College mathematics 9th edition cleaves test bank

MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question 1) By examining the last digit of 3,455 only, which number is it divisible by? A) B) C) D) 1) 2) 6, 9, and 18 are all multiples of which number? A) B) C) 2) D) 972 3) By only examining the last two digits of 6,380, which number is it divisible by? A) B) C) D) 3) 4) Which rule guarantees 927 is divisible by 3? A) The last digit is even and 24 is divisible by B) The last digit is even and the sum of the digits is divisible by C) The last two digits are even D) The sum of the digits is divisible by 4) 5) Which basic arithmetic operation is implied when you use the word "factor"? A) Subtraction B) Addition C) Division D) Multiplication 5) 6) Which rule guarantees 4,150 is divisible by 5? A) At least two of the digits are even B) There are two consecutive digits that are divisible by C) The last three digits form a number divisible by D) The last digit is a zero 6) 7) 140 is divisible by which two numbers? A) and B) and 7) C) and D) 10 and 8) Identify the list that is a list of multiples of 25 A) 25, 50, 75, 140, 175 B) 25, 75, 125, 155, 175 C) 25, 50, 100, 270, 400 D) 25, 50, 75, 100, 125 8) 9) 3, 6, and are multiples of which number? A) B) C) 9) 10) 11) Which of the following numbers is a composite number? A) 61 B) 34 C) 47 Which is a list of the factors of 21? A) 3, 6, 9, 12, 15, 18 C) 1, 2, 3, 6, 9, 18 D) 10) D) 53 11) B) 1, D) 3, 7, 21 2, 4, 6, 8, 10, 12, 14, 16, 18 12) and 30, and 15, and 10, and and are all factor pairs of which number? A) B) 131,056 C) 60 D) 30 12) 13) Which of the following is not a factor of 348? A) 34 B) C) 13) D) 14) Which list contains all the factor pairs of 36? A) 1(36), 2(18), 4(9) B) 1(36), 6(6) C) 1(36), (18), 3(12) , 4(9), 6(6) D) 1(36), (18), 3(12) , 6(6) 14) 15) 15 is not a prime number because A) its factor pairs are × B) it has as a factor C) its factor pairs are × 15, × D) 15 is not divisible by any number except and itself 15) 16) Which of the following is a prime number? A) 55 B) 29 C) 39 16) D) 42 17) List the factor pairs of 36 and write all the factors in order from smallest to largest A) × 36, × 6; 1, 6, 36 B) × 36; 1, 2, 3, 4, 6, 9, 12, 18, 36 C) × 36, × 18, × 12, × 9, × 6; 1, 2, 3, 4, 6, 9, 12, 18, 36 D) × 36, × 12, × 17) 18) Find the prime factorization of 72 A) ∙ ∙ ∙ ∙ ∙ C) ∙ ∙ ∙ ∙ 18) B) ∙ D) ∙ ∙ ∙ 19) Which list contains both even numbers and odd numbers? A) 4, 10, 12, 20, 28 B) 5, 10, 15, 20, 40 C) 6, 30, 40, 50, 60 D) 2, 4, 6, 8, 10 19) 20) Determine the composite number represented by 22(33)(5) A) 180 B) 108 C) 540 20) D) Which number is neither prime nor composite? A) B) C) D) 21) 22) Find the prime factorization of 1,260 A) ∙ ∙ ∙ ∙ C) ∙ ∙ ∙ ∙ ∙ 30 21) 22) B) ∙ ∙ ∙ ∙ 35 D) ∙ ∙ ∙ ∙ ∙ 23) Write the prime factors of 360 in exponential notation A) 2×2×2×3×3×5 B) 23×32×5 C) 2×2×3×3×3×5 23) D) 22×33×5 24) Write the prime factorization of 1,800 using exponential notation A) 2∙2∙2∙3∙3∙5∙5 B) 23∙32∙52 C) 23∙9∙52 D) 18∙100 24) 25) Write the prime factorization of 120, using exponential notation A) 23 (3)(5) B) (2)(2)(3)(5) C) 23 (2)(2)(5) D) 24 (3)(5) 25) 26) Write the prime factorization of 1,800, using exponential notation A) 23 (32)(52) B) 22 (33)(52) C) (32)(102) D) (2)(2)(3)(3)(5)(5) 26) 27) Which is the least common multiple of and 9? A) 54 B) C) 18 27) 28) 29) 30) 31) 32) 33) 34) 35) Which is the least common multiple of and 15? A) 30 B) 60 C) D) 28) D) 15 Find the greatest common factor of and 15 A) 90 B) C) 15 