INSTRUCTOR’S
SOLUTIONS MANUAL
C TRIMBLE & ASSOCIATES
M
E
E LEMENTARY
D
C
& I NTERMEDIATE A LGEBRA
FOURTH EDITION
O
N
N
Michael Sullivan, III
O
Joliet Junior College
I
Katherine R. Struve
S
Columbus State Community College
S
Janet Mazzarella
E
Southwestern College
U
R
with contributions by
Jessica Bernards
Portland Community College
Wendy Fresh
Portland Community College
, Contents
Chapter 1 1
M
Chapter 2 50
E
Chapter 3 124
D
Chapter 4 202
Chapter 5 267
C
Chapter 6 315
O
Getting Ready for Intermediate Algebra:
A Review of Chapters 1−6 362
N
Chapter 7 365
N
Getting Ready for Intermediate Algebra:
O
A Review of Chapters 1−7 443
Chapter 8 448
S I
Chapter 9 530
S
Chapter 10 606
E
Chapter 11 747
U
Chapter 12 812
Chapter 13 894
R
Appendix A 938
Appendix B 941
Appendix C 949
Appendix E 994
, Chapter 1
Section 1.2 10. 14 = 2 · 7
9= 3·3
1.2 Quick Checks
2·7·3·3
1. A natural number is prime if its only factors are
1 and itself. The LCM is 2 ⋅ 7 ⋅ 3 ⋅ 3 = 126.
11. 12 = 2 · 2 · 3
M
2. In the statement 6 ⋅ 8 = 48, 6 and 8 are called
18 = 2 · 3·3
factors and 48 is called the product.
30 = 2 · 3· 5
E
3. 12
2·2·3·3·5
2 6
D
The LCM is 2 ⋅ 2 ⋅ 3 ⋅ 3 ⋅ 5 = 180.
2 ·2·3
The prime factorization of 12 is 2 ⋅ 2 ⋅ 3. 7
C
12. In the fraction , 7 is called the numerator and
12
4. 120
12 is called the denominator.
O
4 30
13. Fractions which represent the same portion of a
2 2 2 15
whole are called equivalent fractions.
2·2·2·3 ·5
N
The prime factorization of 120 is 2 ⋅ 2 ⋅ 2 ⋅ 3 ⋅ 5. 1
14. Multiply the numerator and denominator of
N
2
5. 31 is a prime number. by 5.
1 1⋅ 5 5
O
6. 117 = =
/ \ 2 2 ⋅ 5 10
I
9 13
5
S
/\ \ 15. Multiply the numerator and denominator of
3 ⋅ 3 ⋅ 13 8
The prime factorization of 117 is 3 ⋅ 3 ⋅ 13. by 6.
S
5 5 ⋅ 6 30
7. The least common multiple of two or more = =
8 8 ⋅ 6 48
E
natural numbers is the smallest number that is a
multiple of each of the numbers.
16. The least common denominator is the least
U
8. 6 = 2 · 3 common multiple of the denominators of a group
8=2· ·2·2 of fractions.
R
O
21.
9 3⋅ 3 9
1.375
16 2 ⋅ 2 ⋅ 2 ⋅ 2 2 ⋅ 2 ⋅ 2 ⋅ 2 2
22. = = =
56 2 ⋅ 2 ⋅ 2 ⋅ 7 2 ⋅ 2 ⋅ 2 ⋅ 7 7
N
34. 8 11.000
8
N
30
23. The 1 is two places to the right of the decimal; 24
this is the hundredths place.
60
O
24. The 2 is one place to the right of the decimal; 56
this the tenths place. 40
I
40
S
25. The 8 is four places to the left of the decimal;
0
this is the thousands place.
S
11
= 1.375
26. The 9 is three places to the right of the decimal; 8
this is the thousandths place.
E
0.428571
27. The number 1 is in the tenths place. The number 35. 7 3.000000
U
to its right is 7. Since 7 is greater than 5, we
28
round to 0.2.
20
R
28. The number 3 is in the hundredths place. The 14
number to its right is 2. Since 2 is less than 5, we 60
round to 0.93.
56
29. The number 9 is in the hundredths place. The 40
number to its right is 6. Since 6 is greater than 5, 35
we round to 1.40. 50
49
30. The number 0 is in the hundredths place. The
number to its right is 4. Since 4 is less than 5, we 10
round to 690.00. 7
3
31. The number 9 is in the tenths place. The number
3
to its right is 8. Since 8 is greater than 5, we = 0.428571
round to 60.0. 7
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