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Be Prepared

8.1

6y

8.2

(2x1)(3x2)

8.3

(n+2)(n22n+4)

8.4

425

8.5

499

8.6

2(x7)(x+7)

8.7

10(n+1)(n2n+1)

8.8

5(2p+q)(p3q)

8.9

y+93

8.10

8x

8.12

5a(3ab)(3a+b)

8.13

3730

8.14

8x+26

8.15

3xy3

8.16

12(4n+1)

8.17

23

8.18

154

8.19

x=1

8.20

n=9,n=4

8.21

y=105x2

8.22

n=90

8.23

7feet

8.24

28mph

8.25

x=107

8.26

t=52,t=23

8.27

18

8.28

n=2.25

8.29

500

Try It

8.1

x=0 n=13 a=−1,a=−3

8.2

q=0 y=23 m=2,m=−3

8.3

−2 29 13

8.4

43 6 −1

8.5

12 13 5

8.6

23 45 12

8.7

−4 0 49

8.8

0 316 316

8.9

59.

8.10

79

8.11

x3y

8.12

8xy

8.13

32

8.14

75

8.15

x+1x1

8.16

x5x1

8.17

x+3x+2

8.18

x+1x7

8.19

y2+1y+2

8.20

p2+2p+5

8.21

n2(n+1)

8.22

x2(x+2)

8.23

2(x3)3(x+3)

8.24

5(y1)2(y+5)

8.25

p2+4p+16p+4

8.26

x22x+4x2

8.27

−1

8.28

−1

8.29

2y+5.

8.30

39+y

8.31

x+1x+5

8.32

x+2x+1

8.33

34

8.34

1

8.35

5p22q

8.36

12y37

8.37

x22(x+3)

8.38

3(x6)x+5

8.39

x+5x

8.40

x4x+3

8.41

6(x+3)x+2

8.42

v3

8.43

1

8.44

1

8.45

1c3

8.46

12+d

8.47

(m2)4(m8)

8.48

n(n2)n1

8.49

(a3)(a+5)(a5)(a5)

8.50

(b+2)(b1)(1+b)(b+4)

8.51

2(x2+2x+4)(x+2)(x22x+4)

8.52

2z(z2+z+1)(z+1)(z2z+1)

8.53

x82(x+1)

8.54

y23y2(y4)

8.55

x+24

8.56

2y+5

8.57

2(m+1)(m+2)3(m+4)(m3)

8.58

(n+5)(n+9)2(n+6)(2n+3)

8.59

34

8.60

25

8.61

5x+22x+3.

8.62

x+1x2

8.63

x+2

8.64

x+3

8.65

x3

8.66

2x+5

8.67

n+3

8.68

y8

8.69

x11x2

8.70

x3x+9

8.71

3

8.72

y+3

8.73

y+3y+2

8.74

3n2n1

8.75

(x4)(x+4)(x+3)

8.76

(x+3)(x+6)(x+5)

8.77

2x+8(x4)(x+3)(x+4),
x+3(x4)(x+3)(x+4)

8.78

x2+6x(x+3)(x+5)(x+6),
5x+25(x+3)(x+5)(x+6)

8.79

1920

8.80

3340

8.81

4b+25a30a2b2

8.82

5d2+616cd2

8.83

7x4(x+3)(x2)

8.84

7m+25(m+3)(m+4)

8.85

x(5x+7y)y(xy)(x+y)

8.86

7m+152(m+3)(m+1)

8.87

5m29m+2(m2)(m+1)(m+2)

8.88

2(n2+6n15)(n+2)(n5)(n+3)

8.89

−7y+8(y+4)(y5)

8.90

4z+9(z+2)(z+3)

8.91

1x2

8.92

−3z3

8.93

5x+1(x6)(x+1)

8.94

y+3y+4

8.95

x+22x7

8.96

−2(3y4)2y1

8.97

v+3v+1

8.98

3ww+7

8.99

23(x1)

8.100

12(x3)

8.101

1411

8.102

1023

8.103

y+xyx

8.104

abba

8.105

b(b+2)(b5)3b5

8.106

3c+3

8.107

73

8.108

103

8.109

b+aa2+b2

8.110

yxxy

8.111

3x65x+7

8.112

x+216x43

8.113

35x+22

8.114

6y+343y

8.115

xx+4

8.116

x(x+1)3(x1)

