LibraryIntermediate Algebra ContentsPreface1FoundationsIntroduction1.1Use the Language of Algebra1.2Integers1.3Fractions1.4Decimals1.5Properties of Real NumbersChapter ReviewKey TermsKey ConceptsExercisesReview ExercisesPractice Test2Solving Linear EquationsIntroduction2.1Use a General Strategy to Solve Linear Equations2.2Use a Problem Solving Strategy2.3Solve a Formula for a Specific Variable2.4Solve Mixture and Uniform Motion Applications2.5Solve Linear Inequalities3Graphs and FunctionsIntroduction3.1Graph Linear Equations in Two Variables3.2Slope of a Line3.3Find the Equation of a Line3.4Graph Linear Inequalities in Two Variables3.5Relations and Functions4Systems of Linear EquationsIntroduction4.1Solve Systems of Linear Equations with Two Variables4.2Solve Applications with Systems of Equations4.3Solve Mixture Applications with Systems of Equations4.4Solve Systems of Equations with Three Variables4.5Solve Systems of Equations Using Matrices5Polynomials and Polynomial FunctionsIntroduction5.1Add and Subtract Polynomials5.2Properties of Exponents and Scientific Notation5.3Multiply Polynomials5.4Dividing PolynomialsChapter ReviewKey Terms6FactoringIntroduction to Factoring6.1Greatest Common Factor and Factor by Grouping6.2Factor Trinomials6.3Factor Special Products6.4General Strategy for Factoring Polynomials6.5Polynomial EquationsChapter Review7Rational Expressions and FunctionsIntroduction7.1Multiply and Divide Rational Expressions7.2Add and Subtract Rational Expressions7.3Simplify Complex Rational Expressions7.4Solve Rational Equations7.5Solve Applications with Rational Equations8Roots and RadicalsIntroduction8.1Simplify Expressions with Roots8.2Simplify Radical Expressions8.3Simplify Rational Exponents8.4Add, Subtract, and Multiply Radical Expressions8.5Divide Radical Expressions9Quadratic Equations and FunctionsIntroduction9.1Solve Quadratic Equations Using the Square Root Property9.2Solve Quadratic Equations by Completing the Square9.3Solve Quadratic Equations Using the Quadratic Formula9.4Solve Quadratic Equations in Quadratic Form9.5Solve Applications of Quadratic Equations10Exponential and Logarithmic FunctionsIntroduction10.1Finding Composite and Inverse Functions10.2Evaluate and Graph Exponential Functions10.3Evaluate and Graph Logarithmic Functions10.4Use the Properties of Logarithms10.5Solve Exponential and Logarithmic Equations11ConicsIntroduction11.1Distance and Midpoint Formulas; Circles11.2Parabolas11.3Ellipses11.4Hyperbolas11.5Solve Systems of Nonlinear EquationsChapter Review12Sequences, Series and Binomial TheoremIntroduction12.1Sequences12.2Arithmetic Sequences12.3Geometric Sequences and Series12.4Binomial TheoremChapter ReviewKey TermsAnswer KeyChapter 1Chapter 2Chapter 3Chapter 4Chapter 5Chapter 6Chapter 7Chapter 8IndexChapter 1 Try It Show solution1.1 ⓐ yes ⓑ yes ⓒ no ⓓ yesⓔ no Show solution1.2 ⓐ no ⓑ yes ⓒ yes ⓓ noⓔ no Show solution1.3 2 · 2 · 2 · 2 · 5 2 · 2 · 2 · 2 · 5 Show solution1.4 2 · 2 · 3 · 5 2 · 2 · 3 · 5 Show solution1.5 36 36 Show solution1.6 72 72 Show solution1.7 