7th grade adv. math 1st semester review ch -...

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7th Grade Adv. Math 1st Semester Review Ch.1 Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Simplify . a. c. b. d. ____ 2. Write the decimal 0.262 as a fraction in simplest form. a. 44 167 c. 33 125 b. 131 501 d. 131 500 ____ 3. Write the fraction 2 3 as a decimal. a. 0.6 c. 0.7 b. 0.7 d. 0.6 ____ 4. Multiply. Write your answer in simplest form. a. 7 9 c. 1 3 b. 1 21 d. 2 1 3 ____ 5. Multiply. Write your answer in simplest form. a. 2 9 c. 5 14 b. 35 18 d. 25 18 ____ 6. Multiply. a. 2.268 c. 1.428 b. 0.2268 d. 1.428 ____ 7. Treya practices typing hour each day. How many hours does Treya practice typing in 3 days? a. hours c. hour b. hours d. hour ____ 8. Divide. Write your answer in simplest form. a. 3 32 c. 73 27 b. 3 8 d. 8 3

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Page 1: 7th Grade Adv. Math 1st Semester Review Ch - …p6cdn4static.sharpschool.com/UserFiles/Servers/Server_25468/file...7th Grade Adv. Math 1st Semester Review Ch.1 Multiple Choice Identify

7th Grade Adv. Math 1st Semester Review Ch.1

Multiple Choice

Identify the choice that best completes the statement or answers the question.

____ 1. Simplify .

a. c.

b. d.

____ 2. Write the decimal 0.262 as a fraction in simplest form.

a. 44

167 c. 33

125

b. 131

501 d. 131

500

____ 3. Write the fraction 2

3 as a decimal.

a. 0.6 c. 0.7 b. 0.7 d. 0.6

____ 4. Multiply. Write your answer in simplest form.

a. 7

9 c. 1

3

b. 1

21 d. 2

1

3

____ 5. Multiply. Write your answer in simplest form.

a. 2

9 c. 5

14

b. 35

18 d. 25

18

____ 6. Multiply.

a. –2.268 c. 1.428

b. –0.2268 d. –1.428

____ 7. Treya practices typing hour each day. How many hours does Treya practice typing in 3 days?

a. hours c. hour

b. hours d. hour

____ 8. Divide. Write your answer in simplest form.

a. 3

32 c. 73

27

b. 3

8 d. 8

3

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____ 9. Divide.

a. 0.97 c. 0.64

b. 1.56 d. 0.10

____ 10. Evaluate the expression for .

a. 3.5 c. 2.9

b. 0.3 d. 21.9

____ 11. The gas tank on a car holds 15.5 gallons. If the car goes 387.5 miles on a single tank, how many miles per

gallon does the car get?

a. 20 miles per gallon c. 25 miles per gallon

b. 21 miles per gallon d. 30 miles per gallon

____ 12. In a singing contest, about of the finalists came from Austin, Texas, and about came from the state of

Texas. What fraction of the Texan finalists came from Austin?

a. c.

b. d.

____ 13. Add.

a. 19

36 c. 1

3

b. 5

6 d. 19

27

____ 14. Evaluate n + 12

3 for n =

6

7.

a. 17

21 c. 1

1

10

b. 16

11 d. 1

11

23

____ 15. A bread recipe calls for 11

2 cups of regular flour and 1

1

5 cups of wheat flour. What is the total amount flour is

needed?

a. 12

7 cups c. 2

7

10 cups

b. 33

5 cups d. 1

2

25 cups

____ 16. Solve .

a. y = –12.3 c. y = –26.1

b. y = 12.3 d. y = 26.1

____ 17. Solve x + 1

15 =

1

6.

a. x = 2

5 c. x =

1

9

b. x = 7

30 d. x =

1

10

____ 18. Solve 5

6w =

3

5.

