SECTION 0.1 HOMEWORK ANSWERS

1.812.323.

4.5.1256.4

7.88.819.

10.11.12.

13.x8y414.6x4y915.15a5b6

16.180x5y7z717.18.

19.20.21.

22.23.24.

25.26.27.4x11y12

28.72x8y1529.30.

31.x10y632.a10b1433.

34.35.36.

37.38.39.

40.41.42.

43.44.45.

46.47.3.84 x 10548.3.58 x 106

49.5.948 x 10350.9.8341 x 10851.3.838 x 109

52.9.83 x 10653.5.83 x 101254.8.3 x 1011

55.0.00038556.0.000000283757.0.0000000098

58.0.0000000007356459.217,00060.58,340,000

61.8,345,600,00062.693,000,000,00063.

64.65.66.

67.68.69.

70.71.72.

73.74.75.

76.77.78.

79.80.81.

82.83.84.

85.86.87.

88.89. 90.

91.92.93.

94.95.96.

97.98.99.

100.101.102.

103.104.105.

106.107.13108.1

109.38110.62111.

112.113.

114.115.116.

SECTION 0.2 HOMEWORK ANSWERS

1.32. 43. 54. 35. 66. 7

7.7x38x2+5x+98.7x22x+9

9.2x3y25x2y+3xy310.5x3y2+5x2y+2xy3

11.7x316x412.16y25y16

13.8x36x25x+1114.2x3+6x29x5

15.3a3b+10a2b23ab316.21x3y2+9x2y8x2y222xy3

17.3x2+5x218.3a315a2+16a11

19.9y38y23y+2220.7b3+9b217b5

21.4x3y17x2y2+12xy322.12a3b3+5a2b219ab

23.24x315x24.20y3+35y2

25.54a5b3+30a3b426.21x5y4+35x3y7

27.15x424x327x228.10y515y4+45y3

29.10a3b4+35a2b3+40ab230.35x5y240x4y3+30x3y4

31.15x2+31x+1432.6x231x+35

33.35x211x634.56x2+33x14

35.15x2+31xy+14y236.35a243ab+12b2

37.5a2+42ab27b238.45x214xy48y2

39.25x2940.49y264

41.25a29b242.64x281y2

43.10x3x229x+1244.35x3+13x22x+8

45.35a36a2b+2ab2+4b346.56x345x2y26xy2+15y3

47.27x3848.125y3+27

49.8x3+y350.27a3b3

51.9x2+30x+2552.25x2+10xy+y2

53.4y212y+954.25a290a+81

55.4x2+12xy+9y256.81a2+36ab+4b2

57.9a230ab+25b258.36a2132ab+121b2

59.21x426x339x2+46x1660.20y443y35y2+13y18

61.5xy62.7a3

63.64.

65.2x23x66.2y24y+6

67.68.

69.4a3b70.6x+4y

71.2x23x+272.3x2+x4

73.5x2x374.x22x5

75.4x23x276.4x2+6x+6

77.3x25x+1778.2x23x+3

79.3x2+13x+18+80.5x223x+71

81.3x2+5x4+82.5x23x+2+

83.2x3+4x2+3x+6+84.x3x2+3x9+

85.3x36x2+12x+2886.4x3+8x2+16x+32

SECTION 0.3 HOMEWORK ANSWERS

1.5a(b2)2.3x(y+7)3.8a(3x+5y)

4.9x(4a-7b)5.5ab2(2a+5b)6.3x2y3(9x5y)

7.7a2b2(5a34b2)8.4x3y4(3x4+2y3)9.3a(5x2y+3)

10.2x(5a+3b4)11.5xy(2x3y7)12.7a2b(4a+5b6)

13.6x2y2(5x2y4c)14.3ac(6a+5abc+7bc)15.5a3b4(b2+4a2)

16.3x3y2(2x3y4)17.518.

