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Mathematics-Grade 7 Released Items Fall 2005...Mathematics-Grade 7 Released Items Fall 2005 Page 3 MDE/MEAP RELEASED ITEMS GO ON TO THE NEXT PAGE MA06000NX3103165A 1 What kind of answer

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Page 1: Mathematics-Grade 7 Released Items Fall 2005...Mathematics-Grade 7 Released Items Fall 2005 Page 3 MDE/MEAP RELEASED ITEMS GO ON TO THE NEXT PAGE MA06000NX3103165A 1 What kind of answer
Page 2: Mathematics-Grade 7 Released Items Fall 2005...Mathematics-Grade 7 Released Items Fall 2005 Page 3 MDE/MEAP RELEASED ITEMS GO ON TO THE NEXT PAGE MA06000NX3103165A 1 What kind of answer

Mathematics-Grade 7 Released Items Fall 2005

MDE/MEAP RELEASED ITEMS

MICHIGAN STATE BOARD OF EDUCATION STATEMENT OF ASSURANCE OF COMPLIANCE WITH FEDERAL LAW

The Michigan State Board of Education complies with all Federal laws and regulations prohibiting discrimination and with all requirements and regulations of the U.S. Department of Education. It is the policy of the Michigan State Board of Education that no person on the basis of race, color, religion, national origin or ancestry, age, sex, marital status, or handicap shall be discriminated against, excluded from participation in, denied the benefits of, or otherwise be subjected to discrimination in any program or activity for which it is responsible or for which it receives financial assistance from the U.S. Department of Education.

Copyright © 2005, held by the Michigan Department of Education, State of Michigan. All rights reserved. Printed in the U.S.A. Permission is granted to schools, parents, government agencies and non-profit organizations in Michigan to reproduce and distribute this document for non-commercial use in helping Michigan educators and other citizens in interpreting and using the MEAP assessment results. For all instances other than identified in the previous paragraph, no part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without prior written permission from the Office of Educational Assessment and Accountability.

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Mathematics-Grade 7 Released Items Fall 2005

Page 1 MDE/MEAP RELEASED ITEMS GO ON TO THE NEXT PAGE

PART 1 DIRECTIONS This test has four parts. You may NOT use a calculator on the first part. You may use open space in this test booklet for scratch paper. No additional sheets may be used. There is one type of item on this test: multiple-choice.

1. Multiple-choice items will require you to choose the best answer from among four answer choices. For these items, use only a No. 2 pencil to mark your answer in your Answer Folder. If you erase an answer, be sure to erase it completely. If you skip an item, be sure to mark the answer to the next item in the correct place in your Answer Folder.

Sample Multiple-Choice Item:

How much sales tax is charged when you buy a shirt that costs $12?

A $0.60

B $0.66

C $0.72

D $0.78

For this sample item, the correct answer is C. Circle C is filled in on the sample item on page 1 on your Answer Folder.

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Page 2 MDE/MEAP RELEASED ITEMS WAIT. DO NOT GO ON UNTIL TOLD TO DO SO.

You will have at least 30 minutes to finish Part 1 of this test. You will be given additional time if necessary.

1. Once you have reached the word STOP in your test booklet, do NOT go on to the next page.

2. If you finish early, you may check your work in Part 1 of the test ONLY. Do

NOT look at items in other parts of the test. If you do not understand any of these directions, please raise your hand.

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MA06000NX3103165A 1 What kind of answer results when a rational number is multiplied by zero?

A The answer is zero.

B The answer is the original number.

C The answer depends on the original number.

D The answer is the opposite sign of the original number.

MA06000NX3103078A 2 What is the solution to this number sentence?

3 + 12 ÷ 3 + 8 × 4 =

A 39

B 52

C 60

D 80

MA06000NX3044860C 3 What value goes in the box to make the equation true?

= 1012

÷54

A 21

B 32

C 23

D 35

MA06000NX3103080D

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Page 4 MDE/MEAP RELEASED ITEMS STOP. DO NOT GO ON UNTIL TOLD TO DO SO.

4 What is the solution to this number sentence?

39 – 15 ÷ 3 – 8 ÷ 4 =

A 0

B 6

C 24

D 32

MA06000NX3043423C 5 A hamburger patty weighs 5 ounces before it is cooked. How many hamburgers can

be made using 10 pounds of meat? (There are 16 ounces in one pound.)

A 20

B 30

C 32

D 50

MA06000NX3044859A 6 What number goes in the box to make the equation true?