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a. w = 18

25 c. w =

17

60

b. w = 50

39 d. w =

7

30

____ 19. A plant has grown 11

2 inches in the last year and is now 8

1

3 inches tall. How tall was it a year ago?

a. 95

6 inches c. 6

5

6 inches

b. 72

3 inches d. 5

5

9 inches

____ 20. Genna wants to have a magician for her birthday party. She has $189 to spend. To have a magician come,

there is an initial fee of $45, plus $24 per hour. How many hours can Genna have the magician stay?

a. 6 hours c. 3.7 hours

b. 120 hours d. 5 hours

____ 21. Solve .

a. y = 33 c. y = 40

b. y = 48 d. y = 23

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7th Grade Adv. Math 1st Semester Review Ch.1

Answer Section

MULTIPLE CHOICE

1. B

2. D

3. A

4. D

5. B

6. A

7. D

8. D

9. B

10. A

11. C

12. A

13. A

14. A

15. C

16. D

17. D

18. A

19. C

20. A

21. A

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7th Grade Adv. Math 1st Semester Review Ch.2

Multiple Choice

Identify the choice that best completes the statement or answers the question.

____ 1. Determine whether the ordered pair (10, 44) is a solution of y = 4x + 4.

a. Yes b. No

____ 2. Make a table of solutions for using the values x = 1, 2, 3, and 4.

x y (x, y)

1 ? ? ?

2 ? ? ?

3 ? ? ?

4 ? ? ?

a.

c.

b.

d.

____ 3. Give the coordinates of each point.

A

B

C

D

1 2 3 4 5–1–2–3–4–5 x

1

2

3

4

5

–1

–2

–3

–4

–5

y

a. Point A is at (0, 5).

Point B is at (1, 2).

Point C is at (4, 2).

c. Point A is at (0, 5).

Point B is at (–1, 2).

Point C is at (4, –2).

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Point D is at (5, 3).

Point D is at (–5, –3).

b. Point A is at (5, 0).

Point B is at (2, –1).

Point C is at (–2, 4).

Point D is at (–3, –5)

d. Point A is at (5, 0).

Point B is at (2, 1).

Point C is at (2, 4).

Point D is at (3, 5).

____ 4. Name the quadrant where point B is located.

B5–5 x

5

–5

y

a. Quadrant IV c. Quadrant III

b. Quadrant II d. Quadrant I

____ 5. Graph each point on a coordinate plane. Label the points A–D.

A(0, 5), B(–4, 1), C(3, –4), D(–5, –2).

a.

A

B

C

D

5–5 x

5

–5

y

c.

A

BC

D

5–5 x

5

–5

y

b.

A

B

C

D

5–5 x

5

–5

y

d.

A

B

C

D

5–5 x

5

–5

y

____ 6. Find the distance between points B and L.

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B

L

2 4 6 8–2–4–6–8 x

2

4

6

8

–2

–4

–6

–8

y

a. –10 c. 12

b. 10 d. 2

____ 7. Write a possible situation for the graph.

Time

Wate

r le

vel

a. A pool is filled with water using one valve. Then, immediately after the pool is filled to its

capacity, the pool needs to be emptied because of some problems. The pool is refilled right

after it is completely empty, using two valves this time.

b. A pool is filled with water using one valve. A little time after the pool is filled to its

capacity, the pool needs to be emptied because of some problems. Then, the pool is

refilled immediately, using two valves this time.

c. A pool is filled with water, and people are having fun swimming and jumping in and out

of the pool.

d. A pool is filled with water. A little time after the pool is filled to its capacity, the pool

needs to be emptied because of some problems. Then, the pool is refilled immediately at

the same rate as before.

____ 8. The table shows speeds in miles per hour for four horses.

Time 5:59 6:00 6:01 6:02 6:03

Horse 1 7 28 15 5 2

Horse 2 2 0 5 0 6

Horse 3 0 4 7 3 0

Horse 4 0 7 29 34 0

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In no particular order, the following graphs represent the horses in the table.

Time

Ho

rse

's s

peed

Graph 1

Time

Ho

rse

's s

peed

Graph 2

Time

Ho

rse

's s

peed

Graph 3

Time

Ho

rse

's s

peed

Graph 4

Tell which graph corresponds to horse 2 in the table.

a. Graph 2 c. Graph 3

b. Graph 1 d. Graph 4

____ 9. The table shows speeds in miles per hour for four people in a neighborhood.

Time 2:45 2:50 2:55 3:00 3:05

Person 1 4 6 4 0 3

Person 2 2 0 2 3 6

Person 3 0 8 0 6 0

Person 4 0 3 8 8 8

In no particular order, the following graphs represent the people in the table.