16 Show solution1.8 23 Show solution1.9 86 Show solution1.10 1 Show solution1.11 ⓐ 9 ⓑ 64 ⓒ40 Show solution1.12 ⓐ 216 ⓑ 64 ⓒ 185 Show solution1.13 10 x 2 + 16 x + 17 10 x 2 + 16 x + 17 Show solution1.14 12 y 2 + 9 y + 7 12 y 2 + 9 y + 7 Show solution1.15 ⓐ 14x2−1314x2−13 ⓑ 12x÷212x÷2ⓒ z+13z+13 ⓓ 8x−188x−18 Show solution1.16 ⓐ 17y2+1917y2+19 ⓑ 7y7yⓒ x+11x+11 ⓓ 11a−1411a−14 Show solution1.17 ⓐ 4(p+q)4(p+q) ⓑ 4p+q4p+q Show solution1.18 ⓐ 2x−82x−8 ⓑ 2(x−8)2(x−8) Show solution1.19 w − 7 w − 7 Show solution1.20 l − 6 l − 6 Show solution1.21 4 q − 8 4 q − 8 Show solution1.22 7 n + 3 7 n + 3 Show solution1.23 ⓐ >> ⓑ >> ⓒ <<ⓓ == Show solution1.24 ⓐ >> ⓑ == ⓒ >>ⓓ << Show solution1.25 16 Show solution1.26 9 Show solution1.27 ⓐ −6−6 ⓑ 2 ⓒ −2−2 Show solution1.28 ⓐ −7−7 ⓑ 3 ⓒ −3−3 Show solution1.29 ⓐ 2 ⓑ −2−2 ⓒ −10−10 ⓓ 10 Show solution1.30 ⓐ 3 ⓑ −3−3 ⓒ −11−11 ⓓ 11 Show solution1.31 ⓐ 8,88,8 ⓑ −18,−18, −18−18ⓒ 19,1919,19 ⓓ −4,−4, −4−4 Show solution1.32 ⓐ 8,88,8 ⓑ −22,−22, −22−22ⓒ 23,2323,23 ⓓ 3,33,3 Show solution1.33 3 Show solution1.34 13 Show solution1.35 ⓐ 23 ⓑ 60 ⓒ −63−63 ⓓ −9−9 Show solution1.36 ⓐ 39 ⓑ 39 ⓒ −28 ⓓ −7 Show solution1.37 ⓐ 81 ⓑ −81−81 Show solution1.38 ⓐ 49 ⓑ −49−49 Show solution1.39 ⓐ 4 ⓑ 21 Show solution1.40 ⓐ 9 ⓑ 6 Show solution1.41 31 Show solution1.42 67 Show solution1.43 ( 9 + ( −16 ) ) + 4 ; − 3 ( 9 + ( −16 ) ) + 4 ; − 3 Show solution1.44 ( −8 + ( −12 ) ) + 7 ; − 13 ( −8 + ( −12 ) ) + 7 ; − 13 Show solution1.45 The difference in temperatures was 45 degrees Fahrenheit. Show solution1.46 The difference in temperatures was 9 degrees. Show solution1.47 − 23 40 − 23 40 Show solution1.48 − 5 8 − 5 8 Show solution1.49 −33 a −33 a Show solution1.50 −26 b −26 b Show solution1.51 4 15 4 15 Show solution1.52 2 3 2 3 Show solution1.53 3 4 b 3 4 b Show solution1.54 4 q 4 q Show solution1.55 79 60 79 60 Show solution1.56 103 60 103 60 Show solution1.57 ⓐ 27a−323627a−3236 ⓑ 2a32a3 Show solution1.58 ⓐ 24k−53024k−530 ⓑ 2k152k15 Show solution1.59 4 Show solution1.60 2 Show solution1.61 1 90 1 90 Show solution1.62 272 Show solution1.63 2 Show solution1.64 2 7 2 7 Show solution1.65 − 1 2 − 1 2 Show solution1.66 2 3 2 3 Show solution1.67 ⓐ 6.586.58 ⓑ 6.66.6 ⓒ 7 Show solution1.68 ⓐ 15.21815.218 ⓑ 15.2215.22ⓒ 15.215.2 Show solution1.69 ⓐ −16.49−16.49 ⓑ −0.42−0.42 Show solution1.70 ⓐ −23.593−23.593 ⓑ −12.58−12.58 Show solution1.71 −27.4815 −27.4815 Show solution1.72 −87.6148 −87.6148 Show solution1.73 ⓐ 25.8 ⓑ 258 ⓒ 2,580 Show solution1.74 ⓐ 142 ⓑ 1,420 ⓒ 14,200 Show solution1.75 587.3 587.3 Show solution1.76 34.25 34.25 Show solution1.77 ⓐ 117500117500 ⓑ −0.875−0.875 Show solution1.78 ⓐ 31253125 ⓑ −0.375−0.375 Show solution1.79 ⓐ 0.09, 0.87, 0.039 ⓑ 17%, 175%, 8.25% Show solution1.80 ⓐ 0.03, 0.91, 0.083 ⓑ 41%, 225%, 9.25% Show solution1.81 ⓐ 6 ⓑ 13 ⓒ −15−15 Show solution1.82 ⓐ 4 ⓑ 14 ⓒ −10−10 Show solution1.83 ⓐ 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 Show solution1.84 ⓐ 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... Show solution1.85 Show solution1.86 Show solution1.87 ⓐ ⓑ Show