Math 1100 Homework Exercises. Fall Name: Sec:

Transcription

1 Math 1100 Homework Exercises Fall 2018 Name: Sec:

2 Scoring Chart Name: Chapter Scores comments

3 CH 1 Review Name Find the number of terms in the sequence or the sum of the sequence as requested. 1) Find the following sum: Solve the problem. 2) Which is greater, E or P, and by how much? E = P = ) How many different ways can you make change for 75 cents using quarters, dimes, and nickels? 1

4 4) The temperature rose 7 degrees from 10:00 A.M. to noon. By 3:00 P.M. the temperature had doubled. From 3:00 P.M. to 6:00 P.M. the temperature rose 6 degrees to 94 degrees. What was the temperature at 10:00 A.M. that morning? Provide an appropriate response. 5) Use a traditional clock face to determine the next three terms in the following sequence: 1, 11, 9, 7, 5,... Indicate whether the sequence is arithmetic, geometric, or neither. Give the next two terms in the sequence. 6) 10, 35, 60, 85, 110,... 2

5 7) 15, 75, 375, 1875, 9375,... 8) 6, 15, 18, 21, 24,... Find the requested term in the sequence. 9) The 100th term in 8, 13, 18, 23, 28,... 3

6 10) The nth term in 15, 30, 45, 60, 75,... Provide an appropriate response. 11) Following is a sequence of black balls and white balls. How many black balls are needed for the 100th term? 12) The following sequence is made of black circles. How many circles are needed for the 10th figure? The 15th figure? 4

7 Solve the problem. 13) A man earned $ 3000 the first year he worked. If he received a raise of $ 400 at the end of each year, what was his salary during the 15 th year? Find the number of terms in the sequence or the sum of the sequence as requested. 14) Find the sum of the following arithmetic sequence ) Find the number of terms in the following arithmetic sequence. 8, 11, 14, 17,..., 89 5

8 Answer Key Testname: MATH 1100 CH1 REVIEW 1) ) P is greater by 48 3) 18 4) 37 degrees 5) 3, 1, 11 6) Arithmetic; 135; 160 7) Geometric; 46,875; 234,375 8) Neither; 27; 30 9) ) 15n 11) ) 55, ) FALSE 14) 90,576 15) 28 6

9 CH 2 Review Name Determine whether the following is a statement. If it is, then also classify the statement as true or false. 1) 7x + y = 3 A) True statement B) Not a statement C) False statement 2) x + y = x - y, where y = 0 A) True statement B) Not a statement C) False statement 3) 2.4 = 5.2 A) False statement B) Not a statement C) True statement Construct a truth table for the statement. 4) (p w) (~w t) 1

10 Restate in a logically equivalent form. 5) If a number is divisible by 4, then it is divisible by 2. Write the statement indicated. 6) State the contrapositive of the following: If he is happy, then he is smiling. Determine whether the statements are logically equivalent. 7) ~(q p) and q ~p 8) q p and p q 2

11 Write in if-then form. 9) An even number is divisible by two. 10) x = 8 only if 2x + 3 = 19. Write the set as indicated. 11) List the whole numbers between 1 and 5. A) {1, 2, 3, 4, 5} B) {1, 2, 3, 4} C) {2, 3, 4, 5} D) {2, 3, 4} 12) Write {8, 12, 16, 20,... 48} using set-builder notation. A) {x x is a multiple of 4} B) {x x is a multiple of 4 between 4 and 52} C) {x x is a multiple of 4 greater than 8} D) {x x is a multiple of 4 between 8 and 48} Indicate which symbol, or, makes the statement true. 13) 0 14) 3

12 15) 3 {1, 2, 3,..., 10} 16) {3} {1, 2, 3,..., 10} 17) 27 {x x = 3 n and n N} Provide an appropriate response. 18) How many one-to-one correspondences are there between the sets {x, y, z, u, v} and {2, 4, 6, 7, 9} if in each correspondence x must correspond to 7 and z to 6? 4

