Test bank and solution of algebra math (2)

Chapter Test Form A Name: Write the following fractions in lowest terms 35 80 375 1000 32 64 Convert the following improper fractions to mixed numbers, and write using lowest terms 19 38 24 50 16 Convert the following mixed numbers to improper fractions 11 21 78 32 13 Find the LCD of each of the following groups of denominators 10 8, 12 10 11 5, 10, 16 11 12 6, 15, 24, 32 12 Solve the following problems 13 + 10 14 47 12 −13 13 14 Copyright © 2015 Pearson Education, Inc 63 64 Fractions – Test Form A 15 13 − 48 16 15 59 16 12 12 ×1 23 16 27 17 34 ÷ 16 17 Solve the following application problems 18 Spence Ferris, a sales representative, drove 12 hours on the first day of his business trip, 34 hours on the second day, 18 23 hours on the third day, and 16 hours on the fourth day If he must drive a total of 30 hours in five days, how many hours must Spence drive on the fifth day? 19 Rod Shuffield owns 63 34 acres of land He sells one-third of the land, 19 of the remaining land will lie unplanted How many acres will Rod plant this year? 20 Anna Granger bought 29 shares of one stock for $8 34 per share and 15 shares of another stock for $6 14 per share 20 How much did she pay altogether? 21 Find the number of decorative bows that can be made from 24 34 yards of ribbon if each bow requires 18 yards of 21 ribbon Convert the following decimals to fractions 22 .725 22 23 .84 23 Convert the following fractions to decimals Round answer to the nearest thousandth 24 17 18 24 25 19 24 25 Copyright © 2015 Pearson Education, Inc Chapter Test Form B Name: Write the following fractions in lowest terms 28 70 36 100 24 1236 Convert the following improper fractions to mixed numbers, and write using lowest terms 55 21 6 80 21 Convert the following mixed numbers to improper fractions 56 32 18 10 94 Find the LCD of each of the following groups of denominators 10 6, 27 10 11 5, 12, 21 11 12 2, 6, 15, 32 12 Solve the following problems 13 + 12 14 27 89 13 −14 13 14 Copyright © 2015 Pearson Education, Inc 65 66 Fractions – Test Form B 15 11 − 29 14 15 73 16 13 ì 52 16 17 12 ữ 43 17 Solve the following application problems 18 Desiree Ramirez is a scuba diver and plans to spend hours underwater during her five day vacation She makes two dives each day On the first day, the duration of her dives was 12 hour and 23 hour; the second day, 34 and 13 hour; the third day, and hour; the fourth day, and 18 hour How long must she spend on the fifth day to achieve her goal? 19 Sam Becker owns 147 14 acres of land in Maine He sells 19 one-fifth of his land and deeds 12 of the remaining land to his grandchildren How much land does Sam still own? 20 Sally McLouth bought pounds of rib eye steak for $7.75 per pound and 12 pounds of lamb chops for $9.25 per 20 pound Find the total cost Round your answer to the nearest cent 21 A party favor requires 78 inches of ribbon How many party favors can be made with 62 inches of ribbon? 21 Convert the following decimals to fractions 22 .3 22 23 .85 23 Convert the following fractions to decimals Round answer to the nearest thousandth 24 19 22 24 11 25 12 25 Copyright © 2015 Pearson Education, Inc Chapter Test Form C Name: Write the following fractions in lowest terms 76 90 28 490 426 840 Convert the following improper fractions to mixed numbers, and write using lowest terms 39 5 63 14 116 28 Convert the following mixed numbers to improper fractions 85 17 53 12 11 Find the LCD of each of the following groups of denominators 10 6, 21 10 11 4, 10, 18 11 12 8, 14, 16, 21 12 Solve the following problems 13 + 15 14 16 16 13 −4 18 14 Copyright © 2015 Pearson Education, Inc 67 68 Fractions – Test Form C 15 13 − 15 12 15 16 23 × 12 16 17 12 12 ÷ 17 Solve the following application problems 18 A concession stand stocks 18 cases of soda for the weekend 13 cases of soda were sold on Friday, 34 on Saturday, and 18 12 on Sunday How many cases remain? 