Prealgebra - 2e, 2020a

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7y, 14. 22, 11m. 12x 2 18x 3 . The GCF of 12x 2 and 18x 3 is 6x 2 16x 2 , 24x 3 . 27y 3 , 18y 4 . 14x 3 , 8x 2 , 10x. The GCF of 14x 3 and 8x 2 , and10x is 2x 21x 3 , 9x 2 , 15x.
25m 4 , 35m 3 , 20m 2 . 12 2·6or3·4), 2 ⎛ ⎝ x + 7 ⎞ ⎠ factors 2·x + 2·7 2x + 14 product 2x + 14, 2(x +7). a, b, c a(b + c) = ab + ac and ab + ac = a(b + c) 2x + 14. 2x =2⋅x 14=2⋅7 2(x +7) 4x + 12. 6a + 24. Noun 7 is a factor of 14 Verb factor 2 from 2x +14
Page 6:
Study where you want, what you want
Page 16 and 17:
1 1, 2, 3, 4, 5… 0
Page 18 and 19:
138. 1 1 100 100 3 3 10 30 8
Page 20 and 21:
2 200,000. 7 70,000. 8 8,000
Page 22 and 23:
316,128,839. 31,536,000
Page 24 and 25:
76 76 70 80 76 80 70. 76
Page 26 and 27:
a b 17,852.
Page 28 and 29:
a b 0, 2 3 , 5, 8.1, 125 0, 7 ,
Page 30:
a 386 b 2,931 a 792 b 5,647
Page 33 and 34:
a 8 +4 b 18 + 11 a 21 + 16
Page 35 and 36:
40 + 3 = 43 17 + 26 = 43 15 + 2
Page 37 and 38:
7+8 15 b
Page 39 and 40:
4+6=10 0 1 1+2+8=11 1 1 1+3
Page 41 and 42:
53,762 + 196 + 7,458.
Page 43 and 44:
4+6+2+3+2+9 26 26 26
Page 45 and 46:
a 0+13 b 13 + 0 a 0 + 5,280 b 5,28
Page 47 and 48:
400 82, 91, 75, 88, and
Page 49 and 50:
ase-10 7−3.
Page 51 and 52:
42 − 27. 45 − 29. 7−3=
Page 53 and 54:
13 − 6 = 7. 3−2=1. 93
Page 55 and 56:
10 − 6 = 4. 10 − 8 = 2 8
Page 57 and 58:
5 1 5−1 9 4 9−4 7 3 7−3
Page 59 and 60:
$149. $285.
Page 61 and 62:
47 62 76−47 91 − 53 256
Page 63 and 64:
1,683 + 479. 605 − 321.
Page 65 and 66:
5 × 7.
Page 67 and 68:
a 8·7 b 7·8 a 8·7 56 b 7·8 5
Page 69 and 70:
462 · 7.
Page 71 and 72:
a 47 · 10 b 47 · 100 47 ×10 ___
Page 73 and 74:
12 ⋅ 27 324 13 28. 47 1
Page 75:
2 3 1 1 1 6
Page 78 and 79:
0·15 0·41 (99)0 (77)0 1·43
Page 80 and 81:
$12 $200
Page 82 and 83:
412 12 ÷ 4, 12/4, 12 .
Page 84 and 85:
72 9 8 8·9 72 ✓ c 9 9·7 63
Page 86 and 87:
0 ÷ a =0 a ÷ 0
Page 88 and 89:
2,596 ÷ 4. 25 − 24
Page 90 and 91:
4,928 ÷ 7. 5,663 ÷ 7.
Page 92 and 93:
3,812 ÷ 8. 4,319 ÷ 8. 1,461
Page 94 and 95:
12 4 12 4 4 12 12 ÷ 4 12 4 12/
Page 96 and 97:
54 ÷ 9 56 32 7 8 642 48 ÷ 6
Page 98 and 99:
64 2 42
Page 101 and 102:
+ 3+4 3 4 a 0 a +0=a 0+a
Page 103 and 104:
ase-10 472,981 12,403,295
Page 105 and 106:
5,724 − 2,918 18 − 4 41 −
Page 107 and 108:
648 8÷2 312 14 ÷ 2 32 52
Page 109 and 110:
Add: 43 + 69. Multiply: (896)20
Page 111 and 112:
9 2 9 2, 9−2. 4 8 4 8,
Page 113 and 114:
a a 20 ≤ 35 b 11 ≠ 15 − 3
Page 115 and 116:
e symbol, =, . a b
Page 117 and 118:
2·2·2 2 3 2·2·2·2·2·2·2·
Page 119 and 120:
3 4 3⋅3⋅3⋅3 9⋅3⋅3 27
Page 121 and 122:
a 12 − 5 · 2 b (12 − 5) · 2
Page 123 and 124:
9 + 5 3 − ⎡ ⎣ ⎡ 4(9 + 3)
Page 125 and 126:
16 − 9 25 − 7 5·6 3·9 28
Page 127 and 128:
(=,). 83″ 80″ 79″
Page 129 and 130:
n ÷ 5 4 5 . 1+8 ⋅ 9.