19.(x4)(x6)20.(x+7)(x+8)21.(x9)(x+6)

22.(y+9)(y2)23.(x+4y)(x+5y)24.(a15b)(a10b)

25.(x12a)(x+4a)26.(y+12b)(y7b)27.5(x+9)(x4)

28.6(y6)(y5)29.3x(a+4b)(a+9b)30.7a(x+6y)(xy)

31.Prime32.Prime33.(ax+8y)(ax+15y)

34.(a10bx)(a9bx)35.(x2+2)(x2+7)36.(a2+8)(a25)

37.(a2+24b)(a2+b)38.(x3+10ab)(x3+2ab)39.(2x+3)(5x+2)

40.(3x5)(2x+3)41.(3x4)(5x3)42.(7x4)(3x+2)

43.(5xy)(x3y)44.(7a+5b)(a+b)45.(4x5y)(3x+2y)

46.(4a+5b)(6ab)47.3(3x+5)(x+1)48.5(2x1)(x7)

49.4a(5x+1)(x2)50.3b(7y+11)(y1)51.(3a2+5b)(2a2+b)

52.(2x23y)(7x25y)53.(3ab2xy)(4ab+3xy)54.(5xy9a2)(2xy+3a2)

55.(x+4)256.(y5)257.(a6)2

58.(b+10)259.(2x3)260.(3x+5)2

61.(3x+4y)262.(5a6b)263.3(x+9)2

64.2(y8)265.(x9y)2`66.(x+12y)2

67.(2x+7y)268.(3a5b)269.(x23y)2

70.(a2+5b)271.(x6)(x+6)72.(y5)(y+5)

73.(2a5)(2a+5)74.(3b10)(3b+10)75.Prime

76.Prime77.5(a2)(a+2)78.7a(y2)(y+2)

79.(5x6y)(5x+6y)80.(9a5b)(9a+5b)81.(y28)(y2+8)

82.(a26)(a2+6)83.(x2+4)(x2)(x+2)84.(b2+9)(b3)(b+3)

85.(x2)(x+2)(x3)(x+3)86.(y2)(y+2)(y5)(y+5)87.(y2)(y2+2y+4)

88.(x+3)(x23x+9)89.(a+5)(a25a+25)90.(b4)(b2+4b+16)

91.(2x3)(4x2+6x+9)92.(5a+2b)(25a210ab+4b2)

93.(4x+1)(16x24x+1)94.(3x2y)(9x2+6xy+4y2)

95.5(2x1)(4x2+2x+1)96.3(a+2)(a22a+4)97.2a(x+4)(x24x+16)

98.3b(y2)(y2+4y+4)99.(a+x)(b+3)100.(b+5)(x5)

101.(x2+2)(a+5)102.(y27)(b+2)103.(a5)(x3)

104.(y5)(b3)105.(x+4)(7a)106.(5a7)(x+2)

107.(x3)(x+3)(a+3)108.(y2)(y+2)(b+5)109.(x+3y)(x+3+y)

110.(a+2x)(a+2+x)111.(y+53a)(y+5+3a)112.(b45y)(b4+5y)

113.(2x+52a)(2x+5+2a)114.(3y45x)(3y4+5x)

SECTION 0.4 HOMEWORK ANSWERS

1.2.3.

4.5.6.

7.8.9.2x + 4

10.3x  911.212.

13.14.15.

16.17.18.

19.20.21.

22.23.24.

25.26.27.

28.29.30.

31.32.33.

34.35.36.

37.38.39.1

40.141.y2 3y + 942.a2 + 2a + 4

43.44.45.

46.47.48.

49.50.51.

52.53.154.1

55.356.257.x + 3

58.y  559.60.

61.62.63.

64.65.66.

67.68.69.

70.71.72.

73.74.75.

76.77.78.

79.80.81.

82.83.84.

85.86.87.

88.89.90.

91.92.

SECTION 0.5 HOMEWORK ANSWERS

1.x=132.x=63.x=54.x=9

5.x= 26.x=17.x=8.x=

9.No solution10.No solution11.All real numbers12.All real numbers

13.x=14.x=15.x= 116.x=

17.No solution18.No solution19.All real numbers20.All real numbers

21.x=6322.23.x=24.x=

25.x=26.x=27.x=28.x=35

29.No solution30.No solution31.All real numbers32.All real numbers

33.x=34.x=35.x=36.x=

37.x=38.x=39.x= 8 or x= 1440.x= 6 or x= 10

41.No solution42.No solution43.x=4 or x= 344.x= 3 or x=6

45.x=2 or x=46.x= 3 or x=47.x= 1 or x= 548.x=1 or x=

49.No solution50.No solution51.x= 1 or x=52.x=1 or x=4

53.x=54.x=55.x=3 or x= 1856.x=16 or x=

57.x=7 or x=58.x= 8 or x=1359.x= or x=60.x=14 or

61.No solution62.No solution63.x=0 or x=64.x=16 or x=2

SECTION 0.6 HOMEWORK ANSWERS

1.a. 1 b.Step 1: divided 10 by 5; Step 2: added 2 to the answer from Step 1; Step 3: subtracted 3 from the answer from Step 2.