13 Find n(a) for the set A. 19) A = {x x N and 17 x 25} Rewrite the statement using mathematical symbols. 20) P is the set of even numbers less than 50 and more than 40. Use the Fundamental Counting Principle to solve the problem. 21) A restaurant offers 7 entrees and 11 desserts. In how many ways can a person order a two-course meal? 22) In how many ways can a girl choose a two-piece outfit from 5 blouses and 7 skirts? 5

14 23) How many ways are there to arrange 6 unique CD's in order along a shelf? Solve the problem. 24) Draw a Venn diagram showing the relationship between fish and birds. Determine whether the following is true or false. 25) A A is equal to the universal set U. 26) n(a B) n(a) + n(b) - n(a B) Shade the portion of the diagram that represents the given set. 27) A (B C) 6

15 Use sets to solve the problem. 28) Monticello residents were surveyed concerning their preferences for candidates Moore and Allen in an upcoming election. Of the 800 respondents, 300 support neither Moore nor Allen, 100 support both Moore and Allen, and 250 support only Moore. How many residents support Allen? Find the Cartesian product or cardinal number as requested. 29) A = {4, 3, 8, 7} B = {0, 1} Find B A. 30) n(a) = 21 n(b) = 9 Find n(a B). 7

16 Answer Key Testname: MATH 1100 CH2 REVIEW 1) B 2) A 3) A 4) p w t (p w) (~w t) T T T T T T F F T F T F T F F F F T T F F T F F F F T F F F F F 5) If a number is not divisible by 2, then it is not divisible by 4. 6) If he is not smiling, then he is not happy. 7) Yes 8) No 9) If a number is even, then it is divisible by two. 10) If 2x + 3 = 19, then x = 8. 11) D 12) B 13) 14) 15) 16) 17) 18) 6 19) 9 20) P = {42, 44, 46, 48} 21) 77 22) 35 23) ) 25) True 26) False 8

17 Answer Key Testname: MATH 1100 CH2 REVIEW 27) 28) ) {(0, 4), (0, 3), (0, 8), (0, 7), (1, 4), (1, 3), (1, 8), (1, 7)} 30) 189 9

18 CH 3 Review Name Write the numeral in words. 1) 9,600,937 Solve the problem. 2) Indicate which digit in 5,138,353 has place value hundred thousands. Write the place value of the underlined numeral. 3) 210,152 Write the following as a base-ten numeral. 4) Solve the problem. 5) If n(a) = 40, n(b) = 117 and n(a B) = 137, what do you know about n(a B)? Decide whether or not the set is closed under addition. 6) {2, 4, 6, 8,...} 7) {1, 3, 5, 7,...} Decide which property of addition is illustrated. 8) (1 + 8) + 8 = (8 + 1) + 8 9) (6 + 4) + 1 = 6 + (4 + 1) 1

19 Provide an appropriate response. 10) Jana has 18 stuffed animals. Shawna has 13 stuffed animals. Write a number sentence showing how many more stuffed animals Jana has than Shawna. Rewrite the subtraction problem as an equivalent addition problem. 11) 85 - x = 51 Find the solutions in the set of Whole numbers. 12) 3 + x = x + 3 Find, if possible, the whole number that makes the equation true. 13) 35 = ) = 21 2

20 15) 2 = 0 Decide whether or not the set is closed under multiplication. 16) {1, 3, 5, 7,...} 17) {Whole numbers} State the property that is illustrated. 18) 3(6 5) = (3 6)5 19) 12 0 = 0 20) 2 11 = ) 1(15 11) = ) (4 + 6)(9 + 15) = (4 + 6)9 + (4 + 6)15 3

21 Solve the problem. 23) The teacher distributed 104 books between 19 students and had some left over. If she gave each student the same number of books, then how many were left with her? 24) For every hundred miles that you fly, the airline company gives you 10 points. If you made a trip of 800 miles, then how many points did you earn? Rewrite the problem as a multiplication problem. 25) 476 m = 7 Find the missing numbers. 26) 3 (a) (b) (c) 4

