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Elementary Algebra

Chapter 6

Elementary AlgebraChapter 6
  1. Preface
  2. 1 Foundations
    1. Introduction
    2. 1.1 Introduction to Whole Numbers
    3. 1.2 Use the Language of Algebra
    4. 1.3 Add and Subtract Integers
    5. 1.4 Multiply and Divide Integers
    6. 1.5 Visualize Fractions
    7. 1.6 Add and Subtract Fractions
    8. 1.7 Decimals
    9. 1.8 The Real Numbers
    10. 1.9 Properties of Real Numbers
    11. 1.10 Systems of Measurement
    12. Key Terms
    13. Key Concepts
    14. Exercises
      1. Review Exercises
      2. Practice Test
  3. 2 Solving Linear Equations and Inequalities
    1. Introduction
    2. 2.1 Solve Equations Using the Subtraction and Addition Properties of Equality
    3. 2.2 Solve Equations using the Division and Multiplication Properties of Equality
    4. 2.3 Solve Equations with Variables and Constants on Both Sides
    5. 2.4 Use a General Strategy to Solve Linear Equations
    6. 2.5 Solve Equations with Fractions or Decimals
    7. 2.6 Solve a Formula for a Specific Variable
    8. 2.7 Solve Linear Inequalities
    9. Key Terms
    10. Key Concepts
    11. Exercises
      1. Review Exercises
      2. Practice Test
  4. 3 Math Models
    1. Introduction
    2. 3.1 Use a Problem-Solving Strategy
    3. 3.2 Solve Percent Applications
    4. 3.3 Solve Mixture Applications
    5. 3.4 Solve Geometry Applications: Triangles, Rectangles, and the Pythagorean Theorem
    6. 3.5 Solve Uniform Motion Applications
    7. 3.6 Solve Applications with Linear Inequalities
    8. Key Terms
    9. Key Concepts
    10. Exercises
      1. Review Exercises
      2. Practice Test
  5. 4 Graphs
    1. Introduction
    2. 4.1 Use the Rectangular Coordinate System
    3. 4.2 Graph Linear Equations in Two Variables
    4. 4.3 Graph with Intercepts
    5. 4.4 Understand Slope of a Line
    6. 4.5 Use the Slope–Intercept Form of an Equation of a Line
    7. 4.6 Find the Equation of a Line
    8. 4.7 Graphs of Linear Inequalities
    9. Key Terms
    10. Key Concepts
    11. Exercises
      1. Review Exercises
      2. Practice Test
  6. 5 Systems of Linear Equations
    1. Introduction
    2. 5.1 Solve Systems of Equations by Graphing
    3. 5.2 Solve Systems of Equations by Substitution
    4. 5.3 Solve Systems of Equations by Elimination
    5. 5.4 Solve Applications with Systems of Equations
    6. 5.5 Solve Mixture Applications with Systems of Equations
    7. 5.6 Graphing Systems of Linear Inequalities
    8. Key Terms
    9. Key Concepts
    10. Exercises
      1. Review Exercises
      2. Practice Test