2.a.10b.Step 1: divided 6 by 3; Step 2: subtracted the answer from Step 1 from 9; Step 3: added 3 to the answer from step 2.

3.a.0.6b.Step 1: added 2 and 10; Step 2: divided the answer from Step 1 by 5; Step 3: subtracted 3 from the answer from step 2.

4.a.4b.Step 1: subtracted 6 from 9; Step 2: divided the answer from Step 1 by 3; Step 3: added 3 to the answer from Step 2.

5.a.6b.Step 1: added 2 and 10; Step 2: subtracted 3 from 5; Step 3: divided the answer from Step 1 by the answer from Step 2.

6.a.0.5b.Step 1: subtracted 6 from 9; Step 2: added 3 and 3; Step 3: divided the answer from Step 1 by the answer from Step 2.

7.a.14b.Step 1: squared 3; Step 2: added 5 to the answer from Step 1.

8.a.63b.Step 1: raised 4 to the 3rd power; Step 2: subtracted 1 from the answer from Step 1.

9.a.2187b.Step 1: added and 2 and 5; Step 2: raised 3 to the power of the answer from Step 1.

10.a.16b.Step 1: subtracted 1 from 3; Step 2: raised 4 to the power of the answer from Step 1.

11.a.32b.Step 1: raised 4 to the 3rd power; Step 2: divided the answer from Step 1 by 2.

12.a.21.33333b.Step 1: squared 8; Step 2: divided the answer from Step 1 by 3.

13.a.8b.Step 1: divided 3 by 2; Step 2: raised 4 to the power of the answer from Step 1.

14.a.4b.Step 1: divided 2 by 3; Step 2: raised 8 to the power of the answer from Step 1.

15.a.32b.Step 1: multiplied 3 by 6; Step 2: added 5 to the answer from Step 1; Step 3: added 9 to the answer from Step 2.

16.a.7b.Step 1: multiplied 2 by 6; Step 2: subtracted the answer from Step 1 from 9; Step 3: subtract 4 from the answer from Step 2.

17.a.57b.Step 1: added 5 and 3; Step 2: multiplied 6 by the answer from Step 1; Step 3: added 9 to the answer from Step 2.

18.a.38b.Step 1: subtracted 2 from 9; Step 2: multiplied the answer from

Step 1 by 6; Step 3: subtracted 4 from the answer from step 2.

19.a.120b.Step 1: added 5 and 3; Step 2: added 6 and 9; Step 3: multiplied the answer from Step 1 times the answer from Step 2.

20.a.14b.Step 1: subtracted 2 from 9; Step 2: subtracted 4 from 6; Step 3: multiplied the answer from Step 1 by the answer from Step 2.

21.a.5467.86b.Step 1: divided 0.08 by 12; Step 2: added one to Step 1; Step 3: multiplied 12 times 30; Step 4: raised the answer from Step 2 to the power of the answer from Step 3; Step 5: multiplied 500 times the answer from Step 4.

22.a.8154.65b.Step 1: divided 0.07 by 52; Step 2: added one to Step 1; Step 3: multiplied 52 times 30; Step 4: raised the answer from Step 2 to the power of the answer from Step 3: Step 5: multiplied 1000 times the answer from Step 4.

23.a.405.53b.Step 1: divided 0.08 by 12 in the numerator; Step 2: multiplied step 1 by 20000 in the numerator; Step 3: divided 0.08 by 12 in the denominator; Step 4: added 1 to step 3; Step 5: subtracted the answer from Step 4 from 1; Step 6: multiplied 12 times 5; Step 7: raised the answer from Step 5 to the power of the answer from Step 6; Step 8: divided the answer from Step 2 by the answer from Step 7.

24.a.1018.18b.Step 1: divided 0.072 by 12 in the numerator; Step 2: multiplied step 1 by 150000 in the numerator; Step 3: divided 0.072 by 12 in the denominator; Step 4: added 1 to Step 3; Step 5: subtracted the answer from Step 4 from 1; Step 6: multiplied 12 times 30; Step 7: raised the answer from Step 5 to the power of the answer from

Step 6; Step 8: divided the answer from Step 2 by the answer from Step 7.