22 Solve the problem. 27) Jane has invited 80 people for a pizza party. If each pizza has 8 slices and she estimates that she needs 2 slices per person, then how many pizzas does she need to order? 28) Jake is doing some chores for his father. He takes 50 minutes to clean the garage, 40 minutes to mow the lawn, and 55 minutes to trim the hedges. How much time, expressed in hours and minutes, did he spend working? Estimate by rounding. 29) A) 6000 B) 4900 C) 4000 D) ) A) 3600 B) 3700 C) 3605 D) 3610 Simplify the following. Leave answer as a power. 31) A) B) C) 8 26 D)

23 32) Fill in the missing numbers. 33) 6 ( ) ( ) 0 5 ( ) ( ) ) 36 a Solve the problem. 35) Jill has to distribute 80 candies between 20 children. If each child gets the same number of candies, how many did each one get? 36) Pamela is hosting a party for which she has to arrange the seating. If she has invited 140 people and has 14 tables, how many people are seated at each table? Estimate by rounding. 37) ) 52,

24 Answer Key Testname: MATH 1100 CH3 REVIEW 1) nine million, six hundred thousand, nine hundred thirty-seven 2) 1 3) Hundred thousands 4) ) n(a B) = 20 6) Closed 7) Not closed 8) Commutative 9) Associative 10) = 5 11) x + 51 = 85 12) all whole numbers 13) 7 14) 3 15) 0 16) Closed 17) Closed 18) associative property of multiplication 19) zero multiplication property 20) commutative property of multiplication 21) identity property of multiplication 22) distributive property of multiplication over addition 23) 9 24) 80 25) 476 = 7 m 26) (a) = 3, (b) = 2, (c) = 8 27) 20 28) 2 hr and 25 min 29) D 30) B 31) C 32) ) 6 (3) (7) 0 5 (7) (1) ) a = 4 35) 4 36) 10 37) 600,000 38) 100 7

25 Math 1100 Ch 4 Review Name Without using a calculator, determine whether the first number is divisible by the second number. 1) Is 22,233 divisible by 2? A) Yes B) No 2) Is 203 divisible by 3? A) Yes B) No 3) Is 952,042 divisible by 4? A) Yes B) No 4) Is 732,275 divisible by 5? A) Yes B) No 5) Is 23,868 divisible by 6? A) Yes B) No 6) Is 839,254 divisible by 9? A) Yes B) No 7) Is 6,703,279 divisible by 11? A) Yes B) No Using divisibility tests, solve the problem. 8) Jason bought a new bike for $678, and he plans to make equal monthly payments to pay for it. Can he pay off the bike in 3 equal payments? A) Yes B) No Solve the problem. 9) In a football game a touchdown is worth 6 points, an extra point is worth 1 point, and a field goal is worth 3 points. Suppose that in a game the only scoring done by teams are touchdowns, extra points and field goals. If a team scored 66 points with 6 touchdowns and 6 extra points, how many field goals were scored? Find the prime factorization. 10)

26 Identify the number as prime, composite, or neither. 11) 45 A) Neither B) Composite C) Prime 12) 31 A) Neither B) Prime C) Composite Provide the appropriate response. 13) What is the greatest prime number you must consider to test whether 3599 is prime? Solve the problem. 14) If a bag of jellybeans has 105 jellybeans, what is the greatest number of bowls that can be filled with 35 jellybeans? Find the GCD or LCM as indicated. 15) Given 56 and 96, find the LCM. 16) Given 60 and 30, find the GCD. 2

27 Find the GCD for the given numbers by an appropriate method. 17) 176 and ) 960 and 1800 Find the LCM for the given numbers by an appropriate method. 19) 168 and ) 60, 40, and 70 Use least common multiple or greatest common divisor to solve the problem. 21) Mark has 153 hot dogs and 171 hamburgers. He wants to put the same number of hot dogs and hamburgers on each tray. What is the greatest number of trays Mark can use to accomplish this? 3

