Intermediate Algebra - 2e, 2017a

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OpenStax Rice University 6100 Main Street MS-375 Houston, Texas 77005 To learn more about OpenStax, visit https://openstax.org. Individual print copies and bulk orders can be purchased through our website. ©2020 Rice University. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0). Under this license, any user of this textbook or the textbook contents herein must provide proper attribution as follows: - If you redistribute this textbook in a digital format (including but not limited to PDF and HTML), then you must retain on every page the following attribution: “Access for free at openstax.org.” - If you redistribute this textbook in a print format, then you must include on every physical page the following attribution: “Access for free at openstax.org.” - If you redistribute part of this textbook, then you must retain in every digital format page view (including but not limited to PDF and HTML) and on every physical printed page the following attribution: “Access for free at openstax.org.” - If you use this textbook as a bibliographic reference, please include https://openstax.org/details/books/intermediate-algebra-<strong>2e</strong> in your citation. For questions regarding this licensing, please contact support@openstax.org. Trademarks The OpenStax name, OpenStax logo, OpenStax book covers, OpenStax CNX name, OpenStax CNX logo, OpenStax Tutor name, Openstax Tutor logo, Connexions name, Connexions logo, Rice University name, and Rice University logo are not subject to the license and may not be reproduced without the prior and express written consent of Rice University. HARDCOVER BOOK ISBN-13 B&W PAPERBACK BOOK ISBN-13 DIGITAL VERSION ISBN-13 ORIGINAL PUBLICATION YEAR 10 9 8 7 6 5 4 3 2 1 978-1-975076-49-8 978-1-975076-48-1 978-1-951693-24-4 2020
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Page 3: Intermediate Algebra 2e SENIOR CONT
Page 14 and 15: n n.
Page 17 and 18: 2·2·2·2·3
Page 19 and 20: a + b a b a b a − b a b a
Page 21 and 22: a n n th a n “a n th a 2
Page 23 and 24: 5+2 3 +3 ⎡ ⎣6−3(4−2) ⎤
Page 25 and 26: 7 4 5x 3x n 2 9n 2
Page 27: twelve more than y twelve added to
Page 30 and 31: 3x 2 +12x +11+14x 2 +8x +5 5b 2 +9
Page 32 and 33: 2 −2 2 −2, −
Page 34 and 35: −9__ − |−9| −9__−9 −9
Page 36 and 37: −5 + (−3),
Page 38 and 39: a 3−1 b −3 − (−1) c −3−
Page 40 and 41: 7−(−4−3) −9. 7−(−4 −
Page 42 and 43: a −100 ÷ (−4) b 7·6 c 4(−8)
Page 44 and 45: 8(−9) ÷ (−2) 3 8(−9) ÷ (
Page 46 and 47: 15 −6 −
Page 48 and 49: a 15 − 8 b −15 − (−8) c −
Page 50 and 51: a b
Page 52 and 53: − 315 770 . − 69 120 .
Page 54 and 55:
− 27 7 ÷ ⎛ ⎝ − 35 ⎞ 36
Page 56 and 57:
7 12 + 11 15 . 13 15 + 17 20 .
Page 58 and 59:
5x 6 · 310 5x ·3 6·10 5 x ·3 2
Page 60 and 61:
1 + 42 ⎛1 ⎛ ⎞ 2 . ⎝4 ⎠
Page 62 and 63:
− 108 63 − 104 48 120 252 18
Page 64 and 65:
− 1 8 + 7 12 − 7 15 − y 4
Page 66 and 67:
a b c 18.379. a b
Page 68 and 69:
−23.5 − 41.38 23.5 ______ +41
Page 70 and 71:
a b c
Page 72 and 73:
a 0.374 b − 5 8 a b 5 8
Page 74 and 75:
n n 2 n 8 2
Page 76 and 77:
−25? −25? () 2 = −25?
Page 78 and 79:
4, −3. 3 4 3 4
Page 80 and 81:
71% 150% 39.3% 7.8% 1.56 0.
Page 82 and 83:
8+9 9+8, 8+9=9+8.
Page 84 and 85:
⎛2 ⎝ + 7 ⎞ 9 12⎠ + 5 . 12
Page 86 and 87:
7 15 · 823 · 15 7 7 15 · 15 7
Page 88 and 89:
100 ⎛ ⎝0.3 + 0.25q ⎞ ⎠.
Page 90 and 91:
4(x −8) − (x +3) 4x −32−x
Page 92 and 93:
43m + (−12n) + (−16m) + (−9n)
Page 94 and 95:
0
Page 96 and 97:
a ≠ b a < b a ≤ b a > b a ≥ b
Page 98 and 99:
−1 −1a =−a −1
Page 100 and 101:
m m = n 2 , m = n, n ≥0. m
Page 102 and 103:
x =4, a x 3 b 5 x c 2x 2 −5x +3
Page 104 and 105:
a − 3y 10 − 5 6 b − 3y 10 ·
Page 106 and 107:
756. 5n +8+2n −1 x =−2
Page 108 and 109:
5 − 2(n + 1). 5 6 1 4 .
Page 110 and 111:
2(m − 4) + 3 = −1. 5(a − 3
Page 112 and 113:
6 ⎛ ⎝p − 3 ⎞ ⎠ − 7 = 5
Page 114 and 115:
12n 4 + 9(
Page 116 and 117:
1 12 x + 5 6 = 3 4 . 1 4 x + 1
Page 118 and 119:
y =9. 1 5 (n + 3) = 1 (n + 2).
Page 120 and 121:
x =9 0.25n + 0.05(n + 5) = 2.95
Page 122 and 123:
18(5j − 1) + 29 = 47 24(3d − 4
Page 124:
s =
Page 127 and 128:
−12 −3? −3−9 = ? −12 −
Page 129 and 130:
n 1 st odd integer n +2 2 nd consec
Page 131 and 132:
a b c a
Page 133 and 134:
change = new amount − original am
Page 135 and 136:
a b a b
Page 137 and 138:
Let r = rate of interest. I = Prt 1
Page 140 and 141:
−36. −3.
Page 142 and 143:
a b
Page 144 and 145:
h = 3V πr 2. A = 1 bh 2 A
Page 146 and 147:
h = A = 1 2 bh 126 = 1 2 ·
Page 148 and 149:
a 2 + b 2 = c 2 a 2 +12 2 = 13 2 a
Page 150 and 151:
P = 2L +2W 96 = ? 2·34+2·14 96 =
Page 152 and 153:
w +40= P = 2L +2W 360 = ? 2(
Page 155:
C = πd C = πd π. V =
Page 159 and 160:
a b c
Page 161:
p = 8p +3= $3.02? 7(
Page 164 and 165:
40 − f = 26 · 3
Page 166:
D = rt,
Page 169 and 170:
+ 15.
