Beginning Algebra, 11th Edition

81.length: 6 m; width: 4 m
82.15 m, 36 m, 39 m 83.6 m 84.width: 10 m; length: 17 m

Chapter 6 Test (page 416)

[6.1–6.4]1.D 2. 3.

8.prime 9.prime 10.

[6.5]20. 21. 22. 23.

[6.6]25.6 ft by 9 ft 26. 27.17 ft

28.$8493 billion

Chapters 1–6 Cumulative Review Exercises
(pages 417–418)

[2.1–2.3]1. 2. 3. [2.5]4.

5.110° and 70° [2.4]6.gold: 11; silver: 12; bronze: 6
[2.6]7.230; 205; 38%; 12% [3.1]8. (a)negative, positive
(b)negative, negative

[3.2, 3.3]9. (a) , (b) 12 (c)

[3.3, 3.4]10. (a)16; A slope of (approximately) 16 means that retail
sales of prescription drugs increased by about $16 billion per year.
(b) [4.1– 4.3]11. 12. [5.1, 5.2]13.

256 15. 16. [5.4]17.

[5.5]18. [5.6]19.

[5.7]20. [5.3]21. ;
[6.2, 6.3]22. 23.

[6.4]25. 26.

[6.3]27. [6.5]28. 29.
[6.6]30.5 m, 12 m, 13 m

RATIONAL EXPRESSIONS AND APPLICATIONS

Connections ( page 425) 1. cannot be factored, so
this quotient cannot be simplified. By long division, the quotient is

2.The numerator factors as ,

so, after simplification, the quotient is Long division gives the
same quotient.

x-2.

3 x+ 5 + 1 x- 221 x^2 + 2 x+ 42

2
x+ 2
.

3 x^2 + 11 x+ 8

7

2 pq 13 p+ 121 p+ (^12) E- 32 , 21 F 5 0, 8 6
14 t+ 3 v 212 t+v 2 12 p- 322 15 r+ 9 t 215 r- 9 t 2
12 a- 121 a+ 42 12 m+ 3215 m+ 22
4 x^3 + 6 x^2 - 3 x+ 10 5.5 104 2.0 106
45 x^2 + 3 x- 18 9 p^2 + 12 p+ 4

4 k^2 - 4 k+ 8
1
m^6

1 p^2

16

1 2005, 230 2 51 - 1, 2 (^2609)
x
y
(^3) y = 12x + 3
1

4

A-^14 , 0B 1 0, 3 2

P= A 1 +rt 506 5 0.05 6 566

E-8, -^52 , 31 F -2, - 1

E^12 , 6F E- 52 ,^25 F 5 0, 9 6 5106

13 x+ 2 y 213 x- 2 y 219 x^2 + 4 y^2213 x^3 y^2 + 222

81 k+ 221 k^2 - 2 k+ 42 1 x^2 + 921 x+ 321 x- 32

3 t^212 t+ 921 t- 42 1 r- 521 r^2 + 5 r+ 252

13 y+ 8213 y- 82 12 x- 7 y 22 - 21 x+ 122

15 z- 1212 z- 32 12 - a 216 +b 2

12 x+y 21 a-b 2 1 x+ 321 x- 82 12 x+ 321 x- 12

6 x 12 x- 52 m^2 n 12 mn+ 3 m- 5 n 2

E- 52 F -5, -4, -3 or 5, 6, 7 Section 7.1 (pages 426–428)

(a) (b) 3. (a) 0 (b) 5. (a) (b)undefined

(a)undefined (b) 9. (a) 0 (b) 0 11. (a) 0 (b)undefined
13.A rational expression is a quotient of two polynomials, such as
. One can think of this as an algebraic fraction. 15.Division

by 0 is undefined. If the denominator of a rational expression equals 0, the expression is undefined. 17. 19.

25.It is never undefined.
27.It is never undefined. 29. (a)numerator: , 4x; denominator: x, 4
(b)First factor the numerator, getting. Then divide the

numeratorand denominator by the common factor to get or x.

1. 1. 83.B, D 85. 87. 89. 91.It is already in
    lowest terms. 93.B
    Answers may vary in Exercises 95, 97, and 99. 95. , ,

, 97. , , ,

, , ,

(a) 0 (b)1.6 (c)4.1 (d)The waiting time
also increases. 105. 107. 4

Section 7.2 (pages 433–434)

(a)B (b)D (c)C (d)A 3. 5. 7.

1. 1. 5 17. 19.

or 61.

63. 2 # 32 65. 22 # 33 67. 6 69. 6 q^3

5 xy^2 4 q

1 x+y 221 x^2 - xy+y^22 3 y 1 x-y 22

1 x+y 221 x^2 - xy+y^22 3 y 1 y-x 21 x-y 2 ,

3 - a-b 2 a-b

x+ 10 10

1 q- 3221 q+ 222 q+ 1

r+ 6 s r+s

m m+ 5

y+ 3 y+ 4

m+ 6 m+ 3

m+ 4 p m+p

4 k- 1 3 k- 2

1 k- 122 1 k+ 1212 k- 12

12 x- 121 x+ 22

(^1) x- 1
p+ 4
p+ 2
(^109) - (^34) - (^92)
x 1 x- 32
6
21 x+ 22
x 1 x- 12

-^358

1

4
3
2 t 4

x+ 3 2 x

t 2 2 41 x-y 2

2 c+d

-^4 x

4 3

3 a 2

5 9

x^2 + 3

3 x- 1

5 x+ 6

3 x- 1

15 x- 62

3 x+ 1
5 x- 6

13 x- 12
5 x- 6

2 x- 3

x- 3

2 x- 3

1 x+ 32

2 x+ (^3)
x+ 3

12 x- 32
x+ 3

x+ (^4)

x+ 3

x+ 4

1 x- 32

x- 4
x- 3

1 x+ 42
x- 3

1 - 1 m+ 12 - 1

1 - 2 r 2

z+ 3 z

k^2 - 2 k+ 4 k- 2

b

(^2) +ba+a 2
a+b
x 1 - p+p (^2) x (^2) + 3 x+ 9
(^2) + 1
x
m+n
2
a+b
a-b
r+s
r-s
z- 3
z+ 5

-^3
7 t

x+ 2 x- 4

x+ 1 x- 1

x- 3

k- (^3) x+ 1
3 r- 2 s
3
3 m
5
312 m+ 12
4
2
m-n t- 3
6
7
7
5
x- 1
x+ 1
2
3 r^25
x
x+ 4 1 ,
x 1 x+ 42
x^2
xZ-^53 mZ-3, mZ 2
yZ 0 xZ 6
x^2 + 3 x- 6
x+ 4
8
25
107 158 -^1 -^6415
Answers to Selected Exercises A-17

Beginning Algebra, 11th Edition

63. 2 # 32 65. 22 # 33 67. 6 69. 6 q^3

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