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  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 Solving 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 Trinomials of the Form x2+bx+c
    4. 7.3 Factor Trinomials of the Form ax2+bx+c
    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 in Two Variables
    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

1.1

ten millions tens hundred thousands millions ones

1.2

billions ten thousands tens hundred thousands hundred millions

1.3

nine trillion, two hundred fifty-eight billion, one hundred thirty-seven million, nine hundred four thousand, sixty-one

1.4

seventeen trillion, eight hundred sixty-four billion, three hundred twenty-five million, six hundred nineteen thousand four

1.5

2,466,714,0512,466,714,051

1.6

11,921,830,10611,921,830,106

1.7

17,90017,900

1.8

468,800468,800

1.9

207,000 207,000 210,000

1.10

785,000 785,000 780,000

1.11

by 2, 3, and 6

1.12

by 3 and 5

1.13

2·2·2·2·52·2·2·2·5

1.14

2·2·3·52·2·3·5

1.15

2·3·3·72·3·3·7

1.16

2·3·7·72·3·7·7

1.17

36

1.18

72

1.19

36

1.20

72

1.21

84

1.22

96

1.23

14 is less than or equal to 27 19 minus 2 is not equal to 8 12 is greater than 4 divided by 2 x minus 7 is less than 1

1.24

19 is greater than or equal to 15 7 is equal to 12 minus 5 15 divided by 3 is less than 8 y plus 3 is greater than 6

1.25

equation expression

1.26

expression equation

1.27

125 1

1.28

49 0

1.29

2 14

1.30

35 99

1.31

16

1.32

23

1.33

86

1.34

1

1.35

13 5

1.36

8 16

1.37

99 6464

1.38

216216 6464

1.39

40

1.40

9

1.41

17 41 1

1.42

9 13 1

1.43

9 and 15, y2y2 and 11y2,11y2, 2x32x3 and 8x38x3

1.44

19 and 24, 8x28x2 and 3x2,3x2, 4x34x3 and 6x36x3

1.45

4x2,5x,174x2,5x,17

1.46

5x, 2y

1.47

10x2+16x+1710x2+16x+17

1.48

12y2+9y+712y2+9y+7

1.49

14x21314x213 12x÷212x÷2

1.50

17y2+1917y2+19 7y

1.51

x+11x+11 11a1411a14

1.52

z+13z+13 8x188x18

1.53

4(p+q)4(p+q) 4p+q4p+q

1.54

2x82x8 2(x8)2(x8)

1.55

w7w7

1.56

l6l6

1.57

4q84q8

1.58

7n+37n+3

1.59

> < > >

1.60

< > < >

1.61

−4−4 3 1

1.62

−8−8 5 5

1.63

−4−4 4

1.64

−11−11 11

1.65

4 28 0

1.66

13 47 0

1.67

> > < >

1.68

> > > <

1.69

16

1.70

9

1.71

1717 3939 −22−22 −11−11

1.72

2323 2121 −37−37 −49−49

1.73

6 −6−6

1.74

7 −7−7

1.75

2 −2−2

1.76

3 −3−3

1.77

−50−50 −17−17

1.78

−70−70 −36−36

1.79

13

1.80

0

1.81

2 −2−2

1.82

3 −3−3

1.83

−10−10 10

1.84

−11−11 11

1.85

8 −18

1.86

88 −22−22

1.87

1919 −4−4

1.88

23 3

1.89

3

1.90

13

1.91

−48−48 28 −63−63 60

1.92

−56−56 54 −28−28 39

1.93

−9−9 17

1.94

−8−8 16

1.95

−7−7 39

1.96

−9−9 23

1.97

−63−63

1.98

−84−84

1.99

81 −81−81

1.100

49 −49−49

1.101

29

1.102

52

1.103

4

1.104

9

1.105

21

1.106

6

1.107

−6−6 10

1.108

−1−1 17

1.109

196

1.110

8

1.111

−2−2 36

1.112

−19−19 9

1.113

39

1.114

13

1.115

(9+(−16))+4;3(9+(−16))+4;3

1.116

(−8+(−12))+7;13(−8+(−12))+7;13

1.117

14(−23);3714(−23);37 −1721;38−1721;38

1.118

11(−19);3011(−19);30 −1118;29−1118;29

1.119

−5(12);60−5(12);60

1.120

8(−13);1048(−13);104

1.121

−63÷(−9);7−63÷(−9);7

1.122

−72÷(−9);8−72÷(−9);8

1.123

The difference in temperatures was 45 degrees.

