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Test Bank For Essentials of College Algebra, 12th Edition

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    CONTENTS CHAPTER TEST FORMS 1 ANSWERS TO CHAPTER TEST FORMS 191 DIAGNOSTIC PRETESTS AND ANSWERS 234 FINAL EXAMS AND ANSWERS 244

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    MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Use set notation, and list all the elements of the set. 1) { 19 , 20 , 21 , . . . , 25 } A) { 19 , 20 , 22 , 24 , 25 } B) { 19 , 21 , 23 , 25 } C) { 19 , 20 , 21 , 22 , 23 , 24 , 25 } D) { 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 } Answer: C 2) 1, 1 3 , 1 9 , . . . , 1 243 A) 1, 1 3 , 1 5 , 1 6 , 1 7 , 1 8 B) 1, 1 3 , 1 9 , 1 27 , 1 729 , 1 19,683 C) 1, 1 3 , 1 9 , 1 27 , 1 243 D) 1, 1 3 , 1 9 , 1 27 , 1 81 , 1 243 Answer: D 3) { 15 , 22 , 29 , . . ., 64 } A) { 15 , 22 , 29 , 36 , 43 , 50 , 57 , 64 } B) { 15 , 22 , 28 , 35 , 42 , 49 , 56 , 63 } C) { 15 , 22 , 29 , 37 , 44 , 51 , 58 , 65 } D) { 15 , 22 , 29 , 36 , 43 } Answer: A 4) { 82 , 77 , 72 , . . ., 32 } A) { 82 , 77 , 72 , 67 , 62 , 57 , 52 , 47 , 42 , 37 , 32 } B) { 82 , 77 , 72 , 66 , 61 , 56 , 51 , 46 , 41 , 36 , 31 } C) { 82 , 77 , 72 , 62 , 52 , 42 , 32 } D) { 82 , 87 , 92 , 97 , 102 , 107 , 112 , 117 , 122 , 127 , 132 } Answer: A 5) The first four natural numbers. A) { 0, 2, 4, 6 } B) { 1, 2, 3, 4 } C) { 0, 1, 2, 3 } D) { 0, 1, 2, 3, 4 } Answer: B 6) The natural numbers between 3 and 5 . A) {3, 5 } B) { 4 } C) { 3, 4, 5 } D) { 0, 1, 2, 3 } Answer: B Identify the set as finite or infinite. 7) { 6 , 7 , 8 , . . ., 11 } A) finite B) infinite Answer: A 8) { 3 , 5 , 7 , . . .} A) finite B) infinite Answer: B 9) 1, 1 3 , 1 9 , 1 27 , . . ., A) infinite B) finite Answer: A 1

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    10) {x|x is a natural number larger than 1 } A) infinite B) finite Answer: A 11) {x|x is a fraction between 0 and 1} A) finite B) infinite Answer: B 12) {x|x is an even natural number} A) finite B) infinite Answer: B 13) {x|x is a person alive now} A) infinite B) finite Answer: B Insert % or ' in the blank to make the statement is true. 14) 10 { 7 , 8 , 9 , 10 } A) ' B) % Answer: B 15) 10 { 6 , 9 , 12 , 10 , 8 } A) % B) ' Answer: A 16) - 9 { 9 , 11 , 13 , 15 } A) % B) ' Answer: B 17) 0 { 7 , 9 , 0, 11 , 10 } A) ' B) % Answer: B 18) 0 { 4 , 5 , 6 , 7 , 8 , 9 } A) ' B) % Answer: A 19) { 9 } { 9 , 10 , 11 , 12 , 13 , 14 } A) % B) ' Answer: B 20) { 10 } { 8 , 10 , 12 , 14 } A) % B) ' Answer: B 21) {0} {0, 4 , 5 , 6 , 7 } A) % B) ' Answer: B 2