= 21

x92

A 91

B 92

C 9

D 18

MA06000NX3094868A

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Mathematics-Grade 7 Released Items Fall 2005

Page 5 MDE/MEAP RELEASED ITEMS WAIT. DO NOT GO ON UNTIL TOLD TO DO SO.

PART 2

DIRECTIONS You will now begin Part 2 of this test. You may use a calculator on this part of the test, and you may use open space in this test booklet for scratch paper. No additional sheets may be used. If you finish early, you may check your work for Part 2 ONLY. Do NOT look at items in other parts of this test. You will have at least 50 minutes to finish Part 2 of this test.

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MA06000AX3114805A 7 Amy had 6 pairs of shoes. She let Meg borrow x pairs of shoes, and then she had 4

pairs left. Which equation models this situation?

A 46 =− x

B 46 =+ x

C 46 =x

D 64 =x

MA06000AX3114806B 8 Lucy had 8 plants. She gave p plants to Tom, and then she had 5 plants left. Which

equation could model this situation?

A 8 + p = 5

B 8 – p = 5

C 8p = 5

D 5p = 5

MA06000NX3154753B 9 Moe had $10.00. He bought a corn dog for $2.25, a drink for $1.50, and a bag of

cotton candy for $2.75. How much money did he have left?

A $2.50

B $3.50

C $5.50

D $6.50

MA06000NX1174760A 10 On a number line, which number is the same distance from 0 as 11?

A –11

B – 9

C 0

D 9

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MA06000DX3013210B 11 The probability of getting 3 green lights in a row on Smith Street is 1 out of 80.

Which of the following fractions represents this probability?

A 811

B 801

C 803

D 180

MA06198AX2023198B 12 The locations of several buildings in town are shown on the coordinate plane below.

What are the coordinates of the building closest to the library?

A (1, 6)

B (3, 5)

C (4, 2)

D (6, 1)

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MA06000NX1114530D 13 A nursery school teacher is planning a class celebration for the end of the year. She

has a dozen doughnuts. She plans to give each student half a doughnut. How many students will she be able to serve?

A 6

B 12

C 18

D 24

MA06000AX3063231D 14 Candi is eating lunch in a cafeteria. She ordered 1 item that cost $3.89, 2 items that

cost $1.27 each, and 4 items that cost $0.39 each. Which number sentence shows her total?

A (1 + 2 + 4) × (3.89 + 1.27 + 0.39) = $38.85

B (3.89 + 2) × (1.27 + 4) × 0.39 = $12.11

C 3.89 + 4 × 1.27 + 2 × 0.39 = $9.75

D 3.89 + 2 × 1.27 + 4 × 0.39 = $7.99

MA06000NX3144534B 15 Stamps cost 37 cents each. Helen has $2.00 in cash. What is the greatest number of

stamps she can buy?

A 4 stamps

B 5 stamps

C 6 stamps

D 7 stamps

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MA06047AX2023047C 16 What are the coordinates of the point shown on the graph below?

y

x

–5

–4

–3

–2

–1

1

2

3

4

5

0–1–2–3–4–5 1 2 3 4 5

A (4, 3)

B (3, –4)

C (–4, 3)

D (4, –3)

MA06000AX3034781D 17 Daniel read b number of books this summer. Marion read 3 more than twice the

number of books Daniel read. How many books did Marion read?

A b – 2

B b + 2

C 2b – 3

D 2b + 3

MA06000NX3154750B

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18 Dionne buys a cap that costs $7.50 and a shirt that costs $22.50. Sales tax is 6%.

What is the total cost including tax?

A $180.00

B $ 31.80

C $ 30.00

D $ 15.50 MA06000NX1174757A 19 What is the missing value in the equation below?

722

+ = 0

A 722

B 227

C 0

D 722

MA06000GX1023255B 20 If two figures are congruent, which of the following is true?

A They have the same lengths but different angle measures.

B They have the same lengths and the same angle measures.

C They have the same angle measures but different lengths.

D They are the same type of shape, but lengths and angles can be different.

MA06000AX3134815B

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21 Which equation has the same solution as y = 6?

A 242 =y

B 244 =y

C 242=

y

D 244=

y

MA06197AX2023197D 22 What symbol on the coordinate plane below is located at (2, 5)?

A B

C D

MA06754NX1174754C

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23 Which position on the number line represents the number –4?

0 5–10 –5

A B C D

A A

B B

C C

D D

MA06000NX3024708C

24 Kathy has 43

of a cake she wants to divide evenly among 3 friends. Which equation

can be used to find the fraction of the whole cake each friend will get?

