 Elementary Algebra

# Chapter 1

Elementary AlgebraChapter 1

### 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

$2,466,714,051 2,466,714,051$

1.6

$11,921,830,106 11,921,830,106$

1.7

$17,900 17,900$

1.8

$468,800 468,800$

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

$2 · 2 · 2 · 2 · 5 2 · 2 · 2 · 2 · 5$

1.14

$2 · 2 · 3 · 5 2 · 2 · 3 · 5$

1.15

$2 · 3 · 3 · 7 2 · 3 · 3 · 7$

1.16

$2 · 3 · 7 · 7 2 · 3 · 7 · 7$

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

14 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

$4 x 2 , 5 x , 17 4 x 2 , 5 x , 17$

1.46

5x, 2y

1.47

$10 x 2 + 16 x + 17 10 x 2 + 16 x + 17$

1.48

$12 y 2 + 9 y + 7 12 y 2 + 9 y + 7$

1.49

$14x2−1314x2−13$ $12x÷212x÷2$

1.50

$17y2+1917y2+19$ 7y

1.51

$x+11x+11$ $11a−1411a−14$

1.52

$z+13z+13$ $8x−188x−18$

1.53

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

1.54

$2x−82x−8$ $2(x−8)2(x−8)$

1.55

$w − 7 w − 7$

1.56

$l − 6 l − 6$

1.57

$4 q − 8 4 q − 8$

1.58

$7 n + 3 7 n + 3$

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

1.105

21

1.107

$−6−6$ 10

1.108

$−1−1$ 17

1.109

196

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

$14−(−23);3714−(−23);37$ $−17−21;−38−17−21;−38$

1.118

$11−(−19);3011−(−19);30$ $−11−18;−29−11−18;−29$

1.119

$−5 ( 12 ) ; − 60 −5 ( 12 ) ; − 60$

1.120

$−8 ( 13 ) ; − 104 −8 ( 13 ) ; − 104$

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 $− 7 9 − 7 9$ 1.130 $− 5 9 − 5 9$ 1.131 $− 23 40 − 23 40$ 1.132 $− 5 8 − 5 8$ 1.133 $x y x y$ 1.134 $a b a b$ 1.135 $− 4 21 − 4 21$ 1.136 $− 3 16 − 3 16$ 1.137 $−33 a −33 a$ 1.138 $−2 b −2 b$ 1.139 $− 21 5 p − 21 5 p$ 1.140 $− 15 8 q − 15 8 q$ 1.141 $4 15 4 15$ 1.142 $2 3 2 3$ 1.143 $4 5 4 5$ 1.144 $11 14 11 14$ 1.145 $3 4 b 3 4 b$ 1.146 $4 2 q 4 2 q$ 1.147 $− 3 4 − 3 4$ 1.148 $− 2 3 − 2 3$ 1.151 $a − b c d a − b c d$ 1.152 $p + q r p + q r$ 1.153 $x + 3 4 x + 3 4$ 1.154 $y + 5 8 y + 5 8$ 1.155 $− 26 28 − 26 28$ 1.156 $− 7 8 − 7 8$ 1.157 $− 16 x − 16 x$ 1.158 $− 22 a − 22 a$ 1.159 $−1 −1$ 1.160 $− 2 3 − 2 3$ 1.161 $79 60 79 60$ 1.162 $103 60 103 60$ 1.163 $1 96 1 96$ 1.164 $75 224 75 224$ 1.165 $9 y + 42 54 9 y + 42 54$ 1.166 $15 x + 42 135 15 x + 42 135$ 1.167 $27a−323627a−3236$ $2a32a3$ 1.168 $24k−53024k−530$ $2k152k15$ 1.169 $1 90 1 90$ 1.170 $272 272$ 1.172 $2 7 2 7$ 1.173 $−1−1$ $−12−12$ 1.174 $7676$ $−112−112$ 1.175 $− 1 4 − 1 4$ 1.176 $− 17 8 − 17 8$ 1.177 $− 1 2 − 1 2$ 1.178 $2 3 2 3$ 1.179 $− 5 2 − 5 2$ 1.180 $3 2 3 2$ 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 13.68 1.186 5.94 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 1.199 687.3 1.200 34.25 1.201$0.19