Time

Perso

n's

sp

eed

Graph 1

Time

Perso

n's

sp

eed

Graph 2

Time

Perso

n's

sp

eed

Graph 3

TimeP

erso

n's

sp

eed

Graph 4

Tell which graph corresponds to person 1 in the table.

a. Graph 2 c. Graph 4

b. Graph 1 d. Graph 3

____ 10. Make a table and a graph of y = 4x – 3.

a.

2 4 6 8–2–4–6–8 x

2

4

6

8

10

12

–2

–4

–6

–8

–10

–12

y

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b.

2 4 6 8 10 12–2–4–6–8–10–12 x

2

4

6

–2

–4

–6

y

c.

2 4 6–2–4–6 x

2

4

6

8

10

12

–2

–4

–6

–8

–10

–12

y

d.

2 4 6 8 10 12–2–4–6–8–10–12 x

2

4

6

–2

–4

–6

y

____ 11. Determine if the relation represents a function.

1 2 3–1–2–3 x

1

2

3

–1

–2

–3

y

a. The relation is a function. b. The relation is not a function.

____ 12. Determine if the relation represents a function.

x y

0 –5

1 –1

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2 3

3 6

a. The relation is a function. b. The relation is not a function.

____ 13. Use the table to make a graph and to write an equation.

x 0 1 2 3 4

y 0 3 6 9 12

a. y =

5 10 15 20 x

1

2

3

4

5

–1

y

c. y = x + 2

1 2 3 4 5–1 x

1

2

3

4

5

6

7

8

9

–1

y

b. y = 3x

1 2 3 4 5–1 x

5

10

15

20

y

d. y = x + 2

1 2 3 4 5–1 x

5

10

15

20

y

____ 14. Use the graph to make a table and to write an equation.

1 2 3 4–1–2–3–4 x

1

2

3

4

5

6

7

8

9

–1

–2

–3

y

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a. y = x + 5

b. y = 5x

c. y = x – 5

d. y = x – 5

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7th Grade Adv. Math 1st Semester Review Ch.2

Answer Section

MULTIPLE CHOICE

1. A

2. B

3. C

4. C

5. B

6. B

7. B

8. B

9. D

10. C

11. B

12. A

13. B

14. A

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7th Grade Adv. Math 1st Semester Review Ch.3

Multiple Choice

Identify the choice that best completes the statement or answers the question.

____ 1. Simplify .

a. 36 c. 1

36

b. –1

36 d. –36

____ 2. Simplify .

a. 0.000001 c. 0.0001

b. –50 d. 0.00001

____ 3. Simplify .

a. c. –96

b. d.

____ 4. Evaluate for a = 4, b = 2, c = 8, x = –1, and y = –2.

a. c. –96

b. d.

____ 5. Multiply. Write the product as one power.

a. c. b. Cannot combine d.

____ 6. Multiply. Write the product as one power.

a. c. b. d. Cannot combine

____ 7. Divide. Write the quotient as one power.

a. c. b. Cannot combine d.

____ 8. Divide. Write the quotient as a power. The variable is not equal to zero.

a. Cannot combine c.

b. d.

____ 9. Simplify .

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a. c. b. d.

____ 10. Simplify .

a. c. b.

d.

____ 11. Simplify .

a.

c.

b. d.

____ 12. Write the number 6.54 107 in standard notation.

a. 0 c. 65,400,000

b. 6,540,000 d. 654,000,000

____ 13. Write the number 9.91 106 in standard notation.

a. 0.0000991 c. 0.00000991

b. 9,910,000 d. 0.000000991

____ 14. Write the number 230,000 in scientific notation.

a. 0 c. 2.3 105

b. d.