A 43

=n ●43

B 43

n = ÷31

C 43

n = ÷3

D 34

n = ●3

MA06000AX1013027A 25 The Newtown Fire Department was testing their new fire engine. At full power, the

engine pumped enough water to empty its 520 gallon tank in 6.5 minutes. How many gallons per minute can the new engine pump?

A 80 gallons per minute

B 87 gallons per minute

C 104 gallons per minute

D 3,380 gallons per minute

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Page 13 MDE/MEAP RELEASED ITEMS WAIT. DO NOT GO ON UNTIL TOLD TO DO SO.

PART 3

DIRECTIONS You will now begin Part 3 of this test. You may use a calculator on this part of the test, and you may use open space in this test booklet for scratch paper. No additional sheets may be used. If you finish early, you may check your work for Part 3 ONLY. Do NOT look at items in other parts of this test. You will have at least 50 minutes to finish Part 3 of the test.

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A06000AX3034893A

26 Tom weighs n pounds. Paul’s weight is 1

3 of Tom’s. Which of the following

expressions represents Paul’s weight?

A n31

pounds

B n3

pounds

C 3n pounds

D n – 3 pounds

MA06000DX3014261A 27 Jay closes his eyes and chooses a book from his bookshelf. The shelf holds only

books with red covers. Which best describes the chance that Jay will choose a book with a red cover?

A certain

B probable

C likely

D possible

MA06000AX1014532C 28 Pamela is on a road trip. She travels at an average rate of 50 miles per hour. How far

does she travel in 221

hours?

A 50 miles

B 100 miles

C 125 miles

D 150 miles

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MA06000AX3114807C 29 Last year Rhonda had r rabbits in her garden. This year, the number of rabbits in her

garden doubled to 10. Which equation models this situation?

A 102 =+r

B 102 =−r

C 102 =r

D 102=

r r2= 10

MA06000AX3034783B 30 Ross can run r miles per hour. Mel can run twice as fast as Ross. How fast can Mel

run?

A 2r

mph

B 2r mph

C r + 2 mph

D r – 2 mph

MA06000MX1014820C 31 How many quarts are equivalent to 8 gallons?

A 4

B 8

C 32

D 64

MA06000NX3154225C

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32 A taxi cab charges $1.25 for the first 21

mile and 50 cents each 21

mile after the first.

Maria took a ride in the cab for a distance of 321

miles. How much did the ride cost?

A $2.25

B $3.50

C $4.25

D $4.75 MA06000NX1114743D 33 The ratio of boys to girls in Mark’s class is 3:4. Which of the following ratios is

equivalent to 3:4?

A 1:2

B 6:9

C 16:18

D 18:24

MA06000NX2014851D

34 Jennifer wants to run 3 miles. The track she runs on is 41

of a mile in length. How

many times does Jennifer have to run the length of the track to run a total of 3 miles?

A 43

B 341

C 7

D 12

MA06000NX3144876C

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35 Mary is on the basketball team. She has scored an average 19.72 points per game

during the 11 games this season. Which is closest to the number of points she scored this season?

A 195

B 200

C 220

D 225

MA06058GX4033058D 36 Paul was given the following graph in math class and was asked to reflect ΔABC over

the y-axis.

Which property remained the same?

A Only the area remained the same.

B Only the perimeter remained the same.

C Only the measures of the angles remained the same.

D The area, perimeter, and measures of the angles all remained the same.

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MA06000AX3124915C 37 Which of the following pairs of equations have the same solution?

A x – 2 = 1 and x – 2 = 2

B x + 3 = 3 and x + 6 = 5

C x + 1 = 4 and x + 2 = 5

D x + 2 = 3 and x + 3 = 5

MA06037GX1024037A 38 Which pair of triangles appears to be congruent?

A B

C D

MA06000NX3024710D

39 Ben took 61

of a whole pie and divided that slice into 4 equal pieces. Which equation

can be used to determine the fraction of the whole pie represented by each of the 4 new slices?

A 6n = ÷4

B 6n = ●4

C 61

n = ÷41

D 61

n = ÷4

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MA06000AX3063542D 40 In the pattern 1, 4, 9, 16, x2, . . ., what does x represent?

A the fifth term in the pattern

B the final term in the pattern

C the sum of the terms in the pattern

D the square root of the next value in the pattern

MA06000AX1013016D 41 Mark reads 14 pages per hour and Jesse reads 8 pages in half an hour. Which of the

following statements compares these rates?