  7. 6 Polynomials
    1. Introduction
    2. 6.1 Add and Subtract Polynomials
    3. 6.2 Use Multiplication Properties of Exponents
    4. 6.3 Multiply Polynomials
    5. 6.4 Special Products
    6. 6.5 Divide Monomials
    7. 6.6 Divide Polynomials
    8. 6.7 Integer Exponents and Scientific Notation
    9. Key Terms
    10. Key Concepts
    11. Exercises
      1. Review Exercises
      2. Practice Test
  8. 7 Factoring
    1. Introduction
    2. 7.1 Greatest Common Factor and Factor by Grouping
    3. 7.2 Factor Quadratic Trinomials with Leading Coefficient 1
    4. 7.3 Factor Quadratic Trinomials with Leading Coefficient Other than 1
    5. 7.4 Factor Special Products
    6. 7.5 General Strategy for Factoring Polynomials
    7. 7.6 Quadratic Equations
    8. Key Terms
    9. Key Concepts
    10. Exercises
      1. Review Exercises
      2. Practice Test
  9. 8 Rational Expressions and Equations
    1. Introduction
    2. 8.1 Simplify Rational Expressions
    3. 8.2 Multiply and Divide Rational Expressions
    4. 8.3 Add and Subtract Rational Expressions with a Common Denominator
    5. 8.4 Add and Subtract Rational Expressions with Unlike Denominators
    6. 8.5 Simplify Complex Rational Expressions
    7. 8.6 Solve Rational Equations
    8. 8.7 Solve Proportion and Similar Figure Applications
    9. 8.8 Solve Uniform Motion and Work Applications
    10. 8.9 Use Direct and Inverse Variation
    11. Key Terms
    12. Key Concepts
    13. Exercises
      1. Review Exercises
      2. Practice Test
  10. 9 Roots and Radicals
    1. Introduction
    2. 9.1 Simplify and Use Square Roots
    3. 9.2 Simplify Square Roots
    4. 9.3 Add and Subtract Square Roots
    5. 9.4 Multiply Square Roots
    6. 9.5 Divide Square Roots
    7. 9.6 Solve Equations with Square Roots
    8. 9.7 Higher Roots
    9. 9.8 Rational Exponents
    10. Key Terms
    11. Key Concepts
    12. Exercises
      1. Review Exercises
      2. Practice Test
  11. 10 Quadratic Equations
    1. Introduction
    2. 10.1 Solve Quadratic Equations Using the Square Root Property
    3. 10.2 Solve Quadratic Equations by Completing the Square
    4. 10.3 Solve Quadratic Equations Using the Quadratic Formula
    5. 10.4 Solve Applications Modeled by Quadratic Equations
    6. 10.5 Graphing Quadratic Equations
    7. Key Terms
    8. Key Concepts
    9. Exercises
      1. Review Exercises
      2. Practice Test
  12. Answer Key
    1. Chapter 1
    2. Chapter 2
    3. Chapter 3
    4. Chapter 4
    5. Chapter 5
    6. Chapter 6
    7. Chapter 7
    8. Chapter 8
    9. Chapter 9
    10. Chapter 10
  13. Index