28 22) Planets A, B, and C orbit a certain star once every 2, 5, and 12 months, respectively. If the three planets are now in the same straight line, what is the smallest number of months that must pass before they line up again? 23) A brick layer is hired to build three walls of equal length. He has bricks which are 9 inches, 27 inches, and 15 inches long. He plans to build one wall out of each type of brick. What is the shortest length of wall possible? 24) Three clocks chime every 21 minutes, 39 minutes, and 91 minutes, respectively. If the three clocks chime together, how much time must pass before they will chime together again? 25) George has 336 donuts and 462 bagels. He wants to divide his bagels and donuts into stacks so that there are the same number of pastries in each stack. What is the greatest number of pastries that he can place in each stack? 4

29 Answer Key Testname: MATH 1100 CH 4 REVIEW 1) B 2) B 3) B 4) A 5) A 6) B 7) A 8) A 9) 8 10) ) B 12) B 13) 59 14) 3 15) ) 30 17) 1 18) ) ) ) 9 22) 60 months 23) 135 inches 24) 273 minutes 25) 42 5

30 Math 1100 CH 5 Review Name Simplify. 1) 2 A) 0 B) 2 C) ±2 D) 2 2) 15 A) 0 B) 15 C) ±15 D) 15 Classify the statement as true or false. 3) -16 = 16 A) True B) False 4) 19 - y = y - 19 A) True B) False 5) x 2 = x 2 A) True B) False 6) (-7) 3 = (-7) 3 A) True B) False Add. 7) A) -2 B) 16 C) 2 D) -16 8) A) -13 B) 1 C) 13 D) -1 1

31 9) A) 13 B) -3 C) 3 D) -13 Compute or simplify as much as possible. 10) 2-5 A) - 7 B) 3 C) 7 D) ) A) 7 B) - 21 C) - 7 D) 21 12) ( - 13) - ( - 3) A) 10 B) - 16 C) 16 D) - 10 Perform the indicated computation. 13) [(-9) - (-13)] A) -14 B) 14 C) -6 D) 6 14) (-19-12) - -5 A) 12 B) -12 C) -26 D) 26 2

32 Write as an addition problem and find the sum. 15) Jack's checking account was overdrawn by $95. He deposited $44 into his account. What is the balance in his account? A) -$95 + $44 = -$51 B) $95 + -$44 = -$51 C) $95 + $44 = $139 D) -$95 + -$44 = -$139 16) Jane lost 5 pounds the first week and gained 2 pounds the second week. What was her net gain or loss? A) = 3 pounds B) = 7 pounds C) = - 3 pounds D) = -7 pounds 17) The temperature was 62 degrees in the morning, but it dropped 18 degrees in the afternoon and another 7 degrees in the evening. What was the temperature in the evening? A) = 51 degrees B) = 37 degrees C) = 37 degrees D) = 51 degrees For the arithmetic sequence, find the difference and write the next two terms. 18) 10, 8, 6, 4 A) d = 2, next terms: 0, - 2 B) d = - 2, next terms: 0, - 2 C) d = 2, next terms: 2, 0 D) d = - 2, next terms: 2, 0 Solve the equation for x. 19) - 61 = -x - 1 A) - 60 B) 59 C) - 59 D) 60 3

33 Solve the problem. 20) Ajay averages 20 miles per gallon of gasoline in his car. How far can he travel on 17 gallons of gasoline? 21) Tom earned $35 a week for washing cars. How much has he earned in the last 9 weeks? 22) A grocery store inventory showed a loss of 60 damaged items per month. How many items were damaged in 6 months? 23) Each year, 647 people move from Babbittown. How many people have moved from the town in 10 years? 24) A group of 9 people wants to buy a boat. The boat costs $414. If they all pay the same amount, how much is each person's share? 4

34 30) -2 3 A) - 16 B) 8 C) 4 D) ) The city bridge has 5 lanes, all carrying equal numbers of cars. If 195 cars drive across the bridge, how many cars cross in each lane? Compute. 26) (-2) 3 A) 4 B) 8 C) - 16 D) ) (-1) 4 A) 1 B) - 4 C) 4 D) ) A) 113 B) C) - 1 D) 1 29) A) 88 B) 1 C) - 1 D) ) (-4) 2 A) 31 B) -32 C) 32 D) -31 5