1.202

$0.42 1.203 $117 500 117 500$ 1.204 $3 125 3 125$ 1.205 $−0.875 −0.875$ 1.206 $−0.375 −0.375$ 1.207 $2. 45 — 2. 45 —$ 1.208 $2.3 18 — 2.3 18 —$ 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 $0.29,0.816–0.29,0.816–$ $2.515115111…2.515115111…$ 1.222 $2.63–,0.1252.63–,0.125$ $0.418302…0.418302…$ 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 $4,494,49$ $−3,4,49−3,4,49$ $−3,0.3–,95,4,49−3,0.3–,95,4,49$ $−2−2$ $−3,−2,0.3–,95,4,49−3,−2,0.3–,95,4,49$ 1.228 $6,1216,121$ $−25,−1,6,121−25,−1,6,121$ $−25,−38,−1,6,121−25,−38,−1,6,121$ $2.041975…2.041975…$ $−25,−38,−1,6,121,2.041975…−25,−38,−1,6,121,2.041975…$ 1.229 1.230 1.231 > > < < 1.232 < < > < 1.233 1.234 1.235 1.236 1.243 $32 r + 29 s 32 r + 29 s$ 1.244 $41 m + 6 n 41 m + 6 n$ 1.245 $1 7 15 1 7 15$ 1.246 $1 2 9 1 2 9$ 1.247 32x 1.248 $−63 y −63 y$ 1.249 $−79−79$ $−1.2−1.2$ $1414$ $9494$ 1.250 $−713−713$ $−8.4−8.4$ $4646$ $5252$ 1.251 $1414$ $−7−7$ $103103$ 1.252 $118118$ $−54−54$ $5353$ 1.253 0 0 undefined 1.254 0 0 undefined 1.255 $−48 a −48 a$ 1.256 $−92 x −92 x$ 1.257 $5 49 5 49$ 1.258 $11 25 11 25$ 1.259 0 undefined 1.260 0 undefined 1.261 $20 y + 50 20 y + 50$ 1.262 $12 z + 16 12 z + 16$ 1.263 $4 x + 8 4 x + 8$ 1.264 $6 x + 42 6 x + 42$ 1.265 $5 y + 3 5 y + 3$ 1.266 $4 n + 9 4 n + 9$ 1.267 $70 + 15 p 70 + 15 p$ 1.268 $4 + 35 d 4 + 35 d$ 1.269 $−18 m − 15 −18 m − 15$ 1.270 $−48 n − 66 −48 n − 66$ 1.271 $−10 + 15 a −10 + 15 a$ 1.272 $−56 + 105 y −56 + 105 y$ 1.273 $− z + 11 − z + 11$ 1.274 $− x + 4 − x + 4$ 1.275 $3 − 3 x 3 − 3 x$ 1.276 $2 x − 20 2 x − 20$ 1.277 $5 x − 66 5 x − 66$ 1.278 $7 x − 13 7 x − 13$ 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 $9 lbs.8 oz9 lbs.8 oz$ 1.288 21 ft. 6 in. 1.289 4 lbs. 8 oz. 1.290 11 gallons 2 qt. 1.291 5,000 meters 1.292 250 centimeters 1.293 2.8 kilograms 1.294 4.5 kilograms 1.295 7,250 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 8,993.46 km 1.305 $15 ° C 15 ° C$ 1.306 $5°C5°C$ 1.307 $59°F59°F$ 1.308 $50 ° F 50 ° F$ ### 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 63,900 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. $2 · 43 2 · 43$ 51. $2 · 2 · 3 · 11 2 · 2 · 3 · 11$ 53. $3 · 3 · 7 · 11 3 · 3 · 7 · 11$ 55. $2 · 2 · 2 · 2 · 3 · 3 · 3 2 · 2 · 2 · 2 · 3 · 3 · 3$ 57. $2 · 2 · 2 · 2 · 3 · 3 · 3 · 5 2 · 2 · 2 · 2 · 3 · 3 · 3 · 5$ 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 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. $x 3 and 8 x 3 , 14 and 5 x 3 and 8 x 3 , 14 and 5$ 147. $16 and 4 , 16 b 2 and 9 b 2 16 and 4 , 16 b 2 and 9 b 2$ 149. $15 x 2 , 6 x , 2 15 x 2 , 6 x , 2$ 151. $10 y 3 , y , 2 10 y 3 , y , 2$ 153. 13x 155. 7c 157. $10 u + 3 10 u + 3$ 159. $22 a + 1 22 a + 1$ 161. $17 x 2 + 20 x + 16 17 x 2 + 20 x + 16$ 163. $14 − 9 14 − 9$ 165. $9 · 7 9 · 7$ 167. $36 ÷ 9 36 ÷ 9$ 169. $8 x + 3 x 8 x + 3 x$ 171. $y 3 y 3$ 173. $8 ( y − 9 ) 8 ( y − 9 )$ 175. $c + 3 c + 3$ 177. $2 n − 7 2 n − 7$ 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. $5 , −5 5 , −5$ 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. 9 239. $−2 −2$ 241. $−2 −2$ 243. 22 245. 0 247. 4 249. 6 251. $−8 −8$ 253. $−11 −11$ 255. 20,329 $−282−282$ 257.$540 million $−27−27$ billion