____ 15. Write the number 0.000000001 in scientific notation.

a. c. 0

b. d. 1.0 109

____ 16. The planet Venus has an average distance from the sun of about 67,200,000 miles. Write this number in

scientific notation.

a. 6.72 107 c. 67.2 10

b. 6.72 106 d. 0.672 10

____ 17. Suppose a sheet of 100 stamps is 0.77 millimeters thick. If a stack of sheets contains 100,000 stamps, how

many millimeters thick is the stack? Write the answer in scientific notation.

a. 7.7 104 mm c. mm

b. 7.7 102 mm d. 0 mm

____ 18. The attendance at a parade was 6.73 104 people. The attendance at a rally was 6.75 10

4 people. Which

event had the higher attendance?

a. rally b. parade

____ 19. Find the two square roots of the number 144.

a. 36, –36 c. 11, –11

b. 72, –72 d. 12, –12

____ 20. A square room has a tiled floor with 81 square tiles. How many tiles are along an edge of the room?

a. 9 tiles c. 40 tiles

b. 11 tiles d. 20 tiles

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____ 21. A square mosaic is made of small glass squares. If there are 196 small squares in the mosaic, how many are

along an edge?

a. 98 squares c. 14 squares

b. 49 squares d. 16 squares

____ 22. Simplify .

a. 13.3 c. 10

b. 44 d. 27

____ 23. Simplify .

a. 1,921 c. 11

b. –1 d. 7.81

____ 24. The square root is between two consecutive integers. Name the integers.

a. 102, 104 c. 10, 11

b. 15, 16 d. 25, 26

____ 25. A chessboard is made of 64 small squares. Suppose a single square on a chessboard has an area of 6 square

centimeters. How long is one side of the entire board, rounded to the nearest tenth of a centimeter?

a. 2.4 cm c. 9.8 cm

b. 156.8 cm d. 19.6 cm

____ 26. Elena needs to cut a square piece of wood with an area of 69 square inches. How long should the sides of the

square be, rounded to the nearest tenth of an inch?

a. 7 in. c. 34.5 in.

b. 8.3 in. d. 17.3 in.

____ 27. Approximate to the nearest hundredth.

a. 12.57 c. 16.57

b. 16.62 d. 8.52

____ 28. Approximate to the nearest hundredth.

a. 14.63 c. 15.92

b. 15.1 d. 13.27

____ 29. Use a calculator to find . Round your answer to the nearest tenth.

a. 17.44 c. 17.02

b. 13.2 d. 17.4

____ 30. Randal’s dad is installing a new pool in their backyard. The pool is a square and has an area of 121 ft .

Randal’s dad will then build a 7 ft wide deck to surround the pool. What is the outside perimeter of the deck?

pool

deck

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a. 28 ft c. 72 ft

b. 100 ft d. 44 ft

____ 31. Write all names that apply to the number .

a. real

b. real, rational

c. real, irrational

d. rational, integer, whole, natural

____ 32. State if the number is rational or irrational.

a. irrational b. rational

____ 33. State if the number is rational, irrational, or not a real number.

a. irrational b. not a real number c. rational

____ 34. Find a real number between 13

5 and 1

4

5.

a. 12

5 c. 1

7

10

b. 11

15 d. 2

1

4

____ 35. Identify the number as rational or irrational.

a. irrational b. rational

____ 36. Find the length of the hypotenuse. Round your answer to the nearest tenth.

6

1c

a. 6.1 units c. 7 units

b. 37 units d. 2.6 units

____ 37. Find the length of the hypotenuse. Round your answer to the nearest hundredth.

3

7

c

a. 9.49 c. b. 3.16 d. 10.00

____ 38. Find the length of the unknown side. Round your answer to the nearest tenth.

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a

15 m

17 m

a. 8 m c. 2 m

b. 22.7 m d. 64 m

____ 39. Harry and Selma start driving from the same location. Harry drives 42 miles north while Selma drives 144

miles east. How far apart are Harry and Selma when they stop?

a. 1,764 mi c. 22,500 mi

b. 150 mi d. 20,736 mi

____ 40. A community is building a square park with sides that measure 120 meters. To separate the picnic area from

the play area, the park is split by a diagonal line from opposite corners. Determine the approximate length of

the diagonal line that splits the square. If necessary, round your answer to the nearest meter.

Picnic area

Play area

120

m

120 m a. 28,800 meters c. 240 meters

b. 170 meters d. 120 meters

____ 41. Tell whether the given side lengths form a right triangle.

6, 11, 16

a. Yes b. No

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7th Grade Adv. Math 1st Semester Review Ch.3

Answer Section

MULTIPLE CHOICE

1. C

2. D

3. D

4. D

5. C

6. A

7. A

8. B

9. C

10. B

11. C

12. C

13. C

14. C

15. D

16. A

17. B

18. A

19. D

20. A

21. C

22. C

23. C

24. C

25. D

26. B

27. A

28. B

29. D

30. B

31. B

32. B

33. A

34. C

35. B

36. A

37. C

38. A

39. B

40. B

41. B

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7th Grade Adv. Math 1st Semester Review Ch.4

Multiple Choice

Identify the choice that best completes the statement or answers the question.