Be Prepared

Try It

6.1

monomial polynomial trinomial binomial monomial

6.2

binomial trinomial monomial polynomial monomial

6.3

11 44 1212 3 0

6.4

00 55 11 2 3

6.5

21q221q2

6.6

−7c2−7c2

6.7

13m13m

6.8

−10z3−10z3

6.9

5y2+3z25y2+3z2

6.10

−4m2+n2−4m2+n2

6.11

There are no like terms to combine.

6.12

There are no like terms to combine.

6.13

8x211x+18x211x+1

6.14

17y2+14y+117y2+14y+1

6.15

15x2+3x515x2+3x5

6.16

6b2+36b2+3

6.17

2z2+12z22z2+12z2

6.18

5x2+14x+75x2+14x+7

6.19

5x25xy+5y25x25xy+5y2

6.20

7x26xy2y27x26xy2y2

6.21

−5ab5b2−5ab5b2

6.22

4n2+7mn4n2+7mn

6.23

x3y3x3y3

6.24

p32p2q+q3p32p2q+q3

6.25

1818 5050 −15−15

6.26

1818 −4−4 1414

6.27

250250

6.28

106106

6.29

$576

6.30

$750

6.31

216 1515 949949 0.1849

6.32

3232 21 81258125 0.0475240.047524

6.33

8181 −81−81

6.34

169169 −169−169

6.35

b17b17

6.36

x16x16

6.37

5656 418418

6.38

714714 10111011

6.39

p6p6 y43y43

6.40

z8z8 b49b49

6.41

x18x18

6.42

b19b19

6.43

b35b35 512512

6.44

z54z54 349349

6.45

144y2144y2 32w5x532w5x5

6.46

125w3x3125w3x3 −27y3−27y3

6.47

a48a48 −8c12d6−8c12d6

6.48

81x24y2881x24y28 q29q29

6.49

75n1275n12 81c24d3081c24d30

6.50

256a22b24256a22b24 40x1040x10

6.51

−35y11−35y11

6.52

54b954b9

6.53

6a5b66a5b6

6.54

8r11s88r11s8

6.55

5x+355x+35

6.56

3y+393y+39

6.57

x27xx27x

6.58

d211dd211d

6.59

5x2+20xy5x2+20xy

6.60

12p2+2pr12p2+2pr

6.61

−15y324y2+21y−15y324y2+21y

6.62

8x424x3+20x28x424x3+20x2

6.63

12x320x2+12x12x320x2+12x

6.64

−18a5+12a436a3−18a5+12a436a3

6.65

xp+8pxp+8p

6.66

ap+4pap+4p

6.67

x2+17x+72x2+17x+72

6.68

20x2+51x+2720x2+51x+27

6.69

12b2+38b+3012b2+38b+30

6.70

a2+17a+70a2+17a+70

6.71

30y23y630y23y6

6.72

15c2+14c815c2+14c8

6.73

a2ab+7a7ba2ab+7a7b

6.74

x2xy+5x5yx2xy+5x5y

6.75

x2+14x+48x2+14x+48

6.76

y2+20y+51y2+20y+51

6.77

x22x35x22x35

6.78

b2+3b18b2+3b18

6.79

15x2+29x1415x2+29x14

6.80

16y220y5016y220y50

6.81

10c260ccd+6d10c260ccd+6d

6.82

14x235x2xy+10y14x235x2xy+10y

6.83

x38x2+6x48x38x2+6x48

6.84

y39y2+7y63y39y2+7y63

6.85

8a2b2+12ab208a2b2+12ab20

6.86

8x2y2+2xy158x2y2+2xy15

6.87

15m251m+4215m251m+42

6.88

42b253b+1542b253b+15

6.89

y38y2+17y6y38y2+17y6

6.90

2x3+5x27x+202x3+5x27x+20

6.91

y38y2+17y6y38y2+17y6

6.92

2x3+5x27x+202x3+5x27x+20

6.93

x2+18x+81x2+18x+81

6.94

y2+22y+121y2+22y+121

6.95

x218x+81x218x+81

6.96

p226p+169p226p+169

6.97

36x2+36x+936x2+36x+9

6.98

16x2+72x+8116x2+72x+81

6.99

4c24cd+d24c24cd+d2

6.100

16x240xy+25y216x240xy+25y2

6.101

4x4+4x2+14x4+4x2+1

6.102

9y6+12y3+49y6+12y3+4

6.103

x225x225

6.104

w29w29

6.105

36x22536x225

6.106

4x2494x249

6.107

4916x24916x2

6.108

814y2814y2

6.109

16p249q216p249q2

6.110

9x2y29x2y2

6.111

x2y236x2y236

6.112

a2b281a2b281

6.113

9x416y69x416y6

6.114

4m425n64m425n6

6.115

FOIL; 18b2+77b1818b2+77b18 Binomial Squares; 81p272p+1681p272p+16 Binomial Squares; 49y2+14y+149y2+14y+1 Product of Conjugates; 16r2916r29

6.116

Binomial Squares; 36x2+84x+4936x2+84x+49 Product of Conjugates; 9x2169x216 FOIL; 10x229x+1010x229x+10 Binomial Squares; 36n212n+136n212n+1