259.

$−32 −32$

261.

263.

### 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 33

309.

$−5−5$ 25

311.

21

313.

$−56 −56$

315.

$( 3 + ( −15 ) ) + 7 ; − 5 ( 3 + ( −15 ) ) + 7 ; − 5$

317.

$10 − ( −18 ) ; 28 10 − ( −18 ) ; 28$

319.

$−5 − ( −30 ) ; 25 −5 − ( −30 ) ; 25$

321.

$−3 · 15 ; − 45 −3 · 15 ; − 45$

323.

$−60 ÷ ( −20 ) ; 3 −60 ÷ ( −20 ) ; 3$

325.

$−6 a + b −6 a + b$

327.

$−10 ( p − q ) −10 ( p − q )$

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. $− 5 11 − 5 11$ 349. $− 12 7 − 12 7$ 351. $10 21 10 21$ 353. $− x 4 y − x 4 y$ 355. $2 x 2 3 y 2 x 2 3 y$ 357. $27 40 27 40$ 359. $1 4 1 4$ 361. $− 1 6 − 1 6$ 363. $− 21 50 − 21 50$ 365. $11 30 11 30$ 367. $20 11 20 11$ 369. 9n 371. $−34 −34$ 373. $9 8 9 8$ 375. $1 1$ 377. $33 4 x 33 4 x$ 379. $− 4 9 − 4 9$ 381. $10 u 9 v 10 u 9 v$ 383. $−10 −10$ 385. $− 1 16 − 1 16$ 387. $− 10 9 − 10 9$ 389. $− 2 5 − 2 5$ 391. $2 m 3 n 2 m 3 n$ 393. $5 2 5 2$ 395. $16 3 16 3$ 397. 0 399. $1 3 1 3$ 401. $3 5 3 5$ 403. $2 8 17 2 8 17$ 405. $3 5 3 5$ 407. $−8> −8>$ 409. $11 6 11 6$ 411. $5 2 5 2$ 413. $r s + 10 r s + 10$ 415. $x − y −3 x − y −3$ 417. $112112$ cups answers will vary 419. 20 bags 421. Answers may vary 423. Answers may vary ### Section 1.6 Exercises 425. $11 13 11 13$ 427. $x + 3 4 x + 3 4$ 429. $− 5 8 − 5 8$ 431. $7 17 7 17$ 433. $− 16 13 − 16 13$ 435. $4 15 4 15$ 437. $1 2 1 2$ 439. $5 7 5 7$ 441. $5 y − 7 8 5 y − 7 8$ 443. $− 38 u − 38 u$ 445. $1 5 1 5$ 447. $− 2 9 − 2 9$ 449. $− 1 4 − 1 4$ 451. $n − 4 5 n − 4 5$ 453. $− 5 24 − 5 24$ 455. $2 9 2 9$ 457. $9 14 9 14$ 459. $4 9 4 9$ 461. $29 24 29 24$ 463. $1 48 1 48$ 465. $7 24 7 24$ 467. $37 120 37 120$ 469. $17 105 17 105$ 471. $− 53 40 − 53 40$ 473. $1 12 1 12$ 475. $15 8 15 8$ 477. $4 x + 3 12 4 x + 3 12$ 479. $4 y − 12 20 4 y − 12 20$ 481. $5656$ 4 483. $25n1625n16$ $25n−163025n−1630$ 485. $5 4 5 4$ 487. $1 24 1 24$ 489. $13 18 13 18$ 491. $−28 − 15 y 60 −28 − 15 y 60$ 493. $33 64 33 64$ 495. 54 497. $49 25 49 25$ 499. $15 4 15 4$ 501. $5 21 5 21$ 503. $7 9 7 9$ 505. $−5 −5$ 507. $19 12 19 12$ 509. $23 24 23 24$ 511. $11 5 11 5$ 513. 1 515. $13 3 13 3$ 517. $−12−12$ $−1−1$ 519. $1515$ $−1−1$ 521. $1515$ $6565$ 523. $− 1 9 − 1 9$ 525. $− 5 11 − 5 11$ 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. 102.212 575. 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.