solution1.88 ⓐ ⓑ Show solution1.89 32 r + 29 s 32 r + 29 s Show solution1.90 41 m + 6 n 41 m + 6 n Show solution1.91 1 7 15 1 7 15 Show solution1.92 1 2 9 1 2 9 Show solution1.93 −48 a −48 a Show solution1.94 −92 x −92 x Show solution1.95 5 49 5 49 Show solution1.96 11 25 11 25 Show solution1.97 ⓐ 0 ⓑ undefined Show solution1.98 ⓐ 0 ⓑ undefined Show solution1.99 4 x + 8 4 x + 8 Show solution1.100 6 x + 42 6 x + 42 Show solution1.101 5 y + 3 5 y + 3 Show solution1.102 4 n + 9 4 n + 9 Show solution1.103 70 + 15 p 70 + 15 p Show solution1.104 4 + 35 d 4 + 35 d Show solution1.105 −10 + 15 a −10 + 15 a Show solution1.106 −56 + 105 y −56 + 105 y Show solution1.107 − z + 11 − z + 11 Show solution1.108 − x + 4 − x + 4 Show solution1.109 3 − 3 x 3 − 3 x Show solution1.110 2 x − 20 2 x − 20 Show solution1.111 5 x − 66 5 x − 66 Show solution1.112 7 x − 13 7 x − 13 Section 1.1 Exercises Show solution1. Divisible by 2, 3, 6 Show solution3. Divisible by 2 Show solution5. Divisible by 3, 5 Show solution7. 2 · 43 2 · 43 Show solution9. 5 · 7 · 13 5 · 7 · 13 Show solution11. 2 · 2 · 2 · 2 · 3 · 3 · 3 2 · 2 · 2 · 2 · 3 · 3 · 3 Show solution13. 24 Show solution15. 420 Show solution17. 440 Show solution19. 5 Show solution21. 58 Show solution23. 29 Show solution25. 149 Show solution27. 50 Show solution29. 5 Show solution31. ⓐ 64 ⓑ 16 ⓒ 7 Show solution33. 21 Show solution35. 9 Show solution37. 10 x + 6 10 x + 6 Show solution39. 22 a + 1 22 a + 1 Show solution41. 17 x 2 + 20 x + 16 17 x 2 + 20 x + 16 Show solution43. ⓐ 5x2−6xy5x2−6xy ⓑ 6y25x6y25xⓒ y2+21y2+21 ⓓ 81x2−6x81x2−6x Show solution45. ⓐ 4ab2+3a2b4ab2+3a2b ⓑ 20xy220xy2ⓒ m+15m+15 ⓓ 121x2−9x121x2−9x Show solution47. ⓐ 8(y−9)8(y−9) ⓑ 8y−98y−9 Show solution49. ⓐ 5(3x+y)5(3x+y) ⓑ 15x+y15x+y Show solution51. 14 > 2 c 14 > 2 c Show solution53. 3 n − 7 3 n − 7 Show solution55. Answers will vary. Show solution57. Answers will vary. Section 1.2 Exercises Show solution59. ⓐ >> ⓑ >> ⓒ >> ⓓ >> Show solution61. ⓐ == ⓑ == ⓒ >> ⓓ == Show solution63. 0 Show solution65. 8 Show solution67. 15 Show solution69. 1 Show solution71. ⓐ −11−11 ⓑ −3−3 ⓒ 33 Show solution73. 32 Show solution75. −22 −22 Show solution77. 29 29 Show solution79. ⓐ 6 ⓑ −6−6 ⓒ −20−20 ⓓ 2020 Show solution81. −59 −59 Show solution83. 22 Show solution85. ⓐ 16 ⓑ16 Show solution87. ⓐ 45 ⓑ45 Show solution89. 0 Show solution91. 4 Show solution93. 6 Show solution95. ⓐ −32−32 ⓑ −65−65 ⓒ −4−4ⓓ 1313 Show solution97. ⓐ −4−4 ⓑ −12−12 ⓒ −39−39ⓓ 1414 Show solution99. ⓐ 6464 ⓑ −64−64 Show solution101. −47 −47 Show solution103. 90 90 Show solution105. 9 9 Show solution107. 41 41 Show solution109. −9 −9 Show solution111. −29 −29 Show solution113. 1 1 Show solution115. −3 −3 Show solution117. 5 5 Show solution119. ⓐ −47−47 ⓑ 1616 Show solution121. 121 121 Show solution123. −56 −56 Show solution125. 6 6 Show solution127. ( 3 + ( −15 ) ) + 7 ; − 5 ( 3 + ( −15 ) ) + 7 ; − 5 Show solution129. ⓐ 10−(−18);2810−(−18);28ⓑ −25−11;−36−25−11;−36 Show solution131. −6 a + b −6 a + b Show solution133. 96 ° 96 ° Show solution135. 