Page 131 and 132:
8x − 3, when a x = 2 b x = 1 4
Page 133 and 134:
6x 2 − 4x − 7 when x = 2.
Page 135 and 136:
4x 3 + 8x 2 + 19 + 3x 2 + 24 + 6x 3
Page 137 and 138:
a b a b a b b a a b b a a
Page 139 and 140:
m n 5m + n a b a p q b p q
Page 141 and 142:
7x + 8 when x =2 9x + 7 when x =3
Page 143 and 144:
x y “4 x y” 4 x
Page 145 and 146:
Determine whether x = 5 is a soluti
Page 147 and 148:
x 4 x +4 x +4 5 5 x +4=5 4
Page 149 and 150:
x + 6 = 19 x + 9 = 14 100 = y
Page 151 and 152:
27 = a −16 a = 43. 19 = a −
Page 153 and 154:
x 47. x =44 x =44 x
Page 155 and 156:
y +18=25 x +13=21 a x =8 b x =34 a
Page 157 and 158:
x =1 8x −2=16−6x? y
Page 159 and 160:
1 2 3 4 5 6 7 8 9 10 11 12 Multiple
Page 161 and 162:
a b 5. a 675 b 1,578
Page 163 and 164:
6+4+5=15 645 ÷ 3 3 ⋅ 215 = 6
Page 165 and 166:
2 0, 2, 4, 6, or 8? 5625 ÷ 2 =
Page 167 and 168:
9 8.
Page 169 and 170:
137
Page 171 and 172:
$100 $15
Page 173 and 174:
3 12 3 4. 12.
Page 175 and 176:
2⋅2⋅3⋅7 2 2 ⋅3⋅7 84.
Page 177 and 178:
2⋅2⋅2⋅2⋅3 2 4 ⋅3 126
Page 179 and 180:
15 and 20 15 and 35 50 100
Page 181 and 182:
12 8.
Page 183 and 184:
a = b a ≠ b a < b a > b a ≤ b a
Page 185 and 186:
3⋅8 12 − x 24 ÷ 6 9+2a 50
Page 187 and 188:
x 6 10 a 3n 9 s 4 5
Page 189 and 190:
219 84 165 350 572 9, 15
Page 191 and 192:
0, 1, and 3 (=, ): 2___4
Page 193 and 194:
(1, 2, 3, …) +,
Page 195 and 196:
: a 14___6 b −1___9 c −1___−4
Page 197 and 198:
“−”, 10 − 4 −8 −x −
Page 199 and 200:
a |3| b |−44| c |0| a 3 |3| b
Page 201 and 202:
a |−5|___ − |−5| 5___−5 5
Page 203 and 204:
24 − |19 − 3(6−2)| 24 − |1
Page 205 and 206:
a 2 b −2 a 5 b −5 a −8 b 8 c
Page 207:
a 15 b −9 c d 12 5 6 deg
Page 210 and 211:
5, −5 and 3 , −3. 5+3 −5+(−
Page 212 and 213:
5+(−3) 5 −3 5+(−3) =2
Page 214 and 215:
a b c d a b c d
Page 216 and 217:
x + 7 when a x =−2 b x = −11.
Page 218 and 219:
(x + y) 2 (−18 + 24) 2 (6) 2 36
Page 220 and 221:
42-yard line. 6 yards, 4 ya
Page 222 and 223:
−14 5 −22 9 8 −2 5
Page 224 and 225:
12 − (8−1). 20 −15
Page 226 and 227:
3 5 2 3 5 2
Page 228 and 229:
−5−4 −5 4 −9 −5
Page 230 and 231:
−3 − (−8) =5 a 7 −
Page 232 and 233:
a 15 − 7 and 15 + (−7) b −14
Page 234 and 235:
8 − (−3 − 1) − 9 12 −
Page 236 and 237:
a b a 13 −21 b 24 −19
Page 238 and 239:
14,497 − (−282) 14,779 14,7
Page 241 and 242:
8−2 9−3 −5 − (−1) −6
Page 243 and 244:
$148 $83. $4
Page 245 and 246:
15 5, 3 −15. (
Page 247 and 248:
−1 −1 −1a =−a a −1 ·
Page 249 and 250:
a 16 ÷ (−1) b −20 ÷ (−1) a
Page 251 and 252:
12 − 3(9 − 12) 12 − 3(−3)
Page 253 and 254:
x =−1 y = 2 7x + 6y − 12
Page 255 and 256:
−4 · 8 −3 · 9 −5(7) −8
Page 257 and 258:
a b
Page 259 and 260:
a x =4 4 b x =−4 −4
Page 261 and 262:
−2 −2 a a −6=−8 −2.
Page 263 and 264:
4 envelopes, 4 8 counters
Page 265 and 266:
y = −21 −8p =96 −12m =
Page 268 and 269:
4y − 10 = −14 4x −2=6 a x =
Page 270 and 271:
24 children. 4 g, 4g = 24
Page 272 and 273:
5-3 -5 - (-3) 2 -2 -5-3 5-(-3) -
Page 274 and 275:
6 −2 −4 3 a −(8) b −(
Page 276 and 277:
24 − 16 19 − (−9) −31 −
Page 278 and 279:
The product of −6 and y is −42
Page 281 and 282:
5 · 2 + 1.