Page 171 and 172:
Now solve this equation 70t +60t =
Page 173 and 174:
Walk 3 mph (0.5 hour) = 1.5 miles B
Page 178 and 179:
a b c
Page 180 and 181:
a x ≥−3b x < 2.5 c x ≤− 3 5
Page 182 and 183:
ax + b < c, ax + b ≤ c, ax + b >
Page 184 and 185:
c 5 3 . 5 3 a p − 3 4
Page 186 and 187:
6x < 10x + 19.
Page 188:
1 4 x − 12 1 x > 1 6 x + 7
Page 191 and 192:
Let t = the number of text messages
Page 193 and 194:
Let h = the number of hours. 525
Page 195:
6h −4(h −1) ≤7h −11 4k −
Page 198 and 199:
2 (x + 10). 5 −(x − 4).
Page 200 and 201:
3x − 4 < 5 4x + 9 ≥ 1.
Page 202 and 203:
−4≤3x −7
Page 204 and 205:
x ≤ 21 2 x ≥ −12 (−
Page 206 and 207:
x −2 x ≥−4 x ≤−1 x >
Page 208 and 209:
2−7x ≥−5 4(x −3) +7>3. a
Page 210 and 211:
If |x| =5 then x =−5 or x =5
Page 212 and 213:
2|x −7| +5=9 2|x −7| =4 |x −
Page 214 and 215:
|u| ≤ a, −a ≤ u ≤ a.
Page 216 and 217:
−5 |u| ≥ a, u ≤−a u
Page 218 and 219:
|actual-ideal| ≤ tolerance |x −
Page 220 and 221:
|2x −5| +2=3 |4x −3|
Page 222:
change = new amount − original am
Page 225 and 226:
a < x < b a < x x < b. a < x < b
Page 227 and 228:
−135.
Page 230 and 231:
x 2 −2 < x 15p −30 9h −7(h
Page 232 and 233:
| 1 2 x +5 | +4=1 |6x −5| = |2x
Page 234 and 235:
4 1 2
Page 236 and 237:
(x, y)
Page 238 and 239:
(−3, −4) c x =2, y
Page 240 and 241:
Ax + By = C y =2x −3 a
Page 242:
y = 3x − 1. a b (3, −1) (
Page 245 and 246:
1 2 y = 1 2 x +3 (x, y) (0,
Page 247 and 248:
x = a. (a, 0). y = b. (0, b)
Page 249 and 250:
y =4 y =4x y
Page 251 and 252:
(3, 0) (0, 6) (4, 0) −3 (0,
Page 253 and 254:
y =0 x =0 y =0
Page 255 and 256:
x - 2y = 4.
Page 257 and 258:
5x − 2y = 10. 3x − 4y = 12.
Page 259 and 260:
y = −x.
Page 261 and 262:
y = 1 2 x −3; (0, −3); (2,
Page 263 and 264:
y =−x y = 3 2 x y =−2 3 x
Page 265 and 266:
m = rise run . m = rise run
Page 267 and 268:
m = rise run m = 2 0
Page 269 and 270:
(−2, −3) (−7, 4). (−2,
Page 271 and 272:
m = rise run
Page 273 and 274:
a y = 2 5 x − 1 b x + 4y = 8
Page 275 and 276:
a y =5b 4x −5y =20c x =−3d y =
Page 277 and 278:
T = 1 n + 40 4 a b
Page 279 and 280:
m = 2 , 5
Page 281 and 282:
a 2x + 5y = 5 y = − 2 5 x − 4
Page 283:
y =−5x −4 y. x −5y =5 −5y
Page 286 and 287:
(2, 5); m =− 1 3 (1, 4) m =−
Page 288 and 289:
y = 3 4 x −3; 3x −4y =−2 3x +
Page 290 and 291:
y = mx + b. 2 5 (0, 4). −
Page 292 and 293:
m = y − y 1 x − x 1 x − x 1
Page 294 and 295:
(−2, −4) (1, −3). (−4,
Page 296 and 297:
y =2x −3. m ∥ =2. m ∥
Page 298 and 299:
(−2, 1)?
Page 300 and 301:
(3, −2). −2.
Page 302 and 303:
y (0, 5) (0, −6) −3 y (
Page 304 and 305:
(2, 6) (5, 3) (4, 3) (8, 1) (
Page 306 and 307:
x > 2 4x + 3 > 23 8 < x
Page 308 and 309:
(−8, 12) (−8, 12) y > x +4.
Page 310 and 311:
y > x +4 y = x +4 y > x +4.
Page 312 and 313:
y =−2x + 3. y = 1 2 x − 4.
Page 314 and 315:
3x − y = 6.
Page 316 and 317:
(0, 0) (0, 0) x −2y
Page 318 and 319:
x = a y = b vertical line horizonta
Page 320 and 321:
a b c
Page 322 and 323:
y =− 1 3 x −2.
Page 324 and 325:
a b
Page 326 and 327:
{1, 4, 9, 16, 25} {(1, 1), (2, 8
Page 328 and 329:
a b c a
Page 330 and 331:
c {321-549-3327, 427-658-2314, 32
Page 332 and 333:
y = f (x), x is the independent var
Page 334 and 335:
g(x +2), x +2 c g(x) + g(2),
Page 336 and 337:
a b {(1, 4), (2, 8), (3, 12), (4
Page 338 and 339:
a b c a 2x + y
Page 340 and 341:
a 2 3 b 3 2 . a |7| b |−3|.
Page 342 and 343:
y =2x −3 y =2x
Page 344 and 345:
f (x) =−2x −4. f (x) =−2x
Page 346 and 347:
f (x) = x 2 . f (x) = x 2 .
Page 348 and 349:
f (x) = x f (x) = x
Page 350 and 351:
[−3, 3].
Page 352 and 353:
x = 3 2 π, −1. f ⎛ ⎝ 3 2
Page 354 and 355:
a a b b a a b b
Page 356 and 357:
a f (0). b f ⎛ ⎝ 1 2 π⎞
Page 358 and 359:
Ax + By = C Ax + By > C A
Page 360 and 361:
m = rise run . m = rise run
Page 362:
f (x) y = f (x),
Page 365 and 366:
x − y =−1 x +2y =6 2x +3y =12
Page 367 and 368:
(2, −2); m = 5 (−3, 4); m =−
Page 369 and 370:
(2, 10) (−2, −2) (7, 1) (5,
Page 371 and 372:
a b c
Page 373 and 374:
a b f (x) =5x +1
Page 375 and 376:
a (2, 5) b (−1, −3) c (0, 2) d
Page 377:
h(y) =3|y −1| −3, h(−4).