$1 25 1 25$

609.

$13 25 13 25$

611.

$5 4 5 4$

613.

$3 8 3 8$

615.

$19 200 19 200$

617.

0.85

619.

2.75

621.

$−12.4 −12.4$

623.

$1. 36 — 1. 36 —$

625.

$0. 135 — 0. 135 —$

627.

3.025

629.

0.011

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.

821.

823.

### 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.

26 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.

742.5 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.

$−17.8°C−17.8°C$

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.

### 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.

$by 2 , 3 , 6 by 2 , 3 , 6$

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.

$x−4x−4$

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.

$−78−78$

1075.

$xyxy$

1077.

$215215$

1079.

$−29−29$

1081.

$7p7p$

1083.

$−42−42$

1085.

2

1087.

$−75−75$

1089.

$254a254a$

1091.

$2929$

1093.

$−125−125$

1095.

$3434$

1097.

$−310−310$

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.

$−12−12$

1121.

$3535$

1123.

$y−917y−917$

1125.

$−11d−11d$

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.

$7 4 7 4$

1189.

0.4

1191.

$−0.375−0.375$

1193.

$0.5–0.5–$

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.

$0.84,1.3–0.84,1.3–$ $0.79132…,0.79132…,$

1217.

rational irrational

1219.

not a real number real number

1221.

$0,160,16$ $−4,0,16−4,0,16$ $−4,0,56,16−4,0,56,16$ $18,5.2537…18,5.2537…$ $−4,0,56,16,18,5.2537…−4,0,56,16,18,5.2537…$

1223. 1225. 1227.

<

1229.

>

1231. 1233. 1235.

>

1237.

>

1239.

$−48m−48m$

1241.

$a+47a+47$

1243.

37

1245.

$359359$

1247.

$17121712$

1249.

$27x+23y27x+23y$

1251.

$−13−13$ $−5.1−5.1$ 14 $8585$

1253.

$110110$ $−94−94$ $5353$

1255.

0

1257.

undefined

1259.

39

1261.

57

1263.

8

1265.

$7x+637x+63$

1267.

$−18m+3−18m+3$

1269.

$5n−25n−2$

1271.

$−5a−13−5a−13$

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.

$−7−20;−27−7−20;−27$

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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