D) Find the greatest common factor of 20 and 28 A) B) C) D) 140 29) 30) Find the least common multiple of 12, 24, and 30 A) B) 12 C) 24 D) 120 Find the greatest common factor of 6, 9, and 10 A) B) C) D) 90 Which is the least common multiple of and 12? A) B) 48 C) 12 Find the greatest common factor of 42, 84, and 210 A) B) 14 C) 42 Which is the least common multiple of 2, 7, and 14? A) 14 B) C) 196 D) none of the above 31) 32) 33) D) 34) D) 21 35) 36) 37) 38) 39) 40) Which is the least common multiple of 12, 18, and 30? A) 180 B) C) 6,480 D) 1,620 Find the greatest common factor of 14, 21, and 35 A) B) 210 C) D) 10,290 Which of the following list of fractions is equivalent to 38) D) ? 10 39) A) 14 35 49 70 , , , , 20 40 50 70 100 B) 7 7 , , , , 20 40 50 70 100 C) 14 28 35 49 70 , , , , 10 10 10 10 10 D) 14 28 35 49 70 , , , , 20 40 50 70 100 Which of the following fractions is equivalent to ? 15 B) 15 20 C) 15 Find the equivalent fraction having the denominator indicated in A) 42) 37) Find the greatest common factor of 26 and 52 A) 676 B) 26 C) 13 A) 41) 36) 12 27 Reduce A) 16 20 B) 27 C) 27 40) D) ? = 27 D) 36 27 16 to lowest terms 20 B) 42) 10 C) D) 43) If each inch of an English rule is divided into 64 units, what part of an inch would be measured by of the units? 3 A) inch B) inches C) inch D) inch 64 44) Reduce A) 24 to lowest terms 36 B) 41) 43) 44) 24 36 C) 12 18 D) 45) Simplify A) B) C) D) 48 96 E) none 46) 45) of the above Write 11 ÷ 25 in fraction form 25 A) B) 11 11 46) C) 25 D) 11 25 SHORT ANSWER Write the word or phrase that best completes each statement or answers the question 47) Use a U.S customary ruler to measure the line below to the nearest eighth of an inch: 47) 48) Use a U.S customary ruler to measure the line below to the nearest fourth of an inch: 48) 49) Use a U.S customary ruler to measure the line below to the nearest sixteenth of an inch: 49) 50) Use a U.S customary ruler to measure the line below to the nearest half inch: 50) 51) Use a U.S customary ruler to measure the line below to the nearest sixteenth of an inch: 51) 52) Use a U.S customary ruler to measure the line below to the nearest fourth of an inch: 52) 53) Use a U.S customary ruler to measure the line below to the nearest sixteenth of an inch: 53) MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question 54) Write a fraction to represent the shaded portion of a given figure A) 55) 56) B) 12 C) Write a fraction to represent out of kittens in a litter A) B) C) 5 Reduce A) 57) 12 0.5 Reduce A) 25 D) 54) 55) D) 50 to lowest terms 100 B) 56) C) 10 D) 10 20 24 to lowest terms 75 B) 57) 25 C) 25 D) 24 50 58) Reduce A) 59) B) 56 64 B) 18 30 B) 28 B) C) 36 90 D) and has a denominator of 56? 35 56 C) 49 56 59) D) 15 56 and has a denominator of 30? 30 Which fraction is equivalent to A) 58) 15 Which fraction is equivalent to A) 61) 72 180 Which fraction is equivalent to A) 60) 72 to lowest terms 180 C) 30 50 60) D) 30 and has a denominator of 28? 16 28 C) 28 49 61) D) 28 62) If each inch on a U.S customary rule is divided into 32 parts, what part of an inch would be indicated by the 5th hash mark in a inch? (Illustrate with a drawing.) 5 inch inch inch inch A) B) C) D) 64 32 16 62) 63) If one inch on a U.S customary rule is divided into 16 parts, what is the length of each part of the inch? 1 inch inch inch A) B) 16 inches C) D) 17 16 63) ESSAY Write your answer in the space provided or on a separate sheet of paper 64) Describe how you can tell if a fraction has been reduced to lowest terms 65) What is the process used to reduce a fraction? MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question 66) Write A) B) 37 as a mixed number 14 14 C) 23 14 D) 14 E) none 67) Which of A) 68) B) C) D) 7 Convert A) 70) Write A) 11 C) 67) 12 D) 90 as a mixed number 35 E) none 69) 11 , 2, , is an improper fraction? 