Page 283 and 284:
1 3 2 3
Page 285 and 286:
2 5
Page 287 and 288:
5 5
Page 289 and 290:
5 6 11 6 =1 5 6 . 6 6 =1 ⎛ ⎝ 1
Page 291 and 292:
33 8 33 8 833 remainder diviso
Page 293 and 294:
10 2 7 72 7 4 6 11 .
Page 295 and 296:
1 2 . 1 8 1 2
Page 297 and 298:
0 1 1 5 , 2 5 ,
Page 299 and 300:
0 1 , 0 1 4 1 4
Page 301 and 302:
1 2 1 3 3 4 2 5 5 6 7 8 5 8
Page 303 and 304:
1 4 1 3 3 8 5 6 2 7 5 9 2 3
Page 305 and 306:
48. 3 4 . 5 6 .
Page 307 and 308:
− 21 28 . − 16 24 .
Page 309 and 310:
9a 9b . 1 2 · 34
Page 311 and 312:
− 5 ⎛ 8⎝ −2 ⎞ 3⎠ 5
Page 313 and 314:
12 5 (−20x) 12⎛−20x⎞ 5
Page 315 and 316:
d 7 7 7 1 7 1 1 7 7⋅ ⎛
Page 317 and 318:
1 . 2 1 6
Page 319 and 320:
2 3 ÷ n 5 2 3 · 5n 10 3n 3 5
Page 321 and 322:
7 8 15 21 24 20 12 18 − 108 6
Page 323 and 324:
2 5 ÷ y 9 5 8 ÷ a 10 5 6 ÷ c 1
Page 325 and 326:
(4 + 5) ÷ (10 − 7). 1 8 ·
Page 327 and 328:
3 4 7 ÷5. 3 4 7 ÷5 25 7 ÷ 5 1
Page 329 and 330:
3 4 ÷ 5 8 . 3 4 5 8 3 4 . 5 8
Page 331 and 332:
a 8 . ab 6 p 2 pq . 8 2 3 4 .
Page 333 and 334:
4+8 5−3 . 4+8 5−3 12 5−3
Page 335 and 336:
4 3 8 · 710 2 4 9 · 67 15 22 ·
Page 337 and 338:
2 1 4 a b
Page 339 and 340:
1 4 1 4 3 4 1 4 + 2 4 = 3 4
Page 341 and 342:
3 5 + 1 5 3+1 5 4 5 3 6 + 2 6
Page 343 and 344:
− 12 3 + ⎛ ⎝ − 12 5 ⎞ ⎠
Page 345 and 346:
27 32 − 11 32 . y 6 − 1 6 .
Page 347 and 348:
2 5 + 1 5 3 10 + 4 10 1 6 + 3 6
Page 349 and 350:
a b
Page 351 and 352:
1 5 1 2 1 3 1 6 3 1 2 2 1 3
Page 353 and 354:
15 24 120. 8 15 11 24 120.
Page 355 and 356:
13 24 17, 96 32 9 28 27, 224
Page 357 and 358:
1 2 − ⎛ ⎝ ⎛ − 1 8 ⎞ ⎠
Page 359 and 360:
− 11 30 + 23 42 − 210 77 + 1
Page 361 and 362:
a − 1 4 + 1 6 − 3 12 + 2 1
Page 363 and 364:
⎛ ⎝ 1 2 ⎞ 2⎠ 4+3 2. ⎛
Page 365 and 366:
x + 1 3 x =−3 4 , −3 x 4 x
Page 367 and 368:
a + b c a = −8, b = −7, and c
Page 369 and 370:
− 2 3 − ⎛ ⎝ −3 ⎞ 4⎠
Page 371 and 372:
3 3 16 8
Page 373 and 374:
1 1 4 +21 4 1 1 4 1 4 2 1 4
Page 375 and 376:
3 4 9 +22 9 . 3 4 9 +22 9 4
Page 377 and 378:
5 5 9 + 37 9 . 3 7 10 + 2 9 10 .
Page 379 and 380:
2 − 1 5 . 2 − 1 3 . 2−1
Page 381 and 382:
5 3 5 −24 5 . 3 5 4 5 3 5 :
Page 383 and 384:
1 5 6 + 43 4 . 3 4 5 + 81 2 .