____ 1. A factory worker can package 150 games in 15 minutes. How many games can he package per minute?

a. 20 c. 8.33

b. 135 d. 10

____ 2. A professional cyclist is training for the Tour de France. What was his average speed in miles per hour if he

rode the 120 miles from Laval to Blois in 4.7 hours? Round your answer to the nearest tenth.

a. 25.5 mph c. 70.4 mph

b. 115.3 mph d. 564.0 mph

____ 3. Cereal is on sale this week. Is it a better buy to get the 10-ounce box for $1.95 or the 14-ounce box for $2.81?

a. 10-oz. box b. 14-oz. box

____ 4. Ellen needs new socks. Her mother can buy a package of 6 pairs of socks for $3.25 or a package of 9 pairs for

$4.75. Which is the better buy?

a. package of 6 b. package of 9

____ 5. Tell whether the ratios are proportional.

a. no b. yes

____ 6. Gabriel got 15 out of 16 problems right on his math test. On his history test, he correctly answered 46 out of

49 questions. Were his results on the two tests proportional?

a. no b. yes

____ 7. At a hardware superstore, you can buy a set of 6 wrenches for $10, and a set of 19 screwdrivers for $31. Are

these prices proportional?

a. yes b. no

____ 8. Solve the proportion .

a. z = 36 c. z = 144

b. z = 12 d. z = 1

____ 9. Solve the proportion.

a. k = 132 c. k = 5

b. k = 6.6 d. k = 2.42

____ 10. The Anderson family is preparing for a family reunion. They think they will need 8 juice boxes for every 4

children who attend. How many juice boxes will they need if they are expecting 26 children?

a. 208 juice boxes c. 32 juice boxes

b. 52 juice boxes d. 8 juice boxes

____ 11. To make 6 dozen cookies, you must use 2 eggs. How many eggs are needed to make 42 dozen cookies? Use a

proportion to solve.

a. 4 eggs c. 126 eggs

b. 14 eggs d. 7 eggs

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____ 12. In her catering business, Judith usually estimates that 8 pounds of meat will feed about 36 people. How many

pounds of meat should she prepare if she is expecting 144 people?

a. 12 lb c. 648 lb

b. 2 lb d. 32 lb

____ 13. Tell whether and could be similar.

A

BC

6

8

6

X

YZ

3

4

3

a. are not similar b. could be similar

____ 14. Tell whether trapezoid ABCD and trapezoid WXYZ could be similar.

16

18

22

18

A B

CD

5

6

9

6

W X

YZ

a. are not similar b. could be similar

____ 15. Which rectangles are similar?

6

51

9

7.5

2

15

123

a. 2 and 3 b. 1 and 2 c. 1 and 3

____ 16. Mona needs to photocopy a 15 centimeters wide by 16 centimeters long picture. She wants to enlarge the

picture so that its length will be 48 centimeters. How wide will the enlarged picture be?

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a. 45 cm c. 144 cm

b. 47 cm d. 51.2 cm

____ 17. On the plans for a new house, the house is 18 inches wide by 20 inches long. If the house is actually going to

be 27 feet wide, what will the actual length of the house be?

a. 40.5 ft c. 24.3 ft

b. 25 ft d. 30 ft

____ 18. In the gift shop of the History of Flight museum, Elisa bought a kit to make a model of a jet airplane. The

actual plane is 21 feet long with a wingspan of 17.5 feet. If the finished model will be 12 inches long, what

will the wingspan be?

a. 30.6 in. c. 14.4 in.

b. 10 in. d. 5 in.

____ 19. Monique is using similar triangles in her graphic-design project. The triangles are isosceles. One has a base of

8 inches and legs of 6 inches. If the other triangle has a base of 18 inches, how long are the legs?

a. 2.7 in. c. 13.5 in.

b. 24 in. d. 6.75 in.