A Mark reads 6 pages per hour faster than Jesse.

B Mark reads 2 pages per hour faster than Jesse.

C Jesse reads 6 pages per hour faster than Mark.

D Jesse reads 2 pages per hour faster than Mark.

MA06000MX1013520A 42 What is the area of a 1800-square-centimeter rug in square meters?

A 0.18 square meters

B 180 square meters

C 180,000 square meters

D 18,000,000 square meters

MA06000NX1114746A 43 The ratio of books to magazines in the library is 36:18. Which of the following ratios

is equivalent to 36:18?

A 2:1

B 3:1

C 26:8

D 24:6

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PART 4

DIRECTIONS You will now begin Part 4 of this test. You may use a calculator on this part of the test, and you may use open space in this test booklet for scratch paper. No additional sheets may be used. If you finish early, you may check your work for Part 4 ONLY. Do NOT look at items in other parts of this test. You will have at least 50 minutes to finish Part 4 of this test.

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A060000GX4034039C 44 The owner of the Lucky Fish Restaurant is using his computer to create business

cards. The logo he has chosen is shown below.

Which transformation should he use on the left fish to produce the right fish?

A translation

B rotation of 90°

C reflection

D rotation of 180°

MA06000NX2014850D

45 Harold has 8 pounds of rice. One cup of rice weighs about 12 pound. How many cups

of rice does Harold have?

A 4

B 712

C 12

D 16

MA06000NX3134195C 46 A breakfast cereal company has put 25% more cereal in each box. The original box

contained 28 ounces of cereal. How much does the new box contain?

A 7 ounces

B 25 ounces

C 35 ounces

D 53 ounces

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MA06036GX1023036D 47 Triangle GHI is congruent to triangle MNO. Which of the following does NOT have to

be true?

A m∠M = m∠G

B m∠I = m∠O

C GH ≅ MN

D HI ≅ MO

MA06000NX3133228D 48 Raymond has a $5.00 off coupon for a restaurant but wants to calculate his tip based

on the original bill. If his bill, after the coupon, was $15.00, how much should he leave for a 15% tip?

A $1.00

B $1.50

C $2.25

D $3.00

MA06000DX3013042C

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49 Mr. Garcia bought 5 red apples and 2 green apples. His shopping bag ripped and 1

apple fell out. What are the chances that the apple that fell out was green?

A 71

B 51

C 72

D 52

MA06198AX3133556A 50 What equation-solving process is modeled in the following diagram?

= x = 1 = –1

KEY:

A dividing both sides by 3

B multiplying both sides by 3

C subtracting 2 from both sides

D subtracting 6 from both sides

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MA06000AX3063025C 51 Jake starts his baseball card collection with 15 cards and buys more each week. The

number of cards he owns can be modeled using the expression 15 + 10x, where x is the number of weeks Jake has been buying baseball cards. What happens to the number of cards in Jake’s collection?

A His collection increases by 25 cards each week.

B His collection increases by 15 cards each week.

C His collection increases by 10 cards each week.

D His collection increases by 10 times the previous week’s total.

MA06000NX2014620B

52 Tom has 32

of a pizza that is uncut. He wants to divide it into slices that are each 61

of the original pizza. How many slices will he get?

A 3

B 4

C 6

D 9

MA06000NX3144187C 53 Rebecca and her three friends went to a cook-out. The four girls went to a booth

selling pies and each ate 31

of a pie. Rounding to the nearest 21

, about how many

pies did the girls eat in all?

A 1

B 141

C 121

D 143

MA06000AX3134919A

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54 Which of the following pairs of equations have the same solution?

A 6x = 3 and 3x = 1.5

B 8x = 3 and 4x = 1

C 10x = 9 and 5x = 18

D 12x = 6 and 6x = 6

MA06000NX3024711C

55 Robert cut 43

of a loaf of bread in half. Which equation can be used to determine the

fraction of the whole loaf represented by each piece?

A 43

n = ●43

B 43

=n ●2

C 43

=n ÷2

D 34

=n ÷21

MA06000AX3124809B 56 Which equation has the same solution as 1332 =+x ?

A 1632 =+x

B 102 =x

C 132 =x

D 133 =+x

MA06000AX3124813D

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57 Which equation has the same solution as 396 =−w ?

A 396 =− w

B 36 =w

C 396 =+w

D 126 =w

MA06000MX1014818C 58 The surface area of a table top is 60,000 cm2. What is this area in square meters?