12 B) A) of the above Write 66) 16 68) of the above 69 to a mixed or whole number 16 B) 69) C) 16 D) 16 42 as a whole or mixed number 5 B) 70) C) 8 D) 71) Write A) 72) 13 as a whole or mixed number 13 D) The fraction can be written as Write Write B) 3 C) 12 73) D) 54 as a whole or mixed number in lowest terms 12 B) C) 42 74) D) 12 35 as a whole or mixed number in lowest terms 10 Change B) 25 10 21 C) 10 75) D) 30 to an improper fraction Convert A) 36 15 15 as a whole or mixed number in lowest terms Write A) 72) item represented by the fraction is divided into 36 equal parts D) A) 77) When written as a fraction the fraction is in lowest terms A) 76) C) A) 75) C) The fraction is best described as an improper fraction B) The 74) A denominator of a fraction is 36 and the numerator is 15 Which of the following best describes the fraction? A) 73) B) 71) B) 76) C) 15 D) 17 to an improper fraction B) 77) 31 C) 29 D) 24 78) Change A) 79) B) 31 49 A) 13 C) 12 D) 11 79) 85 C) 32 D) 85 28 to an improper fraction B) Change 78) to an improper fraction B) Change 14 A) 81) 17 Change 28 A) 80) to an improper fraction 80) 59 C) 21 D) 46 to an improper fraction B) 81) 22 C) 11 D) 22 82) Change 0.6 to its fraction or mixed-number equivalent and reduce to lowest terms 60 A) B) C) D) 100 10 82) 83) Change 2.5 to its fractional equivalent and reduce to lowest terms 25 1 A) B) C) D) 100 100 83) 84) The length of a screw is 2.625 in Represent this length as a mixed number 5 in A) in B) in C) in D) 8 8 84) 85) Change A) 9 to a decimal 10 85) B) 0.09 C) 10 0.9 D) 90 189) Divide: A) 15 24 B) 12 C) 24 35 D) 10 ÷ E) none 190) Divide: A) 15 13 B) 17 14 C) 14 17 D) 13 15 E) none 191) 189) of the above ÷2 190) of the above Perform the indicated operation, leaving the answer in lowest terms: A) B) 16 C) D) Perform the indicated operation, leaving the answer in lowest terms: A) 10 B) 10 51 C) 27 27 D) 191) 16 192) ÷ = 1 = 192) 193) If you divide a large fraction by another smaller fraction, the result is a number that is: A) 193) halfway between the two fractions B) larger than either of the fractions C) smaller than either of the fractions D) equal to only one of the fractions 194) You have a board that is 42 inches wide and would like to position smaller boards each inches wide across the big board so that there is no "margin" on either side, but they are equally spaced across the board How much space should be allowed between each of the small boards? A) inches B) inches C) inches D) inches 194) 195) What is the reciprocal of 4.3? 34 A) B) 10 195) 196) C) 10 43 D) Perform the indicated operation, leaving the answer in lowest terms: A) B) 11 21 C) 17 21 D) ÷ = 21 SHORT ANSWER Write the word or phrase that best completes each statement or answers the question 197) Perform the indicated operations and reduce: 28 -3 16 +1 16 = 197) 196) MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question 198) Divide: A) 15 17 B) 13 15 C) 27 34 D) 37 50 E) none ÷3 10 198) of the above SHORT ANSWER Write the word or phrase that best completes each statement or answers the question 199) Perform the indicated operations and reduce: 1 -3 1 -2 = 199) MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question 200) Divide: A) B) C) D) ÷ E) none 201) 200) of the above Which description best describes 12 11 ? 