25.a.5^2b.25

26.a.-32b.9

27.a.2^-5b.

28.a.5^-4b.0.0016

29.a.(3+5)/(6+4)b.0.8

30.a.(8+12)/(7+1)b.2.5

31.a.9^(3/2)b.27

32.a.81^(3/4)b.27

33.a.(3*2+8)/7b.2

34.a.24/(2*44)b.6

35.a.(5*3^27)/(4*2+11)b.2

36.a.(8*2^3+4)/(5*37)b.8.5

37.a.(5/8) + (3/4)b.1.375

38.a.(7/40)  (11/16)b.0.5125

39.a. or (13824)^(1/3)b.24

40.a. or (16807)^(1/5)b.7

41.a.5000(1+.09/12)^(12*15)b.Approx. 19190.22

42.a.10000(1+.075/2)^(2*15)b.Approx. 30174.71

43.a.24000(.085/12)/(1(1+.085/12)^(-12*5))b. Approx. 492.40

44.a.180000(.0675/12)/(1-(1+.0675/12)^(-12*30))b. Approx. 1167.48

45.46.

47.48.

49.50.

SECTION 0.7 HOMEWORK ANSWERS

1.ab.

c. Window for b.

2.a.b.

c. Window for b.

3.a.b.

c. Window for a.

4.a.b.

c. Window for b.

5.a.b.

c. Window for b.

6.a.b.

c. Window for b.

7.a.b.

c. Window for b.

8.a.b.

c. Window for a.

9.a.b.

c. Standard window and window for b. and c. all seem good.

10.a.b.

c. Window for b.

11.a.b.

c. Window for b.

12.a.b.

c. Window for b.

13.a.b.

c. Window for b.

14.a.b.

c. Window for b.

For 15–30 the following are suggested windows:

15.–5x5 Scale 0.5–15y15 Scale 1.5

16.–6x6 Scale 0.6–18y18 Scale 1.8

17.–5x5Scale 0.5–62y62Scale 6

18.–5x5Scale 0.5–10y100Scale 10

19.–6x6Scale 0.6–40y40Scale 4

20.–6x6Scale 0.6–68y68Scale 6

21.–6x6Scale 0.6–45y45Scale 4

22.–5x5Scale 0.5–35y35Scale 3

23.–10x10Scale 1–10y30Scale 2

24.–10x10Scale 1–10y18Scale 2

25.–13x13Scale 1–13y13Scale 1

26.–30x30Scale 3–25y25Scale 3

27.0x30Scale of 30y5,200Scale of 500

28.0x30Scale of 30y150,000Scale 10,000

29.–2x10Scale of 10y3,000Scale of 300

30.–2x10Scale of 10y2,000Scale of 200

31.y = 60332.y = –2,07033.y = 653

34.y = –2,53235.y = –40,79036.y = 18,838

37.y is approximately equal to 23,304.79

38.y is approximately equal to 30,045.76

39.a. Gives error message Invalid

b. x = 15 was not in the window as x values are from –10 to 10 only.

SECTION 0.8 HOMEWORK ANSWERS

1.x = 1.5 or –1.252.x = –5.5 or 1.43.x = 0.4 or –3 or 5.25

4.x = 5 or –3.5 or 0.25.x = –3 or –0.25 or 1 or 5

6.x = –2.2 or –0.75 or 0.5 or 47.x = –58.x = 3

9.x  –0.3028 or 3.302810.x  –0.3723 or 5.372311.x  –1.5414 or 4.5414

12.x –1.8471 or 0.180513.x= –3 or x–1.3028 or 2.3028

14.x=2 or x–1.1085 or 3.6085

15.Minimum = –1316. Minimum = –0.25

17.Maximum = 2918.Maximum = 10.0625

19.Minimum  –5.035720.Maximum  –8.4341

21.Maximum = 47 Minimum = –7822.Maximum = 130 Minimum = –213

23.Maximum = 22 Minimum = –23424.Maximum = 46 Minimum = –210

25.Maximum = 30 Minimum = –418 or –2.0625

26.Maximum  193.6296 Minimum = –251 or –2,652

27.Maximum  24.5849 Minimum –131.5849

28.Maximum  10.5317 Minimum  –12.5688

29.30.

31.32.

33.34.

35.36.

PROBLEMS 29–36 NEED OPEN CIRCLE AND CLOSED DOTS FOR ENDPOINTS AND ARROWS

CHAPTER 0 REVIEW HOMEWORK ANSWERS

1.7292.3.27

4.5.a9b136.12x7y5

7.8.9.