Page 385 and 386:
1 1 5 +31 5 2 1 3 +11 3 1 3 8 +17
Page 387 and 388:
4 5 12 +37 8 3 7 8 −45 12
Page 389 and 390:
a x =1 1 b x = 4 5 4 5 x
Page 391 and 392:
y =− 1 4 y + 9 16 = 5 16 y +
Page 393 and 394:
7 f 5 = −25. h 9 = −
Page 395 and 396:
3 4 x = 24. x =32 32
Page 397 and 398:
6 −144 6 −24 n 7
Page 399 and 400:
m 5 6 3 4 m 5 6 = 3 4 5 6 m
Page 401 and 402:
x − 2 5 = 10 1 : y − 1 3 = 12
Page 403 and 404:
−y = 15. 3x =24 16
Page 405 and 406:
a, b, c b ≠0 c ≠0 a b = a ⋅
Page 407 and 408:
a = b a + c = b + c a = b a -
Page 409 and 410:
− 1 4 − 5 13 3 10 9 4 −
Page 411 and 412:
3 5 8 +37 8 2 11 12 −17 12 9 13
Page 413:
m −2 = −16 − 2 3 c =18
Page 416 and 417:
3 10
Page 418 and 419:
a 4.3 b 2.45 c 0.009 d −15.571. a
Page 421 and 422:
$1 $1.00. $1 (or $1.00)
Page 423 and 424:
c a 5.3 b 6.0
Page 425 and 426:
0.31 0.308 31 100 310 1000 308 10
Page 427 and 428:
−0.1 __−0.8 −0.1 −0.8
Page 429:
a b 6.582 a b
Page 432 and 433:
−0.9 3.1 2.7 −2.5 −1.6
Page 434 and 435:
100 70 . 3 10 · 910 .
Page 436 and 437:
20 − 14.65 10 − 9.58.
Page 438 and 439:
(3.9)(4.075) (1 + 3). (3.9
Page 440 and 441:
(0.04)(0.087). (0.09)(0.067). 1
Page 442 and 443:
0.12 ÷ 3. 0.12 ÷ 3 0.12 ÷ 3
Page 444 and 445:
−2.89 ÷ (3.4). −2.89
Page 446 and 447:
7 ÷ 0.02.
Page 448 and 449:
6($0.22) + 4($0.49) $1.32 + $1.96
Page 450 and 451:
0.8 ÷ 0.4 1.44 ÷ ( − 0.3) 1.2
Page 452 and 453:
1 30.62 1 30.65
Page 454 and 455:
1 4 . 3 8 . − 7 2 − 7
Page 456 and 457:
7 8 + 6.4 7 8 0.875 + 6.4 7.275
Page 458 and 459:
a a 7(18.3 − 21.7) b 2 (8.3 − 3
Page 460 and 461:
π π
Page 462 and 463:
= 42.5 A =πr 2 π r A ≈ (3.
Page 464 and 465:
2 5 4 5 − 3 8 − 5 8 17 20
Page 466 and 467:
a b
Page 468 and 469:
a x =1 1 b x = −0.8 −0.
Page 470 and 471:
−4.8 = 0.8n. n. n =−6
Page 472 and 473:
−4.3 x 12.04. −3.1 m 26.
Page 474 and 475:
y + 0.6 = −3.4 x − 0.8 = 2.3
Page 476 and 477:
4 + 9 3 + 2 . 4(8) + 6(3).
Page 478 and 479:
mean = sum of all the numbers n me
Page 480 and 481:
n. n n n 12, 13, 19, 9, 1
Page 482 and 483:
18, 18, 18, 18, 19, 19, 19, 20, 20,
Page 484 and 485:
a Probability of an event = n
Page 486 and 487:
3 8 2 2 5 6 1 9 3 4 7 65
Page 488 and 489:
a b
Page 490 and 491:
a 15 to 27 15 27 5 9 b 45 to 18
Page 492 and 493:
1 1 4 to 23 8 1 1 4 to 23 8
Page 494 and 495:
1 54 120 2
Page 496 and 497:
423 18 406 14.5
Page 498 and 499:
c y dollars for 18 hours $ y 18 ho
Page 500 and 501:
435 15 43 16 57 24 46
Page 502 and 503:
(−9) 2 . 3.846 12d d
Page 504 and 505:
a 25 b 121. a 5 2 =25 5 25 b 11
Page 506 and 507:
169 13 25 + 144 a 9 + 16 b 9 +
Page 508 and 509:
x 2 . x 2 (?) 2 = x 2 x 2 (x) 2
Page 510 and 511:
200 A A A
Page 512 and 513:
76 122
Page 514 and 515:
350 216
Page 517 and 518:
d 2πr C =2πr πr 2 A = πr 2
Page 519 and 520:
. 0.6___0.8 0.2___0.15 0.803____
Page 521 and 522:
p − 4.3 = −1.65 x − 0.24 =
Page 523 and 524:
535 h hours a 45 4y x 1
Page 525 and 526:
33 5” 3 5
Page 527 and 528:
2007, 21 100 4-year
Page 529 and 530:
33 1 3 % 33 1 3 100 100 3 100 10
Page 531 and 532:
a 115% b 23.5% a 123% b 16.8%
Page 533 and 534:
1 4 0.25 a b 30%. a b
Page 535 and 536:
0.05 5% 0.83 83% 1.05 105% 0.075 7.
Page 537 and 538:
4 3 1.3¯ .
Page 539 and 540:
a b 2010, 1.5% 2000, 4.2%
Page 541 and 542:
C’s A’s B’s 25%,
Page 543 and 544:
20% $80 $16.
Page 545 and 546:
36 9? p = 76 57? 120
Page 547 and 548:
2% a =
Page 549 and 550:
p = 2011, 55.5
Page 551 and 552:
45% 120? 65% 100? 24% 11
Page 553 and 554:
a b
Page 555 and 556:
Sales Tax = Tax Rate · Purchase Pr
Page 557 and 558:
= $26,525.