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    22) 4 + A) % B) ' Answer: B 23) + + A) ' B) % Answer: A Tell whether the statement is true or false. 24) 6 % { 4 , 5 4 , 6 , 7 } A) True B) False Answer: A 25) 7 % { - 3 , 8 , 9 , 12 } A) True B) False Answer: B 26) 11 ' {0, 9 , 10 , 12 , 14 } A) True B) False Answer: A 27) {0, 8 , 11 , 16 } = { 11 , 8 , 16 , 0} A) True B) False Answer: A 28) { 1 , 6 , 4 , 7 } = { 4 , 1 , 6 } A) True B) False Answer: B 29) {x | x is a natural number greater than 1 } = { 1 , 2 , 3 , . . .} A) True B) False Answer: B 30) Let A = { 9 , 10 , 11 , 12 , 13 , 14 }, B = { 11 , 13 , 15 }, C = { 9 , 10 , 12 , 14 }, D = { 9 , 14 }, and U = { 9 , 10 , 11 , 12 , 13 , 14 , 15 }. A 5 U A) True B) False Answer: A 31) Let A = { 8 , 9 , 10 , 11 , 12 , 13 }, B = { 10 , 12 , 14 }, C = { 8 , 9 , 11 , 13 }, D = { 8 , 13 }, and U = { 8 , 9 , 10 , 11 , 12 , 13 , 14 }. A 5 B A) True B) False Answer: B 32) Let A = { 2 , 3 , 4 , 5 , 6 , 7 }, B = { 4 , 6 , 8 }, C = { 2 , 3 , 5 , 7 }, D = { 2 , 7 }, and U = { 2 , 3 , 4 , 5 , 6 , 7 , 8 }. C 5 A A) True B) False Answer: A 3

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    33) Let A = { 6 , 7 , 8 , 9 , 10 , 11 }, B = { 8 , 10 , 12 }, C = { 6 , 7 , 9 , 11 }, D = { 6 , 11 }, and U = { 6 , 7 , 8 , 9 , 10 , 11 , 12 }. + 5 D A) True B) False Answer: A 34) Let A = { 6 , 7 , 8 , 9 , 10 , 11 }, B = { 8 , 10 , 12 }, C = { 6 , 7 , 9 , 11 }, D = { 6 , 11 }, and U = { 6 , 7 , 8 , 9 , 10 , 11 , 12 }. C 5 + A) True B) False Answer: B 35) Let A = { 2 , 3 , 4 , 5 , 6 , 7 }, B = { 4 , 6 , 8 }, C = { 2 , 3 , 5 , 7 }, D = { 2 , 7 }, and U = { 2 , 3 , 4 , 5 , 6 , 7 , 8 }. { 6 , 8 } 5 B A) True B) False Answer: A 36) Let A = { 5 , 6 , 7 , 8 , 9 , 10 }, B = { 7 , 9 , 11 }, C = { 5 , 6 , 8 , 10 }, D = { 5 , 10 }, and U = { 5 , 6 , 7 , 8 , 9 , 10 , 11 }. {0, 6 , 10 } 5 C A) True B) False Answer: B 37) Let A = { 7 , 8 , 9 , 10 , 11 , 12 }, B = { 9 , 11 , 13 }, C = { 7 , 8 , 10 , 12 }, D = { 7 , 12 }, and U = { 7 , 8 , 9 , 10 , 11 , 12 , 13 }. B * C A) True B) False Answer: A 38) Let A = { 5 , 6 , 7 , 8 , 9 , 10 }, B = { 7 , 9 , 11 }, C = { 5 , 6 , 8 , 10 }, D = { 5 , 10 }, and U = { 5 , 6 , 7 , 8 , 9 , 10 , 11 }. D * C A) True B) False Answer: B 39) Let A = { 1 , 2 , 3 , 4 , 5 , 6 }, B = { 3 , 5 , 7 }, C = { 1 , 2 , 4 , 6 }, D = { 2 , 6 }, and U = { 1 , 2 , 3 , 4 , 5 , 6 , 7 }. U 5 C A) True B) False Answer: B Insert 5 or * in the blank to make the statement true. 40) { 9 , 10 , 11 } {0, 9 , 10 , 11 , 12 , 13 } A) 5 B) * Answer: A 41) { 8 , 12 } { 5 , - 6 , 10 , - 8 , 12 , 7 } A) * B) 5 Answer: A 4

