MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question Write each mixed number as an improper fraction 1) A) 2) 25 C) D) 25 2) 127 B) 27 C) 11 D) 128 11 A) 4) 51 A) 3) B) 1) 3) 103 11 B) 12 11 C) 38 11 D) 102 11 12 16 A) 5) 11 11 B) 109 16 C) D) 27 18 19 A) 6) 20 4) 5) 217 19 B) 227 19 C) 12 D) 29 19 6) A) 35 B) 165 C) 25 D) 300 Change the improper fraction to a whole or mixed number 7) A) 8) B) 7) C) D) 49 A) 8) B) C) 7 D) 9) 66 22 9) A) 10) B) D) 10) B) C) 15 D) 59 10 11) A) 12) C) 90 15 A) 11) 11 10 B) 10 C) 10 D) 10 66 12) A) 22 B) 23 C) 21 D) 22 Write the fraction in lowest terms 13) A) 14) D) 14) 15 B) C) 13 D) 15) 30 49 B) 97 59 C) 60 98 D) 49 30 36 156 A) 17) C) 60 98 A) 16) B) 14 A) 15) 13) 16) 13 B) 13 C) 31 D) 37 157 198 288 A) 17) 199 289 B) 11 16 C) 287 197 D) 16 11 18) 66 750 A) 19) 18) 67 751 B) 749 65 C) 11 125 D) 125 11 380 440 A) 19) 22 19 B) 439 379 C) 127 147 D) 19 22 Solve the problem 20) The fineness (purity) of gold is regulated by law and is the same in all parts of the world The purity is stated in terms of karats 14-kt gold is 14 parts gold and 10 parts alloy Write this measure of purity as a fraction in lowest terms 5 7 A) B) C) D) 12 12 20) Determine if the number is divisible by 2, 3, 4, 5, 6, 8, 9, and/or 10 If it is not divisible by any of these, then answer "None" 21) 30 21) A) 2, 3, 5, 6, 10 B) 2, 3, 5, 10 C) 2, 3, 5, D) None 22) 1368 A) 2, 3, 4, 22) B) 2, 3, 4, 6, 8, C) None D) 2, 3, 6, 23) 181 A) 23) B) 3, C) None D) 3, 24) 2257 A) None B) 3, C) 3, D) 24) Write an equivalent fraction using the given denominator 25) = 24 A) 18 26) C) 12 D) 26) B) 15 C) D) 210 21 = 11 77 A) 77 28) B) 72 = 175 A) 105 27) 25) 27) B) C) 294 D) 147 = 30 A) 28) B) 30 C) 96 D) 48 29) = 28 A) 21 29) B) 42 C) 28 Find the least common denominator for the given set of denominators 30) 84, 378 A) 42 B) 1512 C) 2268 D) 30) D) 756 31) 135, 56, 150 A) 1050 B) 3780 C) 37,800 D) 7560 31) 32) 24, 54, A) 108 B) 72 C) 216 D) 54 33) 112, 96 A) 672 B) 336 C) 1344 D) 224 34) 60, 20, 70 A) 420 B) 210 C) 60 D) 140 35) 7, 14, 21, 36 A) 252 B) 280 C) 259 D) 112 36) 6, 8, 10, 12 A) 108 B) 120 C) 90 D) 60 37) 7, 14, 28, 49 A) 196 B) 147 C) 392 D) 49 32) 33) 34) 35) 36) 37) Add Write the answer in lowest terms 2 38) + 15 A) 39) B) 15 C) D) 41 75 + A) 40) 15 38) 39) 16 27 B) C) D) + 15 10 A) 29 40) B) 11 25 C) 29 30 D) 11 150 41) 5 + A) 42) 41) B) 18 C) D) 27 10 + 11 A) 42) 99 B) 11 20 C) 20 D) Add Write your answer in lowest terms 43) + + A) 44) B) C) 63 D) 13 11 16 26 27 + + 15 10 A) 45) 31 42 43) 67 120 44) B) 420 10 13 C) 58 65 D) 29 3000 25 11 + + 21 A) 23 45) B) 34 1701 C) 47 63 D) 12 46) 46) 15 10 + A) 19 30 B) 30 C) 15 D) 13 15 47) 47) 12 + A) 13 24 B) 1 C) 11 24 D) Subtract Write the answer in lowest terms 48) A) 49) C) D) 54 49) 20 63 B) 63 C) 63 20 D) 20 38 13 50) B) 13 C) 13 38 D) 152 22 25 11 A) 52) 18 19 A) 51) B) A) 50) 18 48) 117 275 51) B) 275 C) 275 117 D) 234 25 15 35 A) 52) B) 1575 C) 105 D) 105 53) 53) - A) 14 B) C) D) 54) 54) - 20 A) 13 20 B) 10 C) D) 20 55) 55) 12 - 16 A) 25 48 B) C) 16 D) 56) 56) - A) 1 B) C) D) Solve the problem 1 57) Ellen is knitting a scarf with one -inch blue stripe, one -inch green stripe, and one 6-inch white stripe How wide is the scarf? A) in B) in 71 17 58) While shopping for a party, June bought C) 17 in 58 D) 11 57) in 1 pounds of hamburger, pounds of chicken, and 58) pounds of ham How much meat did she buy? A) 19 lb 42 59) A laminated lab bench has B) lb 19 C) lb 24 D) 24 lb 221 inches of plywood, inches of pressed board, and inch of 11 formica What is the thickness of the lab bench? 