is A a subset of B? ​

A)yes
B)no

Answer 1

yes

Question 2

Write the following set a second way. ​ ​

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

Indicate whether the following sets are equal. ​ , ​

A)
B)

Question 5

Find , the intersection of sets A and B. ​ ​

A)
B)
C)
D)
E)

Question 6

Find , the union of sets A and B. ​ and ​

A)
B)
C)
D)
E)

Question 7

Find , the union of sets A and B. ​ ​

A)
B)
C)
D)
Is a set of natural numbers.
E)

Question 8

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

A)
B)

Question 9

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

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

Question 10

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

A)
B)
C)
D)
And
E)
And

Question 11

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

A)
B)

Question 12

Indicate whether the following sets are equal. ​ , ​

A)
B)

Question 13

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 14

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

A)
B)
C)
D)
E)

Question 15

Find , the intersection of sets A and B. ​ and ​

A)
B)
C)
D)
E)

Question 16

Find , the intersection of sets A and B. ​ and ​

A)
B)
C)
D)
E)

Question 17

Write the following set a second way. ​ ​

A)
B)
C)
D)
E)

Question 18

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

A)
B)
C)
D)
E)

Question 19

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

A)
B)

Question 20

Is , if and ? ​

A)yes
B)no

Question 21

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 22

Indicate whether the given expression is one or more of the following types of numbers: rational, irrational, integer, natural. ​
-1)3787
​

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

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

Suppose that a survey of 100 advertisers in U.S. News, These Times, and World found the following. ​
6 advertised in all three
13 advertised in These Times and U.S. News
16 advertised in World and U.S. News
20 advertised in World and These Times
32 advertised in These Times
29 advertised in U.S. News
35 advertised in World
​
How many advertised in U.S. News or These Times?
​

A)48
B)96
C)11
D)17
E)18

Question 25

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

A)
B)
C)
D)
E)

Question 26

Indicate whether the given expression is one or more of the following types of numbers: rational, irrational, integer, natural. ​
2)03
​

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

Question 27

In a survey of the dining preferences of 36 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. ​
13 liked AL but not PT
1 liked AL only
21 liked AL
20 liked PT
25 liked DH
7 liked PT and AL but not DH
10 liked PT and DH
​
How many liked PT or DH?
​

A)15
B)16
C)99
D)6
E)35

Question 28

Suppose that a survey of 66 advertisers in U.S. News, These Times, and World found the following. ​
4 advertised in all three
12 advertised in These Times and U.S. News
23 advertised in World and U.S. News
24 advertised in World and These Times
34 advertised in These Times
39 advertised in U.S. News
48 advertised in World
​
How many advertised only in These Times?
​

A)2
B)121
C)34
D)6
E)66

Question 29

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 30

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 31

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 32

Find if the universal set . ​ , ​

A)
B)
C)
D)
E)

Question 33

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

A)
B)
C)
D)
E)

Question 34

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

A)
B)
C)
D)
E)

Question 35

Find if the universal set . ​ , ​

A)
B)
C)
D)
E)

Question 36

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 37

Find if the universal set . ​ , ​

A)
B)
C)
D)
E)

Question 38

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

A)
B)
C)
D)
E)

Question 39

In a survey of the dining preferences of 46 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. ​
23 liked AL but not PT
11 liked AL only
39 liked AL
18 liked PT
27 liked DH
7 liked PT and AL but not DH
10 liked PT and DH
​
How many liked all three?
​

A)26
B)14
C)101
D)9
E)46

Question 40

In a survey of the dining preferences of 54 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. ​
24 liked AL but not PT
20 liked AL only
37 liked AL
24 liked PT
22 liked DH
9 liked PT and AL but not DH
12 liked PT and DH
​
How many liked only DH?
​

A)10
B)6
C)74
D)18
E)22

Question 41

Express the inequality using interval notation. ​ ​

A)
B)
C)
D)
E)

Question 42

Name the type of interval shown in the graph below.

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

Question 43

Express the graph below using interval notation.