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7th Grade Adv. Math 1st Semester Review Ch.4

Answer Section

MULTIPLE CHOICE

1. D

2. A

3. A

4. B

5. A

6. A

7. B

8. C

9. B

10. B

11. B

12. D

13. B

14. A

15. B

16. A

17. D

18. B

19. C

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7th Grade Adv. Math 1st Semester Review Ch.5

Multiple Choice

Identify the choice that best completes the statement or answers the question.

____ 1. Name two acute angles in the figure.

RQ S

T

V

W45°

45°

30°

60°

a. QRT, VRW c. QRT, VRS

b. QRV, VRS d. QRW, TRW

____ 2. Name two acute angles in the figure.

H J

K L

45° 45°90°

I

a. HIK, JIL c. LIK, KIJ

b. HIK, HIL d. HIL, KIJ

____ 3. Name two obtuse angles in the figure.

RQ S

T

V

W45°

45°

30°

60°

a. QRW, TRW c. QRV, VRS

b. SRW, VRW d. QRT, TRS

____ 4. Name two obtuse angles in the figure.

H J

K L

45° 45°90°

I

a. HIK, JIL c. HIK, HIL

b. HIL, KIJ d. LIK, KIJ

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____ 5. Name a pair of complementary angles in the figure.

RQ S

T

V

W45°

45°

30°

60°

a. QRV, VRS c. QRV, VRW

b. QRT, VRS d. VRW, SRW

____ 6. Name a pair of complementary angles in the figure.

H J

K L

45° 45°90°

I

a. HIK, JIK c. LIK, KIJ

b. HIK, LIJ d. HIK, HIL

____ 7. Name two pairs of supplementary angles in the figure.

RQ S

T

V

W45°

45°

30°

60°

a. QRV, VRS

QRT, TRS

c. QRT, VRS

QRW, VRS

b. QRV, VRW

QRW, VRS

d. QRT, TRV

SRW, WRV

____ 8. Name two pairs of supplementary angles in the figure.

H J

K L

45° 45°90°

I

a. HIK, LIJ

JIK, KIH

c. HIK, HIL

KIL, JIK

b. LIK, KIJ

HIK, HIL

d. HIK, JIK

HIL, LIJ

____ 9. Find the unknown angle measure. The angles are complementary.

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32° b

a. b = 58° c. b = 122°

b. b = 68° d. b = 148°

____ 10. Find the unknown angle measure. The angles are supplementary.

78° c

a. c = 112° c. c = 168°

b. c = 12° d. c = 102°

____ 11. Find the unknown angle measure.

58°

f

a. f = 122° c. f = 58°

b. f = 32° d. f = 116°

____ 12. Find the unknown angle measure.

96°

g

a. g = 186° c. g = 96°

b. g = 84° d. g = 6°

____ 13. In the figure, 1 and 3 are vertical angles, and 2 and 4 are vertical angles.

If m 4 = 100 , find m 2.

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1 2

4 3

a. 190 c. 100

b. 10 d. 80

____ 14. In the figure, 1 and 3 are vertical angles, and 2 and 4 are vertical angles.

If m 1 = n , find m 3.

1 2

4 3

a. 180 – n c. n

b. 90 + n d. 90 – n

____ 15. In the figure, the angles are formed by a transversal and two parallel lines. Which angles seem to be

congruent?

124

3

5

7

68

a. 1 3 5 7;

2 4 6 8

c. 1 2 3 4;

5 6 7 8

b. 1 4 5 8;

2 3 6 7

d. 1 2 5 6;

3 4 7 8

____ 16. The angles are formed by a transversal and two parallel lines. Which angles seem to be congruent?

12

43

57

6

8

a. 1 3 5 7;

2 4 6 8

c. 1 2 5 6;

3 4 7 8

b. 1 4 5 8;

2 3 6 7

d. 1 2 3 4;