19 Jill Owen owns 271 14 acres of land in Alaska She sells one-fourth of the land and sets aside 53 of the reminder as 19 wilderness area How much remains that is not designated as wilderness? 20 Brad Harrington bought 31 shares of one stock for $9 34 per share and 26 shares of another stock for $11 85 per 20 share How much did he pay altogether? 21 Find the number of cakes that can be made from 25 lb of flour if each cake requires 56 of a pound 21 Convert the following decimals to fractions 22 .22 22 23 .1125 23 Convert the following fractions to decimals Round answer to the nearest thousandth 24 13 24 59 25 120 25 Copyright © 2015 Pearson Education, Inc Chapter Test Form D Name: Write the following fractions in lowest terms 56 60 48 100 281 562 3 Convert the following improper fractions to mixed numbers, and write using lowest terms 35 70 30 124 24 Convert the following mixed numbers to improper fractions 7 74 12 16 34 23 Find the LCD of each of the following groups of denominators 10 14, 20 10 11 10, 15, 20 11 12 8, 9, 15, 16 12 Solve the following problems 13 10 + 15 18 14 12 −2 13 14 Copyright © 2015 Pearson Education, Inc 69 70 Fractions – Test Form D 15 92 14 −11 56 15 16 19 × 23 16 17 52 ÷ 15 17 Solve the following application problems 18 Mari Seni works exactly 40 hours in a 5-day work week She worked 12 hours of Monday, 34 hours on Tuesday, 18 56 hours on Wednesday, and 10 14 hours on Thursday How many hours must Mari work on Friday? 19 Barry Owen owns 146 12 acres of land in Nebraska He sells one-third of the land and donates 10 19 of the remainder for charity How many acres of land does he have left? 20 Kirk Spencer bought 23 shares of one stock for $6 85 per share and 45 shares of another stock for $16 34 per share 20 How much did he pay altogether? Round your answer to the nearest cent 21 Brookhaven College recently carpeted its new offices with 210 square yards of carpet The total cost of the carpet was $6825 What was the cost of the carpet per square yard? 21 Convert the following decimals to fractions 22 .075 22 23 .42 23 Convert the following fractions to decimals Round to the nearest thousandth 24 28 24 41 25 84 25 Copyright © 2015 Pearson Education, Inc Chapter Test Form E Name: For each question, select the letter that corresponds to the correct answer 80 in lowest terms Write 112 (a) (b) 40 56 (c) (d) 10 14 325 in lowest terms Write 1000 (a) 28 250 (b) 13 40 (c) 65 200 (d) 11 100 36 in lowest terms Write 1260 (a) 35 (b) 18 630 (c) 105 (d) 210 Convert 39 to a mixed number Write in lowest terms (a) 74 (b) 75 (c) 54 (d) 54 Convert 116 to a mixed number Write in lowest terms 28 (a) 28 (b) 14 (c) 74 (d) 17 57 to a mixed number Write in lowest terms Convert 18 (a) 13 (b) 18 (c) 16 (d) Convert 95 to an improper fraction (a) 68 (b) 60 (c) 63 (d) 71 Convert 14 56 to an improper fraction (a) 89 (b) 84 (c) 70 Copyright © 2015 Pearson Education, Inc (d) 76 71 72 Fractions – Test Form E Convert 20 34 to an improper fraction (a) 64 (b) 83 (c) 80 (d) 83 10 Find the LCD for 34 and 17 50 (a) 120 (b) 10 (c) 100 (d) 200 , , and 21 11 Find the LCD for 10 18 25 (a) 500 (b) 630 11 (c) 900 (d) 450 12 Find the LCD for 34 , 18 , and 16 21 (a) 336 (b) 168 12 (c) 2016 (d) 4032 Solve the following problems 13 Add: 34 + 85 + 12 (a) 12 13 (b) 11 24 (c) 20 (d) 12 14 Subtract: 89 − 13 (a) 95 14 (b) 94 (c) 23 (d) 12 − 28 15 Subtract: 57 12 (a) 28 34 15 (b) 29 23 (c) 28 56 11 (d) 28 12 16 Multiply: 83 × 89 (a) 92 34 17 Divide: 56 ÷ 12 (a) 16 (b) 17 18 (c) 13 (d) 95 17 (b) 13 (c) 12 (d) 16 Copyright © 2015 Pearson Education, Inc Fractions – Test Form E Solve the following application problems 18 Jack Ennings is a freelancer who works 35 hours a week He worked 12 hours on Monday, 13 hours on Tuesday, 14 hours on Wednesday, and 18 12 hours on Thursday How many hours should Jack work on Friday? (a) 12 (b) 56 (c) 10 16 (d) 23 19 Julie Fleming owns 90 34 acres of land in Arizona She sells one-third of the land and deeds 14 of the reminder to her son How many acres of 19 land does she