Test Bank For College Algebra and Calculus: An Applied Approach
Chapter 0: Fundamental Concepts of Algebra
Chapter 0: Fundamental Concepts of Algebra
1. Determine which numbers in the set are integers.
0.77, 4, –8 , 0, 6.0, –8
A) 4, 0, 6.0, –8
B) 0.77, 4, 0, 6.0, –8
C) 4, 0
D) 4, –8 , 0, –8
E) 4, 0, –8
Ans: A
2. Determine which numbers in the set are natural numbers.
–13, 6, 11, 49, 0, – 9, 65
A) 6, 11, 49, 0, 65
B) 6, 11, 49
C) 6, 11, 0
D) 6, 11
E) –13, 6, 11, 0, – 9
Ans: B
3. Determine which numbers in the set are rational numbers.
2 7
–1.5252..., 16, , 5, , 4.070070007..., 81
3 2
A) 7
–1.5252..., 16, , 4.070070007...
2
B) 7
–1.5252..., 16, , 4.070070007..., 81
2
C) 7
16, 5, , 81
2
D) 7
–1.5252..., 16, , 81
2
E) 2 7
–1.5252..., 16, ,
3 2
Ans: D
1
,Test Bank For College Algebra and Calculus: An Applied Approach
Chapter 0: Fundamental Concepts of Algebra
4. Determine which numbers in the set are irrational numbers.
5 14
1.222..., , 0, – , 64, 9.090990999..., 5
2 3
A) 5 14
, – , 64, 5
2 3
B) 5 14
, 0, – , 64, 5
2 3
C) 5 14
, – , 9.090990999..., 5
2 3
D) 5 14
1.222..., , – , 64, 9.090990999..., 5
2 3
E) 5 14
, – , 5
2 3
Ans: C
5. Approximate the numbers and place the correct symbol (< or >) between them.
A) –3 < 3.75
B) –3 < –3.25
C) –3 < 3.25
D) –3 > 3.25
E) –3 > 3.75
Ans: C
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,Test Bank For College Algebra and Calculus: An Applied Approach
Chapter 0: Fundamental Concepts of Algebra
6. Approximate the numbers and place the correct symbol (< or >) between them.
A) 1
2 –4
2
B) 1
–2 –4
2
C) 1
2 4
2
D) 1
1 –4
2
E) 1
2 4
2
Ans: E
7. Plot the two real numbers on the real number line. Then place the appropriate inequality
symbol (< or >) between them.
2, –3
A) 2 < –3
B) 2 > –3
Ans: B
8. Plot the two real numbers on the real number line. Then place the appropriate inequality
symbol (< or >) between them.
7 1
– ,
10 17
A) 7 1
–
10 17
B) 7 1
–
10 17
Ans: A
3
, Test Bank For College Algebra and Calculus: An Applied Approach
Chapter 0: Fundamental Concepts of Algebra
9. Which graph represents the inequality?
–2 x 5
A)
) [
–2 5
B)
] [
–2 5
C)
( ]
–2 5
D)
( )
–2 5
E)
[ ]
–2 5
Ans: C
10. Give a verbal description of the subset of real numbers represented by the inequality.
1x8
A) all real numbers less than 1 and greater than 8
B) all real numbers between 1 and 8 not including 1 or 8
C) all real numbers between 1 and 8, including 1 but not including 8
D) all real numbers between 1 and 8, including 8 but not including 1
E) all real numbers between 1 and 8, including 1 and 8
Ans: D
11. Use inequality notation to describe the set.
n is positive
A) n
B) n
C) n0
D) n0
E) n0
Ans: E
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