Beginning Algebra, 11th Edition

51.prime 52.

71.prime 72.

95.The result in Exercise 92is factored completely. 96.Show that
. 97.difference of squares

Section 6.5 (pages 397–400)

3.factor 5.0;x 7.To solve set
eachvariablefactor equal to 0 to get or. The constant
factor 2 does not introduce solutions into the equation. The solution set is
9.The variable xis another factor to set equal to 0, so the
solution set is. 11. 13. 15.

(a)64; 144; 4; 6 (b)No time has elapsed, so the object hasn’t
fallen (been released) yet. 81. 83. 1845 85.9, 10

Section 6.6 (pages 405–410)

1.Read; variable; equation; Solve; answer; Check, original
3.Step 3: ;Step 4: or ;
Step 5:base: 9 units; height: 5 units; Step 6:
5.Step 3: ;Step 4: or ;

Step 5:length: 20 units; width: 4 units; Step 6: 20 # 4 = 80

80 = 1 x+ 821 x- 82 x= 12 x=- 12

9 # 5 = 45

45 = 12 x+ 121 x+ 12 x= 4 x=-^112

5 - 0.5, 0.1 6

5 - 1, 3 (^6536) E-^23 , 4F E- 34 ,-1, 21 F
5 - 2, 0, 4 6 5 - 5, 0, 4 6 5 - 3, 0, 5 6 5 - 1, 3 6
5 - 17, 4 (^6) E-^52 , 31 , 5F E- 27 ,-3, 1F E- 37 , 0, 37 F
5 - 11, 11 6 5 0, 7 6 E0,^12 F 5 2, 5 6 E-4, 21 F
E-^43 , 21 F E- 32 F 5 - 3, 3 6 E- 47 , 47 F
5 - 8, 3 6 5 - 1, 3 6 5 - 2,- 16 5 - 46 5 - 2, 31 F
E-^56 , 0 6 E0,^43 F 566 5 - 2,- 16 5 1, 2 6
E0, 71 F^5 - 5, 2^6 E3, 27 F E- 21 , 61 F
E0,^43 F.
x= 0 3 x- 4 = 0
ax^2 +bx+c 2 x 13 x- 42 =0,
1 x- 321 x^2 + 3 x+ 921 x+ 321 x^2 - 3 x+ 92
x^4 +x^2 + 1 = 1 x^2 +x+ 121 x^2 - x+ 12
1 x^2 - 121 x^4 +x^2 + 12 1 x- 121 x+ 121 x^4 +x^2 + 12
1 x- 121 x^2 +x+ 121 x+ 121 x^2 - x+ 12
1 a^2 + 2521 a+ 521 a- 52 1 x^3 - 121 x^3 + 12
15 y- 6 z 212 y+z 2 1 m- 222 18 a-b 21 a+ 3 b 2
21 x+ 421 x^2 - 4 x+ 162 12 a- 3214 a^2 + 6 a+ 92
14 k- 3 h 212 k+h 2 12 a+ 521 a- 62
18 m- 5 n 22 12 y^216 yz^2 + 1 - 2 y^2 z^22
1 a-b 21 a^2 +ab+b^2 + 22 412 k- 322
213 a- 121 a+ 22 6 y^413 y+ 4212 y- 52
14 +m 215 + 3 n 2 12 - q 212 - 3 p 2
8 z 14 z- 121 z+ 22 512 m- 321 m+ 42
110 a+ 9 y 2110 a- 9 y 2 12 y+ 5212 y- 52
5 m^215 m- 3 n 215 m- 13 n 2 316 m- 122
12 m- 3 n 21 m+ 5 n 2 14 z- 122
14 r- 72116 r^2 + 28 r+ 492 12 +m 213 +p 2
1 y- 6 k 21 y+ 2 k 2 110 p+ 321100 p^2 - 30 p+ 92
414 p- 5 m 214 p+ 5 m 2 3 k 1 k- 521 k+ 12
5 z 1 z- 721 z- 22 1 k- 521 k- 62
14 r+ 3 m 22 1 z- 622 15 h+ 7 g 213 h- 2 g 2
8 m^314 m^6 + 2 m^2 + 32 12 m+ 5214 m^2 - 10 m+ 252
1 y- 821 y+ 72 9 p^813 p+ 721 p- 42
1 k+ 421 k- 42 1 z- 221 z^2 + 2 z+ 42
1 y^2 + 421 y+ 221 y- 22 10 y^412 y- 32 8 m 11 - 2 m 2 7.length: 14 cm; width: 12 cm 9.base: 12 in.; height: 5 in.
11.height: 13 in.; width: 10 in. 13.length: 15 in.; width: 12 in.
15.mirror: 7 ft; painting: 9 ft 17.20, 21 19.0, 1, 2 or 7, 8, 9
21.7, 9, 11 23. , 0, 2 or 6, 8, 10 25.12 cm 27.12 mi 29.8 ft
31.112 ft 33.256 ft 35. (a)1 sec (b) sec and sec (c)3 sec
(d)The negative solution, , does not make sense, since trepresents
time, which cannot be negative. 37. (a)104.4 million; The result ob-
tained from the model is less than 109 million, the actual number for 2000.
(b) 18 (c)272.7 million; The result is more than 263 million.
(d)326.6 million 39. 41.
Chapter 6 Review Exercises (pages 413–415)