110 A) in B) in 629 C) in D) 79 in 110 59) 60) To obtain a certain shade of paint, Peter mixed gallons of white paint with and gallons of blue paint How much paint did he have? 21 10 A) gal B) gal C) gal 88 52 21 61) Jeff studied math for study? 10 A) hr 163 D) B) 16 hr 10 C) hr 10 D) C) hr 11 D) 64) Jake wants to work C) D) C) hr D) 66) A tank contains B) yd C) 25 yd D) 20 gal gallons of water Its capacity is gallons How much more water is needed to B) gal C) gal 20 D) 65) yd fill it? A) 64) hr 15 yards of fabric on a bolt After a customer bought yards of fabric, how many yards were left? A) yd 63) in 20 hours at his part-time job this week He has already worked hours How many more hours does he need to work? A) hr B) hr 15 65) There were 24 in 62) hr 3 inches long is driven into a board inches thick How much of the nail protrudes from the other side of the board? A) in B) in 20 61) 10 hr 49 hours per week He has already practiced hours How many more hours does he need to practice? A) hr B) hr 11 15 60) gal hours, history for hours, and physics for hours How long did he 62) Peter must practice the piano 63) A nail gallons of brown gal 66) The graph represents the 24-hour day of a small-business owner Sleep Free time Work 24 Eat 12 Travel Worry 67) What fraction of the day is spent in work, worry, and travel? A) B) C) 12 D) 67) 68) How many hours of the day are spent in work, worry, and travel? A) 14 hours B) 16 hours C) 12 hours D) 15 hours 69) What activity takes the most time? How many hours? A) Work, 12 hours B) Work, hours C) Sleep, hours D) Work, 10 hours 70) What fraction of the day is spent in sleeping, eating, and free time? A) B) C) 24 D) 12 71) How many hours of the day are given to free time and eating? A) hours B) hours C) hour D) hours 68) 69) 70) 71) 72) If "worry" is another form of work, what fraction of the day is spent working? A) B) C) D) 3 12 72) 73) How many hours of the day are spent in travel and free time? A) hours B) hours C) hours 73) D) hours 74) What fraction of the day is spent in free time and travel? 1 A) B) C) D) 12 74) Add Write the answer in lowest terms 75) 12 + 11 75) A) 22 14 15 B) 24 14 15 C) 23 14 15 D) 12 14 15 76) 76) 16 + 18 A) 35 B) 16 C) 34 D) 33 77) 77) 9 + A) 13 B) C) 14 D) 14 78) 78) 4 + 7 A) 32 63 B) 12 19 63 C) 10 15 16 D) 48 16 79) 79) 26 + 17 A) 12 B) 21 C) 44 D) 75 80) 80) 17 16 + 14 A) 49 B) 47 C) 48 D) 48 81) 81) 3 10 + A) 14 34 35 B) 15 34 35 C) 14 D) 13 34 35 Subtract Write the answer in lowest terms 82) - 82) A) 3 B) 27 C) 11 D) 18 83) 83) 13 - A) 9 B) 9 C) 15 D) 16 84) 84) 14 - A) 67 B) 53 56 C) 27 56 D) 56 475 85) 85) 36 42 - 30 35 A) B) C) D) 35 86) 86) 10 - 4 A) B) C) D) Solve the problem 87) Ellen is knitting a scarf with one 7-inch blue stripe, one -inch green stripe, and one -inch white stripe How wide is the scarf? 30 13 A) in B) in 361 42 C) 12 in 13 D) 12 in 30 87) 88) While shopping for a party, June bought pounds of hamburger, pounds of chicken, and 88) pounds of ham How much meat did she buy? A) lb B) lb 89) A laminated lab bench has C) 15 90) To obtain a certain shade of paint, Peter mixed A) D) 12 lb 187 inches of plywood, inches of pressed board, and inch of 10 formica What is the thickness of the lab bench? 