10.11.12.

13.14.15.8.32 x 106

16.5.98 x 10917.0.000000029318.9,340,000,000

19.20.21.

22.23.24.

25.26.27.

28.29.30.

31.32.33.61

34.3835.13x319x2636.16a3b22a2b2+21ab3

37.3y3+16y2238.2x2y17xy+8xy239.15a340a2+10a

40.15x5y2+20x3y2+45x3y341.15a222a+842.35x2+xy6y2

43.10x311x2944.8x327y345.9x225

46.25a4b281x247.25b2+30b+948.9x242xy+49y2

49.50.51.3x2+x5+

52.3x3+9x2+8x+24+53.9a(x3)54.5b3y2(4y+3b2)

55.(x9)(x+7)56.(y+15)(y8)57.(a+15b)(a+8b)

58.(ax9b)(ax10b)59.(3x+5)(x+3)60.(2a3)(3a7)

61.(2y5b)(4y+3b)62.(3a+5x)(5a4x)63.(x2+7)(x2+5)

64.(3x+5)265.(4a7b)266.Prime

67.(y11)(y+11)68.(2x5y)(2x+5y)69.Prime

70.(a4)(a2+4a+16)71.(2x+3y)(4x26xy+9y2)72.(x+3)(a+b)

73.(y3)(b+3)74.(x3y)(x3+y)75.(x3)(x+3)(a5)

76.3a(x9)(x+6)77.2b(2y+3)(3y5)78.(x3)(x+3)(x2+9)

79.(x3)(x+3)(x2)(x+2)80.5(y+5)(y25y+25)81.

82.83.84.x+4

85.86.87.

88.10x489.90.1

91.92.93.

94.a+995.596.y+5

97.98.99.

100.101.102.

103.104.105.

106.107.108.x = 4

109.x = 3110.x = 2111.x = 3

112.All real numbers113.No solution114.x =

115.No solution116.x = 117.x =

118.x = 119.x = or 3120.x = 1 or 4

121.No solutions122.x = 123.x = 2 or

124.x = or 125.x = or 126.No solutions

127.78,125128.21129.2

130.4.5131.25132.0.04

133.7134.27

135.Approximately 98,018.82136.Approximately 601.14

137.138.139.

140.141.142.

143.a.b.

c. Window for a.

144.a.b.

c. Window for b.

145.a.b.

c. Window a.

146.a.b.

c. Window a.

147150 The following are suggested windows.

147.2x12 Scale 1 6y22 Scale 2

148.4x10 Scale 1 24y20 Scale 2

149.4x4 Scale 0.4 18y18 Scale 2

150.0x20 Scale 2 0y68,000 Scale 6,000

151.y=211152.y= 1,478153.y=11,000

154.y15,860.85155.x= 4 or 1.6156.x= 2 or 0.25 or 3.5

157.x0.3723 or 5.3723158.x =3 or x4.1926 or 1.1926

159.Minimum= 5160.Maximum=15.5

161.Maximum=179 Minimum= 77

162.Maximum94.7709 Minimum=36 or 620.7709

163.164.

165.

CHAPTER 0 EXAM ANSWERS

1.2.83.

4.5.6.5.83 x 1011

7.2.857 x 1058.9.

10.11.12.

13.14.15.

16.17.18.11y216y6

19.2x2+13xy15y220.15x46x3+9x221.15x211xy14y2

22.15a322a2+29a1423.49a242ab+9b224.4x22x

25.3x2+x+3+26.5a3b2(23ab+4b2)27.(y12)(y+5)

28.(a3b)(a11b)29.(3x+2)(x+8)30.(2x+5a)2

31.(5x7)(5x+7)32.(x+3)(a+5)33.(y4)(y2+4y+16)

34.35.36.

37.38.39.1

40.41.42.

43.44.All real numbers45.x = 60

46.x = 3 or 247.x = 2 or 48.No solutions

49.x = or 50.51.

52.2353.21654.

5556 The following are suggested windows

55.2x7 Scale 1 15y15 Scale 1

56.0x30 Scale 3 0y200,000 Scale 20,000

57.y=68458.y30,440.63

59.x= 3 or 0.7560.x1.1350 or 1.4684

61.Maximum=1462.Maximum=56 Minimum=29.75

63.64.