8.117

157

8.118

1513

8.119

5,−3

8.120

6,−2

8.121

−2

8.122

−2

8.123

23

8.124

2

8.125

−1,−2

8.126

−2,−3

8.127

no solution

8.128

y=5

8.129

−2

8.130

−3

8.131

3

8.132

7

8.133

no solution

8.134

no solution

8.135

L=AW

8.136

A=FM

8.137

x=3y82

8.138

y=x1+x

8.139

a=bcb1

8.140

y=3x6+x

8.141

77

8.142

104

8.143

65

8.144

24

8.145

33

8.146

14

8.147

42

8.148

6

8.149

12ml

8.150

180mg

8.151

464calories

8.152

5pieces

8.153

590.4Euros

8.154

56,460yen

8.156

22.5

8.157

150 miles

8.158

350 miles

8.159

40 feet

8.160

60 feet

8.161

15 mph

8.162

17 mph

8.163

5 mph uphill and 10 mph downhill

8.164

50 mph

8.165

15 mph

8.166

6 mph

8.167

2hours and 24 minutes

8.168

2hours and 6 minutes

8.169

16.25 hours

8.170

12 hours

8.171

y=310x

8.172

y=3x

8.173

c=4.8t 432 calories

8.174

d=50t 250 miles

8.175

m=55h 220 miles

8.176

w=6v 78 pounds

8.177

d=16t2 256 feet

8.178

A=3.14r2 254.34 square inches

8.179

p=360q

8.180

y=16x

8.181

v=40,000a $8,000

8.182

t=1000r 2 hours

8.183

h=130t 123 hours

8.184

F=48L 9.6 pounds

Section 8.1 Exercises

1.

z=0 p=56 n=−4,n=2

3.

y=0 x=12 u=−4,u=7

5.

0 4 1

7.

3 52 15

9.

−6 203 0

11.

−1 310 0

13.

0 34 154

15.

0 35 7120

17.

113

19.

89

21.

b2a

23.

2m23n

25.

34

27.

35

29.

75

31.

125

33.

a+3a4

35.

y+4y5

37.

x5x3

39.

y+1y+3

41.

y2+1y+1

43.

x2

45.

a(a+5)2(a+3)(a2)

47.

c2(c5)

49.

3(m+5)4(m5)

51.

5(r1)r7

53.

t2+3t+9t+3

55.

w26w+36w6

57.

−1

59.

−1

61.

2x+6

63.

48+v

65.

(y8)3+y

67.

a+49+a

69.

16.6%

71.

Answers will vary, but all should reference setting the denominator function to zero.

Section 8.2 Exercises

73.

310

75.

625

77.

x38y

79.

8a43b2

81.

p(p4)2(p9)

83.

r+52r(r+2)

85.

x74(x+3)

87.

z+3z(z+1)

89.

4(b+9)3(b+7)

91.

−7

93.

1

95.

1

97.

(6t)(t+3)t5

99.

110w

101.

3y2(y+6)(y+7)(y7)(y2+6)

103.

a(a5)a6

105.

(c+2)(c+2)(c2)(c3)

107.

(m2)(m3)(3+m)(m+4)

109.

3ss+4

111.

4(p2pq+q2)(pq)(p2+pq+q2)

113.

t+32t(t3)

115.

y+3z2y(2y1)

117.

2a75

119.

3(3c5)

121.

4(m+8)(m+7)3(m4)(m+2)

123.

(4p+1)(p4)3p(p+9)(p1)

125.

w(w1)(w+m)(w+m1)
221

127.

Answers will vary.

Section 8.3 Exercises

129.

35

131.

34

133.

3a+1ab

135.

d+5d+8

137.

p+8

139.

r+8

141.

8t

143.

2ww4

145.

y8

147.

3a+7

149.

c+2

151.

m22

153.

p+3p+5

155.

r+9r+7

157.

4

159.

x+2

161.

z+4z5

163.

4b3b7

165.

32(r+1)r(r+4)

Section 8.4 Exercises

169.

(x4)(x+2)(x+3)

171.

(z2)(z+4)(z+2)

173.

(b+3)(b+3)(b5)

175.

(3d1)(d+5)(d6)

177.

5x+15(x4)(x+2)(x+3),
2x2+4x(x4)(x+2)(x+3)

179.

9z+18(z2)(z+4)(z+2),
4z2+16z(z2)(z+4)(z+2)

181.

4b20(b+3)(b+3)(b5),
2b2+6b(b+3)(b+3)(b5)

183.

2d12(3d1)(d+5)(d6),
5d2+25d(3d1)(d+5)(d6)

185.

3772

187.

4960

189.

21y+8x30x2y2

191.

4mn+78m2n

193.

5r7(r+4)(r5)

195.

14t10(t+5)(t5)

197.

11w+1(3w2)(w+1)

199.

2y2+y+9(y+3)(y1)

201.

b(5b+10+2a2)a2(b2)(b+2)

203.

2m2+23m3(m1)(m+4)

205.

4n29n+6(n3)(n+6)(n+2)

207.

3(r2+6r+18)(r+1)(r+6)(r+3)

209.

2(7t6)(t6)(t+6)

211.

−4(1+w)(w+4)(w2)

213.

y2+2y29(y+1)(y+7)

215.

4a2+25a6(a+3)(a+6)

217.

3c5

219.

−6m6

221.

p+2p+3

223.

3r2

225.

v14v+3

227.

4(8x+1)10x1

229.

5a2+7a36a(a2)

231.

c5c+2

233.