21 Show solution137. − $ 28 − $ 28 Show solution139. Answers will vary. Show solution141. Answers will vary. Section 1.3 Exercises Show solution143. − 12 7 − 12 7 Show solution145. 10 21 10 21 Show solution147. 2 x 2 3 y 2 x 2 3 y Show solution149. − 21 a 2 11 b 2 − 21 a 2 11 b 2 Show solution151. 1 3 1 3 Show solution153. − 21 50 − 21 50 Show solution155. 11 30 11 30 Show solution157. 9 n 9 n Show solution159. 33 4 x 33 4 x Show solution161. − 4 9 − 4 9 Show solution163. 10 u 9 v 10 u 9 v Show solution165. − 1 16 − 1 16 Show solution167. − 10 9 − 10 9 Show solution169. − 2 5 − 2 5 Show solution171. 2 m 3 n 2 m 3 n Show solution173. 29 24 29 24 Show solution175. 1 48 1 48 Show solution177. 17 105 17 105 Show solution179. − 53 40 − 53 40 Show solution181. 1 12 1 12 Show solution183. 4 x + 3 12 4 x + 3 12 Show solution185. ⓐ 5656 ⓑ 44 Show solution187. ⓐ 25n1625n16 ⓑ 25n−163025n−1630 Show solution189. ⓐ −8x−1518−8x−1518 ⓑ −10k27−10k27 Show solution191. ⓐ −5(a+1)3−5(a+1)3 ⓑ aa Show solution193. 9 7 9 7 Show solution195. −8 −8 Show solution197. 11 6 11 6 Show solution199. 5 2 5 2 Show solution201. 54 54 Show solution203. 49 25 49 25 Show solution205. 15 4 15 4 Show solution207. 5 21 5 21 Show solution209. 5 4 5 4 Show solution211. 1 24 1 24 Show solution213. −28 − 15 y 60 −28 − 15 y 60 Show solution215. 33 64 33 64 Show solution217. 7 9 7 9 Show solution219. −5 −5 Show solution221. 23 24 23 24 Show solution223. 11 5 11 5 Show solution225. 1 1 Show solution227. 13 3 13 3 Show solution229. ⓐ 1515 ⓑ 6565 Show solution231. − 1 9 − 1 9 Show solution233. − 5 11 − 5 11 Show solution235. Answers will vary. Show solution237. Answers will vary. Section 1.4 Exercises Show solution239. ⓐ 5.78 ⓑ 5.8 ⓒ 6 Show solution241. ⓐ 0.30 ⓑ 0.3 ⓒ 0 Show solution243. ⓐ 63.48 ⓑ 63.5 ⓒ 63 Show solution245. −40.91 −40.91 Show solution247. −7.22 −7.22 Show solution249. −27.5 −27.5 Show solution251. 02.212 02.212 Show solution253. 51.31 51.31 Show solution255. −4.89 −4.89 Show solution257. −11.653 −11.653 Show solution259. 337.8914 337.8914 Show solution261. 1.305 1.305 Show solution263. 92.4 92.4 Show solution265. 2.5 Show solution267. 55200 Show solution269. $ 2.44 $ 2.44 Show solution271. −4.8 −4.8 Show solution273. 2.08 2.08 Show solution275. 1 25 1 25 Show solution277. 19 200 19 200 Show solution279. 0.85 0.85 Show solution281. −12.4 −12.4 Show solution283. 0.71 0.71 Show solution285. 0.393 0.393 Show solution287. 156 % 156 % Show solution289. 6.25 % 6.25 % Show solution291. 8 Show solution293. 12 Show solution295. −10 −10 Show solution297. ⓐ 0,36,90,36,9 ⓑ −8,0,36,9−8,0,36,9 ⓒ −8,0,36,9−8,0,36,9 ⓓ 1.95286...,1.95286..., ⓔ −8,0,1.95286...,125,36,9−8,0,1.95286...,125,36,9 Show solution299. ⓐ none ⓑ −100,−7,−1−100,−7,−1ⓒ −100,−7,−83,−1,0.77,314−100,−7,−83,−1,0.77,314ⓓ noneⓔ −100,−7,−83,−1,0.77,314−100,−7,−83,−1,0.77,314 Show solution301. Show solution303. Show solution305. Show solution307. Show solution309. Answers will vary. Show solution311. Answers will vary. Section 1.5 Exercises Show solution313. 27 m + ( −21 n ) 27 m + ( −21 n ) Show solution315. 