Page 380 and 381:
3x − y = 12. 2x − 3y =
Page 383 and 384:
⎧x − 3y = −3 ⎨ . ⎩ x + y
Page 385 and 386:
⎧ y = − 1x + 2 ⎨ 4 . ⎩ x +
Page 387 and 388:
a ⎧ =3x −1 ⎨y ⎩6x −2y =12
Page 389 and 390:
⎧2x + y =7 ⎨ ⎩x −2y =6 .
Page 391 and 392:
⎛ ⎝ 5 4 , − 1 ⎞ 2⎠ .
Page 393 and 394:
⎧ ⎨ ⎩ 4x −3y =9 7x +2y =−
Page 395 and 396:
(3, 6). ⎧1 x − 3 1 2 ⎨ y =
Page 397 and 398:
a ⎧ ⎨ ⎩ 3x +8y =40 7x −4y
Page 399 and 400:
⎧ ⎨ y =−1 2 x +5 ⎩x +2y =1
Page 402 and 403:
n = m = m = 9 2
Page 404:
e = c =
Page 407 and 408:
x = y =
Page 409 and 410:
L = W =
Page 411 and 412:
k = j − 1 2 ⎧ ⎨ k = j − 1
Page 413 and 414:
s = c =
Page 415 and 416:
347 + 18 = 365 365 · 3 = 1,095
Page 418 and 419:
4.5
Page 420 and 421:
a ·12=12a, c ·7=7c. a = c =
Page 422 and 423:
n =36 $0.10 = $6.30 $0.05 = $1
Page 424 and 425:
x = y = −0
Page 426 and 427:
s + b = 40,000, 0.08s + 0.03b =
Page 428 and 429:
a b c d a
Page 430 and 431:
$3.80.
Page 432 and 433:
a b c
Page 434:
ax + by + cz = d, (x, y, z
Page 437:
a (1, −3, 2) b (4, −1, −5)
Page 440 and 441:
x =−4 y =1. x =−4 (−4,
Page 442 and 443:
y +2z = 3 y = −2z +3 x +2y −
Page 444 and 445:
⎧ ⎨ ⎩ 2x −6y + z =3 3x −4
Page 446 and 447:
3(x + 2) + 4 = 4(2x − 1) + 9.
Page 448 and 449:
⎡1 −1 2 3 ⎤ ⎢2 1 −2 1⎥
Page 450 and 451:
⎡ ⎣ 1 −1 2⎤ 4 −8 | 0⎦ .
Page 452 and 453:
⎧ ⎨ ⎩ 3x +8y +2z =−5 2x +5y
Page 454 and 455:
⎧x + y +3z =0 ⎨x +3y +5z =0.
Page 456 and 457:
⎧ x + y − z = 0 ⎨2x + 4y −
Page 458 and 459:
⎧2x + y =2 ⎧3x + y =2 ⎨ ⎨
Page 460 and 461:
2×2 3×3 5(−2) − (−
Page 462 and 463:
a | 4 −2 3 1 0 −3 −2 −4 2|
Page 464 and 465:
|3 −2 4 0 −1 −2 2 3 −1|,
Page 466 and 467:
D x D y , ⎧2x + y
Page 468 and 469:
⎧ ⎨ ⎩ 3x −5y +4z =5 5x +2y
Page 470 and 471:
⎧ ⎨ ⎩ x +3y =4 −2x −6y =3
Page 472 and 473:
⎡ ⎣ 6 −2 ⎤ 3 −1⎦ ⎡
Page 474 and 475:
2a < 5a + 12. ⎛ ⎝ ⎛ 3, 1
Page 477 and 478:
⎧ y < 3x + 2 ⎨ ⎩ y > −x −
Page 479 and 480:
⎧ ⎨ ⎩ x −2y −4 x −2y
Page 481 and 482:
⎧3x − 2y ≥ 12 ⎨ ⎩y ≥ 3
Page 483 and 484:
x = the number of small photos. y =
Page 485 and 486:
h = the number of hamburgers. c = t
Page 487 and 488:
⎧3x + y >5 ⎧4x − y −8 ⎨
Page 489 and 490:
a b c d
Page 491 and 492:
Choose the Most Convenient Method t
Page 493 and 494:
|+ − + +| − + − + − ⎧ a 1
Page 495 and 496:
( 3 4
Page 497 and 498:
⎧3x − y =−1 ⎧4x +3y =−2
Page 499 and 500:
⎧ ⎨ y ≤−3 4 x +1 ⎩x ≥
Page 501 and 502:
3x 2 + 3x + 1 + 8x 2 + 5x + 5.
Page 503 and 504:
a 7y 2 −5y +3 b −2a 4 b 2 c 3x
Page 505 and 506:
a 8y 2 + 3z 2 − 3y 2 b m 2 n 2
Page 507 and 508:
⎛ ⎝a 3 − a 2 b ⎞ ⎠ −
Page 509 and 510:
h(t) = −16t 2 + 175
Page 511 and 512:
a 47x 5 −17x 2 y 3 + y 2 b 5c 3 +
Page 513 and 514:
⎛ ⎝7x 2 −2xy +6y 2⎞ ⎠ +
Page 515 and 516:
(−2)(−2)(−2). 8x 24y .
Page 517 and 518:
d a b 9 · b 8 b 4 2x · 4 x c
Page 519 and 520:
am a m. m > n n < m m = n?
Page 521 and 522:
10 −3 a −n = 1 a n. 1 10 3 1
Page 523 and 524:
⎛ ⎝ − x y ⎞ −3 ⎠ ⎛
Page 525 and 526:
a (a m ) n = a m · n . b c (y
Page 527 and 528:
⎛ ⎝5x −3⎞ 2 ⎠ (ab) m = a
Page 529 and 530:
2 ⎛ ⎜ 4p−3 ⎞ ⎝ q 2 ⎟
Page 531 and 532:
(x 3 ) 4 (x −2 ) 5 (x 6 ) 5 (a m
Page 533 and 534:
3.7 × 10 4 3.7 × 10,000 37,000 b
Page 535 and 536:
a ⎛ ⎝−4 × 10 5⎞ ⎠ ⎛
Page 537 and 538:
a b 4 b −8 b ⎛ ⎝w 4 x −5⎞
Page 539 and 540:
a b a b a b a b a 5.2
Page 541 and 542:
⎛ ⎝ 5 6 x3 y ⎞ ⎠ ⎛ ⎝12x
Page 543 and 544:
a ⎛ ⎝y −7 ⎞ ⎠ ⎛ ⎝y +4
Page 545 and 546:
a ⎛ ⎝y 2 + 7 ⎞ ⎠ ⎛ ⎝⎛
Page 547 and 548:
(a + b) 2 = ___ + ___ + ___
Page 549 and 550:
a (2x +5)(2x −5) b (5m −9n)(5m
Page 551 and 552:
d (5x −6)(6x +5) (5x −6)(6x +5
Page 553 and 554:
a ⎛ ⎝6y 7⎞ ⎠ ⎛ ⎝−3y 4
Page 555 and 556:
(r 2 − s 3 )(r 3 + s 2 ) ⎛
Page 557 and 558:
3 d + x d . 30xyx 3 . 5xyx
Page 559 and 560:
y 5 + 2 5 y +2 5 .
