1 Mathematics Test Book 1 Grade 8 March 6 12,2 eveloped and published by TB/McGraw-Hill LL, a subsidiary of The McGraw-Hill ompanies, Inc., 20 Ryan Ra...

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Grade

8

March 6–12, 2008 21004

Developed and published by CTB/McGraw-Hill LLC, a subsidiary of The McGraw-Hill Companies, Inc., 20 Ryan Ranch Road, Monterey, California 93940-5703. Copyright © 2008 by New York State Education Department. All rights reserved. No part of this publication may be reproduced or distributed in any form or by any means, or stored in a database or retrieval system, without the prior written permission of New York State Education Department.

Book 1 TIPS FOR TAKING THE TEST Here are some suggestions to help you do your best:

• Be sure to read carefully all the directions in the test book. • Read each question carefully and think about the answer before choosing your response.

This picture means that you will use your ruler.

■ SECURE MATERIAL ■

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Book 1

Page

1

Sample A What is the shape of each base of a cylinder? A

circle

B

rectangle

C

triangle

D

square

Sample B Use your ruler to help you solve this problem. What is the area, in square centimeters, of the rectangle shown below?

A

15

B

17

C

30

D

34

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Book 1

Page

3

1

In the diagram below, which pair of angles has the same measure?

4

1 3

2

[not drawn to scale]

2

A

1 and 2

B

1 and 4

C

2 and 3

D

2 and 4

Which situation is best represented by the expression 4h 2 ?

A

Kepa spends 4 hours babysitting and 2 hours traveling.

B

Kepa spends 4 hours babysitting and receives $2 in travel expenses.

C

Kepa will be paid $4 for babysitting and spends 2 hours traveling.

D

Kepa will be paid $4 for every hour of babysitting plus $2 for travel costs.

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Book 1

Page

5

3

In the diagram below, line l and line m are parallel.

l m

72

x

[not drawn to scale] What is the measure of x ?

Page

A

18

B

72

C

108

D

162

6

Book 1

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4

g

g

In the diagram below, PQ intersects RT at point S, and the measure of TSQ is 88°.

P

T x

S 88

Q

R

[not drawn to scale] What is the measure, in degrees, of x ?

5

A

88

B

92

C

178

D

268

Simplify the expression below. 5x(2x 5)

A

10x 5

B

10x 2 5

C

10x 25x

D

10x 2 25x

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Book 1

Page

7

6

Rectangle ABCD is formed by triangle ABC and triangle ACD, as shown below.

A

B

D

C

Which side of triangle ABC is the hypotenuse?

7

A

AB

B

AC

C

BC

D

CD

What is the simplified form of the expression below? 8x 6 6x 3 2x 2

Page

A

4x3 3

B

4x4 3

C

4x3 3x

D

4x4 3x

8

Book 1

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8

9

Lamar claims that the weight, w, of her cat is at most 11 pounds. What inequality represents her claim?

A

w 11

B

w 11

C

w 11

D

w 11

In the diagram below, which pair of angles is complementary?

1 2 4 3

[not drawn to scale] A

1 and 2

B

2 and 3

C

2 and 4

D

3 and 4

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Book 1

Page

9

10

11

Page

Jessica went shopping for a new watch. She found a watch that was originally priced at $50 on sale for $40. By what percent had the watch been marked down?

A

10%

B

20%

C

25%

D

40%

Multiply (a 2)(3a 1).

A

3a2 2

B

3a2 5a

C

3a2 4a 2

D

3a2 5a 2

10

Book 1

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12

Use your ruler to help you solve this problem. Diane is taking a trip from Sacramento, California, to Olympia, Washington. Her route is shown on the map below.

Washington Olympia END

Oregon PACIFIC OCEAN

Nevada START

Sacramento

California

KEY 1 inch = 250 miles

According to the map, what is the approximate distance from Sacramento, California, to Olympia, Washington?

A

625 miles

B

750 miles

C

875 miles

D

1,000 miles

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Book 1

Page

11

13

In the diagram below, what is the measure of angle x ?

37

x

[not drawn to scale]

14

Page

A

37

B

53

C

127

D

143

The cost of Cynthia’s dinner is $15.20. She pays an additional tip that is 20% of the cost of the dinner. What is the best estimate for the amount of the tip?

A

$2.00

B

$3.00

C

$4.00

D

$5.00

12

Book 1

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15

g

g

In the diagram below, PQ RS , and transversal t intersects both lines.

t 1 3

P 5 R

7

2 4

Q

6 8

S

[not drawn to scale] Which angle is the same size as 7 ?

16

A

1

B

3

C

4

D

5

Find the value of x in the equation below. 3(x 2) x

A

–3

B

–1

C

2

D

3

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Book 1

Page

13

17

A rectangle is plotted on the coordinate plane below. y 6 4 2 -6

-4

-2

0

2

4

6

x

-2 -4 -6

Which image shows a 90 clockwise rotation about the origin? y

A

-6

-4

-2

y

6

6

4

4

2

2

0

2

4

6

x

C

-6

-4

-2

-2

-2

-4

-4

-6

-6

y

B

Page

14

-6

-4

-2

0

4

6

2

4

6

x

y

6

6

4

4

2

2

0

2

2

4

6

x

D

-6

-4

-2

0

-2

-2

-4

-4

-6

-6

Book 1

x

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18

What verbal expression is the same as the algebraic expression below? 8 3x

19

A

three times a number minus eight

B

three minus eight times a number

C

eight times a number minus three

D

eight minus three times a number

Simplify the expression below. 12x 2y 3 3xy

A

4 xy 2

B

4 x 2y 2

C

4 xy 2

D

4x y2

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Book 1

Page

15

20

Simplify the expression below. 10y 2 15y 2

A

–5

B

5

C

–5y 2

D

–5y 4

21

Use your ruler to help you solve this problem. Each morning, a bird flies from his tree in Montgomery to his favorite feeder in Newburgh, as shown in the scale drawing below.

Montgomery

Newburgh

SCALE 1 inch = 5 miles

Approximately how many miles does the bird fly from the tree to the feeder each morning?

Page

A

2

B

6

C

13

D

18

16

Book 1

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22

In the diagram below, lines a and b are parallel.

a

1 2 4 3 5

6

b

7

8

[not drawn to scale] Which angle is supplementary to 2 ?

23

A

3

B

4

C

5

D

7

Factor the expression below using the greatest common factor (GCF). 12n5 8n3 6n

A

2n(6n4 4n2 3)

B

2n(6n5 4n3 3n)

C

2n(12n5 4n2 6)

D

2n(6n4 8n3 6n)

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Book 1

Page

17

24

25

Which of these phrases best describes a polynomial?

A

a decimal that is non-terminating or non-repeating

B

an algebraic expression containing one or more terms

C

a close-planed figure formed by three or more line segments

D

a number greater than one that has exactly two different factors

Triangle RST is shown below.

R 5

13

S

T

[not drawn to scale] Pythagorean theorem: c2 a2 b2

What is the length of ST ?

Page

A

5

B

8

C

12

D

18

18

Book 1

■ SECURE MATERIAL ■

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26

27

The area of triangle RST is 36 square inches. Under which transformation could the area of the image, triangle R’S’T’, be greater than 36 square inches ?

A

dilation

B

reflection

C

rotation

D

translation

Simplify the expression below. 4k2 5k 3 5k2 2

A

4k2 10k 1

B

9k2 5k 1

C

9k2 7k 3

D

14k2 5k 1

STOP ■ SECURE MATERIAL ■

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Book 1

Page

19

Grade 8 Mathematics Test Book 1 March 6–12, 2008

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