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    42) { 4 , 6 , 9 , 11 } { 4 , 4 , 6 , 7 , 8 , 9 } A) 5 B) * Answer: B 43) { 7 , 8 , 9 , 12 } { 7 , 11 , 9 , 10 , 8 , 12 } A) * B) 5 Answer: B 44) {0, 2 , 4 , 7 } { 2 , 4 , 7 , 8 , 9 , 10 } A) * B) 5 Answer: A 45) + { 6 , 9 , 13 , 0, 10 , 14 } A) 5 B) * Answer: A 46) { - 13 , 8 , - 14 , 0, 12 } + A) 5 B) * Answer: B 47) + + A) 5 B) * Answer: A Tell whether the statement is true or false. 48) { 10 , 13 , 14 , 16 } . { 13 , 14 , 17 , 18 } = { 13 , 14 } A) True B) False Answer: A 49) { 6 , 8 , 9 , 11 } 1 {0, 10 , 8 , 13 , 6 } = { 6 , 8 } A) True B) False Answer: B 50) { 5 , 7 , 8 , 10 } . + = { 5 , 7 , 8 , 10 } A) True B) False Answer: B 51) { 8 , 10 , 11 , 13 } 1 + = { 8 , 10 , 11 , 13 } A) True B) False Answer: A Use these sets to find the following. Identify any disjoint sets. 52) Let U = { 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 }, M = { 5 , 7 , 9 , 11 }, N = { 6 , 8 , 10 , 12 , 14 }, Q = { 5 , 7 , 9 , 11 , 13 , 15 }, and R = { 5 , 6 , 7 , 8 }. M . R A) { 5 , 6 , 7 , 8 } B) { 5 , 7 } C) { 5 , 6 , 7 , 8 , 9 , 11 } D) + ; M and R are disjoint sets. Answer: B 5

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    53) Let U = { 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 }, M = { 4 , 6 , 8 , 10 }, N = { 5 , 7 , 9 , 11 , 13 }, Q = { 4 , 6 , 8 , 10 , 12 , 14 }, and R = { 4 , 5 , 6 , 7 }. M 1 N A) { 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 } B) { 4 , 5 , 6 , 7 , 8 , 9 , 13 } C) + ; M and N are disjoint sets. D) { 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 13 } Answer: D 54) Let U = { 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 }, M = { 2 , 4 , 6 , 8 }, N = { 3 , 5 , 7 , 9 , 11 }, Q = { 2 , 4 , 6 , 8 , 10 , 12 }, and R = { 2 , 3 , 4 , 5 }. M . N A) { 4 , 5 , 6 , 7 , 11 } B) + ; M and N are disjoint sets. C) { 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 } D) { 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 11 } Answer: B 55) Let U = { 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 }, M = { 5 , 7 , 9 , 11 }, N = { 6 , 8 , 10 , 12 , 14 }, Q = { 5 , 7 , 9 , 11 , 13 , 15 }, and R = { 5 , 6 , 7 , 8 }. N' A) { 7 , 9 , 11 , 13 , 15 } B) Q, or { 5 , 7 , 9 , 11 , 13 , 15 } C) M, or { 5 , 7 , 9 , 11 } D) { 6 , 8 , 10 , 12 , 14 } Answer: B 56) Let U = { 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 }, M = { 2 , 4 , 6 , 8 }, N = { 3 , 5 , 7 , 9 , 11 }, Q = { 2 , 4 , 6 , 8 , 10 , 12 }, and R = { 2 , 3 , 4 , 5 }. Q . R' A) { 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 } B) + ; Q and R' are disjoint sets. C) { 4 , 6 , 8 , 10 , 12 } D) { 6 , 8 , 10 , 12 } Answer: D 57) Let U = { 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 }, M = { 3 , 5 , 7 , 9 }, N = { 4 , 6 , 8 , 10 , 12 }, Q = { 3 , 5 , 7 , 9 , 11 , 13 }, and R = { 3 , 4 , 5 , 6 }. + 1 N A) + ; N and + are disjoint sets. B) { 5 , 7 , 9 , 11 , 13 } C) N, or { 4 , 6 , 8 , 10 , 12 }; N and + are disjoint sets. D) { 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 } Answer: C 58) Let U = { 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 }, M = { 5 , 7 , 9 , 11 }, N = { 6 , 8 , 10 , 12 , 14 }, Q = { 5 , 7 , 9 , 11 , 13 , 15 }, and R = { 5 , 6 , 7 , 8 }. (N 1 R) . Q A) { 5 , 7 } B) + ; N and R are disjoint sets. C) { 7 } D) { 5 } Answer: A 6