Page 559 and 560:
= $1,140 $28,500.
Page 561 and 562:
d = b s =
Page 563 and 564:
a b $375.20. $56
Page 565 and 566:
a b $84. 5%
Page 567 and 568:
$20 25% $195. a
Page 569 and 570:
I = Prt I = ⎛ ⎝500) ⎛ ⎝0.06
Page 571 and 572:
5 I. I = ? P = $12,500 r = 4% t
Page 573 and 574:
I = Prt 6,596.25 = P(0.075)(5) 6,5
Page 575 and 576:
$1200 3% 5 $1500 2% 4
Page 577 and 578:
a b $8,000 5
Page 579 and 580:
a 3 7 = 15 35 b hits at-bats
Page 581 and 582:
x = 4 63 7 . x n 84 =
Page 583 and 584:
84 98 = −6 x . −7 y = 105 13
Page 585 and 586:
c = 16
Page 587 and 588:
The amount out of the base is the s
Page 589 and 590:
125% 25 n = 125%
Page 591 and 592:
n = 1 8 1 8 72 27?
Page 593 and 594:
5 25 45
Page 595 and 596:
45% 350”
Page 597 and 598:
decrease = original amount − new
Page 599 and 600:
$83.50. 20% 2
Page 601 and 602:
5 13 = 30 78 16 7 = 48 23 12 18 =
Page 603 and 604:
3.19 5 11
Page 605 and 606:
a −15 b 6.81 c −3 6 7 . a −1
Page 607 and 608:
a 36 b 44 a 36 6 2 = 36. 36 =6.
Page 609 and 610:
a 5 b 3.19 a 8 b −1.61 a −12
Page 611 and 612:
7y + 2 + y + 13. 2 3 · 18.
Page 613 and 614:
5·13 ·3
Page 615 and 616:
a 7 8 x b 7 8 a b
Page 617 and 618:
7 15 · 823 · 15 7 .
Page 619 and 620:
6(9x). 6(9x) (6·9)x 54x 8(3y
Page 621 and 622:
2 + 5 5 12 + ⎛ ⎝ −2 ⎞ 5⎠
Page 623 and 624:
3(0.25). 10 − (−2)(3).
Page 625 and 626:
a, b, c a(b + c) =ab + ac a(b −
Page 627 and 628:
y(z − 8). (b + c)a = ba + ca.
Page 629 and 630:
6(x − 9) − (x + 12). 8(x −
Page 631 and 632:
−y −5 −40 y = 35, −(y +5
Page 633 and 634:
v =−2, u =−1, a 6(4v +7) b
Page 635 and 636:
−4. 5 2 . 3a 5 · 92a .
Page 637 and 638:
2 · ___ = 1 1 a a(a ≠0).
Page 639 and 640:
0? 0 0 0÷3=0
Page 641 and 642:
3x +15−3x. 3x +15−3x 3x −3
Page 643 and 644:
a + b = b + a a · b = b · a
Page 645 and 646:
28 − 9b 0 28 − 9b ≠0 2.1 +
Page 647 and 648:
1 12 1 3 1 5280 1 16 1 20
Page 649 and 650:
3.2 tons 3.2 tons · 1 3.2 tons
Page 651 and 652:
3 12 3 3 2 9
Page 653 and 654:
5-km 2.5 3200 3.2
Page 655 and 656:
1.6 85 85
Page 657 and 658:
100 kilometers · 1 mile 1.61 kilom
Page 659 and 660:
15°C. 10°C.
Page 661 and 662:
6 5, 2, 8, 12, 6, and 3.
Page 663 and 664:
a b
Page 665 and 666:
a, b, c a(b + c) = ab + ac (b +
Page 667 and 668:
u =2, n = 7 8 , a 3(8u +9) and
Page 669 and 670:
95°F 23°F 20°F 64°F 30°C
Page 671 and 672:
n − 12 = 16. x.’ x =
Page 673 and 674:
a, b, c, a = b, a − c = b −
Page 675 and 676:
p − 1 3 = 5 6 . q − 1 2 = 1
Page 677 and 678:
n =9 5(p − 3) − 4p = −10
Page 679 and 680:
5p 4p 23. 4x 3x 14.
Page 681 and 682:
$24,575 $875 s = s 2
Page 683 and 684:
x 21. x −5 33. m −14.
Page 685 and 686:
−7 ⎛ 1 ⎞ ⎝ −7⎠ .
Page 687 and 688:
−r =2. −r −1r. −r −1
Page 689 and 690:
7x + 6x − 4x = −8 + 26. 11n
Page 691 and 692:
8x =32 7p =63 −5c =55 −9x =
Page 693 and 694:
4y − 9 + 9. y + 12 = 16.
Page 695 and 696:
5y − 9 = 16. 3m − 8 = 19.
Page 697 and 698:
8h = −4h + 12.