6.117

x5x5 6969

6.118

y6y6 108108

6.119

1x41x4 1121511215

6.120

1m81m8 19111911

6.121

b8b8 1z61z6

6.122

1p81p8 w4w4

6.123

1 1

6.124

1 1

6.125

11 11

6.126

11 11

6.127

25642564 p410,000p410,000 m7n7m7n7

6.128

127127 −8q3−8q3 w4x4w4x4

6.129

m13m13

6.130

k5k5

6.131

1

6.132

1

6.133

r8r8

6.134

v6v6

6.135

a12b8a12b8

6.136

q21r15q21r15

6.137

49x681y249x681y2

6.138

9x849y29x849y2

6.139

1a61a6

6.140

1p151p15

6.141

9r189r18

6.142

2x2x

6.143

7y67y6

6.144

6z66z6

6.145

9a5b9a5b

6.146

−9dc4−9dc4

6.147

2a63b22a63b2

6.148

3q65p83q65p8

6.149

4y27x44y27x4

6.150

58m5n358m5n3

6.151

2ab22ab2

6.152

−4xy5−4xy5

6.153

2z2+62z2+6

6.154

2z232z23

6.155

9b211b9b211b

6.156

5y211y5y211y

6.157

−5y2+3y−5y2+3y

6.158

−7b2+3b−7b2+3b

6.159

15d4+6d215d4+6d2

6.160

36p48p236p48p2

6.161

−4a+2b−4a+2b

6.162

8a5b+6a3b28a5b+6a3b2

6.163

5xy+3y2y25xy+3y2y2

6.164

5a2+2a2b6b25a2+2a2b6b2

6.165

3c+132c3c+132c

6.166

2d125d2d125d

6.167

y+7y+7

6.168

m+5m+5

6.169

2x+52x+5

6.170

3x+23x+2

6.171

x2+3x+2+2x+2x2+3x+2+2x+2

6.172

2x2+6x53x+12x2+6x53x+1

6.173

x22x+7x22x+7

6.174

x38x2+40x200x38x2+40x200

6.175

x2+4x+16x2+4x+16

6.176

25x2+10x+425x2+10x+4

6.177

1818 11071107

6.178

1919 110,000110,000

6.179

p8p8 6464

6.180

q7q7 1616

6.181

81168116 n236m2n236m2

6.182

1252712527 16b4a416b4a4

6.183

125125 125125 25 −25−25

6.184

149149 149149 49 −49−49

6.185

22 118118

6.186

2 12561256

6.187

1y71y7 1z151z15

6.188

1p91p9 1q241q24

6.189

8p8p 18p18p 18p18p

6.190

111q111q 111q111q111q111q 11q11q

6.191

x4x4 1y51y5 1z91z9

6.192

a5a5 1b41b4 1c151c15

6.193

1p3q31p3q3

6.194

1r2s81r2s8

6.195

12v5u12v5u

6.196

30d3c830d3c8

6.197

116x8116x8

6.198

116b12116b12

6.199

64a864a8

6.200

8c128c12

6.201

x11x11

6.202

y14y14

6.203

9.6×1049.6×104

6.204

4.83×1044.83×104

6.205

7.8×10−37.8×10−3

6.206

1.29×10−21.29×10−2

6.207

1,300

6.208

92,500

6.209

0.00012

6.210

0.075

6.211

0.06

6.212

0.009

6.213

400,000

6.214

20,000

Section 6.1 Exercises

1.

trinomial polynomial binomial monomial binomial

3.

binomial trinomial polynomial trinomial monomial

5.

2 4 1 3 0

7.

1 2 3 3 0

9.

12x212x2

11.

6w6w

13.

−5a−5a

15.

40x40x

17.

−22b−22b

19.

−10a+5b−10a+5b

21.

−4a2+b2−4a2+b2

23.

xy25x5y2xy25x5y2

25.

a2b4a5ab2a2b4a5ab2

27.

12a+8b12a+8b

29.

−4a3b−4a3b

31.

−17x6−17x6

33.

11y2+4y+1111y2+4y+11

35.

−3x2+17x1−3x2+17x1

37.

11x25x+511x25x+5

39.

6a24a16a24a1

41.

2m27m+42m27m+4

43.

5a+35a+3

45.

12s216s+912s216s+9

47.

3x2x+43x2x+4

49.

w2+3w+4w2+3w+4

51.

2p3+p2+9p+102p3+p2+9p+10

53.

8a3+a22a+128a3+a22a+12

55.

11w6611w66

57.

12c4512c45

59.

10x27xy+6y210x27xy+6y2

61.

10m2+3mn8n210m2+3mn8n2

63.

−3ab+3b2−3ab+3b2

65.

4uv+2v24uv+2v2

67.

p36p2q+pq2+4q3p36p2q+pq2+4q3

69.

x3+2x2y5xy2+y3x3+2x2y5xy2+y3

71.

187 46 2

73.

−104 4 40

75.

11

77.

$10,800

79.

4

81.

$58

83.

149

85.

Answers will vary.

87.

Answers will vary.

Section 6.2 Exercises

89.

10,000 17 481481 0.125

91.

512 8 27642764
0.064

93.