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    59) Let U = { 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 }, M = { 3 , 5 , 7 , 9 }, N = { 4 , 6 , 8 , 10 , 12 }, Q = { 3 , 5 , 7 , 9 , 11 , 13 }, and R = { 3 , 4 , 5 , 6 }. Q' . (N' . U) A) { 4 , 6 , 8 , 10 , 12 } B) { 3 , 5 , 7 , 9 , 11 , 13 } C) { 4 , 5 , 6 , 7 , 8 , 9 } D) + ; Q' and (N' . U) are disjoint sets. Answer: D 60) Let U = { 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 }, M = { 9 , 11 , 13 , 15 }, N = { 10 , 12 , 14 , 16 , 18 }, Q = { 9 , 11 , 13 , 15 , 17 , 19 }, and R = { 9 , 10 , 11 , 12 }. (R 1 N) . M' A) M, or { 9 , 11 , 13 , 15 } B) + ; M' and (R 1 N) are disjoint sets. C) { 9 , 10 , 12 , 14 , 16 , 18 } D) N, or { 10 , 12 , 14 , 16 , 18 } Answer: D 61) Let U = { 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 }, M = { 7 , 9 , 11 , 13 }, N = { 8 , 10 , 12 , 14 , 16 }, Q = { 7 , 9 , 11 , 13 , 15 , 17 }, and R = { 7 , 8 , 9 , 10 }. (U 1 + ) . R' A) U, or { 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 } B) + ; R' and (U 1 + ) are disjoint sets. C) R, or { 7 , 8 , 9 , 10 } D) { 11 , 12 , 13 , 14 , 15 , 16 , 17 } Answer: D List all the elements of set B that belong to the indicated set. 62) B = 14 , 7 , - 14 , 0, 0 1 , 25 Integers A) 14 , 0 B) 14 , - 14 , 0 C) 14 , - 14 , 0, 0 1 , 25 D) 14 , 0, 25 Answer: C 63) B = 11 , 5 , - 17 , 0, 0 4 , 16 Whole numbers A) 11 , - 17 , 0 B) 11 , 0, 0 4 , 16 C) 11 , 0 D) 11 , - 17 , 0, 16 Answer: B 64) B = 14 , 8 , - 14 , 0, 0 4 , 4 Natural numbers A) 14 , 0, 4 B) 14 , 0, 0 4 C) 14 , 4 D) 14 , 0 Answer: C 7

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    65) B = 5 , 7 , - 16 , 0, 0 8 , 9 , - 5 0 , 0.59 Rational numbers A) 5 , - 16 , 0, 0 8 , 9 , 0.59 B) 7 , 0 8 , 0.59 C) 7 , 9 D) 5 , 0, 9 Answer: A Evaluate the expression. 66) 3 6 A) 729 B) 324 C) 72.9 D) 18 Answer: A 67) - 3 6 A) 18 B) 729 C) - 729 D) - 18 Answer: C 68) ( - 4 ) 3 A) - 64 B) 64 C) 144 D) - 12 Answer: A 69) - 4 · 5 2 A) - 400 B) 400 C) 100 D) - 100 Answer: D 70) - 5 ( - 2 ) 3 A) 40 B) - 1,000 C) - 40 D) 1,000 Answer: A 71) 26 + 28 · 2 + 7 A) 89 B) 63 C) 486 D) 115 Answer: A 72) 11 + 6 2 - ( - 3 ) · 7 A) 308 B) 26 C) 182 D) 68 Answer: D 73) 81 - 8 · 3 + 4 A) 80 B) 61 C) 223 D) 511 Answer: B 74) 92 - 22 · 4 + 224 ÷ ( - 16 ) A) - 997 B) - 19 C) 266 D) - 10 Answer: D 8