Page 699 and 700:
2a a a =−5
Page 701 and 702:
2.8x + 12 = −1.4x − 9. 3.6y
Page 703 and 704:
x x =0 2(a − 4) + 3 =
Page 705 and 706:
3x 8>3 −4 = x 6(p −
Page 707 and 708:
12x x x = 0.4 0.55(100n
Page 709 and 710:
5(x +3)=75 4(y +7)=64 8=4(x −3)
Page 711 and 712:
8 · 38 . 5 6 and 1 4 . 4
Page 713 and 714:
7= 1 2 x + 3 4 x − 2 3 x.
Page 715 and 716:
x =0. −11 = 1 (6p + 2). 2 8
Page 717 and 718:
x = 15. 0.6x − 1 = 11. 1.2x
Page 719 and 720:
x =9. 0.25n + 0.05(n + 5) = 2.95
Page 721 and 722:
$2.00 2 0.10d + 0
Page 723 and 724:
x + 16 = 31, x =15 w −8=5, w =3
Page 725 and 726:
6(x +6)=24 9(2p −5)=72 −(s +4
Page 727 and 728:
“6 x” 2 3 x = 24.
Page 729 and 730:
$18,
Page 731 and 732:
11 b = number of ban
Page 733 and 734:
n = the number 1
Page 735 and 736:
n =−5 7
Page 737 and 738:
...1, 2, 3, 4,... ...−10, −9,
Page 739 and 740:
25 20 2
Page 742 and 743:
14(0.25). 100(0.2 + 0.05n).
Page 744 and 745:
Number Value ($) Total Value ($) 0
Page 746 and 747:
$2.43
Page 748 and 749:
$9.35 $2.14
Page 750 and 751:
Number Value ($) Total Value ($) s
Page 752 and 753:
$2.60 $1.75 14
Page 755 and 756:
x + 3 + 6 = 11. a 45 = 4 3 .
Page 757 and 758:
40°. a b a
Page 759 and 760:
40°
Page 761 and 762:
56°. 45°.
Page 763 and 764:
ΔABC ΔXYZ ΔABC ΔXY
Page 765 and 766:
ΔABC ΔXYZY . y.
Page 767 and 768:
= the leg of the triangle
Page 769 and 770:
13-ft 5 17-
Page 771 and 772:
ΔABC ΔXYZ. b x
Page 773 and 774:
30 35 2.5
Page 775 and 776:
1 2 3 1 1 1
Page 777 and 778:
Perimeter = 4 inches Area = 1 squar
Page 779 and 780:
32 20 a b a
Page 781 and 782:
80 25 30 6
Page 783 and 784:
32
Page 785 and 786:
W = width W + 15 = length
Page 787 and 788:
11 8
Page 789 and 790:
126 18 15 5
Page 791 and 792:
39 51 156 60
Page 793 and 794:
Area trapezoid = 1 h(b + B) 2
Page 795 and 796:
7 4.6 7.4 9 6.2 7.8
Page 798 and 799:
a b 1 a b 85 4
Page 800 and 801:
20 76
Page 802 and 803:
a b
Page 804 and 805:
d d =2r C =2πr A = πr 2
Page 806 and 807:
π. C = πd C = π(4) C ≈ (3
Page 808 and 809:
12 4. 2,
Page 810 and 811:
105 68 68 34
Page 813 and 814:
250 12
Page 815 and 816:
x 3 x = 5. 2 x x = 5. 7
Page 817 and 818:
A front = L×W A side = L×W A top
Page 819 and 820:
a b a V V = LWH V
Page 821 and 822:
S =6s 2 S = 6 ⋅ (
Page 823 and 824:
a V = 4 3 πr3 V ≈
Page 825 and 826:
h h
Page 827 and 828:
a π V = πr 2 h V
Page 829 and 830:
V =πr 2 h.
Page 831:
π V = 1 3 π r 2 h V ≈ 1 3 3.
Page 834 and 835:
15 a b 36
Page 836 and 837:
35 6x + 24 =96. 5 $1,00
Page 838 and 839:
d = 520 miles r =65mph t =? d =
Page 840 and 841:
a b h = 2A b A = 1
Page 842 and 843:
3x + 4y = 10 y: a x = 2 b 5x
Page 844 and 845:
8 1 2 4 5 6 1 3 4 72
Page 846 and 847:
V = LWH H. 40°
Page 848 and 849:
Number Value ($) Total Value ($)
Page 850 and 851:
V = LWH S =2LH +2LW +2WH V = s 3
Page 852 and 853:
45° 22 8
Page 854 and 855:
220 85 39 11.
Page 856 and 857:
2 6 0.8 2.5 18 40
Page 858 and 859:
12 $2.95 5
Page 861 and 862:
8x + 3x. (5n + 8) − (2n −
Page 863 and 864:
a 8x 2 −7x −9 b −5a 4 c x
Page 865 and 866:
a 47 b 2x 2 − 8x + 2 c x 4 − 16
Page 867 and 868:
⎛ ⎝ ⎛ 6y 2 + 3y − 1 ⎞ ⎠
Page 869 and 870:
−8t 2 + 24t + 4 t
Page 871:
⎛ ⎝7x 2 −4x +2 ⎞ ⎠ ⎛
Page 874 and 875:
a 5 3 5·5·5 125 b 9 1 9 a
Page 876 and 877:
a (−8) 2 b −8 2
Page 878 and 879:
y 17 · y 23 y 40 y 24 · y 19
Page 880 and 881:
⎛ ⎝3 6⎞ 8 ⎠ (a m ) n = a m
Page 882 and 883:
(x 2 ) 6 (x 5 ) 4 x 12 · x 20 x
Page 884 and 885:
⎛ ⎝ 3 4 c3 d ⎞ ⎠ (12cd2 ).