64 −64−64

95.

4949
4949

97.

−0.0001−0.0001 0.0001

99.

x6x6

101.

q42q42

103.

316316 5555

105.

w6w6 u94u94

107.

y9y9

109.

c18c18

111.

ny+2ny+2

113.

xp+qxp+q

115.

b14b14 316316

117.

x2yx2y 7ab7ab

119.

25x225x2 16a2b216a2b2

121.

−343n3−343n3 81x4y4z481x4y4z4

123.

w22w22 32x5y2032x5y20

125.

−1000q6p12−1000q6p12 n40n40

127.

48y448y4 25,000k2425,000k24

129.

432b5432b5 1200j161200j16

131.

128r8128r8 1200j161200j16

133.

−18y11−18y11

135.

72u772u7

137.

4f114f11

139.

36a5b736a5b7

141.

8r2s58r2s5

143.

12x3y312x3y3

145.

x14x14

147.

a36a36

149.

8m188m18

151.

1000x6y31000x6y3

153.

16a12b816a12b8

155.

827x6y3827x6y3

157.

1024a101024a10

159.

25000p2425000p24

161.

x18y18x18y18

163.

144m8n22144m8n22

165.

1,000,0001,000,000

167.

$168.07

169.

Answers will vary.

171.

Answers will vary.

Section 6.3 Exercises

173.

4w+404w+40

175.

−3a21−3a21

177.

2x142x14

179.

−3k+12−3k+12

181.

q2+5qq2+5q

183.

b29bb29b

185.

x2+10xx2+10x

187.

24r2+6rs24r2+6rs

189.

12x2120x12x2120x

191.

−27a245a−27a245a

193.

3p2+30p+753p2+30p+75

195.

−8x316x2+120x−8x316x2+120x

197.

5q610q4+30q35q610q4+30q3

199.

−8y316y2+120y−8y316y2+120y

201.

5q510q4+30q35q510q4+30q3

203.

−12z448z3+4z2−12z448z3+4z2

205.

2m29m2m29m

207.

8w488w48

209.

4x+404x+40

211.

15r36015r360

213.

−3m33−3m33

215.

−8z+40−8z+40

217.

u2+5uu2+5u

219.

n33n2n33n2

221.

24x2+6xy24x2+6xy

223.

55p225pq55p225pq

225.

3v2+30v+753v2+30v+75

227.

8n38n2+2n8n38n2+2n

229.

−8y316y2+120y−8y316y2+120y

231.

5q510q4+30q35q510q4+30q3

233.

−12z448z3+4z2−12z448z3+4z2

235.

18y29y18y29y

237.

w2+12w+35w2+12w+35

239.

p2+7p44p2+7p44

241.

x2+11x+24x2+11x+24

243.

y28y+12y28y+12

245.

w2+3w28w2+3w28

247.

p2+7p60p2+7p60

249.

6p2+11p+56p2+11p+5

251.

20t288t920t288t9

253.

15x23xy30x+6y15x23xy30x+6y

255.

2a2+5ab+3b22a2+5ab+3b2

257.

4z224zzy+6y4z224zzy+6y

259.

x3+2x2+3x+6x3+2x2+3x+6

261.

x4+3x240x4+3x240

263.

10a2b2+13ab310a2b2+13ab3

265.

24p2q242pq+1524p2q242pq+15

267.

x3+9x2+23x+15x3+9x2+23x+15

269.

4y3+33y2+y564y3+33y2+y56

271.

w316w2+73w70w316w2+73w70

273.

3q311q219q53q311q219q5

275.

14y1314y13

277.

−11x28−11x28

279.

15q330q2+55q15q330q2+55q

281.

s2+2s63s2+2s63

283.

y3y22yy3y22y

285.

3n3n225n+283n3n225n+28

287.

49p210049p2100

289.

4m43m37m24m43m37m2

291.

25a2+70ab+49b225a2+70ab+49b2

293.

16y2144z216y2144z2

295.

306 306 Answers will vary.

297.

Answers will vary.

299.

Answers may vary.

301.

Answers may vary.