1.124

The difference in temperatures was 9 degrees.

1.125

The Bears lost 105 yards.

1.126

A $16 fee was deducted from his checking account.

1.127

610,915,1220;610,915,1220; answers may vary

1.128

810,1215,1620;810,1215,1620; answers may vary

1.129

7979

1.130

5959

1.131

23402340

1.132

5858

1.133

xyxy

1.134

abab

1.135

421421

1.136

316316

1.137

−33a−33a

1.138

−26b−26b

1.139

215p215p

1.140

158q158q

1.141

415415

1.142

2323

1.143

4545

1.144

11141114

1.145

34b34b

1.146

4q4q

1.147

3434

1.148

5353

1.149

4

1.150

2

1.151

abcdabcd

1.152

p+qrp+qr

1.153

x+34x+34

1.154

y+58y+58

1.155

13141314

1.156

7878

1.157

16x16x

1.158

22a22a

1.159

−1−1

1.160

2323

1.161

79607960

1.162

1036010360

1.163

196196

1.164

7522475224

1.165

3y+14183y+1418

1.166

5x+14305x+1430

1.167

27a323627a3236 2a32a3

1.168

24k53024k530 2k152k15

1.169

190190

1.170

272272

1.171

2

1.172

2727

1.173

−1−1 1212

1.174

7676 1414

1.175

1414

1.176

178178

1.177

1212

1.178

2323

1.179

5252

1.180

3232

1.181

six and seven tenths

1.182

five and eight tenths

1.183

negative thirteen and four hundred sixty-one thousandths

1.184

negative two and fifty-three thousandths

1.185

13.068

1.186

5.094

1.187

1.05

1.188

9.17

1.189

6.58 6.6 7

1.190

15.218 15.22 15.2

1.191

16.49

1.192

23.593

1.193

0.42

1.194

12.58

1.195

−27.4815−27.4815

1.196

−87.6148−87.6148

1.197

25.8 258 2,580

1.198

142 1,420 14,200

1.199

587.3

1.200

34.25

1.201

$0.19

1.202

$0.42

1.203

117500117500

1.204

31253125

1.205

−0.875−0.875

1.206

−0.375−0.375

1.207

2.452.45

1.208

2.3182.318

1.209

5.275

1.210

6.35

1.211

0.09 0.87 0.039

1.212

0.03 0.91 0.083

1.213

17% 175% 8.25%

1.214

41% 225% 9.25%

1.215

6 13

1.216

4 14

1.217

−2−2 −15−15

1.218

−9−9 −10−10

1.219

−241−241 357100357100

1.220

−191−191 841100841100

1.221

0.29,0.8160.29,0.816 2.5151151112.515115111

1.222

2.63,0.1252.63,0.125 0.4183020.418302

1.223

rational irrational

1.224

irrational rational

1.225

not a real number real number

1.226

real number not a real number

1.227

4,494,49 −3,4,49−3,4,49 −3,0.3,95,4,49−3,0.3,95,4,49 22 −3,2,0.3,95,4,49−3,2,0.3,95,4,49

1.228

6,1216,121 25,−1,6,12125,−1,6,121 25,38,−1,6,12125,38,−1,6,121 2.0419752.041975 25,38,−1,6,121,2.04197525,38,−1,6,121,2.041975