A)
B)
C)
D)
E)

Question 44

Evaluate the following expression. ​ ​

A)10
B)-6
C)4
D)-4
E)5

Question 45

Choose the proper , , or symbol to replace . ​ ​

A)
B)
C)

Question 46

Evaluate the following expression. ​ ​

A)82
B)-23
C)46
D)41
E)-82

Question 47

Choose the inequality that describes the graph below. ​

A)
B)
C)
D)
E)

Question 48

Choose the inequality that describes the interval below. ​ ​

A)
B)
C)
D)
E)

Question 49

Evaluate the following expression. ​ ​

A)
B)
C)
D)
E)

Question 50

Choose the proper symbol , , or to replace . ​ ​

A)
B)
C)

Question 51

Evaluate the following expression. ​ ​

A)7
B)13
C)39
D)21
E)31

Question 52

Choose the interval which corresponds to . ​

A)
B)
C)
D)
E)

Question 53

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

A)
B)
C)
D)
E)

Question 54

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

A)
B)
C)
D)
E)

Question 55

Choose the proper symbol , , or to replace . ​ ​

A)
B)
C)

Question 56

Evaluate the following expression. ​ ​

A)13
B)7
C)-13
D)-7
E)-9

Question 57

Choose the proper symbol , , or to replace . ​ ​

A)
B)
C)

Question 58

Evaluate the following expression. ​ ​

A)32
B)20
C)19
D)5
E)26

Question 59

Evaluate the following expression. ​ ​

A)-15
B)129
C)57
D)-87
E)15

Question 60

Name the type of interval expressed in the inequality. ​ ​

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

Question 61

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

A)
B)
C)
D)
E)

Question 62

Based on data adapted from the National Center for Health Statistics, the height in inches and age 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 5.5 years old. Round your answer to two decimal places. ​

A)
B)
C)
D)
E)

Question 63

The approximate percent of average income used to pay federal, state, and local taxes is given by , where is the number of years after 1950. Which -value represents the year 1995? ​

A)25
B)45
C)30
D)20
E)40

Question 64

Use the rules of exponents to simplify the expression. ​ ​

A)
B)
C)
D)
E)

Question 65

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

A)
B)
C)
D)
E)

Question 66

Use your calculator to approximate the following expression. ​ ​

A)4.43607384
B)0.22542456
C)2.25424561
D)0.02254246
E)44.3607384

Question 67

Evaluate the expression. ​ ​

A)8
B)16
C)-8
D)-16
E)4

Question 68

Evaluate the expression. ​ ​

A)-125
B)243
C)625
D)125
E)-625

Question 69

Use the rules of exponents to simplify the expression. ​ ​

A)
B)
C)
D)
E)

Question 70

The approximate percent of average income used to pay federal, state, and local taxes is given by , where is the number of years after 1950. Approximate the tax load for year 2009. Round your answer to one decimal place. ​

A)51.5%
B)39.6%
C)40.5%
D)52.1%
E)20.9%

Question 71

Evaluate the expression. ​ ​

A)
B)
C)8
D)
E)undefined

Question 72

Evaluate the expression. ​ ​

A)
B)
C)
D)
E)

Question 73

From data adapted from the National Center for Health Statistics, the height in inches and age 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 11.25 years old. Round your answer to two decimal places. ​

A)
B)
C)
D)
E)

Question 74

Use the rules of exponents to simplify the expression. ​ ​

A)
B)
C)
D)
E)

Question 75

Use your calculator to approximate the following expression. ​ ​
Round your answer to eight decimal places.
​

A)723.37354819
B)-5313.29879355
C)21.70120645
D)6123.37354819
E)86.70120645

Question 76

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

A)
B)
C)
D)
E)

Question 77

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

A)
B)
C)
D)
E)

Question 78

Use your calculator to approximate the following expression. ​ ​
Round your answer to eight decimal places.
​

A)13.86247993
B)22.35879389
C)23.47254512
D)17.60534952
E)10.91533853

Question 79

The approximate percent of average income used to pay federal, state, and local taxes is given by , where is the number of years after 1950. The actual tax load for 1970 was 31.4%. What does the formula give as an approximation? Round your answer to one decimal place. ​

A)21.0%
B)38.2%
C)30.9%
D)11.3%
E)33.6%

Question 80

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

A)
B)
C)
D)
E)