3a(6ab)b(3a+b)(3ab)

235.

3d+8

237.

2(2m2+7m1)(m+7)(m1)(m+3)

239.

(n+1)(n+8)(n+3)(n2)

241.

42q+2590pq

243.

7(x+2)(x2)(x+5)

245.

1q+4

247.

2(4z+1)(z5)(z+1)

249.

3(d+1)d+2

251.

2t+3t(t+3) 1340

253.

Answers may vary.

Section 8.5 Exercises

255.

a42a

257.

12(c2)

259.

1213

261.

2057

263.

n2+mmn2

265.

rttr

267.

(x+1)(x3)2

269.

4a+1

271.

118

273.

19

275.

c2+ccd2

277.

pqqp

279.

2x103x+16

281.

3z193z+8

283.

43a7

285.

2c+295c

287.

(2p5)5

289.

m(m5)4m2+m95

291.

1324

293.

2(a4)

295.

3mnnm

297.

(x1)(x2)6

299.

R1R2R2+R1 245

301.

Answers will vary.

Section 8.6 Exercises

303.

10

305.

47

307.

4021

309.

−9

311.

−2,4

313.

−5,−4

315.

−6

317.

14

319.

−45

321.

13

323.

2,1

325.

−5,−1

327.

no solution

329.

no solution

331.

−4

333.

−8

335.

2

337.

1

339.

no solution

341.

no solution

343.

r=C2π

345.

h=vlw

347.

w=2v+7

349.

c=b+3+2aa

351.

p=q4q2

353.

w=15v10+v

355.

n=5m+234

357.

y=20x12x

359.

t=3rsr

361.

2611 days

363.

Answers will vary.

Section 8.7 Exercises

365.

49

367.

7

369.

9

371.

−11

373.

7

375.

0.6

377.

16

379.

40

381.

60

383.

30

385.

9ml

387.

325mg

389.

159calories

391.

5oz

393.

252.5Canadian dollars

395.

0.80Euros

397.

0.63British pounds

399.

3cups

401.

1.30Canadian dollars

403.

17tsp

405.

34 cup

407.

12

409.

7718

411.

950 miles

413.

680 miles

415.

23 foot (8in)

417.

247.3feet

419.

114 beats per minute
no

421.

19 gallons
$58.71

423.

4 bags

425.

5 pounds

427.

Answers will vary.

Section 8.8 Exercises

429.

160mph

431.

29 mph

433.

30 mph

435.

20 mph

437.

4 mph

439.

60 mph

441.

650 mph

443.

50 mph

445.

50mph

447.

2 hours

449.

2hours and 44 minutes

451.

12 hours

453.

7hours and 30 minutes

455.

2hours and 55 minutes

457.

4 hours

459.

3 mph

Section 8.9 Exercises

463.

y=143x

465.

v=3w

467.

p=3.2q

469.

a=18b

471.

P=10n $40

473.

a=4.5p 27 apples

475.

p=3.98g $59.70

477.

m=8v 16 liters

479.

d=5t2 245 feet

481.

A=3.14r2 50.24sq. in.

483.

y=20x

485.

v=3w

487.

g=92,400w 16.8 mpg

489.

t=1000r 2.5 hours

491.

L=4,400f 440 cycles per second

493.

t=125p 50 tickets

495.

y=53x

497.

p=30q

499.

p=5q

501.

5 pounds

503.

3 inches

505.

15.6mpg

507.

267.3 feet

509.

c=2.5m $55

511.

Answers will vary.

Review Exercises

513.

a23

515.

y0

517.

56

519.

72

521.

512

523.

14

525.

c+1c+2

527.

75+v

529.

120

531.

3b

533.

6t(t+6)2

535.

−111w

537.

5c+4

539.

1

541.

p+5

543.

d7

545.

q-3q-5

547.

15w+26w1

549.

3b2+19b16(b7)(b+7)

551.

(m+2)(m5)(m+4)

553.

(3p+1)(p+6)(p+8)

555.

6n+12(n2)(n2)(n+2),
2n24n(n2)(n2)(n+2)

557.

1915

559.

11c12(c2)(c+3)

561.

5x2+26x(x+4)(x+4)(x+6)

563.

2(v2+10v2)(v+2)(v+8)

565.

2m7m+2

567.

4d8

569.

a22a

571.

(x+2)(x5)2

573.

2(3q11)(q+4)5(q4)

575.

z521z+21

577.

67

579.

32

581.

no solution

583.

l=Vhw

585.

z=y+5+7xx

587.

125

589.

15

591.

1126calories

593.

b=9;x=213

595.

23 feet

597.

45 mph

599.

16 mph

601.

45hour

603.

12days

605.

7

607.

36

609.

$9

611.

9tickets

Practice Test

613.

a2b

615.

x+33x

617.

4+5qpq

619.

196

621.

1411

623.

12

625.

4

627.

60

629.

125mg

631.

34 mph

633.

159hours

635.

$74.70

637.

64 miles

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