5 4 g + 1 2 h 5 4 g + 1 2 h Show solution317. 2.43 p + 8.26 q 2.43 p + 8.26 q Show solution319. −63 −63 Show solution321. 1 5 6 1 5 6 Show solution323. 17 17 Show solution325. 14.88 14.88 Show solution327. 10 p 10 p Show solution329. 44 44 Show solution331. 7 8 7 8 Show solution333. d d Show solution335. 49 11 49 11 Show solution337. 0 Show solution339. undefined Show solution341. undefined Show solution343. 32 y + 72 32 y + 72 Show solution345. 6 c − 78 6 c − 78 Show solution347. 3 4 q + 3 3 4 q + 3 Show solution349. 5 y − 3 5 y − 3 Show solution351. 3 + 8 r 3 + 8 r Show solution353. 36 d + 90 36 d + 90 Show solution355. r s − 18 r r s − 18 r Show solution357. y p + 4 p y p + 4 p Show solution359. −28 p − 7 −28 p − 7 Show solution361. −3 x + 18 −3 x + 18 Show solution363. −3 x + 7 −3 x + 7 Show solution365. −3 y − 8 −3 y − 8 Show solution367. −33 c + 26 −33 c + 26 Show solution369. − a + 19 − a + 19 Show solution371. 4 m − 10 4 m − 10 Show solution373. 72 x − 25 72 x − 25 Show solution375. 22 n + 9 22 n + 9 Show solution377. 6 c + 34 6 c + 34 Show solution379. 12 y + 63 12 y + 63 Show solution381. Answers will vary. Show solution383. Answers will vary. Review Exercises Show solution385. Divisible by 2,3,5,62,3,5,6 Show solution387. 120 Show solution389. 4 Show solution391. 3 Show solution393. 6 x 2 − x + 5 6 x 2 − x + 5 Show solution395. ⓐ 11(y−2)11(y−2) ⓑ 11y−211y−2 Show solution397. ⓐ == ⓑ == ⓒ >> ⓓ == Show solution399. −9 −9 Show solution401. ⓐ 8 ⓑ −8−8 ⓒ −22−22 ⓓ 22 Show solution403. ⓐ 40 ⓑ 40 Show solution405. ⓐ −3−3 ⓑ −15−15 ⓒ −56−56 ⓓ 17 Show solution407. 16 Show solution409. −12 −12 Show solution411. 9 Show solution413. ( −4 + ( −9 ) ) + 23 ; 10 ( −4 + ( −9 ) ) + 23 ; 10 Show solution415. 46 ° 46 ° Show solution417. − 15 x 3 11 y 2 − 15 x 3 11 y 2 Show solution419. 8 x 15 y 8 x 15 y Show solution421. 31 36 31 36 Show solution423. ⓐ 118118 ⓑ 5656 Show solution425. − 1 6 − 1 6 Show solution427. 75 Show solution429. − 1 5 − 1 5 Show solution431. 6.17 6.17 Show solution433. 96.978 96.978 Show solution435. 488.1813 Show solution437. 56.3 56.3 Show solution439. −23 −23 Show solution441. −9.6 −9.6 Show solution443. 1. 27 ¯ 1. 27 ¯ Show solution445. 4.75 % 4.75 % Show solution447. no real number Show solution449. Show solution451. 3 4 x + y 3 4 x + y Show solution453. 1 11 15 1 11 15 Show solution455. 9 17 9 17 Show solution457. undefined Show solution459. 8 b + 10 8 b + 10 Show solution461. x p − 5 p x p − 5 p Show solution463. −6 x − 6 −6 x − 6 Show solution465. y + 16 y + 16 Practice Test Show solution467. 7 n + 7 7 n + 7 Show solution469. −8 − 11 ; − 19 −8 − 11 ; − 19 ( −8 − ( −3 ) ) + 5 ; 0 ( −8 − ( −3 ) ) + 5 ; 0 Show solution471. ⓐ 28.1528.15 ⓑ 28.14628.146 Show solution473. Show solution475. 1 Show solution477. −8 −8 Show solution479. 15 17 15 17 Show solution481. − 5 3 − 5 3 Show solution483. 3 3 Show solution485. − 7 6 − 7 6 Show solution487. −65.4 −65.4 Show solution489. −160 Show solution491. 1 8 13 1 8 13 Show solution493. ⓐ 0 ⓑ undefined Show solution495. 13 y − 3 13 y − 3