180 10 A) in B) in 967 23 and lb 12 C) 23 in 33 D) 89) 67 in 180 gallons of white paint with gallons of brown 90) gallons of blue paint How much paint did he have? 17 gal 40 B) 91) Jeff studied math for study? 13 A) hr 40 gal 88 C) D) gal 1 hours, history for hours, and physics for hours How long did he B) 92) Peter must practice the piano hr 77 C) 12 hr D) C) hr 30 D) 94) Jake wants to work C) in D) C) 13 19 hr 20 D) 93) in 3 hours at his part-time job this week He has already worked hours How many more hours does he need to work? 1 A) hr B) hr 10 92) hr 11 1 inches long is driven into a board inches thick How much of the nail protrudes from the other side of the board? 1 A) in B) in 91) hr 13 hours per week He has already practiced hours How many more hours does he need to practice? 23 A) hr B) hr 30 11 93) A nail gal 17 hr 94) 95) There were yards of fabric on a bolt After a customer bought yards of fabric, how many yards were left? A) yd 10 96) A tank contains B) yd C) yd 20 D) 95) yd 1 gallons of water Its capacity is gallons How much more water is needed to 96) fill it? A) gal 20 B) gal C) gal D) 19 gal 20 Perform the operation and reduce to lowest terms 1 97) × A) 98) B) 12 C) D) 2 × 3 A) 99) 11 97) 98) B) C) D) 1 × A) 100) 99) 16 C) 23 28 D) 100) B) 81 C) 27 D) 33 ×7 A) 35 102) 48 ×9 A) 12 101) B) 101) 35 56 B) 46 C) 45 D) 47 ×2 A) 11 102) B) 12 C) 13 14 D) 103) × 13 14 A) 27 104) 103) 105) × 106) 13 14 D) 27 7 104) B) 20 C) D) 105) B) 23 72 C) 24 24 D) 3 2 ×5× 5 A) 151 106) B) C) 15 D) 5 ÷ A) 107) B) 13 C) D) 11 ÷ 12 A) 109) C) 24 × A) 108) × × A) 107) B) 10 33 108) B) C) 11 D) 11 18 ÷1 11 A) 110) B) 22 81 C) 1 10 D) 11 ÷2 10 A) 111) 2 81 109) 19 200 110) B) 19 25 C) D) 4 ÷7 A) 28 111) B) 56 C) 15 15 D) 112) 1 ÷ 21 3 A) 49 113) 23 30 C) 21 D) 64 113) B) 71 90 C) 70 89 D) 114) B) 27 C) 30 D) 29 ÷2 A) 116) 192 ÷ 9 A) 28 115) B) ÷ 10 A) 114) 112) 18 115) B) C) 18 D) 17 ÷5 A) 32 116) B) 64 C) Find the time-and-a-half rate for the regular rate 117) $8 A) $12.00 B) $14.00 118) $17 A) $25.50 64 D) 63 117) C) $11.20 D) $16.00 C) $29.75 D) $23.80 118) B) $34.00 119) $15.50 A) $21.70 119) B) $23.25 C) $31.00 D) $27.13 120) $14.50 A) $29.00 B) $21.75 C) $20.30 D) $25.38 121) $82.00 A) $143.50 B) $114.80 C) $164.00 D) $123.00 120) 121) Solve the problem 122) A small company sells stock for A) 61 dollars dollars per share How much will 56 shares cost? B) 483 dollars C) 56 dollars 16 D) 34 dollars 69 122) 123) How many pieces of string inches long can be cut from a 72 inch piece of string? Round answer to the nearest piece of string A) 234 pieces B) 22 pieces 124) Tim needs to apply C) 55 pieces D) None of these gallons of herbicide per acre of soybeans How many gallons of herbicide are needed for 164 acres? A) 46 gallons B) 574 gallons C) 123 gallons 125) On a certain map, inch equals 24 miles How many miles are in A) 33 miles B) 30 miles 126) A technician has readings that take C) 127) The floor of a rectangular room is to be tiled with C) 600 readings 125) D) 138 miles C) 31 tiles D) 128) 14 B) 25 28 C) 25 D) 56 B) 166 83 C) 500 83 D) 1000 B) 50 C) D) 100 B) 8000 C) 2000 D) 4000 129) 130) 0.03 A) 200 131) 0.00225 A) 400 127) 13 tiles 24 129) 0.166 83 A) 250 126) D) readings foot square tiles along a 10 foot wall How many tiles will be needed along the wall? A) 35 tiles B) 30 tiles Write as a fraction in lowest terms 128) 0.56 14 A) 125 inches? 