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    75) ( - 2 ) 3 - ( - 2 ) 2 A) - 12 B) 4 C) 12 D) - 4 Answer: A 76) ( 9 + ( - 2 ))[ 7 + ( 4 + 8 )] A) 89 B) 26 C) 133 D) 22 Answer: C 77) - 8 [ - 1 + 2 ( - 9 + 3 )] A) 104 B) 44 C) 48 D) - 4 Answer: A 78) ( 9 - 8 2 )( - 8 + 81 ) A) - 4895 B) - 47 C) - 55 D) 73 Answer: C 79) - 3 8 - - 1 4 - 3 2 - 7 8 A) 1 2 B) - 5 4 C) - 3 4 D) 0 Answer: C 80) - 7 · 5 + 3 - ( - 1 + 6 ) - 7 · 8 + 2 A) 61 70 B) 59 54 C) 37 54 D) 37 70 Answer: C Evaluate the expression for x = - 2, y = 3, and a = - 4. 81) - 3 x + 7 y + 5 a A) 7 B) - 43 C) - 7 D) 23 Answer: A 82) - 4 a - 6 y - 3 x A) 8 B) 19 C) 23 D) 4 Answer: D 83) ( - 5 x - 3 y)( - 8 a) A) - 32 B) - 288 C) 32 D) 140 Answer: C 84) 9 x 2 - 4 y - a A) 26 B) 22 C) 25 D) 28 Answer: D 85) x 3 - 7 y + 3 a A) - 28 B) - 37 C) - 41 D) - 25 Answer: C 9

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    86) y + 2 x y - 4 a A) - 1 19 B) - 1 23 C) 0 D) - 3 19 Answer: A 87) 6 y - a 2 x 2 + 9 y A) 4 3 B) 5 2 C) 0 D) 2 Answer: D 88) - (x + 5 ) 2 - 2 y - 2 - a A) 15 2 B) - 15 2 C) - 3 2 D) 35 2 Answer: B 89) 2 x + 2 ( 3 + a) 2 y - 1 A) 19 B) 9 C) - 1 D) 33 Answer: C Identify the property illustrated by the statement. Assume all variables represent real numbers. 90) 6 · 1 = 6 A) Distributive B) Inverse C) Identity D) Closure Answer: C 91) ( 2 + 3 ) + 6 = ( 3 + 2 ) + 6 A) Associative B) Commutative C) Distributive D) Closure Answer: B 92) 8 + 0 = 8 A) Identity B) Inverse C) Closure D) Associative Answer: A 93) 3 (x + 8 ) = 3 x + 24 A) Closure B) Commutative C) Distributive D) Associative Answer: C 94) 4 + ( - 4 ) = 0 A) Inverse B) Closure C) Associative D) Identity Answer: A 10

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    95) 2 + 9 = 9 + 2 A) Identity B) Commutative C) Associative D) Inverse Answer: B 96) 1 (a + 2 ) · (a + 2 ) = 1, if a + 2 J 0 A) Inverse B) Distributive C) Closure D) Identity Answer: A 97) ( 8 · 4 ) · 6 = 8 · ( 4 · 6 ) A) Commutative B) Associative C) Identity D) Distributive Answer: B 98) 6 ǻΔ ) is a real number. A) Identity B) Closure C) Distributive D) Associative Answer: B Write the expression with only positive exponents and evaluate if possible. Assume all variables represent nonzero real numbers. 99) 5 4 ( - 8 y) A) 20 y B) - 10 y C) 10 y D) - 9 y Answer: B 100) 1 3 y ( - 15 ) A) 4 y B) 3 y C) - 5 y D) 5 y Answer: C 101) 5 4 ( 16 y - 16 x + 20 z) A) 20 y - 20 x - 25 z B) 20 y + 20 x + 25 z C) 20 y + 20 x - 25 z D) 20 y - 20 x + 25 z Answer: D 102) 1 5 10 y + 10 3 x - 20 A) 2 y - 2 3 x - 4 B) 2 y + 2 3 x + 4 C) 2 y + 2 3 x - 4 D) 2 y - 2 3 x + 4 Answer: C Use the distributive property to rewrite a sum as a product or the product as a sum. 103) - 11 y + 3 y A) 8 y B) - 8 y C) 14 y D) - 14 y Answer: B 104) 2 - 10 b A) 2 ( 1 - 5 b ) B) 2 ( 1 - 6 b ) C) 12 b D) - 8 b Answer: A 11

