Solution Manual for Intermediate Algebra 7th Edition by Tobey Name: Chapter Test 2A For questions 1−12, find the following products (–3)(2)(–8) 3 3(4x – 1) – 5(x + 5) ( 4a )( 3a b2 )2 2 (3p + 5q)(7p – 6q) 11 (3a – 8)(3a + 8) 4c ( 6c3 − 5) (y – 8)(y – 5) ( 10 ( m − 3) m − 7m − ) 12 (3x − 5) For questions 13 and 14, find the following quotients 37 − 13 13 12 (4) (5) − 17 14 (3)(− 2) + For questions 15−22, write each of the following in simplest form with positive exponents only 15 ( m n−6 )−2 17 ( −3x 16 (4a 3b−2 )2 y) –3a – (6a) 18 ( 3a b3 ) Chapter Test 2A 97 19 35m –7m 21 20 n −18 x −3 ( x −6 ) n (x )−5 (x3 )2 y − 12 x −6x y − 24x y 22 16b y ( x−2 ) − 16b + 8b 8b Evaluate each of the following 24 3(−3) − 23 − 3(−8 − 10) ÷ ( −6) 25 Find the value of 5y – 3(z + 2x) ÷ x, for x = –3, y = 2, and z = –2 (−2)3 + 3(−1)4 For questions 26 and 27, write an expression for each of the following and simplify 26 decreased by the product of and –13 27 The product of 2x – and x – added to 4x – 2x – 28 Write each of the following in scientific notation a 840,600,000 b 0.000000078 Evaluate each of the following using scientific notation Leave the answer in standard notation 29 (0.0012)(0.00000026) 30 1100000 0.00000165 100 Instructor’s Resources Manual with Tests, Integrated Arithmatic and Basic Algebra, Fifth Edition Name: Chapter Test 2B For questions 1−12, find the following products (–4)(–2)(5) (−6a b )(7a 4b ) (3x y)(4x y ) (–2) (3) 2(3x – 4) – 5(6x – 8) 4a(5a – 6) (a – 6)(a – 3) 42 y (4xy 2 3 − 2xy − y 3x (2n + 5m)(3n – 7m) ) 11.(4z + 5)(4z – 5) 10 ( ( b − 2) b − 5b − 12 (4x − 3) ) For questions 13−14, find the following quotients 13 15 + 14 (4)(5) − 19 (3)(2) − For questions 15−22, write each of the following in simplest form with positive exponents only 15 ( p q−3 )−3 17 ( −4a y 16 (2x y−1)−3 ) –5x – (3x) 18 ( 3x y3 ) Chapter Test 2B 99 37 19 27x −9x − ( x −3 ) y 21 20 y 73 (x −5 )4 (x2 )3 −8ab 16a b − 24a b − 8ab 22 24a − −2 ( x3 ) 6a + 18a 6a Evaluate each of the following 23 −7 − 3(33 − 11) ÷ (−2) 4(− 3)− 24 (−4) + ( − 2)(−7) 25 Find the value of 5y – 4(z – 2x) ÷ z, for x = –3, y = 2, and z = –2 For questions 26 and 27, write an expression for each of the following and simplify 26 The product of and –6 subtracted from 27 The product of 3x – and x + added to 3x – 4x – 28 Write each of the following in standard notation –6 a 4.08 × 10 b 9.093 × 10 Evaluate each of the following using scientific notation Leave the answer in standard notation 29 (150,000)(0.000000012) 30 0.0000168 1400000 100 Instructor’s Resources Manual with Tests, Integrated Arithmatic and Basic Algebra, Fifth Edition Name: Chapter Test 2C For questions 1−12, find the following products (–4) (–3) (–6)(–7)(2) (−3u 3v )(2u v2 ) 5(2x + 3) – 6(9x + 4) ( 4x y )( 2xy5 )2 4c 5c − 5x y (6xy − 3x 3 ( y−4y ) (4a – 6b)(5a + 2b) 11 (2t + 5)(2t – 5) ) (b – 5)(b – 2) ( 10 ( x − 3) x 12 (7x – 5) − 2x + ) For questions 13−14, find the following