201) Mixed-decimal fraction C) Decimal fraction B) Proper fraction D) Complex fraction A) 29 202) Give the reciprocal of A) 203) 204) C) D) 203) C) D) -9 20 B) C) 20 49 D) 20 B) 20 C) D) B) C) D) 3 B) 4 C) 30 24 D) 206) Divide and reduce answer to lowest terms Convert improper fractions to whole or mixed numbers: 4÷ A) 205) Divide and reduce answer to lowest terms Convert improper fractions to whole or mixed numbers: 6÷ 204) Divide and reduce answer to lowest terms converting improper fractions to whole or mixed numbers: 6÷3 A) 207) Divide and reduce answers to lowest terms, converting improper fractions to whole or mixed numbers: 10 ÷ 21 A) 206) B) - 202) Give the reciprocal of 1 A) B) 9 A) 205) 207) 208) Divide and reduce answer to lowest terms Convert improper fraction to whole or mixed number: 208) A) 209) 10 49 B) C) 10 D) 21 40 Divide and reduce answer to lowest terms Convert improper fractions to whole or mixed number: 209) A) 16 B) 16 C) D) SHORT ANSWER Write the word or phrase that best completes each statement or answers the question 210) Five boards long Allow inches long are cut from a piece of board that is 41 inches 210) inch waste for each cut What was the length of the piece left? MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question 211) Each shelf in a floor-to-ceiling bookshelf needs a strip of molding 32 cut from a length of molding measuring 225 inches 16 211) inches long If the length of the 16 shelf includes the saw cut, how many shelves are in this bookshelf? A) B) C) D) 212) An I-beam measures 14 ft long How many whole this length? A) B) C) 31 ft pieces can be cut from 16 D) 212) 213) Give the reciprocal of A) 214) -5 D) 28 B) 23 B) 12 214) -1 C) -8 D) 215) 23 -4 B) C) Three-fourths of a mile is divided into in the 218) C) -4 23 D) 23 Divide and reduce answer to lowest terms, converting improper fractions to 1 whole or mixed numbers: ÷ A) 217) 28 Give the reciprocal of A) 216) B) Give the reciprocal of A) 215) -5 28 213) segments C) D) 3 mile segments How many sections are B) segments How many 12 217) mile? A) A) C) 216) D) segments segment foot lengths can be cut from a board 18 feet long? B) C) 32 218) D) 219) How many pieces of fabric that are each yards can be cut from a bolt that has 219) 10 yards of fabric? A) 220) pieces B) 16 pieces A stack of books measures 22 C) C) 13 books D) B) 25 C) 40 D) 222) A) 1 84 B) C) D) none of the above 223) -1 A) 221) Use a calculator to perform the calculations: 3 +1 220) 22 books Use a calculator to perform the calculations: 3 +1 5- 223) pieces Use a calculator to divide and reduce answers to lowest terms, converting 12 improper fractions to whole or mixed numbers: 100 A) 222) D) inches high and each book is inch thick How many books are in the stack? A) 36 books B) 14 books 221) pieces B) 129 140 C) 33 87 184 D) 129 148 224) Perform the indicated operation, leaving the answer in lowest terms: A) 225) 44 225 B) C) 15 D) 22 = 224) 16 45 11 Three books measuring , , and are placed into one stack and shrink 15 225) wrapped Use a calculator to find the total thickness of the packaged stack 17 1 13 A) B) C) D) 23 15 15 30 226) Use a calculator to add +2 + Write answer in lowest terms with 12 improper fractions changed to whole or mixed numbers 11 2 A) B) C) 19 227) Use a calculator to multiply and reduce answers to lowest terms: A) 228) 96 C) 48 84 B) C) 11 12 12 16 D) 216 1,680 16 D) B) 20 C) 17 40 