Section 6.4 Exercises

303.

q2+24q+144q2+24q+144

305.

x2+43x+49x2+43x+49

307.

y212y+36y212y+36

309.

p226p+169p226p+169

311.

16a2+80a+10016a2+80a+100

313.

9z2+65z+1259z2+65z+125

315.

4y212yz+9z24y212yz+9z2

317.

164x2136xy+181y2164x2136xy+181y2

319.

25u4+90u2+8125u4+90u2+81

321.

64p648p3+964p648p3+9

323.

c225c225

325.

b23649b23649

327.

64j21664j216

329.

81c22581c225

331.

169q2169q2

333.

1636y21636y2

335.

49w2100x249w2100x2

337.

p21625q2p21625q2

339.

x2y281x2y281

341.

r2s2449r2s2449

343.

36m616n1036m616n10

345.

225m464n8225m464n8

347.

4r2+48r+1444r2+48r+144 9p2649p264 7a248ab7b27a248ab7b2 k212k+36k212k+36

349.

x10y10x10y10 m616m3n+64n2m616m3n+64n2 81p2+144pq+64q281p2+144pq+64q2 r5+r2s2r3s3s5r5+r2s2r3s3s5

351.

4,225 4,225 Answers will vary.

353.

Answers will vary.

355.

Answers will vary.

Section 6.5 Exercises

357.

y10y10 714714

359.

u21u21 910910

361.

1t301t30 164164

363.

1x61x6 11001100

365.

1 1

367.

−1−1 −1−1

369.

1 6

371.

7 1

373.

−7−7 0

375.

425425 x481x481 a5b5a5b5

377.

x38y3x38y3 10,00081q410,00081q4

379.

p7p7

381.

x5x5

383.

1

385.

1n161n16

387.

q18q18

389.

1m121m12

391.

a3b18a3b18

393.

y20z50y20z50

395.

27m15125n327m15125n3

397.

625u2816v12625u2816v12

399.

j9j9

401.

1q81q8

403.

64k664k6

405.

−4,000−4,000

407.

7v87v8

409.

−6u8−6u8

411.

3x3y123x3y12

413.

−2m33n5−2m33n5

415.

−3y34x3−3y34x3

417.

65a3b242c365a3b242c3

419.

−3q5p5−3q5p5

421.

5v4u25v4u2

423.

18n1018n10
12n1012n10
45n2045n20
5

425.

q8q8
q15q15

427.

zz 1z1z

429.

6y66y6

431.

15c615c6

433.

3x23x2

435.

yz2yz2

437.

103103

439.

Answers will vary.

441.

Answers will vary.

Section 6.6 Exercises

443.

6b+156b+15

445.

6x22x6x22x

447.

11w211w2

449.

4x2+3x4x2+3x

451.

−5b2+3b−5b2+3b

453.

−17m424m3−17m424m3

455.

103z512z2103z512z2

457.

17y2+1417y2+14

459.

−5x3+3−5x3+3

461.

−6y2+3y−6y2+3y

463.

9x2y3+12y9x2y3+12y

465.

7c10c2d5cd27c10c2d5cd2

467.

6r3+11r2s8rs36r3+11r2s8rs3

469.

4q+113q4q+113q

471.

−5y3+14y−5y3+14y

473.

7a12+11a7a12+11a

475.

d+6d+6

477.

a7a7

479.

x7x7

481.

4x+34x+3

483.

p+38p+8p+38p+8

485.

x+7+5x5x+7+5x5

487.

2n26n+82n26n+8

489.

7q2+7q+27q2+7q+2

491.

m210m+100m210m+100

493.

x2+6x+36x2+6x+36

495.

25y2+20x+1625y2+20x+16

497.

45

499.

Answers will vary.

Section 6.7 Exercises

501.

181181 11001100

503.

12561256 11001100

505.

c5c5 25

507.

t9t9 10000

509.

10091009 c3d38c3d38

511.

83438343 x3y627x3y627

513.

149149 149149 49 −49−49

515.

11251125 −125−125 −125−125 11251125

517.

2525 110110

519.

316316 11441144

521.

1b51b5 1k101k10

523.

1s81s8 1a901a90

525.

6r6r 16r16r 16r16r

527.