quotients 13 12 − 14 (2) (− 7) + 14 (−3)(4) + 15 For questions 15−23, write each of the following in simplest form with positive exponents only 15 (r −3 s −2 ) 16 −3 17 ( −4tx5 )3 (–4y) – 3y −2 (3t u ) 18 ( 2t u ) Chapter Test 2C 101 19 45x −5x 21 20 y 93 (−2 y )−4 (y5 )3 − − ( y −2 ) ( y7 ) y 5 −25t u − 30t u − 10t u −5t 33 22 23 24r − 32r + 16r 8r u Evaluate each of the following 23 −10 – 2(–5 – 7) ÷ (–3) 24 5(−2)2 − (−2) (−3) + 5(2) 25 Find the value of 5c + 3(a – 4b) ÷ b , for a = 2, b = –1, and c = – For questions 26 and 27, write an expression for each of the following and simplify 26 10 increased by the product of – and 27 The product of (2x – 7) and (x + 3) subtracted from 8x – 5x + 28 Write each of the following in standard notation –4 a 2.205 × 10 b 6.28 × 10 Simplify each of the following using scientific notation 29 (0.0000064)(3,090,000) 30 Leave answers in standard notation 180000 0.00036 102 Instructor’s Resources Manual with Tests, Integrated Arithmatic and Basic Algebra, Fifth Edition Name: Chapter Test 2D Circle the letter of the correct answer For questions 1−12, find the following products (–4)(5)(–2) a –40 2 c –20 d –12 e None of these b 72 c 81 d –72 e None of these (–3) (2) a –216 b 40 (5a b )(−7ab6 ) 10 10 a –35a b b –35a b b −22x − 22 16 ( b 30x 3a 4a − 3 4x y y – 21 d 20x + 22 e None of these 10 c 45x 74 y d 15x y e None of these b –9a c –9a 3 d 12a – 21a e None of these (5xy − 3xy − y3 ) 47 d 20x y 44 – 12x y – 20x y 36 b 60x – 5y 10 11 17 c –12x y e None of these (a – 7)(a – 3) 2 a a – 9a – 21 b a – 4a + 21 d a – 7a + 21 e None of these c −22x + 18 ) a 20x e None of these 10 y a 12a b ( 5x y )( 3x y2 )2 a 20x 10 d –35a 2(3x – 1) – 4(7x − 5) a 22x – 18 24 c –35a b c a – 10a + 21 (3n + 5m)(4n – 7m) a 12n –15mn – 35m d 12n – 35m b 12n – mn + 35m e None of these 2 c 12n – mn – 35m Chapter Test 2D 103 10 ( (b − ) b − 3b − ) a b3 –12b – 20 b b – 7b + 7b + 20 d b3 – 11b + 7b + 20 e None of these c b + 7b + 20 11 (3z + 6)(3z – 6) a 9z – 36 b 3z – 36 c 9z + 36 d 3z – 18z – 36 e None of these 12 (5x − 2) 2 a 25x + 20x + c 25x − 20x + b 25x + d 25x – e None of these For questions 13−21, write each of the following in simplest form with positive exponents only −4 13 −2 (3p6q ) a b ( −3a c 9p q q 12 d e None of these 9p 14 –2x – (5x) a 15 12 9p p12 q8 q b −2 b d –3 c e None of these −2 ) 9a a 46 b 9a b c a4 d − 9b b6 a4 e None of these 9b (y − z3 )4 16 ( yz4 )3 a − y b –y c y d 10 y e None of these 104 Instructor’s Resources Manual with Tests, Integrated Arithmatic and Basic Algebra, Fifth Edition Chapter Test 2D −24x 17 44 y 6x y a − c − b 4xy 4y d y x y x e None of these x (−8b )(− 4b5 ) 18 ( )( −2b a − ) 8b b −16b b ( −2x )−6 (x 19 32b d c 2b e None of these 8b 3 ) ( x−4 ) −3 ( x5 )−2 64 a 43 22 −4ab 5 27 2a b 21 d e None of these x x13 − 8ab 2 − 6a b + 3 d 4a b − 6a + 2b c −16a b + 24a b a 4a b 17 64x x13 20 b b –20a b – 8ab e None of these c −4a b − 6a − 2b 10x − 25x + 15x 5x a 3 2x − 5x + x3 d 2x − 5x + b 2x – 5x + 3x 3x e None of these For questions 22−23, evaluate the expressions 22 –8 − 2(–15 – 9) ÷ (–6) a −10 b –4 c –16 c 2x – 5x + 3x d −6 e None of these Chapter Test 2D 105 23 (5) (−6) + 18 (6)(3) − b –11 a 19 24 c 14 d 13.67 e None of these Find the value of 6y – 3(z – 3x) ÷ x, for x = –3, y = 2, and z = –2 b –6 a c d 19 e None of these For questions 25 and 26, write an expression for each of the following and simplify 25 The product of –7 and subtracted from a –9 b –34 c 50 d 34 e None of these 26 The product of 4x – and x + added to 2x – 7x – 2 a 6x – 7x – b 2x + 2x – c 6x – 5x – d 6x + 10x – 18 27 e None of these Write 0000093 in scientific notation –6 a 9.3 × 10 b 9.3 × 10 –8 c 9.3 × 10 d 9.3 × 10 e None of these c 509,000 d 5,090,000 e None of these 28 Write 5.09 × 10 in standard notation a 509 b 5.09 For questions 29 and 30, simplify each of the following using scientific notation Leave the answer in standard notation 29 (0.0024)(45,000,000) a 108,000,000,000 d 10.8 30 b 108,000 e None of these c 1,080,000 b 4,000 c 40,000,000 60000 0015 a .4 d × 10 e None of these 106 Instructor’s Resources Manual with Tests, Integrated Arithmatic and Basic Algebra, Fifth Edition Name: Chapter Test 2E Circle the letter of the correct answer For questions 1−12, find the following products 3(–6)(–4) a –72 c –128 32 c –24x y d –2x y e None of these c 4x + 17 d −4x + e None of these 3(2x + 4) – 5(2x + 1) b −4x + 17 ( 4a 3b )( 2a b3 )3 15 12 a 8a b b 512a ( 2x 3x − 3x y b 10 18 c 32a d 32a b b e None of these ) a 6x – 10 (4x b 6x – 10x 55 55 c 6x – d 6x – 10x e None of these y − 2xy − y 35 a 12x y – 6x y – 3x y 25 d 12x y – 6x y – 3x y e None of these 42 b –24x y a 4x + d (−6x y )( 4xy) b 144 e None of these a –24x y c (–2) (4) a 48 d 72 b 40 ) 29 64 24 b 12x y – 6x y – 3x y 20 10 19 c 3x y 29 e None of these (a – 4)(a – 8) 2 b a – 4a + 32 a a + 12a +32 c a + 4a + 32 d a – 12a + 32 e None of these (2a + 3b)(5a – 4b) 2 a 10a – 7ab –12b 2 b 10a – 12b 2 d 10a + 23ab –12b e None of these c 10a + 7ab –12b Chapter Test 2E 107 10 ( ( y − 3) y −4y−6 ) a y3 – 7y – 18 d y3 + 7y +18 11 b y3 – 7y2 + 6y + 18 c y3 – y2 + 6y – 18 e None of these (4v – 3)(4v + 3) 2 b 16v – 24v – a 16v – c 16v + d 16v + 24v + 12 (5x − 1) e None of these b 25x2+ 5x − e None of these a 25x2 + d 25x2 − 10x − c 25x2 − 10x + For questions 13−21, write each of the following in simplest form with positive exponents only 13 ( 2a a a −7 b −3 ) 21 b 2a c a21 b d 12 b12 e None of these 10 8b 4a 14 –(6y) – 4x b –10 a 10y c d –5 e None of these −2 (2a 15 b ) (−4a −4 b− )−3 a b9 16 b −8b c −1 d −512 2b b c 2t 4t e None of these (4t u5 )2 ( 2tu3 )3 a t u b 2t u d u3 e None of these 108 Instructor’s Resources Manual with Tests, Integrated Arithmatic and Basic Algebra, Fifth Edition Chapter Test 2E 17 35 −12a b 3a b 43 a − b –4a b 10 4a c − d − a b 4b b e None of these a (−10a )(−2a3 ) 18 ( −5a )( 6a4 ) 19 2a a b 3a c −2a d −2 3a e None of these 15 e None of these (−3y )−2 (y3 )5 19 ( y −2 ) −3 ( y4 )−4 y15 a 35 −15b c + 12b c −3bc 48 22 21 18w d 6y c − 6c – 4bc + 6c 15 c 9y + 18bc a 5b c – 4b d −5b c 9y 20 b 22 b 5b c – 4bc − 6c e None of these 2 2 c 5b – 4bc + 6c − 24w + 12w 6w 2 a 3x − + w2 d 18w − 24w + b 3w – 24w + 12w c 3w – + 2w e None of these w2 For questions 22−23, evaluate the following 22 –4 − 2(–17 + 3) ÷ (–7)) a 12 b c d −8 e None of these Chapter Test 2E 109 23 (4) (8) + 10 3(− 2) + a –37 24 b 13.8 c –69 d 59 e None of these Find the value of 3a – 4(b – 3c) ÷ a, for a = –4, b = –3, and c = b – 24 a c –6 d –30 e None of these For questions 25 and 26, write an expression for each of the following and simplify 25 15 decreased by the product of –9 and a –51 b –25 c –31 d 51 e None of these 26 The product of (2x – 5) and (x + 3) increased by 4x – 6x + 2 a 2x + x – 15 b –2x + 7x – 22 c 6x – 5x – d 6x – 7x + 22 27 e None of these Write 00000081 in scientific notation –7 a 81 × 10 –7 –6 b 8.1 × 10 –5 d 8.1 × 10 c 8.1 × 10 e None of these 28 Write 1.86 × 10 in standard notation a 186,000 b 18,600 c 1,860,000 d 1,860 e None of these For questions 29 and 30, simplify each of the following using scientific notation Leave the answer in standard notation 29 (0.000032)(1,400,000) a 448,000,000,000 d 44.8 30 b 4.48 e None of these c 448 b 60 e None of these c 6,000,000,000 960000 00016 a .6 d 22 2b CHAPTER FORM A − 2b + b 23 −3 48 24 –5 144 25 13 26 125 63s t 7x − 28 11 27 6x – 13x + b 28 a 8.046 × 10 36a 24c – 20c 5 10m n – 6m n – 18m n 2 21p + 17pq – 30q –8 29 0.000000000312 30 0.0000000000015 y – 13y + 40 b 7.8 × 10 CHAPTER FORM B 10 m – 10m + 16m + 15 40 11 9a – 64 144 2 14 10 12 9x − 30x + 25 13 –42a b −24x + 32 14 −21 69 48x y 15 20a – 24a 36 34 26 12x y – 6x y – 18x y a – 9a + 18 2 6n + mn – 35m 10 b – 7b + 3b + 14 11 16z – 25 n12 m10 12 16x − 24x + 13 14 16 –4 63 17 –27x y 16 15 18 p12 13 16 –6 27b 19 − 5n m 96 17 –64a y 18 16 72x y 20 x26 24 q 3 21 3x y + 2x + 4xy Copyright © 2013 Pearson Education, Inc 3y 19 − x 286 Instructor’s Resources Manual with Tests, Integrated Arithmatic and Basic Algebra, Fifth Edition 19 b 19 − y 20 x 23 x 21 −2a b + 3ab + b −1+a 22 4a 21 a 16y 22 c 20 20 d 2 21 5t u + 6t u + 2t 23 26 2 22 3r − + 24 r 25 18 26 38 23 −18 24 28 a 25 –38 0.00000408 b 90,930,000 27 6x 30 0.000000000012 28 a CHAPTER FORM C – 4x + 25 2,205,000 b 0.000628 84 –432 77 –6u v −44x − 28 d 29 b CHAPTER FORM E d c c 30 500,000,000 d CHAPTER FORM D d b b 12 26 d 29 19.776 16x y b a d 20c – 24c 53 73 a c 45 30x y – 15x y – 20x y b – 7b + 10 20a – 22ab – 12b c 10 b c 25 c 30 c 26 –44 29 0.0018 24 d 27 a 19 − 27 6x + 6x – 17 23 b d d 10 x – 5x + 10x – 12 c 11 4t – 25 c 2 12 49x – 70x + 25 13 10 b 14 –14 12 c 11 a 11 a 12 c 13 c 14 d 15 d 16 e 17 d r 15 13 d 14 d s10 15 c 16 –2 15 17 –64t x 16 e 17 c 18 82 36t u 18 a 18 d 19 a 20 b 21 a 22 d 23 c 24 d 25 d 26 c 27 b 28 a 29 d 30 c