1.231

> > < <

1.232

< < > <

1.237

>

1.238

>

1.239

>

1.240

<

1.241

>

1.242

>

1.243

32r+29s32r+29s

1.244

41m+6n41m+6n

1.245

17151715

1.246

129129

1.247

32x

1.248

−63y−63y

1.249

7979 −1.2−1.2 1414 9494

1.250

713713 −8.4−8.4 4646 5252

1.251

1414 −7−7 103103

1.252

118118 5454 5353

1.253

0 0 undefined

1.254

0 0 undefined

1.255

−48a−48a

1.256

−92x−92x

1.257

549549

1.258

11251125

1.259

0 undefined

1.260

0 undefined

1.261

20y+5020y+50

1.262

12z+1612z+16

1.263

4x+84x+8

1.264

6x+426x+42

1.265

5y+35y+3

1.266

4n+94n+9

1.267

70+15p70+15p

1.268

4+35d4+35d

1.269

−18m15−18m15

1.270

−48n66−48n66

1.271

−10+15a−10+15a

1.272

−56+105y−56+105y

1.273

z+11z+11

1.274

x+4x+4

1.275

33x33x

1.276

2x202x20

1.277

5x665x66

1.278

7x137x13

1.279

2.5 feet

1.280

54 feet

1.281

8,600 pounds

1.282

102,000,000 pounds

1.283

440,000,000 yards

1.284

151,200 minutes

1.285

16 cups

1.286

48 teaspoons

1.287

8 lbs.15 oz8 lbs.15 oz

1.288

21 ft. 6 in.

1.289

4 lbs. 8 oz.

1.290

11 gal. 2 qt.

1.291

5,000 meters

1.292

250 centimeters

1.293

2.8 kilograms

1.294

4.5 kilograms

1.295

0.725 kiloliters 6,300 milliliters

1.296

35,000 liters 410 centiliters

1.297

83 centimeters

1.298

1.04 meters

1.299

2 liters

1.300

2.4 kilograms

1.301

2.12 quarts

1.302

3.8 liters

1.303

19,335.6 feet

1.304

3469.57 miles

1.305

15°C15°C

1.306

5°C5°C

1.307

59°F59°F

1.308

50°F50°F

Section 1.1 Exercises

1.

thousands hundreds tens ten thousands ones

3.

ones ten thousands hundred thousands tens hundreds

5.

ten millions ten thousands tens thousands millions

7.

trillions billions millions tens thousands

9.

one thousand, seventy-eight

11.

three hundred sixty-four thousand, five hundred ten

13.

five million, eight hundred forty-six thousand, one hundred three

15.

thirty-seven million, eight hundred eighty-nine thousand, five

17.

412

19.

35,975

21.

11,044,167

23.

3,226,512,017

25.

390 2,930

27.

13,700 391,800

29.

1,490 1,500

31.

64,000 63,000

33.

392,500 393,000 390,000

35.

2,587,000 2,587,000 2,590,000

37.

divisible by 2, 3, and 6

39.

divisible by 3 and 5

41.

divisible by 2, 3, 5, 6, and 10

43.

divisible by 2

45.

divisible by 2, 5, and 10

47.

divisible by 3 and 5

49.

2·432·43

51.

2·2·3·112·2·3·11

53.

3·3·7·113·3·7·11

55.

2·2·2·2·3·3·32·2·2·2·3·3·3

57.

2·2·2·2·3·3·3·52·2·2·2·3·3·3·5

59.

24

61.

48

63.

60

65.

24

67.

280

69.

440

71.

twenty-four thousand, four hundred ninety-three dollars

73.

$24,490 $24,500 $24,000 $20,000

75.

1,000,000,000 1,300,000,000 1,340,000,000

77.

40

79.

Answers may vary.

81.

Answers may vary.

Section 1.2 Exercises

83.

16 minus 9, the difference of sixteen and nine

85.

28 divided by 4, the quotient of twenty-eight and four

87.

2 times 7, the product of two and seven

89.

fourteen is less than twenty-one

91.

thirty-six is greater than or equal to nineteen

93.

y minus 1 is greater than 6, the difference of y and one is greater than six

95.

2 is less than or equal to 18 divided by 6; 2 is less than or equal to the quotient of eighteen and six

97.

equation

99.

expression

101.

expression

103.

125

105.

256

107.

43 55

109.

5

111.

34

113.

58

115.

6

117.

4

119.

35

121.

58

123.

149

125.

50

127.

22

129.

144

131.

32

133.

21

135.

9

137.

73

139.

54

141.

