Exam (elaborations)
College Algebra 2nd Edition Test Bank
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College Algebra 2nd Edition Test Bank
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,Chapter 0 Review of Prerequisites0.1 Sets and the Real Number Line
0 Concept Connections
Provide the missing information.
1) A is a collection of items called elements.
Answer: set
Type: SA Var: 1
Objective: Concept Connections
2) W = {0, 1, 2, 3, ...} is called the set of numbers.
Answer: whole
Type: SA Var: 1
Objective: Concept Connections
3) N = {1, 2, 3, ...} is called the set of numbers.
Answer: natural
Type: SA Var: 1
Objective: Concept Connections
4) Z = {... , -3, -2, -1, 0, 1, 2, 3, ...} is called the set of .
Answer: integers
Type: SA Var: 1
Objective: Concept Connections
5) A set can be defined using - notation by using a description of the set.
Answer: set, builder
Type: SA Var: 1
Objective: Concept Connections
6) Listing elements in a set within set braces is called the method to define a set.
Answer: roster
Type: SA Var: 1
Objective: Concept Connections
7) Real numbers that can be expressed as a ratio of two integers are called numbers.
Answer: rational
Type: SA Var: 1
Objective: Concept Connections
8) An number is a real number that cannot be expressed as a ratio of two integers.
Answer: irrational
Type: SA Var: 1
Objective: Concept Connections
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, 9) The statement x < y means that x lies to the of y on the number line.
Answer: left
Type: SA Var: 1
Objective: Concept Connections
10) The of x is denoted by x .
Answer: absolute, value
Type: SA Var: 1
Objective: Concept Connections
11) Write an absolute value expression to represent the distance between a and b on the number line:
.
Answer: a - b or b - a
Type: SA Var: 1
Objective: Concept Connections
12) Given the expression bn, the value of b is called the and n is called the .
Answer: base, exponent or power
Type: SA Var: 1
Objective: Concept Connections
13) The symbol x represents the principal root of x.
Answer: square
Type: SA Var: 1
Objective: Concept Connections
0 5
14) The expression equals , whereas is .
5 0
Answer: 0, undefined
Type: SA Var: 1
Objective: Concept Connections
1 Identify Subsets of the Set of Real Numbers
Determine whether the statement is true or false.
1) 3 N
A) True B) False
Answer: A
Type: BI Var: 10
Objective: Identify Subsets of the Set of Real Numbers
2) 7.5 ∉ Z
A) True B) False
Answer: A
Type: BI Var: 50+
Objective: Identify Subsets of the Set of Real Numbers
Page 2
, 3) 6 ∈ N
A) False B) True
Answer: B
Type: BI Var: 20
Objective: Identify Subsets of the Set of Real Numbers
4) 0.15 ∈ Z
A) False B) True
Answer: A
Type: BI Var: 36
Objective: Identify Subsets of the Set of Real Numbers
2 Use Inequality Symbols and Interval Notation
Write the statement as an inequality.
1) u is at least 10.
A) u < 10 B) u ≤ 10 C) u > 10 D) u ≥ 10
Answer: D
Type: BI Var: 10
Objective: Use Inequality Symbols and Interval Notation
2) The quantity (t + 4) exceeds 31.
A) t + 4 ≤ 31 B) t + 4 < 31 C) t + 4 ≥ 31 D) t + 4 > 31
Answer: D
Type: BI Var: 50+
Objective: Use Inequality Symbols and Interval Notation
Determine whether the statement is true or false.
3) 13 < - 13
A) True B) False
Answer: B
Type: BI Var: 18
Objective: Use Inequality Symbols and Interval Notation
4) -3.51 > -3.51
A) False B) True
Answer: A
Type: BI Var: 50+
Objective: Use Inequality Symbols and Interval Notation
Express the set in interval notation.
5)
-3
A) [-3, ∞] B) [-3, ∞) C) (-∞, -3) D) (-3, ∞)
Answer: D
Type: BI Var: 40
Objective: Use Inequality Symbols and Interval Notation
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