Page 886 and 887:
(−9n) 3 (4rs) 2 (5ab) 3 (4xyz)
Page 888 and 889:
2(x + 3). −11(4 − 3a).
Page 890 and 891:
−2x(5x 2 +7x −3) −2x ⋅5x 2
Page 892 and 893: (x +6)(x +8) (x +8) x 2 +8x +6x
Page 894 and 895: +2x, 2 and x, −2y,
Page 896 and 897: (4a + 9)(5a − 2). (7x + 4)(7x
Page 898: (x + 3)(2x 2 −5x +8). 2x 3 −
Page 901 and 902: (5r − 4)(12r +1) (4c − 1)(4c +
Page 903 and 904: Consider x 5 x 2 and x 2 x 3 What d
Page 905 and 906: a b b 10 b 15 n > m, am a n = 1
Page 907 and 908: 8 8 =1 2 3 2 3 2 3 =1 2 3−3 =1
Page 909 and 910: y −3x 2 y 0 −3x 2 ⋅1 −3
Page 911 and 912: a, b m, n Product Property Power
Page 913 and 914: 3 ⎛ ⎜ p2 ⎞ ⎝q 5 ⎟ . ⎠
Page 915 and 916: 63x 8 ÷ 9x 4 . 96y 11 ÷ 6y 8 .
Page 917 and 918: (3x 4 y 5 )(8x 2 y 5 ) 12x 5 y 8 .
Page 919 and 920: ⎛ ⎝x 2⎞ 4 ⎠ x 5 ⎛ ⎝y 4
Page 921 and 922: −3 0 (−3) 0 n 0
Page 923 and 924: n a ≠0, a −n = 1 a n.
Page 925 and 926: (4 · 2) −1 (8) −1 a −n = 1
Page 927 and 928: a, b m, n Product Property Power
Page 929 and 930: (2x −6 y 8 )(−5x 5 y −3 ). (
Page 931 and 932: 4000 0.004. 4000 4 × 1000 0.
Page 933 and 934: 5.2×10 −3 5.2 × 10 −3 5.2 ×
Page 935 and 936: (4 × 10 5 )(2 × 10 −7 ). (4 ×
Page 937 and 938: ⎛ ⎝−6m −8 n −5⎞ ⎠ ⎛
Page 940 and 941: 56 −3(6a + 11). 4x 2
Page 944 and 945: 3a +3. 9a + 9. 11x + 11.
Page 946 and 947: 6x 2 +5x. 6x 2 +5x 6x 2 5x x(
Page 948: −9y −27 −9 ⎛ ⎝y +3 ⎞
Page 951 and 952: 3a 4 −24a 3 +18a 2 5p 4 −20p 3
Page 953 and 954: a, b, c b ≠0, c ≠0, a b = a b
Page 955 and 956: 4p +11p −8y 3 −5y 3 4n 5 ,
Page 957 and 958: (x +1)(x 2 −3x − 21) (5b − 2
Page 959 and 960: 5n, 45 8a, 72 12x 2 , 20x 3 , 36x
Page 961 and 962: x + 3 x = −1. 2x − 5y x
Page 963 and 964: x-axis 0. 0 0.
Page 965 and 966: (3, 1), 3 x-axis x =3.
Page 967 and 968: a (−1, 4) b (1, 4) c (1, −4) d
Page 969 and 970: e x =0, (0, −1) y-axis. a (
Page 971 and 972: x =−4 y =−2 x =3 y =1 (
Page 973 and 974: 2x + 3y = 6 a (3, 0) b (2, 0) c (6,
Page 975 and 976: y =4x −2 y =4x −2 y =4x −2 y
Page 977 and 978: 3x − 4y = 12. 3x −4y =12 x y (x
Page 979 and 980: 4x + 2y = 8. x −4y =8. x y.
Page 981 and 982: 2x + y =6 x +3y =9 4x −2y =8 a
Page 983 and 984: a b
Page 985 and 986: ( −2,6) x =−2 y =6
Page 987 and 988: y = 3x − 1 a b (0, − 1) (
Page 989 and 990: y =−3x. x,
Page 991 and 992: y = 1 3 x − 1. y = 1 4 x + 2.
Page 993 and 994:
3x + y =−1. y. 3x + y = −1 y
Page 995 and 996:
x =2. x, x 2. x
Page 997 and 998:
y -1 y = −4. y = 3.