8

143.

5

145.

x3and8x3,14and5x3and8x3,14and5

147.

16and4,16b2and9b216and4,16b2and9b2

149.

15x2,6x,215x2,6x,2

151.

10y3,y,210y3,y,2

153.

13x

155.

7c

157.

10u+310u+3

159.

22a+122a+1

161.

17x2+20x+1617x2+20x+16

163.

149149

165.

9·79·7

167.

36÷936÷9

169.

8x+3x8x+3x

171.

y3y3

173.

8(y9)8(y9)

175.

c+3c+3

177.

2n72n7

179.

$750 $1,350

181.

Answers may vary

183.

Answers may vary

Section 1.3 Exercises

185.

> < < >

187.

−2−2 6

189.

4

191.

15

193.

−12−12 12

195.

32 0 16

197.

< ==

199.

5,−55,−5

201.

56

203.

0

205.

8

207.

−19−19 −33−33

209.

−80−80

211.

32

213.

−22−22

215.

108

217.

29

219.

6

221.

−9−9

223.

12

225.

16 16

227.

45 45

229.

27

231.

−39−39

233.

−59−59

235.

−51−51

237.

–99

239.

−2−2

241.

−2−2

243.

22

245.

5

247.

4

249.

6

251.

−8−8

253.

−11−11

255.

20,320 feet −282 feet

257.

$540 million $27$27 billion

259.

32, negative

261.

Answers may vary

263.

Answers may vary

Section 1.4 Exercises

265.

−32−32

267.

−63−63

269.

−6−6

271.

14

273.

−4−4

275.

13

277.

−12−12

279.

−47−47

281.

64

283.

−16−16

285.

90

287.

9

289.

41

291.

−9−9

293.

−29−29

295.

5

297.

−47−47 16

299.

−4−4 10

301.

−8−8

303.

−16−16

305.

121

307.
  1. 1
  2. 33
309.

−5−5 25

311.

21

313.

−56−56

315.

(3+(−15))+7;5(3+(−15))+7;5

317.

10(−18);2810(−18);28

319.

−5(−30);25−5(−30);25

321.

−3·15;45−3·15;45

323.

−60÷(−20);3−60÷(−20);3

325.

−6a+b−6a+b

327.

−10(pq)−10(pq)

329.

96°96°

331.

21

333.

$28$28

335.

$187

337.

$3600$3600

339.

Answers may vary

341.

Answers may vary

Section 1.5 Exercises

343.

616,924,1232616,924,1232 answers may vary

345.

1018,1527,20361018,1527,2036 answers may vary

347.

511511

349.

127127

351.

10211021

353.

x4yx4y

355.

2x23y2x23y

357.

27402740

359.

1414

361.

1616

363.

21502150

365.

11301130

367.

20112011

369.

9n

371.

−34−34

373.

9898

375.

4949

377.

334x334x

379.

4949

381.

10u9v10u9v

383.

−10−10

385.

116116

387.

109109

389.

2525

391.

2m3n2m3n

393.

5252

395.

163163

397.

0

399.

1313

401.

3535

403.

28172817

405.

9797

407.

−8−8

409.

116116

411.

5252

413.

rs+10rs+10

415.

xy−3xy−3

417.

(2)(34);32(2)(34);32 cups answers will vary

419.

20 bags

421.

Answers may vary

423.

Answers may vary

Section 1.6 Exercises

425.

11131113

427.

x+34x+34

429.

5858

431.

717717

433.

16131613

435.

415415

437.

1212

439.

5757

441.

5y785y78

443.

38u38u

445.

1515

447.

2929

449.

1414

451.

n45n45

453.

524524

455.

2929

457.

914914

459.

4949

461.

29242924

463.

148148

465.

724724

467.

3712037120

469.

1710517105

471.

53405340

473.

112112

475.

158158

477.

4x+3124x+312

479.

4y12204y1220

481.

5656 4

483.

25n1625n16 25n163025n1630

485.

5454

487.

124124

489.

13181318

491.

−2815y60−2815y60

493.

33643364

495.

54

497.

49254925

499.

154154

501.

521521

503.

7979

505.