Page 561 and 562:
x 3 0x 3 x 4 x. x 3 , x 3
Page 563 and 564:
x. x − c 2x 2
Page 565 and 566:
f (x) g(x). ⎛ ⎝ f g ⎞ ⎠ (
Page 567 and 568:
f (x) = x 3 − 7x + 12 x + 3.
Page 569 and 570:
2x 4 −9x 3 +5x 2 −3x −6 x
Page 571 and 572:
(a − b), (a + b).
Page 573 and 574:
a m · a n = a m + n (a m ) n = a m
Page 575 and 576:
f (x) x − c, f (c). f (x),
Page 577 and 578:
⎛ ⎝y 4⎞ 3 ⎠ ⎛ ⎝3 2⎞
Page 579 and 580:
(3y + 5)(3y −5) (6x + y)(6x −
Page 581:
8y 4 −3y 2 +1 ⎛ ⎝5a 2 +2a
Page 585 and 586:
25m 4 , 35m 3 , 20m 2 . 14x 3 ,
Page 587 and 588:
8x 3 y, −10x 2 y 2 , and 12xy 3
Page 589 and 590:
a x 2 +3x −2x −6 b 6x 2 −3x
Page 591 and 592:
−18xy 2 −27x 2 y −4x 3 y 5
Page 593 and 594:
x 2 + bx + c. x 2 + bx +
Page 595 and 596:
u 2 − 9u + 18. y 2 − 16y + 6
Page 597 and 598:
u 2 −9uv −12v 2 u, v. (u v)(u
Page 599 and 600:
1x ·3x =3x 2 ?
Page 601 and 602:
6b 2 −13b +5 (b −1)(6b −5)
Page 603 and 604:
−5y 2 . −5y 2 ⎛ ⎝y +4 ⎞
Page 605 and 606:
ac. ac =28 ac (−4)(−7) = 28
Page 608 and 609:
x 2 + bx + c x 2 +bx+c. p 2 +11p
Page 610 and 611:
x 2 + bx + c (x + m)(x + n).
Page 612 and 613:
9x 2 +12x +4. 4x 2 + 12x + 9.
Page 614 and 615:
49x 2 + 84xyx + 36y 2 . 64m 2 +
Page 616 and 617:
144x 2 −49y 2 . 144x 2 −49y 2
Page 618 and 619:
⎛ ⎝x − y −3 ⎞ ⎠ ⎛ ⎝
Page 620 and 621:
27u 3 − 125v 3 . 8x 3
Page 623 and 624:
16y 2 +24y +9 25v 2 +20v +4 36s 2
Page 625 and 626:
x 2 + bx + c? ax 2 + bx + c?
Page 627 and 628:
24y 2 − 150 6 ⎛ ⎝4y 2 −25
Page 629 and 630:
12x 3 y 2 +75xy 2 3xy 2 3xy 2
Page 631 and 632:
4x 2 +8bx −4ax −8ab 4 ⎛ ⎝
Page 633 and 634:
2n 2 +13n −7 8x 2 −9x −3 a
Page 635 and 636:
5y − 3 = 0. n 3 − 9n 2 −
Page 637 and 638:
ax 2 + bx + c =0. 2y 2 =13y +
Page 639 and 640:
(k + 1)(k − 1) = 8.
Page 641 and 642:
f (x) =0, f (x) =0, (x, 0)
Page 643 and 644:
n = the first integer. n + 2 = next
Page 645 and 646:
⎛ ⎝a 2 + b 2 = c 2⎞ ⎠.
Page 647 and 648:
c t =2 a h(t) =0. h(t) =0 h(t
Page 649 and 650:
(3a −10)(2a −7) =0 (5b +1)(6b
Page 651 and 652:
a b
Page 653 and 654:
x 2 + bx + c x 2 + bx
Page 655 and 656:
x 2 + bx + c? ax 2 + bx + c?
Page 657 and 658:
x 2 +bxy+cy 2 . x 2 +12xy +35y 2
Page 659 and 660:
f (x) =64x 2 −49 f (x) =6x 2 −
Page 661 and 662:
90y 15y 2.
Page 663 and 664:
8a 2 b 3c 3c =0 8a 2 b 3c c =0 is
Page 665 and 666:
x 2 − x − 2 x 2 − 3x + 2 .
Page 667 and 668:
p q · rs pr = qs
Page 669 and 670:
x 3 − 8 3x 2 − 6x + 12 ÷ x2
Page 671 and 672:
4m + 4 3m − 15 · m2 − 3m − 1
Page 673 and 674:
R(x) = f (x) · g(x) f (x) = 3x
Page 675 and 676:
5p 2 p 2 −5p −36· p2 −16 10p
Page 677 and 678:
a b
Page 679 and 680:
11x +28+ x +4 x x2 +4 , x ≠−4
Page 681 and 682:
m2 −6m m 2 −1 − 3m +2 1−m
Page 683 and 684:
3 x −3 + x −2 2 . 2 x − 2
Page 685 and 686:
Find the LCD. y 2 −16= ⎛ ⎝y
Page 687 and 688:
Find the LCD. a 2 +6a +5 =(a +1)(a
Page 689 and 690:
R(x) = f (x) − g(x) f (x) = x +
Page 691 and 692:
6 a 2 +14a +45 , 5a a 2 −81 4 b
Page 693 and 694:
3 5 . 9 10 1 − 1 3 4 2 + 4
Page 695 and 696:
1 3 + 1 6 1 2 − 1 . 3
Page 697 and 698:
n − 4n n +5 1 n +5 + 1 . n −5
Page 699 and 700:
1 a + 1 b a b + b . a 1 x 2 −
Page 701 and 702:
(m −3)(m −4). 3 x 2 +
Page 703 and 704:
2a a +4 4a 2 a 2 −16 3b b −5 b
Page 705 and 706:
1 6 x + 1 2 = 1 3 . n 2 − 5n
Page 707 and 708:
1− 5 y =−6 y 2.
Page 709 and 710:
x =−1. 2 x + 1 + 1 x − 1 = 1
Page 711 and 712:
(y −6)(y +6). y =4. x
Page 713 and 714:
x ≠−1,x ≠ 1 3 , x ≠3 (3x
Page 715 and 716:
m = y − y 1 x − x 1 Multiply bo
Page 717 and 718:
1 a + 2 5 = 1 2 6 3 − 2 d = 4 9
Page 719 and 720:
a b 1 − 10,
Page 721:
y y + 55 = 3 8 . z z − 84 =
Page 725 and 726:
D = rt
Page 727 and 728:
Tailwind 150 + 30 = 180 mph 300 180
Page 729 and 730:
D = r · t, t t = D r .