116q4116q4 2q42q4 2q42q4

529.

1s41s4 1q51q5 1y71y7

531.

1 y6y6 1y41y4

533.

1x1x

535.

1m2n41m2n4

537.

1p5q71p5q7

539.

14k5j314k5j3

541.

40n3m40n3m

543.

164y9164y9

545.

4p104p10

547.

n7n7

549.

y5y5

551.

3.4×1053.4×105

553.

1.29×1061.29×106

555.

4.1×10−24.1×10−2

557.

1.03×10−61.03×10−6

559.

830

561.

16,000,000,000

563.

0.038

565.

0.0000193

567.

0.02

569.

5.6×10−65.6×10−6

571.

500,000,000

573.

20,000,000

575.

6.85×1096.85×109.

577.

5.7×10−95.7×10−9

579.

15,000,000,000,000

581.

0.00001

583.

1.545×1081.545×108

585.

1.86×10131.86×1013 3×1083×108 6.2×1046.2×104

587.

answers will vary

Review Exercises

589.

binomial monomial trinomial trinomial other polynomial

591.

3 4 2 4 0

593.

5k5k

595.

−27c−27c

597.

7n27n2

599.

13a+b13a+b

601.

13p25p113p25p1

603.

7y29y+47y29y+4

605.

5a3+a2+6a+25a3+a2+6a+2

607.

−26−26 10 22

609.

12,000

611.

17

613.

0.125

615.

−64−64

617.

p31p31

619.

8686

621.

yc+3yc+3

623.

5656

625.

3rs3rs

627.

−125y3−125y3

629.

1000x3y3z31000x3y3z3

631.

64a9b664a9b6

633.

48q1448q14

635.

8125m6n38125m6n3

637.

144n8144n8

639.

15a2b515a2b5

641.

−4y52−4y52

643.

p2+3pp2+3p

645.

−12u242u−12u242u

647.

3q421q3+18q23q421q3+18q2

649.

11b4411b44

651.

12y244y+3512y244y+35 12y244y+3512y244y+35 12y244y+3512y244y+35

653.

y212y+32y212y+32

655.

q2+13q48q2+13q48

657.

u4+u230u4+u230

659.

16m2n22mn316m2n22mn3

661.

18x321x234x+4018x321x234x+40 18x321x234x+4018x321x234x+40

663.

7m369m231m37m369m231m3

665.

q230q+225q230q+225

667.

64u2+16u+164u2+16u+1

669.

16a224ab+9b216a224ab+9b2

671.

y2425y2425

673.

36r236r2

675.

25p816q625p816q6

677.

36a212136a2121

679.

c8+18c4d+81d2c8+18c4d+81d2

681.

4a3+3a2b4b34a3+3a2b4b3

683.

10201020

685.

1v361v36

687.

157157

689.

1

691.

1

693.

1

695.

0

697.

m481m481

699.

x664y6x664y6

701.

1

703.

r20r20

705.

343x2032y10343x2032y10

707.

10,125n10410,125n104

709.

4b6a54b6a5

711.

9p29p2

713.

7x157x15

715.

55p330p55p330p

717.

12a46a3b7ab212a46a3b7ab2

719.

21y2+101y221y2+101y2

721.

v8v8

723.

n6+4n+3n6+4n+3

725.

u2+2u+4u2+2u+4

727.

11251125

729.

1216u31216u3

731.

169169

733.

1q111q11

735.

1y81y8

737.

1a41a4

739.

rr

741.

4.29×10−34.29×10−3

743.

7.2×1097.2×109

745.

15,000,000,00015,000,000,000

747.

0.550.55

749.

0.02170.0217

751.

0.00000030.0000003

Practice Test

753.

15a2+a615a2+a6

755.

81258125

757.

16a6b1016a6b10

759.

3k321k2+39k3k321k2+39k

761.

9v286v+459v286v+45

763.

n311n2+34n24n311n2+34n24

765.

49p22549p225

767.

1919

769.

11

771.

6x+213x6x+213x

773.

16x2+4x+116x2+4x+1

775.

125125

777.

1q91q9

779.

8.3×1078.3×107

781.

74,800

783.

424 feet

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