−5−5

507.

19121912

509.

23242324

511.

115115

513.

1

515.

133133

517.

1212 −1−1

519.

1515 −1−1

521.

1515 6565

523.

1919

525.

511511

527.

7878 yard

529.

Answers may vary

Section 1.7 Exercises

531.

29.81

533.

0.7

535.

0.029

537.

−11.0009−11.0009

539.

five and five tenths

541.

eight and seventy-one hundredths

543.

two thousandths

545.

negative seventeen and nine tenths

547.

0.7

549.

2.8

551.

0.85

553.

0.30

555.

4.10

557.

5.78 5.8 6

559.

63.48 63.5 63

561.

24.48

563.

−9.23−9.23

565.

−40.91−40.91

567.

−7.22−7.22

569.

−27.5−27.5

571.

15.73

573.

102.412

575.

51.31

577.

−4.89−4.89

579.

0.144

581.

42.008

583.

−11.653−11.653

585.

337.8914

587.

1.305

589.

92.4

591.

55,200

593.

0.19

595.

$2.44

597.

3

599.

−4.8−4.8

601.

35

603.

2.08

605.

20

607.

125125

609.

13251325

611.

5454

613.

3838

615.

1920019200

617.

0.85

619.

2.75

621.

−12.4−12.4

623.

1.361.36

625.

0.1350.135

627.

3.025

629.

0.01

631.

0.63

633.

1.5

635.

0.214

637.

0.078

639.

1%

641.

135%

643.

300%

645.

8.75%

647.

225.4%

649.

$58,966 $59,000 $60,000

651.

$142.19; $142

653.

$243.57 $79.35

655.

Answers may vary

657.

Answers may vary

Section 1.8 Exercises

659.

6

661.

8

663.

3

665.

10

667.

−2−2

669.

−1−1

671.

5151 319100319100

673.

−121−121 9297100092971000

675.

0.75,0.2230.75,0.223 1.391741.39174

677.

0.45,3.590.45,3.59 1.9192931.919293

679.

rational irrational

681.

irrational rational

683.

real number not a real number

685.

not a real number real number

687.

0,36,90,36,9 −8,36,9−8,36,9 −8,0,125,36,9−8,0,125,36,9 1.952861.95286 −8,0,1.95286,125,36,9−8,0,1.95286,125,36,9

689.

none 100,−7,−1100,−7,−1 100,−7,83,−1,0.77,314100,−7,83,−1,0.77,314 none 100,−7,83,−1,0.77,314100,−7,83,−1,0.77,314

691.
There is a number line shown that runs from 0 to 6. From left to right the points read 3/4, 8/5, and 10/3. The point for 3/4 is between 0 and 1. The point for 8/5 is between 1 and 2. The point for 10/3 is between 3 and 4.
693.
There is a number line shown that runs from 0 to 6. From left to right the points read 3/10, 11/6, 7/2, and 4. The point for 3/10 is between 0 and 1. The point for 11/6 is between 1 and 2. The point for 7/2 is between 3 and 4.
695.
There is a number line shown that runs from negative 1 to 1. From left to right the points read negative 2/5 and 2/5. The point for negative 2/5 is between negative 1 and 0. The point for 2/5 is between 0 and 1.
697.
There is a number line shown that runs from negative 4 to 4. From left to right the points read negative 5/2, negative 1 and 2/3, negative 3/4, ¾, 1 and 2/3, and 5/2. The point for negative 5/2 is between negative 3 and negative 2. The point for negative 1 and 2/3 is between negative 2 and negative 1. The point for negative 3/4 is between negative 1 and 0. The point for 3/4 is between 0 and 1. The point for 1 and 2/3 is between 1 and 2. The point for 5/2 is between 2 and 3.
699.

<

701.

>

703.

>

705.

<

707.
There is a number line shown that runs from negative 4 to 4. The point 0.8 is between 0 and 1.
709.
There is a number line shown that runs from negative 4 to 4. The point negative 1.6 is between negative 2 and negative 1.
711.

<

713.

>

715.

<

717.

<

719.

4 busses answers may vary answers may vary

721.