Page 731 and 732:
1 10 1 8
Page 733 and 734:
s =15h
Page 735 and 736:
a b a
Page 737 and 738:
x = 7 56 56 8 72 = y 9 72 156 =
Page 740 and 741:
y x y = 14, x =3. x y. a
Page 742 and 743:
a m. b
Page 744 and 745:
x −1 x +3 ≥0. x −1 x +3
Page 746 and 747:
4x x −6
Page 748 and 749:
(x +3)(x −5)=0 x =−3,x =5
Page 750 and 751:
R(x) ≤0 R(x). x +3 x −5 ≤0 x
Page 752 and 753:
x −3 x +4 ≥0 x +6 x −5 ≥0
Page 754 and 755:
q p , q ≠0. R(x) =
Page 756 and 757:
a b = d c , b ≠0,d ≠0.
Page 758 and 759:
4q 2 − q +3 q 2 +6q +5 − 3q2
Page 760 and 761:
x = 3 3 4 5 y = 9 5 s s +20 = 3 7
Page 762 and 763:
R(x) = x x −5 −2 , R(x) = x
Page 765 and 766:
a (−9) 2 b −9 2 c (−9) 3 .
Page 767 and 768:
144 12 2 = 144. 12 b − 289 17 2
Page 769 and 770:
3 a 64 a 4 b 81 5 c 32. 3 64 4 3
Page 771 and 772:
105 b 3 43 3 a 38 b 93 3
Page 773 and 774:
4 625 =5.
Page 775 and 776:
y 16 ⎛ ⎝y 8⎞ ⎠2 = y 16 .
Page 777 and 778:
4 16q 12 4 ⎛ ⎝ 2q 3⎞ 4 ⎠
Page 779 and 780:
a 64 b −81 a 169 b − 100 a 19
Page 781 and 782:
x 9 x 4. y 3 y 11. ⎛
Page 783 and 784:
500 100 · 5 100 · 5 10 5 b 2
Page 785 and 786:
72n 7 36n 6 ·2n 36n 6 · 2n 6 |
Page 787 and 788:
a 98a 7 b 5 3 b 56x 5 y 4 4 c 32x 5
Page 789 and 790:
45 80 ⎛ ⎝ 3 ⎞ 4⎠2 = 9 .
Page 791 and 792:
a a8 b a 6 4 x7 x 3 c 4 y17 y 5 .
Page 793 and 794:
c 4 48x 10 y 8 4 48x 10 4 y 8
Page 795 and 796:
4 5a 8 b 6 80a 3 b 2 4 a 5 b 4 16
Page 797 and 798:
27 80 125 96 147 450 800 675
Page 799 and 800:
a b
Page 801 and 802:
1 a n = n a
Page 803 and 804:
1 2 25 25 5 b 1 3 64 3 64 3 4 3
Page 805 and 806:
1 (a m n ) a m n . m a n = ⎛
Page 807 and 808:
32 − 2 5 a −n = 1 1 a n. 2 5 3
Page 809 and 810:
2 1 5 1 a x 2 · x 6 b ⎛ ⎝z 9
Page 811 and 812:
⎛ ⎜m ⎝ 2 3 1 n 3 ⎞ 2 2 ⎠
Page 813 and 814:
1 n a 1 1 1 a x 2 b y 3 4 c z 1
Page 815 and 816:
a b
Page 817 and 818:
5 3 3 y +4 y 3 9 y c 4 7 x −2 4
Page 819 and 820:
a 950m 2 −6 48m 2 3 b 54n 5 a 3
Page 821 and 822:
⎛ ⎝ 10 6p3 ⎞ ⎠ ⎛ ⎝ 43p
Page 823 and 824:
⎛3 ⎝ x −2 ⎞⎛3 ⎠⎝ x +4
Page 825 and 826:
⎛ ⎝ ⎛ 3 − 2 5 ⎞ ⎠ ⎞
Page 827 and 828:
a 7 ⎛ ⎝5+2 7 ⎞ ⎠ b a 11
Page 829 and 830:
30 48 . x 2 · x 4 . (7 +
Page 831 and 832:
147ab 8 3a 3 b 4 147ab 8 3a 3 b 4
Page 833 and 834:
a 4 3 b 3 20 c 3 6x .
Page 835 and 836:
3 3 2 . 3 3 3 =3. c 3 2·x 2
Page 837 and 838:
a 1 4 b 3 4 3 64 c 3 . 4 125x a
Page 839 and 840:
q − 10 q + 10
Page 841 and 842:
8 1− 5 7 2− 6 6 3− 7 5 4
Page 843 and 844:
3m + 2 − 5 = 0. 10z + 1 − 2
Page 845 and 846:
3 5x +1+8=4. 3 5x +1+8=4 3 5x
Page 847 and 848:
=0 r =5 r =0 m + 9 − m +
Page 849 and 850:
3 − x = x − 3. x + 2 = x + 1
Page 851 and 852:
t = h 4 .
Page 853 and 854:
s = 24d
Page 855 and 856:
x +7− x −5=2 x +5− x −3=2
Page 857 and 858:
f (x) = 2x −1 f (−2), x. f (
Page 859 and 860:
f (x) = 3x −4. f (x) = 3x
Page 861 and 862:
c [0, ∞). f (x) = x + 2, a
Page 863 and 864:
f (x) = 4x −4, a f (x) = 6x −
Page 865 and 866:
i −4, − 7, 0. 5 - , 7 , 3
Page 867 and 868:
a + bi, b =0, a + bi a +0·
Page 869 and 870:
4i(5 − 3i). −3i(2 + 4i).
Page 871 and 872:
a + bi, a − bi. a + bi,
Page 873 and 874:
−3 5+2i . −3 5+2i −3(5
Page 875 and 876:
i n = ⎛ ⎝i 4⎞ ⎠q · i r ,
Page 877 and 878:
(4−5i)(4+5i) (7−2i)(7+2i) (
Page 879 and 880:
i i = −1.