35 32) (-2) 8 (-2) 3 A) - 1 B) -32 C) 32 D) 1 Find the quotient. 33) 72-8 A) -8 B) 9 C) 8 D) -9 34) 63-9 A) 7 B) -7 C) -9 D) 9 35) 0-7 A) undefined B) 7 C) 0 D) -7 36) A) 19 B) -19 C) 0 D) undefined Find all integers x (if possible) that make the statement true. 37) -5x = 10 A) 3 B) 1 C) - 2 D) 2 38) -5x = 0 A) 1 B) -1 C) No solution is possible. D) 0 39) x (-2) = -28 A) - 28 B) - 56 C) 28 D) 56 40) 0 x = 0 A) No solution is possible. B) 0 C) All integers D) All integers except zero. 6

36 41) x 2 = 16 A) 4 B) - 4 C) 5 D) 4, - 4 Evaluate. 42) (-20 5) (-6) A) 24 B) -24 C) -20 D) 20 43) (6 0) (-8 9) A) 0 B) -432 C) undefined D) 7 44) A) 84 B) 20 C) -20 D) ) -36 (3-12) A) 4 B) - 4 C) 7 D) - 9 Find the missing terms in the following arithmetic or geometric sequence. 46), -27, -81, -243, -729, A) -9, B) -2187, C) -9, -729 D) -27, Assume the sequence is arithmetic or geometric, and find its common difference or ratio. 47) -3, -6, -9, -12, -15,... A) d = 1 B) d = -6 C) d = 9 D) d = -3 48) 4, 16, 64, 256, 1024,... A) r = 16 B) r = 4 C) r = 1 D) r = -4 7

37 Answer Key Testname: MATH 1100 CH 5 REVIEW 1) D 2) B 3) A 4) A 5) A 6) B 7) C 8) B 9) D 10) D 11) C 12) D 13) C 14) C 15) A 16) C 17) C 18) D 19) D 20) 340 miles 21) $315 22) 360 items 23) 6470 people 24) $46 25) 39 cars 26) D 27) A 28) C 29) C 30) D 31) C 32) B 33) D 34) B 35) C 36) D 37) C 38) D 39) D 40) D 41) D 42) A 43) A 44) C 45) B 46) A 47) D 48) B 8

38 CH 6 Pracitce Problems Name Provide the proper response. Show all fractions in simplest form. 1) Write a fraction to represent the shaded portion of the figure. A) 5 8 B) 3 8 C) 3 5 D) 5 3 2) Refer to the figure below and represent the indicated amount as a fraction. The dots inside the circle as a part of all the dots. 7 A) B) C) 3 7 D) 3 5 Find the requested fraction. 9 3) 14 = 18? 4) =? 96 1

39 5) Which fraction is equal to 6 8? 6) Which fraction is equal to 6 7? Determine whether the fractions are equal. 7) 1 19 and ) and Write the fraction in simplest form. 9) ) c c 2

40 11) s - u u - s Answer the question. Give your answer in simplest form. 12) A 6-minute egg is cooked for what fraction of an hour? (1 hour = 60 min) 13) Since there are seven days in the week, how many days are in 4 7 of a week? 14) A teacher bought a package of 48 markers for her first-grade class. After one school year, 5 markers were still working. What fraction of the package of markers was working? Express the result using a simple, convenient fraction that is close in value to the exact answer. 15) Mr. Rivera opened a package of 150 drinking cups for his restaurant. During the day, 47 cups were used. What fraction of the package of cups was used? Express the result using a simple, convenient fraction that is close in value to the exact answer. 3

41 16) Jake correctly answered 16 out of 25 questions in Test 1 and 18 out of 25 questions on test 2. On Test 3 he missed 5 out of 27 questions. Which test had the best score? Arrange the fractions in ascending order. Or, if the fractions are equivalent, answer "Equivalent". 17) 1 4, ) 3 4, 7 9, 5 7 Perform the indicated operation. Express your answer in simplest form. 19) ) )

42 22) ) ) Change the following fraction to a mixed number. 25) )