A 600 m2

B 100 m2

C 6 m2

D 1 m2

MA06000NX3133150B 59 Tucker is allowed to eat 20% of a 20-ounce bag of candy each day. Which of the

following statements describes the amount of candy in ounces he is allowed to eat each day?

A 20 × 20 = 400

B 20 × 0.20 = 4

C 2020

=1

D 20 – 20 = 0

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A0048GX4033048D 60 What would happen to this figure after a translation?

A It would be smaller.

B It would be larger.

C It would be at a different angle on the page.

D It would be in a different location on the page.

61 Which correctly completes the number sentence? 7.050 >

A 7.015

B 7.055

C 7.100

D 7.500

62 What is 50% of 12?

A 4.2

B 6

C 24

D 62

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63 Which number has the same absolute value as 83

?

A 38

B 38

C –0.38

D –83

64 Which of the following is an equation?

A 3+10 −1

B 3x +1= 10

C 3x +1−10

D 3x+110

65 Which pair of figures shows a reflection over the line segment?

A B

C D

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66 Jennifer’s class has 3 boys and 12 girls. Each student writes his or her name on a

piece of paper. They give the pieces of paper to their teacher. The teacher chooses one name without looking. Which best describes the chance that the teacher chooses a boy’s name?

A equally likely

B least likely

C most likely

D not possible

67 What is the value of n in the equation below?

43

÷ 3 = n

A 3

B 49

C 31

D 41

68 Which expression is equal to the fraction 514

?

A 14 × 5

B –14 × 5

C 14 ÷ 5

D –14 ÷ 5

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69 A bug climbs 3 inches up a tree each day and then slides back down the tree 1 inch at night. After 6 days and nights, how many inches has the bug moved above its starting point?

A 6 inches

B 12 inches

C 18 inches

D 24 inches

70 Each Friday, Jill earns $10 babysitting. Each week, she spends $4 and saves the rest. How much has she saved after 8 weeks?

A $48

B $76

C $80

D $84

71 What is the value of 32 × 5?

A 25

B 30

C 45

D 225

72 Which expression represents “2 times x, divided by 3”?

A 3

2x

B x+3

2

C 32

D 2 × 3

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73 Which is equivalent to 3h + 2r?

A 2h + 3r

B 2r + 3h

C 5hr

D 6hr

74 At West Elementary School, there are exactly 3 boys for each girl in every class. If b

is the number of boys and g is the number of girls, the equation b = 3g can be used to show this relationship. According to this equation, how many boys are in a class that has 6 girls?

A 6

B 16

C 18

D 72

75 What is the rule for the pattern in the following diagram?

A double the number of boxes each time

B triple the number of boxes each time

C square the number of boxes each time

D add 4 boxes each time

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76 Carl collects baseball cards. He has 35 cards for the current baseball season. He is allowed to buy 15 new cards each week. What is the fewest number of weeks from now when he will have more than 100 cards?

A 4 weeks

B 5 weeks

C 6 weeks

D 7 weeks

77 Which net, when folded, will cover all of the faces of the cube?

A B

C D

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78 Kiera needs to paint only the walls of a rectangular room. She needs to know the area of the space to be painted in order to buy the right amount of paint. Which formula can be used to calculate the area of the walls?

A 2mp + 2np

B 2mn + 2mp + 2np

C 6mp

D mnp

79 How many pairs of congruent angles must be formed when two lines intersect?

A 0 pairs

B 1 pair

C 2 pairs

D 4 pairs

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MDE/MEAP RELEASED ITEMS

Scoring Key Part 1:

Item # Answer Key 1 A 2 A 3 C 4 D 5 C 6 A

Part 2:

Item # Answer Key 7 A 8 B 9 B 10 A 11 B 12 B 13 D 14 D 15 B 16 C 17 D 18 B 19 A 20 B 21 B 22 D 23 C 24 C 25 A

Continues on the next page.

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Part 3:

Item # Answer Key 26 A 27 A 28 C 29 C 30 B 31 C 32 C 33 D 34 D 35 C 36 D 37 C 38 A 39 D 40 D 41 D 42 A 43 A

Part 4:

Item # Answer Key 44 C 45 D 46 C 47 D 48 D 49 C 50 A 51 C 52 B 53 C 54 A 55 C 56 B 57 D 58 C 59 B 60 D 61 A 62 B 63 D 64 B 65 D 66 B 67 D 68 C 69 B 70 A 71 C 72 A 73 B 74 C 75 D 76 B 77 A 78 A 79 C