have left? (a) 15 18 (b) 45 83 (c) 60 12 (d) 16 20 Don Baker bought 36 shares of one stock for $6 34 per share and 45 shares of another stock for $7 14 per share How much did he pay 20 altogether? (a) $303.75 (b) $504.00 (c) $569.25 (d) $630.00 21 A certain fabric costs $5 14 per yard How many yards can you buy for $194.25? (a) 199 (b) 37 (c) 39 (d) 189 22 Convert 06 to a fraction (a) (b) 50 22 (c) 50 (d) 500 23 Convert 615 to a fraction (a) 123 500 (b) 615 10 23 (c) 121 200 (d) 123 200 24 Convert 76 to a decimal Round to the nearest thousandth (a) 1.167 (b) 1.1667 (c) 8571 24 (d) 857 25 Convert 11 to a decimal Round to the nearest thousandth 24 (a) 4583 (b) 2.182 21 (c) 458 (d) 2.1818 Copyright © 2015 Pearson Education, Inc 25 73 Chapter Test Form F Name: For each question, select the letter that corresponds to the correct answer Write 177 in lowest terms 354 (a) 59 118 (b) (c) 177 354 (d) 2 Write 345 in lowest terms 600 (a) 50 (b) 2 (c) 69 120 (d) 23 40 72 in lowest terms Write 192 (a) (b) (c) 24 (d) 19 Convert 33 to a mixed number Write in lowest terms (a) 53 (b) 15 (c) 53 (d) 13 to mixed number Write in lowest terms Convert 258 36 (a) 36 (b) 16 (c) 17 (d) 76 Convert 54 to mixed number Write in lowest terms 24 (a) 14 (b) 12 (c) 12 (d) Convert 17 to an improper fraction (a) (b) 39 7 (c) 40 (d) 43 Convert 34 34 to an improper fraction (a) 136 (b) 139 (c) 106 Copyright © 2015 Pearson Education, Inc (d) 106 75 76 Fractions – Test Form F Convert 14 78 to an improper fraction (a) 112 (b) 121 (c) 115 (d) 119 and 25 10 Find the LCD for 14 26 (a) (b) 364 10 (c) 182 (d) 11 Find the LCD for 56 , 13 , and 24 28 25 (a) 420 (b) 2100 11 (c) 210 (d) 820 , and 12 Find the LCD for 13 , 10 12 (a) 60 (b) 150 12 (c) 30 (d) 300 Solve the following problems 11 13 Add: 56 + 23 + 12 (a) 12 13 (b) 12 (c) 12 (d) 12 14 Subtract: 17 16 − 32 (a) 13 12 14 (b) 13 13 (c) 12 12 (d) 13 13 − 15 Subtract: 12 15 (a) 30 15 (b) 10 (c) 30 (d) 16 Multiply: 17 × 14 (a) 209 35 16 (b) 20 (c) (d) 75 98 17 Divide: 11 14 ÷ (a) 14 23 17 (b) 135 (c) 34 (d) Copyright © 2015 Pearson Education, Inc 15 Fractions – Test Form F Solve the following application problems 18 Lisa Evans has a 30-page term paper due on Monday She wrote 16 pages on Thursday, 13 pages on Friday, and 34 pages on Saturday 18 How many pages must she write on Sunday to complete the assignment? (a) 34 (b) 23 (c) 12 (d) 34 19 Charles Franke is building a bookshelf He has a piece of wood 18 34 feet 19 long He uses four pieces, each 18 feet long, for the shelves, and two pieces, each feet long, for the side supports How much wood is left over? (a) 14 12 feet (b) 13 85 feet (c) 14 feet (d) 14 feet 20 Elza Wilding bought 48 shares of one stock for $15 34 per share and 42 shares of another stock for $11 18 per share How much did she 20 pay altogether? (a) $1001.25 (b) $1223.25 (c) $1128.75 (d) $1417.50 21 A logger is clearing land and cuts down a tree that is 140 feet long He cuts the tree into logs of length 14 feet How many logs can he cut? (a) 175 (b) 35 (c) 112 (d) 560 22 Convert 125 to a fraction (a) 125 1000 (b) 22 (c) (d) 14 23 Convert 36 to a fraction (a) 25 (b) 23 (c) (d) 25 to a decimal Round to the nearest thousandth 24 Convert 17 (a) 4118 (b) 412 (c) 2.429 (b) 5.333 (c) 188 24 (d) 2.4286 to a decimal Round to the nearest thousandth 25 Convert 16 (a) 5.33 21 (d) 1875 Copyright © 2015 Pearson Education, Inc 25 77 ... 14 acres of land in Maine He sells 19 one-fifth of his land and deeds 12 of the remaining land to his grandchildren How much land does Sam still own? 20 Sally McLouth bought pounds of rib eye... (d) 23 19 Julie Fleming owns 90 34 acres of land in Arizona She sells one-third of the land and deeds 14 of the reminder to her son How many acres of 19 land does she have left? (a) 15 18 (b) 45... Friday, 34 on Saturday, and 18 12 on Sunday How many cases remain? 19 Jill Owen owns 271 14 acres of land in Alaska She sells one-fourth of the land and sets aside 53 of the reminder as 19 wilderness