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    105) - 4 ( x + k ) A) - 4 x k B) - 4 x + k C) - 4 x + 4 k D) - 4 x - 4 k Answer: D 106) - ( - 3 - 9 b ) A) 3 + 9 b B) - 3 + 9 b C) - 3 - 9 b D) 3 - 9 b Answer: A 107) - ( - 5 y + 8 k ) A) 5 y + 8 k B) - 5 y - 8 k C) 5 y - 8 k D) - 5 y + 8 k Answer: C Decide whether the statement is true or false. If false, correct the statement so it is true. 108) 5 - 10 = 5 - 10 A) True B) False; 5 - 10 = 10 - 5 Answer: B 109) 2 - 8 = 8 - 2 A) True B) False; 2 - 8 = 2 - 8 Answer: A 110) - 12 = - 12 A) True B) False; - 12 = - ( - 12 ) = 12 Answer: B 111) - 3 = 3 A) True B) False; - 3 = - 3 = - 3 Answer: A 112) ( - 4 ) 3 = - ( 4 ) 3 A) True B) False; ( - 4 ) 3 = 4 3 Answer: B 113) - 4 5 = - 4 5 A) True B) False; - 4 5 = 4 - 5 Answer: A 114) - 5 · 10 = - 5 · 10 A) True B) False; - 5 · 10 = - 5 · 10 Answer: A Evaluate the expression. 115) - 12 A) 0 B) ± 12 C) 12 D) - 12 Answer: C 12

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    116) 23 A) - 23 B) 23 C) ± 23 D) 0 Answer: B 117) - 20 A) ± 20 B) - 20 C) 0 D) 20 Answer: B 118) - - 2 A) ± 2 B) - 2 C) 0 D) 2 Answer: B 119) - 1 7 A) 0 B) - 1 7 C) ± 1 7 D) 1 7 Answer: B 120) - - 8 3 A) ± 8 3 B) - 8 3 C) 0 D) 8 3 Answer: B 121) - 8 7 A) 0 B) - 8 7 C) 8 7 D) ± 8 7 Answer: C 122) Let x = - 19 , y = - 18 . Evaluate | 21 x|. A) 399 B) - 342 C) - 399 D) 342 Answer: A 123) Let x = - 8 , y = 5 . Evaluate x + y . A) 13 B) - 13 C) - 3 D) 3 Answer: D 124) Let x = - 8 , y = 4 . Evaluate x + y . A) 12 B) - 4 C) - 12 D) 4 Answer: A 125) Let x = 18 , y = - 6 . Evaluate |y - x|. A) - 24 B) - 12 C) 12 D) 24 Answer: D 13

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    126) Let x = 2 , y = 5 . Evaluate 6x - 7y . A) - 47 B) 23 C) 47 D) - 23 Answer: B 127) Let x = - 9 , y = 13 . Evaluate | 9 y - 2 x|. A) - 99 B) - 135 C) 135 D) 99 Answer: C 128) Let x = 9 , y = - 2 . Evaluate 4 x + 5 y . A) 26 B) - 26 C) 46 D) - 46 Answer: C 129) Let x = - 18 , y = 12 . Evaluate | 4 y - 5 x| - | 4 y|. A) 90 B) 60 C) 84 D) 36 Answer: A 130) Let x = 6 and y = - 3 . Evaluate |x| x + |y| y . A) 0 B) 2 C) - 1 D) 1 Answer: A 131) Let x = 5 , y = - 1 . Evaluate |x + 2 | - | 2 y| | 3 y + 5 x| . A) 9 22 B) 5 22 C) 5 28 D) 1 2 Answer: B Determine which property of absolute value justifies the statement. 132) x L 0 A) Property 5: the triangle inequality B) Property 1: the absolute value of a number is positive or 0. C) Property 1: the absolute value of a number is greater than 0. D) Property 1: the absolute value of a number is positive. Answer: B 133) - x = x A) Property 2: the opposite of the absolute value of a number is equal to the absolute value of the number. B) Property 5: the triangle inequality C) Property 2: the absolute value of a number and its opposite are equal. D) Property 1: the opposite of a number is equal to the absolute value of the number . Answer: C 14

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