Answers may vary

Section 1.9 Exercises

723.

12x

725.

y+40y+40

727.

7878

729.

49114911

731.

−63−63

733.

156156

735.

17

737.

14.88

739.

28a

741.

−75m−75m

743.

10p

745.

27m+(−21n)27m+(−21n)

747.

54g+12h54g+12h

749.

2.43p+8.26q2.43p+8.26q

751.

2525 −4.3−4.3 8 103103

753.

7676 0.075 −23−23 1414

755.

1616 4343 107107

757.

12111211 10111011 1414

759.

0

761.

0

763.

0

765.

0

767.

44

769.

d

771.

0

773.

0

775.

undefined

777.

undefined

779.

36d+9036d+90

781.

32y+7232y+72

783.

6c786c78

785.

34q+334q+3

787.

5y35y3

789.

3+8r3+8r

791.

rs18rrs18r

793.

yp+4pyp+4p

795.

−28p7−28p7

797.

−3x+18−3x+18

799.

−3x+7−3x+7

801.

−3y8−3y8

803.

−33c+26−33c+26

805.

a+19a+19

807.

4m104m10

809.

22n+922n+9

811.

72x2572x25

813.

6c+346c+34

815.

12y+6312y+63

817.

$80 $80 answers will vary

819.

$23.88 no, the price is the same

821.

Answers may vary

823.

Answers may vary

Section 1.10 Exercises

825.

72 inches

827.

1.5 feet

829.

53135313 yards

831.

7,920 feet

833.

9,200 pounds

835.

17121712 tons

837.

5,400 s

839.

9696 teaspoons

841.

224224 ounces

843.

114114 gallons

845.

76 in.

847.

65 days

849.

115 ounces

851.

8 lbs. 13 oz.

853.

3.05 hours

855.

10 ft. 2 in.

857.

4 yards

859.

5,000 meters

861.

155 centimeters

863.

3.072 kilometers

865.

1.5 grams

867.

91,600 milligrams

869.

2,000 grams

871.

0.75 liters

873.

91 centimeters

875.

855 grams

877.

2.1 kilograms

879.

1.6 liters

881.

190.5 centimeters

883.

21.9 meters

885.

750 kilograms

887.

3.1 miles

889.

44 pounds

891.

53.2 liters

893.

30°C30°C

895.

40°C40°C

897.

22.2°C22.2°C

899.

17.8°C17.8°C

901.

41°F41°F

903.

14°F14°F

905.

71.6°F71.6°F

907.

109.4°F109.4°F

909.

14.6 kilograms

911.

Answers may vary.

Review Exercises

913.

tens ten thousands hundreds ones thousands

915.

ten millions tens hundred thousands millions ten thousands

917.

six thousand, one hundred four

919.

three million, nine hundred seventy-five thousand, two hundred eighty-four

921.

315315

923.

90,425,01690,425,016

925.

410410 8,5608,560

927.

865,000865,000 865,000865,000 860,000860,000

929.

by2,3,6by2,3,6

931.

by3,5by3,5

933.

by2,5,10by2,5,10

935.

2·2·3·5·72·2·3·5·7

937.

3·3·5·53·3·5·5

939.

2·2·2·3·5·132·2·2·3·5·13

941.

2·2·2·3·32·2·2·3·3

943.

2·2·3·3·72·2·3·3·7

945.

3030

947.

120

949.

25 minus 7, the difference of twenty-five and seven

951.

45 divided by 5, the quotient of forty-five and five

953.

forty-two is greater than or equal to twenty-seven

955.

3 is less than or equal to 20 divided by 4, three is less than or equal to the quotient of twenty and four

957.

expression

959.

243

961.

13

963.

10

965.

41

967.

34

969.

81

971.

58

973.

12

975.

12and3,n2and3n212and3,n2and3n2

977.

11x2,3x,611x2,3x,6

979.

26a26a

981.

12x+812x+8

983.

12p+212p+2

985.

8+128+12

987.

x4x4

989.

6y6y

991.

b+15b+15

993.

> < < >

995.

8 −1−1

997.

19

999.

−3−3 3

1001.

7 25 0

1003.