Page 881 and 882:
n ab = n n a · b n n n a · b = a
Page 883 and 884:
3 a 225 b −16 a − 169 b −8
Page 885 and 886:
3 2 a 25 b 9 − 3 2 2 3 c (−64)
Page 887 and 888:
s = A
Page 889:
3 125x 9 169x 8 y 6 3 72x 8 y 4
Page 892 and 893:
32 5 9x 2 − 12x + 4
Page 894 and 895:
3z 2 = 108. 3z 2 = 108 3z 2 3 =
Page 896 and 897:
1 2 x2 + 4 = 24. 3 4 y2 − 3 =
Page 898 and 899:
⎛ ⎝ x − 1 ⎞ 3⎠2 = 5 9 x
Page 900 and 901:
2n +1= ± 16 2n +1= ±4 n 2n =
Page 902:
2r 2 =32 4t 2 =16 (a −4) 2 =28
Page 905 and 906:
1 (6). 2 x 2 + bx
Page 907 and 908:
Find ⎛ ⎝ 1 2 b⎞ ⎠2 . ⎛
Page 909 and 910:
x 2 +4x = −21. ⎛ ⎝ 1 2 (4)
Page 911 and 912:
a 2 + 4a + 9 = 30. b 2 + 8b −
Page 913 and 914:
⎛ ⎝ 1 2 (−4)⎞ ⎠2 =4
Page 915 and 916:
ax 2 + bx + c =0 a
Page 917 and 918:
a m 2 −24m b x 2 −11x c a n 2
Page 919 and 920:
2 − 4ab a = 3 b = −2. 10
Page 921 and 922:
3y 2 − 5y + 2 = 0 4z 2 + 2z
Page 923 and 924:
3m 2 + 12m + 7 = 0 5n 2 + 4n
Page 925 and 926:
x(x + 2) − 5 = 0. 3y ⎛ ⎝y
Page 927 and 928:
2 −4ac 2x 2 +9x −5=0 9 2
Page 929 and 930:
ax 2 = k a(x − h) 2 = k
Page 931 and 932:
4m 2 + m −3=0 4n 2 −9n +5=0 2
Page 933 and 934:
y 4 − y 2 − 20. ⎛ ⎝y
Page 935 and 936:
(x −2) 2 +7(x −2) +12=0. u =
Page 937 and 938:
1 x 3 . x 2 x 3 1 − 5x 3
Page 939:
x 4 −7x 2 +12=0 x 4 −9x 2 +18=
Page 942 and 943:
Consecutive even integers Consecuti
Page 944 and 945:
A = 1 2 bh.
Page 946 and 947:
a, b, c a, b, c
Page 948 and 949:
x ≈ 7.1
Page 950 and 951:
= D = r · t t t = D r
Page 952:
x =12
Page 955 and 956:
f (x) = x 2 2x 2 + 3x − 2 =
Page 957 and 958:
a f (x) =−3x 2 +2x −4 b f (x) =
Page 959 and 960:
− 2a b .
Page 961 and 962:
f (x) = ax 2 + bx + c 0 = ax 2 + bx
Page 963 and 964:
f (x) = ax 2 + bx + c : y-intercept
Page 965:
f (x) =5x 2 + x +4. x =0 f (x)
Page 968 and 969:
f (3) (3, 0). x =0 f (0) x =0
Page 970 and 971:
x =− b 2a x =−2 x =−2. f
Page 972 and 973:
f (x) =0 f (x) =0
Page 974 and 975:
2.5, 0 −0.6, 0 .
Page 976 and 977:
f (x) = x 2 − 8x + 12. f (x) =
Page 978 and 979:
f (x) =x 2 +3 f (x) = x 2 −3 y
Page 980 and 981:
f (x) = x 2 f (x) = x 2 −1
Page 982 and 983:
g(x) = x 2 +2 f (x) = x 2 h(x) =
Page 984 and 985:
f (x) = x 2 f (x) = x 2 − 5
Page 986 and 987:
f (x) = x 2 f (x) = x 2 f
Page 988 and 989:
f (x) = x 2 f(x) =ax 2 f (x)
Page 990 and 991:
x 2 −3 ⎛ ⎝ 1 2 ⎠2 ·2
Page 992 and 993:
f (x) =−2x 2 −4x +2 f (x) =
Page 994 and 995:
a =2 x = h (h, k) f (0) x =
Page 997 and 998:
f(x) =x 2 + k a b
Page 1000 and 1001:
f (x) =a(x−h) 2 +k f (
Page 1002 and 1003:
2x − 3 = 0. 2y 2 + y =15
Page 1005 and 1006:
a x 2 + 2x − 8 < 0 b a x 2
Page 1007 and 1008:
x 2 + 2x − 8 ≥ 0 x 2 − 2x
Page 1009 and 1010:
a ≠0.
Page 1011 and 1012:
a b x 2 +6x +5>0 x 2 +4x −12
Page 1013 and 1014:
a ≠0 x = −b ± b2 −4ac 2a
Page 1015 and 1016:
y-intercept x-intercepts Let x = 0
Page 1017 and 1018:
m 2 +10m − 4 = −13 n 2 −6n +
Page 1019 and 1020:
y = x 2 −2 y =−x 2 +3 a y =
Page 1021 and 1022:
f (x) =3x 2 −12x +7 a f (x) =a(
Page 1023 and 1024:
f (x) = 2x − 3 g(x) = x 2 + 2x
Page 1025 and 1026:
⎛ ⎝f ∘g ⎞ ⎠(x). b ⎛
Page 1027 and 1028:
a {(−3, 27), (−2, 8), (−1, 1)
Page 1030 and 1031:
f {(0, 5), (1, 6), (2, 7), (3
Page 1032 and 1033:
(−5, −3), (−3, −1), (−1,
Page 1034 and 1035:
5x −1 f (x). x +1 5 g(x).
Page 1036 and 1037:
f (x) = 5 2x −3 y f (x) 5 y =
Page 1038 and 1039:
a a b b a a b b {(2, 1), (4, 2
Page 1040 and 1041:
f (x) = 1 x +2 f (x) = 1 x −6 f
Page 1042 and 1043:
f (x) = (−4) x f ⎛ ⎝ 1 1 ⎞
Page 1044 and 1045:
f (x) = ⎛1⎞ x ⎝ 4⎠ . g(x
Page 1046 and 1047:
f (x) = 2 x g(x) = 2 x − 1 .
Page 1048 and 1049:
π e ⎛ ⎝
Page 1050 and 1051:
(x −3)(x +1) =0 x =3, x =−1
Page 1052 and 1053:
5%, a b c
Page 1054 and 1055:
f (x) =2 x f (x) =6 x f (x) = (1.
Page 1056 and 1057:
$5,000 20%
Page 1058 and 1059:
a 2 3 1 =8, b 5 2 = 5, c ⎛ ⎝ 1
Page 1060 and 1061:
a log 5 25, b log 9 3, c log 2 1 1
Page 1062 and 1063:
y 2 y = x x, y −2 2 −2 = 1 2 2
Page 1064 and 1065:
y 1 3y = x x, y −2 ⎛ ⎝ 1 3
Page 1066 and 1067:
y = x.
Page 1068 and 1069:
log 2 (3x −5) =4 2 4 =3x −5
Page 1070 and 1071:
R = log I 1906 earthquake 7.8 = log
Page 1072 and 1073:
log 14 1 16 = x log 13 1 9 = x lo
Page 1074 and 1075:
a a 0 b a 1 . 3 x 2 y.