43 Change the following mixed number to a fraction in the form a, where a and b are integers and b 0. b 27) ) A) 20 3 B) 23 3 C) 20 5 D) 23 5 Solve the problem. Express your answer in simplest form. 29) Bill has yards of canvas from which he is cutting strips. He has cut 8 yards already. How much of the 36 canvas is left? 30) Annie must send two packages. One of the packages weighs lb and the other weighs lb What is the total weight of the two packages? 6

44 Find the product. Write your answer in simplest form. 31) ) Divide. Express your answer in simplest form. 33) ) Solve the problem. 35) A land developer wants to develop 9 acres of land. Each lot in the development is to be 3 8 of an acre. How many lots will the land developer have in the 9 acres? 7

45 36) A technician has readings that take 3 1 minutes each to read and record. How many readings can be completed 3 in 240 minutes? 37) The floor of a rectangular room is to be tiled with 1 3 foot square tiles along a foot wall. How many tiles will be needed along the wall? 38) If the ratio of boys to girls in a class is 4:9, what is the ratio of girls to all students in the class? Solve for x in the proportion. 5 39) 40 = 1 5x 8

46 Use a proportion to solve the problem. 40) Under typical conditions, ft of snow will melt to 2 in. of water. To how many inches of water will ft of snow melt? 41) Jim drove 205 miles in 5 hours. If he can keep the same pace, how long will it take him to drive 697 miles? 42) In a sample of 77 widgets, 6 were defective. How many defective widgets would you expect in a sample of 616 widgets? 43) Dr. Wong can see 8 patients in 2 hours. At this rate, how long would it take her to see 40 patients? 44) On a map of the Thunderbird Country Club golf course, 0.5 inches represent 15 yards. How long is the 4th hole if the map shows 5.5 inches? 9

47 45) On a map of the Fox River, 1 centimeter represents 5 kilometers. If a trail by the river is actually kilometers long, what is the length of the river on the map? 46) On Anne's bicycle, the ratio of pedal turns to rear-wheel turns in second gear is 4 to 7. If her rear wheel turns 931 times per mile, how many times does she turn the pedal in one mile? 47) The ratio of the lengths of strings that play the notes F and G is 9 to 8. If a string 80 centimeters long plays a G, what is the length of the string that plays an F? 10

48 Answer Key Testname: MATH 1100 CH5 REVIEW 1) A 2) B 3) ) ) 3 4 6) ) Yes 8) No 9) ) 1 11) ) 10 hr 13) 4 day(s) 1 14) 10 15) ) Test ) 16, ) 5 7, 3 4, ) ) ) ) ) ) ) )

49 Answer Key Testname: MATH 1100 CH5 REVIEW 27) ) D 29) 4 9 yd 30) lb 1 31) 12 32) ) ) ) 24 lots 36) 72 readings 37) tiles 38) 9:13 39) ) 3 in. 41) 17 hr 42) 48 43) 10 hr 44) 165 yd 45) 4.4 cm 46) 532 times 47) 90 cm 12

50 Math 1100 Chapter 7 Review Name Rewrite the following in its equivalent decimal form. 1) Write the following as a sum using powers of 10 to show place value. 2) Rewrite as a numeral. 3) Fifty-nine hundredths Write the following in words. 4) 0.87 Write the terminating decimal as a in simplest form where a, b I and b 0. b 5) Mentally determine if the number can be written as a terminating decimal 6) Rewrite as a terminating decimal. 7) 7 8 1

51 Order the decimals from least to greatest. 8) 0.06, 0.02, 0.026, Solve the problem. 9) Evelyn measured two rooms of her apartment and found that she needed 13.1 square meters of wallpaper for one room and 72.4 square meters for the other. How much wallpaper did she need? 10) The pharmacist mixed 7.53 grams of one drug with grams of another drug. What was the weight of the mixture? 11) It took three assembly-line workers 7.25 seconds, seconds, and 6.7 seconds to assemble a product. How many seconds in all did they work? 12) Anna spent $53.69 on a pair of shoes and $79.30 on a new jacket. How much money did she spend all together? Round the number as specified. 13) to the nearest hundredth 2