5 6 7 8

____ 17. In the figure, line m line n. Find the measure of 4.

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1263°

3

5

7

64

n

m

p

a. 63° c. 27°

b. 117° d. 153°

____ 18. In the figure, line m line n. Find the measure of 7.

1263°

3

5

7

64

n

m

p

a. 63° c. 117°

b. 27° d. 153°

____ 19. In the figure, line g line h. Find the measure of 4.

1

2161°

3

57

64

f

g

h

a. 19° c. 29°

b. 161° d. 151°

____ 20. Find m in the acute triangle.

66°

52°

a. 52° c. 62°

b. 118° d. 66°

____ 21. Find n in the obtuse triangle.

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24°

n°136°

a. 24° c. 160°

b. 20° d. 136°

____ 22. Find g in the right triangle.

56°

a. 146° c. 56°

b. 34° d. 124°

____ 23. Find the angle measures in the equilateral triangle.

q° q°

a. q = 120° c. q = 30°

b. q = 180° d. q = 60°

____ 24. Find the angle measures in the scalene triangle.

3f

6f

f

a. f = 36°, 3f = 108°, 6f = 216° c. f = 25°, 3f = 75°, 6f = 175°

b. f = 18°, 3f = 54°, 6f = 108° d. f = 9°, 3f = 27°, 6f = 54°

____ 25. Find the angle measures in the isosceles triangle.

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44°

a. f = 18° c. f = 68°

b. f = 118° d. f = 11.7°

____ 26. Tell whether a triangle can have sides with lengths 5, 11, and 7.

a. Yes b. No

____ 27. Tell whether a triangle can have sides with lengths 1, 2, and 3.

a. No b. Yes

____ 28. Tell whether a triangle can have sides with lengths 4, 2, and 7.

a. No b. Yes

____ 29. Graph the polygon with the given vertices. Give the most descriptive name for the polygon.

M(–2, –2), N(–2, 2), P(4, 2), Q(–4, –2)

a. Trapezoid c. Quadrilateral

b. Rectangle d. Parallelogram

____ 30. Graph the quadrilateral with the given vertices. Give the most descriptive name for the polygon.

F(1, 2), G(3, 0), H(1, –2), J(–1, 0)

a. Parallelogram c. Square

b. Rhombus d. Rectangle

____ 31. Find the coordinates of the missing vertex of rectangle ABCD with A(–5, 4), B(2, 4), and D(–5, –2).

a. (2, –2) c. (1, –2)

b. (–12, 10) d. (2, 4)

____ 32. Find the coordinates of the midpoint of with endpoints C(1, –6) and M(7, 5).

C

M

2 4 6 8–2–4–6–8 x

2

4

6

8

–2

–4

–6

–8

y

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a. (3, 1) c. (4, 1

2)

b. (8, –1) d. (41

2,

1

2)

____ 33. Write a congruence statement for the pair of congruent polygons.

a. Quadrilateral EFGH quadrilateral NKLM.

b. Quadrilateral EFGH quadrilateral MNKL

c. Quadrilateral EFGH quadrilateral KLMN

d. Quadrilateral EFGH quadrilateral LMNK

____ 34. Write a congruence statement for the pair of congruent polygons.

a. Triangle HFG is congruent to triangle KLJ.

b. Triangle FGH triangle LJK

c. Triangle FGH triangle JKL

d. Triangle FGH triangle KLJ

____ 35. In the figure, hexagon PQRSTU hexagon ABCDEF.

Find s.

68°

158°

93°

(4s)°

(2w)°19 19

12

134°

a. s = 17 c. s = 79

b. s = 4 d. s = 272

____ 36. In the figure, quadrilateral ABCD quadrilateral GJIH.

Find x.

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48°62°

62°

90°

30

(6t)° 9

x/3

h

a. x = 12 c. x = 15

b. x = 26 d. x = 27

____ 37. In the figure, quadrilateral RSTU quadrilateral HIFG.

Find g.

61°

20

(b – 14)°

10

84°

a4g

75°

11

61°

a. g = 4 c. g = 80

b. g = 5 d. g = 98

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7th Grade Adv. Math 1st Semester Review Ch.5

Answer Section

MULTIPLE CHOICE

1. A

2. A

3. A

4. B

5. D

6. B

7. A

8. D

9. A

10. D

11. A

12. C

13. C

14. C

15. A

16. A

17. A

18. C

19. B

20. C

21. B

22. B

23. D

24. B

25. C

26. A

27. A

28. A

29. B

30. C

31. A

32. C

33. B

34. D

35. A

36. D

37. B