Page 1076 and 1077:
M >0,N >0,a>0 a≠1, log a (M ·
Page 1078 and 1079:
M >0, a>0, a≠1 p log a M p = p
Page 1080 and 1081:
4 log x 3 2 3y 2 z 4 log x 3 2 3
Page 1082:
log a M y = log a M log a M y =
Page 1085 and 1086:
log 5 ⎛ ⎝ 4x 6 y 4⎞ ⎠ log
Page 1087 and 1088:
x 2 = 16. x 2 − 5x + 6 = 0.
Page 1089 and 1090:
log 3 x + log 3 (x −8) =2 log a
Page 1091 and 1092:
5 x = 11 x x. log5 x = log11
Page 1093:
A = A 0 e kt . k
Page 1096 and 1097:
log 4 64 = 2log 4 x log49 = 2log x
Page 1098 and 1099:
3 x +1 = 81, 3 x +1 = 75.
Page 1100 and 1101:
f (x) = a x : a >1 0
Page 1102 and 1103:
M >0,N >0,a>0 a≠1, log a M N =
Page 1104 and 1105:
a a b b {(−3, 10), (−2, 5),
Page 1106 and 1107:
7 = log 2 128 5 = log100,000 4=ln
Page 1108 and 1109:
$18,000 $30,000
Page 1110 and 1111:
y = log 3 x. log(x 2 −39)=1
Page 1112 and 1113:
x 2 − 12x − 12 = 0.
Page 1114 and 1115:
a 2 + b 2 = c 2 ⎛ ⎝|x 2 −
Page 1116 and 1117:
⎛ x 1 , y 1 ⎞ −5, −4 ⎝
Page 1118 and 1119:
(0, 0). (x − h) 2 + ⎛ ⎝y
Page 1120 and 1121:
(x − h) 2 + ⎛ ⎝y − k ⎞
Page 1122 and 1123:
(2, 3) a b x 2 + y 2 − 6x
Page 1124 and 1125:
(2, 0) (5, 4) (−4, −3) (2, 5
Page 1126 and 1127:
y = −3x 2 + 12x − 12. x 2
Page 1128 and 1129:
−1, x =− b 2a . x =3. x =3.
Page 1130 and 1131:
y = −x 2 + 5x − 6 y = −x
Page 1132 and 1133:
x = ay 2 + by + c x = a y − k
Page 1134 and 1135:
x = y 2 x = −y 2 x =−y
Page 1136 and 1137:
x = a ⎛ ⎝y − k ⎞ ⎠2 + h.
Page 1138 and 1139:
(0, 0). (0, 0) (0, −2) x =
Page 1140 and 1141:
a x = 3y 2 + 6y + 7 b a x =
Page 1143 and 1144:
y =−x 2 +4x −3 y =−x 2 +8x
Page 1145 and 1146:
y = x 2 x = y 2
Page 1147 and 1148:
y = (x − 1) 2 − 2 x 2 −
Page 1149 and 1150:
(a, 0) (−a, 0). (0, b) (0,
Page 1151 and 1152:
x 2 16 + y2 4 =1 (0, 0). 16 > 4
Page 1153 and 1154:
(h, k) (h, k), (x − h) 2 a 2 +
Page 1155 and 1156:
(x − h) 2 a 2 + ⎛ ⎝y − k
Page 1157:
a =40 a 2 = 1600 b (10, 0) c
Page 1161 and 1162:
(x +1) 2 4 + ⎛ ⎝y +6 ⎞ 2 ⎠
Page 1163 and 1164:
a b
Page 1165 and 1166:
⎛ ⎝(−c, 0), (c, 0) ⎞ ⎠
Page 1167 and 1168:
0, 0 x 2 a 2 − y2 b 2 =1 y 2 a 2
Page 1169 and 1170:
4y 2 −16x 2 =64 4y 2 64 − 16
Page 1171 and 1172:
(x − 3)2 25 − ⎛ ⎝y − 1
Page 1173 and 1174:
x 2 - (h, k). (3, −2) a =3
Page 1175 and 1176:
a x 2 + y 2 − 8x − 6y = 0 b 4x
Page 1177 and 1178:
⎛ ⎝y −3 ⎞ 2 ⎠ (x +2)2 x
Page 1179 and 1180:
⎧ x − y =−2 ⎨ ⎩y = x 2 .
Page 1181 and 1182:
(x −2) 2 + ⎛ ⎝y +3 ⎞ ⎠2 =
Page 1183 and 1184:
(0, −3) 9x 2 + y 2 = 9 y = 3x −
Page 1185 and 1186:
x 2 , −1. x 2 . y =0 y =
Page 1187 and 1188:
⎛ ⎝−2, 3 ⎞ ⎠, ⎛ ⎝2,
Page 1189 and 1190:
y 2
Page 1191 and 1192:
⎧ ⎨ x2 + y 2 =16 ⎩x 2 − y
Page 1193 and 1194:
(x 1 , y 1 ) (x 2 , y 2 ) d = (x
Page 1195 and 1196:
x = ay 2 + by + c x = a y − k
Page 1197 and 1198:
0, 0 x 2 a 2 − y2 b 2 =1 y 2 a 2
Page 1199 and 1200:
(1, −4) (5, −5) (−2, −6
Page 1201 and 1202:
25x 2 +4y 2 + 150x + 125 = 0 4x 2
Page 1203 and 1204:
(−4, −3) (−10, −11) (6, 8
Page 1205 and 1206:
2n + 3 (−1) n
Page 1207 and 1208:
n a n a n 2·1 2 2·2 4 2·3 6
Page 1209 and 1210:
3, 6, 9, 12, 15, … 5, 10, 15,
Page 1211 and 1212:
(n +1)! a n = (n −1)! . a n =
Page 1213 and 1214:
3 ∑ 2 k ! . k = 0 3 ∑ 3 k !
Page 1215 and 1216:
a n =2n −7 a n =5n −1 a n =3n
Page 1217 and 1218:
3−6+9−12+15 −5+10−15+20−
Page 1219 and 1220:
c 10, 3, −4, −11, −18, −25,
Page 1221 and 1222:
a 15 , a 1 = 3 and d =6. a n = a
Page 1223 and 1224:
a 5 a 11 , n = 11. n =5 a 5 =19
Page 1225 and 1226:
a n =3n −4. S n = n 2 (
Page 1227 and 1228:
4, 12, 20, 28, 36, 44, … −7,
Page 1229 and 1230:
n 24 32 . ⎛ ⎞ 4 ⎠
Page 1231 and 1232:
a −150, −30, −15, −5, − 5
Page 1233 and 1234:
a 1 =3 3, 6, 12, 24, 48, 96, … 6
Page 1235 and 1236:
15 ∑ 2(3) i . i =1 S n
Page 1237 and 1238:
= 18 54 r = 6 18 … r = 1 3 a 1 .