D) 35 B) 44 12 C) 34 36 D) 227) 21 228) 70 229) 41 40 Use a calculator to multiply, reduce answer to lowest terms and convert improper fractions to whole or mixed numbers: A) 126 1,728 Use a calculator to multiply, reduce answer to lowest terms and convert improper fractions to whole or mixed numbers: A) 230) B) Use a calculator to multiply and reduce answers to lowest terms: A) 229) 126 D) 226) 43 12 230) 231) Use a calculator to divide and reduce answer to lowest terms, converting improper fractions to whole or mixed numbers: ÷ 32 A) 232) B) 35 265 C) 11 35 D) Use a calculator to divide and reduce answer to lowest terms, converting improper fraction to whole or mixed number: 2 A) 233) 231) 1 B) C) 2 D) 15 Use a calculator with a fraction key to perform the indication operation: 12 A) 90 23 48 B) 84 24 C) 35 90 23 24 D) 232) 84 48 233) Answer Key Testname: UNTITLED2 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12) 13) 14) 15) 16) 17) 18) 19) 20) 21) 22) 23) 24) 25) 26) 27) 28) 29) 30) 31) 32) 33) 34) 35) 36) 37) 38) 39) 40) 41) 42) 43) 44) 45) 46) A C B D D D B D C B B D A C C B C C B C C C B B A A C B B B D B C C A A C B D B A C A D E D in 48) in 47) 36 Answer Key Testname: UNTITLED2 in 16 49) 50) in 51) in 16 52) 3 in 53) in 16 54) 55) 56) 57) 58) 59) 60) 61) 62) 63) B D B B D C A B B C Answers will vary 65) Answers will vary 64) 66) 67) 68) 69) 70) 71) 72) 73) 74) 75) 76) 77) 78) 79) 80) 81) 82) 83) 84) 85) 86) 87) 88) 89) A B A A D B B A A A D B A B B D D C C C D D C C 37 Answer Key Testname: UNTITLED2 90) 91) 92) 93) 94) 95) C B B A B C 96) , , , 12 97) 98) 99) 100) 101) 102) 103) 104) 105) 106) 107) 108) pkgs hotdogs, pkgs buns 109) 110) 111) 112) 113) 114) 115) 116) 117) 118) 119) 120) 121) 122) 123) 124) Answers will vary 125) 126) C B B B C C D D B A A D A B B C C C B D B B C C B C 15 in 16 To add, you need a common denominator 10 19 + = + = or 12 12 12 12 127) D 128) D 129) D 130) Answers 131) D 132) B will vary 38 Answer Key Testname: UNTITLED2 133) 134) 135) 136) B B D C 137) 21 138) B 139) A 31 64 140) 141) 142) 143) 144) C D A A 145) Smallest: 19 21 , Largest: 32 32 146) Smallest: , Largest: 32 32 147) Borrowing is required -1 =2 -1 =1 -1 = 6 6 148) 149) 150) 151) 152) 153) 154) 155) 156) 157) 158) 159) 160) 161) 162) 163) 164) 165) 166) 167) A A C A A D A B A D D C D C B D C B B D 168) 58 169) 100 in in 39 Answer Key Testname: UNTITLED2 170) 20 in 16 171) D 172) A 173) A Answers will vary 175) Answers will vary 176) 174) 177) 64 178) 64 179) 125 180) 181) 21 25 182) 183) 184) 185) 186) 187) 188) 189) 190) 191) 192) 193) 194) 195) 196) D A C D C B C C C B A B A C A 197) 23 55 198) C 199) 200) 201) 202) 203) 204) 205) C D D B B C 40 Answer Key Testname: UNTITLED2 206) 207) 208) 209) B B D A 210) 21 211) 212) 213) 214) 215) 216) 217) 218) 219) 220) 221) 222) 223) 224) 225) 226) 227) 228) 229) 230) 231) 232) 233) C B D D D B A B C A A B B D C B B D B B A C A in left 41 ... common multiple of and 15? A) 30 B) 60 C) D) 28) D) 15 Find the greatest common factor of and 15 A) 90 B) C) 15 D) Find the greatest common factor of 20 and 28 A) B) C) D) 140 29) 30) Find the least... A) B) 12 C) 24 D) 120 Find the greatest common factor of 6, 9, and 10 A) B) C) D) 90 Which is the least common multiple of and 12? A) B) 48 C) 12 Find the greatest common factor of 42, 84, and... Which is the least common multiple of 12, 18, and 30? A) 180 B) C) 6,480 D) 1,620 Find the greatest common factor of 14, 21, and 35 A) B) 210 C) D) 10,290 Which of the following list of fractions