Page 999 and 1000:
a y = x +2 y = x −4 b y = 1
Page 1001 and 1002:
y =4x y =2x y =− 1 2 x +3 y =
Page 1003 and 1004:
(a, 0)
Page 1005 and 1006:
a x +2y =4 b 3x − y =6 c x + y =
Page 1007 and 1008:
2x + y =6 y =0 x =0
Page 1009 and 1010:
−x +2y =6 x-intercept. y =0,
Page 1011 and 1012:
4x−3y =12 x y (x, y) 3 0 (3, 0) 0
Page 1013 and 1014:
Ax + By = C y =0 x =0
Page 1015 and 1016:
x- y-
Page 1017 and 1018:
3x−2y =6 5x−2y =10 2x−5y =
Page 1019 and 1020:
1 − 4 8 − 2 . 0 4 , 4 0 .
Page 1021 and 1022:
2 . 3 m. m = rise run .
Page 1023 and 1024:
The rise is −1. The run is 3. m =
Page 1025 and 1026:
1 2 . m = 1 3 . m = 3 2 .
Page 1027 and 1028:
m = rise run
Page 1029 and 1030:
m = rise run m = −6 9 m =− 2 3
Page 1031 and 1032:
y = b; y x = a; x y
Page 1033 and 1034:
a x =8 b y =−5 a x =8 b y =−5
Page 1035 and 1036:
x (1, 2) (4, 5) 1 , y 1 x 2 , y
Page 1037 and 1038:
m = rise run m = −7 5 m =− 7 5
Page 1039 and 1040:
y (0, 2) m =− 2 3 . y (0, 2)
Page 1041 and 1042:
(−2, 1) m = 3. (4, −2) m =
Page 1043:
2 3 3 4 1 4 4 3 − 1 2 − 3
Page 1046 and 1047:
(−1, −4); m = 4 3 (−3, −5)
Page 1048 and 1049:
y = b (0, b). Ax +
Page 1050 and 1051:
(x 1 , y 1 ) (x 2 , y 2 ) m = y 2
Page 1052 and 1053:
y =−x +4 y = 2 3 x −1 (0, 4)
Page 1054 and 1055:
y =2 x =5 x =−3 y =−1 (2,
Page 1056 and 1057:
(0, −4) (5, 2). y =2.
Page 1058 and 1059:
22. −3 3 5 ÷6 23. −4 2 ⎛ 3
Page 1060 and 1061:
72. 24° 73.
Page 1063 and 1064:
n n 2 n n 3 3 n 1 1 1 1 1 2 4 1.414
Page 1065 and 1066:
n n 2 n n 3 3 n 54 2,916 7.348469 1
Page 1067 and 1068:
Perimeter: P =2l +2w Area: A = lw
Page 1069:
Volume: V = πr 2 h Surface Area: S
Page 1072 and 1073:
a 0 + 19 = 19 b 39 + 0 = 39 a 0 +
Page 1074 and 1075:
a b a b a b
Page 1076:
a b
Page 1079 and 1080:
a b
Page 1081 and 1082:
a a a b b b a a a b
Page 1083 and 1084:
a b a b a b
Page 1085 and 1086:
a a a b b b c d c d
Page 1087 and 1088:
a b c d a b c d a b a
Page 1089 and 1090:
a b c a b c
Page 1091 and 1092:
5 3 =12 3 13 8 =1 5 8 1 2 7 1
Page 1093 and 1094:
25 49 . 1 2 − 3 5 , 3 −5
Page 1095 and 1096:
2 5 2 2 3 1 5 7 2 2 3 1 5 7 6
Page 1097 and 1098:
5 18 2 15 27 40 1 4 − 1 6
Page 1099 and 1100:
− 14s 3 2 7 − 11 3 − 1 8 6
Page 1101 and 1102:
p = 37 40 k =− 7 15 k = 18 7 v
Page 1103 and 1104:
a b c a b c
Page 1105 and 1106:
a b c a b c a c b
Page 1107 and 1108:
a b c d
Page 1109 and 1110:
11. 1 - %, or 11 1 9 % 16. 6 - %,
Page 1111 and 1112:
a b a b
Page 1113 and 1114:
a b a b a (1 + 0.7) + 0.3 = 1
Page 1115 and 1116:
⎛ ⎞ ⎝13 · 23 ⎝ 2 3 ·18⎞
Page 1117 and 1118:
a − 2 5 b 5 2 23 15
Page 1119 and 1120:
a = 4 3 c = 12 11 f = 10 3
Page 1121 and 1122:
a r =65 b r = d t a t = 3 years b
Page 1123 and 1124:
a L = b V WH a
Page 1125 and 1126:
a b a b a 1 x 7 b 1 12 10
Page 1127 and 1128:
1 y 16 1 10 12 a 1 a 8
Page 1129 and 1130:
1 5 36 16 1 u 3 v 5
Page 1131 and 1132:
y =3x −1 x y (x, y) 0 −1 (0,
Page 1133 and 1134:
a b c d a b c d − 4 3
Page 1135 and 1136:
a b a c b c a b x y (x, y) −1
Page 1140 and 1141:
a b 1 4
Page 1142 and 1143:
1 3 a 3 50 b rise = 3; run = 50 a
Page 1144:
− 2 3 − 1 2 1 2
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Prealgebra - 2e, 2020a

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