4 miles 23 124) D) 125 gallons minutes each to read and record How many readings can be completed in 180 minutes? A) 181 readings B) 54 readings 123) 130) 131) 17 Convert the fraction to a decimal If a division does not come out evenly, round the answer to the nearest thousandth 132) 132) A) 0.833 133) C) 8.33 D) 1.2 39 40 A) 0.098 134) B) 0.083 133) B) 9.75 C) 0.975 D) 1.026 73 85 A) 0.086 134) B) 0.859 C) 8.59 D) 1.164 SHORT ANSWER Write the word or phrase that best completes each statement or answers the question Provide an appropriate response 135) In your own words, explain what a fraction means 136) Explain the meaning of Use a pizza in your explanation 135) 136) 137) Explain, in your own words, what is the least common multiple of two numbers 137) 138) Explain why, when rewriting a fraction with a different denominator, the fraction can be multiplied by another fraction whose numerator and denominator are the same 138) 139) Explain what it means to rename a fraction 139) 140) What is wrong if two fractions are added and the result is expressed as a whole number and an improper fraction? 140) 141) Tell what you would if you added the fraction parts of mixed numbers and the result was greater than 141) 142) Is this statement correct or incorrect? Explain 1 =3∙ 4 142) 143) Explain in your own words the steps you would take to divide fractions 143) 18 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) 47) 48) 49) 50) D A D D B B C A C A A A A D A A B C D D A B C A C A D D A D C C A A A B A A C C B A A A C B D B A C 19 Answer Key Testname: UNTITLED2 51) 52) 53) 54) 55) 56) 57) 58) 59) 60) 61) 62) 63) 64) 65) 66) 67) 68) 69) 70) 71) 72) 73) 74) 75) 76) 77) 78) 79) 80) 81) 82) 83) 84) 85) 86) 87) 88) 89) 90) 91) 92) 93) 94) 95) 96) 97) 98) 99) 100) A D A A A C D C D D B A D D D C C D B A A D D C C C C B C D A D A C B B D C D D C B A C C D B C A D 20 Answer Key Testname: UNTITLED2 101) 102) 103) 104) 105) 106) 107) 108) 109) 110) 111) 112) 113) 114) 115) 116) 117) 118) 119) 120) 121) 122) 123) 124) 125) 126) 127) 128) 129) 130) 131) 132) 133) 134) C B A D D D C C B B A D D D C C A A B B D B B B D B C B C D D A C B 135) It is a division a = a ÷ b Divide the whole into b equal parts, and take a of them b 136) Cut a pizza into parts and serve of them 137) Answers will vary The LCM of two whole numbers is the smallest whole number divisible by both those numbers 138) Answers will vary When the numerator and denominator are the same, the fraction is equal to Any number multiplied by is the number itself 139) It means to write an equivalent fraction It can be done by reducing or expanding a fraction 140) Answers will vary The result is hard to understand The result should be given as a mixed number 141) Answers will vary You would carry from the fraction column to the whole number 142) Incorrect A mixed number is an addition, not a multiplication 143) Change any mixed numbers to improper fractions Multiply the dividend by the reciprocal of the divisor Reduce the fractions if possible Multiply across 21 ... practice the piano 63) A nail gallons of brown gal 66) The graph represents the 24-hour day of a small -business owner Sleep Free time Work 24 Eat 12 Travel Worry 67) What fraction of the day is spent... 143) Explain in your own words the steps you would take to divide fractions 143) 18 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)... A A A A D A A B C D D A B C A C A D D A D C C A A A B A A C C B A A A C B D B A C 19 Answer Key Testname: UNTITLED2 51) 52) 53) 54) 55) 56) 57) 58) 59) 60) 61) 62) 63) 64) 65) 66) 67) 68) 69)