Page 1239 and 1240:
S = a 1 1−r a 1 = 1,000 r = 0.8
Page 1241 and 1242:
P = 100 r = 0.05 n =12 t =
Page 1243 and 1244:
8, 24, 72, 216, 648, 1944, … 7,
Page 1245 and 1246:
a b
Page 1247 and 1248:
(a + b) 1 = a + b a 1 b 1 (a + b)
Page 1249 and 1250:
(x + y) 5 . (p + q) 7 .
Page 1251 and 1252:
⎛ n ⎝r ⎞ ⎠ = n! r !(n − r
Page 1253 and 1254:
(a + b) n = ⎛ n⎞ ⎝0⎠ an +
Page 1255 and 1256:
(r +1)st (r +1)st (r +1)
Page 1257 and 1258:
(x + y) 4 (a + b) 8 (m + n) 10 (
Page 1259 and 1260:
a n − a n −1 ,
Page 1261 and 1262:
⎛n⎞ ⎝1⎠ = n ⎛n⎞ ⎛n⎞
Page 1263 and 1264:
50 30 ∑ (4i −5) ∑ (−3i
Page 1265 and 1266:
(a + b) 9 (x − y) 7 y 4 ⎛
Page 1267:
(m −2n) 5 a ⎛8 ⎞ ⎝1⎠ b
Page 1270 and 1271:
a b a b a b c −10 a 4,
Page 1272 and 1273:
11 1 5 13 3 a 1 5 b 6 5 − 1
Page 1274 and 1275:
a b a b m =2 a =0 u =2 x =
Page 1276 and 1277:
a a a b b b c
Page 1278 and 1279:
a b a b y =5 w = −18 q =3
Page 1280:
a a a b b b c c c a a a b b b
Page 1283 and 1284:
x =2,x = 1 4 x = 3 2 , x =−1 2
Page 1285 and 1286:
10.8 −57, −55 30°, 60°, 9
Page 1287 and 1288:
a b (2, 0), (0, −2) (8, 0)
Page 1289 and 1290:
a b c d a b c 1 4 ,
Page 1291 and 1292:
a 10x +13y ≥ 260 b y
Page 1293 and 1294:
⎡ ⎣−5, 1 ⎤ ⎦. [−4, 2]
Page 1295 and 1296:
(3, 0), (0, 3) (5, 0), (0, −5)
Page 1297 and 1298:
a b c 1.75, $1.75 d
Page 1299 and 1300:
x + y ≥5 3x − y ≤6
Page 1301 and 1302:
a b a b c a b c c
Page 1303 and 1304:
a a a b b a b a a b b D: (
Page 1305 and 1306:
−6 5 2 m = 5 3 ; (0, −6) m
Page 1307 and 1308:
a 20x +15y ≥ 600 b a b a a
Page 1309 and 1310:
y =2x +5 y =− 4 5 x −5 a b
Page 1311 and 1312:
a C(x) =15x + 25, 500 b R(x) =32x c
Page 1313 and 1314:
a ⎧ +20p ≤ 160 ⎨30m ⎩2m +3p
Page 1315 and 1316:
(−2, 0, −3) x = 203 ;y = -25
Page 1317 and 1318:
⎧f ≥0 ⎪p ≥0 a ⎨ ⎪f + p
Page 1319 and 1320:
46 2 3 23 1 3 a b (−3, 2
Page 1321 and 1322:
a −7c 2 b −10y 2 z 3 a 5y 2 +3
Page 1323 and 1324:
12x 2 −5a 6w +19x 2 y a −22b
Page 1325 and 1326:
6r 3 +11r 2 s −8rs 3 4x +3 −5
Page 1327 and 1328:
(2x −3)(4x −1) ⎛ ⎝2y −7
Page 1329 and 1330:
(5w −6) 2 (m +7n) 2 7(b +3)(b
Page 1331 and 1332:
R(x) = 1 3 R(x) = 4(x x −2 x(x
Page 1333 and 1334:
3x(x +7) R(x) = x −7 r +8 m
Page 1335 and 1336:
a ≠ 2 3 x +3 x +4 y ≠0 1 6
Page 1337 and 1338:
a 7 9 b 2 5 c 1 3 2|p| 6p 7 a 3u3
Page 1339 and 1340:
a [2, ∞) b a (−∞,∞) b a
Page 1341 and 1342:
a 44 − 3 11 b 4 32 + 54 4 60 + 2
Page 1343 and 1344:
a (−∞, ∞) b c (−∞,
Page 1345 and 1346:
28 63 52i ⎛ ⎝y 2 +4 ⎞ ⎠
Page 1347 and 1348:
a b a b a x =2;b (2, −7) a
Page 1349 and 1350:
a a b g(x) = (x +2) 2 f (x) =
Page 1351 and 1352:
a (−∞, −4] ∪ [2, ∞) ⎡
Page 1353 and 1354:
a b a b a x =−4 b ⎛ ⎝
Page 1355 and 1356:
a b g(x) = x 2 +4 f (x) = x 2
Page 1357 and 1358:
a f (x) =(x +2) 2 −1 b a f (x) =
Page 1359:
u =−6±3 2 p =0,6 c =− 1 3 ±
Page 1362 and 1363:
w =−2,w =−8 m =1,m = 3 2 y =
Page 1364 and 1365:
a 64 = 4 3 a 27 = 3 3 b 1=x 0 b 1=
Page 1366 and 1367:
x =4 x =−1 x =−1,x =1 x =1
Page 1368 and 1369:
a b −4 a 3 b −1 a b log 5
Page 1370 and 1371:
a 48x −17 b 48x +5 c 48x 2 −10x
Page 1372 and 1373:
a (3, 1) b a (0, 0) b a (0,
Page 1374 and 1375:
y =− 1 20 (x −20)2 +20 y =−
Page 1376 and 1377:
a b (x +1)2 16 − ⎛ ⎝y −2
Page 1378 and 1379:
a (0, 0) b a (0, 0) b a (−
Page 1380 and 1381:
a x = ⎛ ⎝y +2 ⎞2 ⎠ −9 b
Page 1383 and 1384:
a b (x −1)2 4 − ⎛ ⎝y −1
Page 1385 and 1386:
(x −2) 2 + ⎛ ⎝y −2 ⎞ ⎠2
Page 1387 and 1388:
a b (x +1)2 16 − ⎛ ⎝y −3
Page 1389 and 1390:
−1,2,5,8,11 −3, −1, 1, 3, 5
Page 1391 and 1392:
a 11 = 59. a n =5n +4. a 1 = 21,
Page 1394:
3×3
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Intermediate Algebra - 2e, 2017a

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