52 14) to the nearest unit Estimate an answer to the problem. 15) An advertisement states that television sets are on sale at B&G Electronics. The sale prices are: 13-inch set, $147.99; 19-inch set, $208.95; 21-inch set, $231.99; 27-inch set, $289.97; 50-inch set, $ Estimate to the nearest ten the total cost of one 13-inch set and one 27-inch set. Rewrite the number or expression as requested. 16) (Rewrite as a standard numeral.) 17) (Rewrite as a standard numeral.) 18) (Rewrite in scientific notation.) 19) 32,000,000,000 (Rewrite in scientific notation.) 3

53 Provide an appropriate response. 20) What is the 100th digit after the decimal point in the following repeating decimal? ) What is the 120th digit after the decimal point in the following repeating decimal? Order the decimals from least to greatest. 22) 0.8, 0.84, 0.84, Convert the repeating decimal to a fraction. 23) ) 0.67 Rewrite the following as indicated. 25) 4 5 (Write as a percent.) 26) 1 4 (Write as a percent.) 4

54 27) 1 (Write as a percent.) 15 28) 0.54 (Write as a percent.) 29) 3 1 % (Write as a decimal.) 4 Solve the problem. 30) A mutual fund invests $73,400 in highway bonds and earns 13% per year on the investment. How much money is earned per year? 31) A liquid solution contains 5% modifier. How much modifier is in 2.5 ml of solution? 32) A gardener has 32 clients, 50% of whom are businesses. Find the number of business clients. 5

55 33) Alex and Juana went on a 50-mile canoe trip with their class. On the first day they traveled 23 miles. What percent of the total distance did they canoe? Find the compound interest earned by the deposit. Round to the nearest cent. 34) $9000 at 5% compounded annually for 10 years 35) $700 at 8% compounded quarterly for 5 years 6

56 Answer Key Testname: M1100 CH7 REVIEW 1) ) ) ) Eighty-seven hundredths 5) ) Yes 7) ) 0.02, 0.026, 0.06, ) 85.5 m2 10) g 11) sec. 12) $ ) ) ) $440 16) 864,000 17) ) ) ) 4 21) 6 22) 0.84, 0.84, 0.848, ) ) ) 80% 26) 25% 27) % 28) 54% 29) ) $ ) ml 32) 16 clients 33) 46% 34) $ ) $

57 Math 1100 Final Exam Name: 1. Use Polya s four-step Problem Solving process to solve the following problem: The XYZ club collected a total of $1.21 from its members with each member contributing the same amount. If each member paid for his or her share with 3 coins, how many nickels were contributed? (10pts) (1) Understand the problem: (2) Devising a Plan: (3) Carry out the plan: (4) Looking Back:

58 2. Let AA = {xx xx > 0 aaaaaa xx iiii oooooo}, BB = {xx xx > 6}, CC = {2,4,5,7,8}. (a) Find C-A (5pts) (b) Find (AA BB) CC (5pts) 3. (a) Write the following as a decimal: (5pts) (b) Write the following decimal in expanded form: (5pts) 4. Use the divisibility test to determine whether is divisible by the following numbers. (Show clearly how the test works) (5pts each) (a) 4 (b) 3 (c) 9

59 5. (a) State the Fundamental Theorem of Arithmetic. (5pts) (b) Find the prime factorization of 5625 and (5pts) (c) Find GCF (5625, 4725) (5pts) (d) Find LCM (5625, 4725) (5pts) 6. Oder the decimals from smallest to largest , , , (5pts)

60 7. Four-fifths of all the students in a class had finished their exams. (a) What is the ratio of those who had finished to those who had not? (5pts) (b) What percentage of students had not yet finished? (5pts) 8. (a) Convert the decimal 3.12 to a mixed fraction in simplified form. (5pts) (b) Convert the decimal to a mixed fraction in simplified form.(5pts) 9. Simplify (5pts each) (a) ( 1 4 ) 1 (b) ( 1) 3 (c) [1 + ( 1) 4 ] (a) Draw a Venn Diagram to illustrate the relationship between the sets of N=natural numbers. I =integers. Q=rational numbers and R=real numbers. (5pts) (b) Given an example of a number in each of the following sets: QQ II (5pts) QQ II NN (5pts) RR QQ (5pts)