17.rand 6r, 2rand 3r 18.Factor out z.

28.The
student stopped too soon. He needs to factor out the common factor
to get as the correct answer. 29.B
30.D 31. 32.

35.prime

1. 1. 1. 57.length: 10 ft; width: 4 ft 58.5 ft 59.6, 7 or 60.26 mi

(a)256 ft (b)1024 ft 62. (a)601,000 vehicles; The result is
slightly higher than the actual number for 2005. (b)655,000 vehicles
(c)The estimate may be unreliable because the conditions that prevailed
in the years 2001–2006 may have changed, causing either a greater increase
or a decrease predicted by the model for the number of alternative-
fueled vehicles. 63.D 64.The factor has a factor of 2.
The completely factored form is

72.prime 73.

110 a+ 321100 a^2 - 30 a+ 92 77. 5 0, 7 6 78. 5 - 5, 2 6

2 a^31 a+ 221 a- 62 17 t+ 422

6 xyz 12 xz^2 + 2 y- 5 x^2 yz^3212 r+ 3 q 216 r- 52

8 abc 13 b^2 c- 7 ac^2 + 9 ab 2 3 m 12 m+ 321 m- 52

1 y^2 + 2521 y+ 521 y- 52 13 m+ 4215 m- 4 p 2

13 k+ 521 k+ 22 1 z-x 21 z- 10 x 2

21 x+ 4213 x- 42.

12 x+ 82

5,- 4

5 - 1, 6 6 576 566 E-2,-1,-^25 F 5 - 3, 3 6

5 1, 4 6 5 3, 5 (^6) E-^43 , 5F E-^89 ,^89 F 5 0, 8 6
E-^34 , 1F 5 - 7,-3, 4 6 E0,^52 F 5 - 3,- 16
1 x-y 21 x+y 21 x^2 +xy+y^221 x^2 - xy+y^22
110 - 3 x^221100 + 30 x^2 + 9 x^42
17 x- 42149 x^2 + 28 x+ 162
15 k+ 4 x 2125 k^2 - 20 kx+ 16 x^22
1 r-6)^213 t-7)^21 m+ 1021 m^2 - 10 m+ 1002
17 y+ 5 w 217 y- 5 w 2 3612 p+q 212 p-q 2
1 n+ 721 n- 72 15 b+ 11215 b- 112
4 x- 1 14 x- 1214 x- 52
rs 15 r+ 6 s 212 r+s 2 4 x^2 y 13 x+y 214 x-y 2
4 x^313 x- 1212 x- 12 - 31 x+ 2212 x- 52
15 z+ 1212 z- 12 1 v+ 3218 v- 72
12 k- 121 k- 22 13 r- 121 r+ 42 13 r+ 2212 r- 32
2 x^51 x- 2 y 21 x+ 3 y 2
3 r^31 r+ 3 s 21 r- 5 s 2 9 x^2 y 1 x+ 221 x- 32
3 x^21 x+ 221 x+ 82 p^51 p- 2 q 21 p+q 2
1 p+ 12 q 21 p- 10 q 2 8 p 1 p+ 221 p- 52
1 q+ 921 q- 32 1 r- 821 r+ 72 1 r+ 8 s 21 r- 12 s 2
13 y+ 2 x 212 y+ 32 1 x+ 321 x+ 22 1 y- 521 y- 82
71 t+ 22 30 z 12 z^2 + 12 12 y+ 321 x- 42
16

9 , or-
16
9
25
36

1

(^12112)

2

A-16 Answers to Selected Exercises

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Beginning Algebra, 11th Edition

Step 5:length: 20 units; width: 4 units; Step 6: 20 # 4 = 80

9 # 5 = 45

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