, Chapter 0: Fundamental Concepts of Algebra
1. Determine which numbers in the set are integers.
8.75, 20, – 6 , 0, 7.0, – 5
A) 20, 0, 7.0, – 5
B) 8.75, 20, 0, 7.0, – 5
C) 20, 0
D) 20, – 6 , 0, – 5
E) 20, 0, – 5
Ans: A
2. Determine which numbers in the set are natural numbers.
–8, 8, 1, 16, 0, –16, 5
A) 8, 1, 16, 0, 5
B) 8, 1, 16
C) 8, 1, 0
D) 8, 1
E) –8, 8, 1, 0, –16
Ans: B
3. Determine which numbers in the set are rational numbers.
8 19
4.1515..., 2, , 82, , – 5.010010001..., 64
9 3
A) 19
4.1515..., 2, , – 5.010010001...
3
B) 19
4.1515..., 2, , – 5.010010001..., 64
3
C) 19
2, 82, , 64
3
D) 19
4.1515..., 2, , 64
3
E) 8 19
4.1515..., 2, ,
9 3
Ans: D
Larson/Hodgkins, College Algebra with Applications for Business and the Life Sciences, 2e Page 1
,4. Determine which numbers in the set are irrational numbers.
65 28
–3.555..., , 0, , 25, – 3.090990999..., 3
8 9
A) 65 28
, , 25, 3
8 9
B) 65 28
, 0, , 25, 3
8 9
C) 65 28
, , – 3.090990999..., 3
8 9
D) 65 28
–3.555..., , , 25, – 3.090990999..., 3
8 9
E) 65 28
, , 3
8 9
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
6. Approximate the numbers and place the correct symbol (< or >) between them.
A) 1
–1 –1
2
B) 1
1 –1
2
C) 1
–1 1
2
D) 1
–2 –1
2
E) 1
–1 1
2
Ans: E
Larson/Hodgkins, College Algebra with Applications for Business and the Life Sciences, 2e Page 2
, 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.
5 4
– ,
13 3
A) 5 4
–
13 3
B) 5 4
–
13 3
Ans: A
9. Which graph represents the inequality?
–2 x 8
A)
) [
–2 8
B)
] [
–2 8
C)
( ]
–2 8
D)
( )
–2 8
E)
[ ]
–2 8
Ans: C
Larson/Hodgkins, College Algebra with Applications for Business and the Life Sciences, 2e Page 3
1. Determine which numbers in the set are integers.
8.75, 20, – 6 , 0, 7.0, – 5
A) 20, 0, 7.0, – 5
B) 8.75, 20, 0, 7.0, – 5
C) 20, 0
D) 20, – 6 , 0, – 5
E) 20, 0, – 5
Ans: A
2. Determine which numbers in the set are natural numbers.
–8, 8, 1, 16, 0, –16, 5
A) 8, 1, 16, 0, 5
B) 8, 1, 16
C) 8, 1, 0
D) 8, 1
E) –8, 8, 1, 0, –16
Ans: B
3. Determine which numbers in the set are rational numbers.
8 19
4.1515..., 2, , 82, , – 5.010010001..., 64
9 3
A) 19
4.1515..., 2, , – 5.010010001...
3
B) 19
4.1515..., 2, , – 5.010010001..., 64
3
C) 19
2, 82, , 64
3
D) 19
4.1515..., 2, , 64
3
E) 8 19
4.1515..., 2, ,
9 3
Ans: D
Larson/Hodgkins, College Algebra with Applications for Business and the Life Sciences, 2e Page 1
,4. Determine which numbers in the set are irrational numbers.
65 28
–3.555..., , 0, , 25, – 3.090990999..., 3
8 9
A) 65 28
, , 25, 3
8 9
B) 65 28
, 0, , 25, 3
8 9
C) 65 28
, , – 3.090990999..., 3
8 9
D) 65 28
–3.555..., , , 25, – 3.090990999..., 3
8 9
E) 65 28
, , 3
8 9
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
6. Approximate the numbers and place the correct symbol (< or >) between them.
A) 1
–1 –1
2
B) 1
1 –1
2
C) 1
–1 1
2
D) 1
–2 –1
2
E) 1
–1 1
2
Ans: E
Larson/Hodgkins, College Algebra with Applications for Business and the Life Sciences, 2e Page 2
, 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.
5 4
– ,
13 3
A) 5 4
–
13 3
B) 5 4
–
13 3
Ans: A
9. Which graph represents the inequality?
–2 x 8
A)
) [
–2 8
B)
] [
–2 8
C)
( ]
–2 8
D)
( )
–2 8
E)
[ ]
–2 8
Ans: C
Larson/Hodgkins, College Algebra with Applications for Business and the Life Sciences, 2e Page 3