< =

1005.

4

1007.

80

1009.

28 15

1011.

−135−135

1013.

0

1015.

132

1017.

6

1019.

9 9

1021.

17 17

1023.

29

1025.

−48−48

1027.

−42−42

1029.

18

1031.

−20−20

1033.

−35−35

1035.

3636

1037.

−4−4

1039.

6

1041.

43

1043.

−125−125

1045.

−88−88

1047.

−5−5

1049.

55

1051.

−18−18 −87−87

1053.

−5−5 17

1055.

8

1057.

38

1059.

(−4+(−17))+32;11(−4+(−17))+32;11

1061.

−45−9;5−45−9;5

1063.

84 degrees

1065.

28,312,41628,312,416 answers may vary

1067.

1012,1518,20241012,1518,2024 answers may vary

1069.

1313

1071.

3434

1073.

7878

1075.

xyxy

1077.

215215

1079.

2929

1081.

7p7p

1083.

−42−42

1085.

2

1087.

7575

1089.

254a254a

1091.

2929

1093.

125125

1095.

3434

1097.

310310

1099.

3r5s3r5s

1101.

158158

1103.

−6−6

1105.

4343

1107.

−4−4

1109.

5252

1111.

−2−2

1113.

cd+9cd+9

1115.

5959

1117.

y+23y+23

1119.

1212

1121.

3535

1123.

y917y917

1125.

11d11d

1127.

815815

1129.

310310

1131.

17121712

1133.

13241324

1135.

19801980

1137.

116116

1139.

12751275

1141.

14

1143.

3838 0

1145.

5959

1147.

−6−6

1149.

8.03

1151.

0.001

1153.

seven and eight tenths

1155.

five thousandths

1157.

5.79 5.8 6

1159.

12.48 12.5 12

1161.

27.73

1163.

−5.53

1165.

−13.5

1167.

35.8

1169.

42.51

1171.

0.12

1173.

26.7528

1175.

2.2302

1177.

0.03

1179.

$0.71

1181.

150

1183.

225225

1185.

17401740

1187.

7474

1189.

0.4

1191.

−0.375−0.375

1193.

0.50.5

1195.

7

1197.

0.05

1199.

0.4

1201.

1.15

1203.

18%

1205.

0.9%

1207.

150%

1209.

8

1211.

−5

1213.

9191 847100847100

1215.

0.84,1.30.84,1.3 0.79132,0.79132,

1217.

rational irrational

1219.

not a real number real number

1221.

0,160,16 −4,0,16−4,0,16 −4,0,56,16−4,0,56,16 18,5.253718,5.2537 −4,0,56,16,18,5.2537−4,0,56,16,18,5.2537

1227.

<

1229.

<

1235.

>

1237.

<

1239.

−48m−48m

1241.

a+47a+47

1243.

37

1245.

359359

1247.

17121712

1249.

27x+23y27x+23y

1251.

1313 −5.1−5.1 14 8585

1253.

110110 9494 5353

1255.

0

1257.

undefined

1259.

39

1261.

57

1263.

8

1265.

7x+637x+63

1267.

−18m+3−18m+3

1269.

5n25n2

1271.

−5a13−5a13

1273.

84 inches

1275.

64 inches

1277.

2.7 miles

1279.

105 minutes

1281.

94 ounces

1283.

10 lbs. 6 oz.

1285.

15 feet

1287.

170 centimeters

1289.

0.488 grams

1291.

2,900 grams

1293.

1.12 meter

1295.

0.9 kilograms

1297.

175.3 centimeters

1299.

1.6 miles

1301.

14.6 gallons

1303.

35° C

1305.

–6.7° C

1307.

86° F

1309.

10.4° F

Practice Test

1311.

205,617

1313.

72

1315.

−2−2

1317.

−720;27−720;27

1319.

677.13

1321.

185%

1323.

99

1325.

−44−44

1327.

3

1329.

169169

1331.

m+107m+107

1333.

−10.5−10.5

1335.

2.2365

1337.

−10p−10p

1339.

15x+4y15x+4y

1341.

undefined

1343.

100 minutes

1345.

4.508 km

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