Math 8 Spring 2007 SOL Released Test Property of the Virginia Department of Education ©2007 by the...

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Math 8 Spring 2007 SOL Released Test Property of the Virginia Department of Education ©2007 by the Commonwealth of Virginia, Department of Education, P.O. Box 2120, Richmond, Virginia 23218-2120. All rights reserved. Except as permitted by law, this material may not be reproduced or used in any form or by any means, electronic or mechanical, including photocopying or recording, or by any information storage or retrieval system, without written permission from the copyright owner. Commonwealth of Virginia public school educators may reproduce any portion of these released tests for non-commercial educational purposes without requesting permission. All others should direct their written requests to the Virginia Department of Education, Division of Student Assessment and School Improvement, at the above address or by e-mail to [email protected].

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Transcript of Math 8 Spring 2007 SOL Released Test Property of the Virginia Department of Education ©2007 by the...

Page 1: Math 8 Spring 2007 SOL Released Test Property of the Virginia Department of Education ©2007 by the Commonwealth of Virginia, Department of Education, P.O.

Math 8

Spring 2007 SOL Released TestProperty of the Virginia Department of Education

©2007 by the Commonwealth of Virginia, Department of Education, P.O. Box 2120, Richmond, Virginia 23218-2120.All rights reserved. Except as permitted by law, this material may not be reproduced or used in any form or by any means, electronic or mechanical, including photocopying or recording, or by any information storage or retrieval

system, without written permission from the copyright owner. Commonwealth of Virginia public school educators may reproduce any portion of these released tests for non-commercial educational purposes without requesting permission. All others should direct their written requests to the Virginia Department of Education, Division of

Student Assessment and School Improvement, at the above address or by e-mail to [email protected].

Page 2: Math 8 Spring 2007 SOL Released Test Property of the Virginia Department of Education ©2007 by the Commonwealth of Virginia, Department of Education, P.O.

Which is equivalent to this expression?(6 − 3)4

1280 81 12 7

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. 1,280B. 81C. 12D. 7

Page 3: Math 8 Spring 2007 SOL Released Test Property of the Virginia Department of Education ©2007 by the Commonwealth of Virginia, Department of Education, P.O.

Which set contains √7?

{Rational n

umbers}

{Natu

ral numbers}

{Irra

tional numbers}

{Inte

gers}

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. {Rational numbers}B. {Natural numbers}C. {Irrational numbers}D. {Integers}

Page 4: Math 8 Spring 2007 SOL Released Test Property of the Virginia Department of Education ©2007 by the Commonwealth of Virginia, Department of Education, P.O.

Which number is not equivalent to the other three?

0.8 × 12

8 × 102

80 × 101

800 × 11

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. 0.8 × 12

B. 8 × 102

C. 80 × 101

D. 800 × 11

Page 5: Math 8 Spring 2007 SOL Released Test Property of the Virginia Department of Education ©2007 by the Commonwealth of Virginia, Department of Education, P.O.

Which number has the least value?

7.63 × 104

3.55 × 106

9.98 × 103

1.05 × 105

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. 7.63 × 104

B. 3.55 × 106

C. 9.98 × 103

D. 1.05 × 105

Page 6: Math 8 Spring 2007 SOL Released Test Property of the Virginia Department of Education ©2007 by the Commonwealth of Virginia, Department of Education, P.O.

Which of the following has a different value than the others?

6/8 3/4 50% .75

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. 6/8B. 3/4C. 50%D. 0.75

Page 7: Math 8 Spring 2007 SOL Released Test Property of the Virginia Department of Education ©2007 by the Commonwealth of Virginia, Department of Education, P.O.

Which subset of real numbers does not contain the number 1?

Whole numbers

Irrational n

umbers

Inte

gers

Natu

ral n

umbers

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. Whole numbersB. Irrational numbersC. IntegersD. Natural numbers

Page 8: Math 8 Spring 2007 SOL Released Test Property of the Virginia Department of Education ©2007 by the Commonwealth of Virginia, Department of Education, P.O.

Which operation should be performed first to simplify the following?15 - 9 ÷ (-3)2

Subtra

ct 9 fr

om 15

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. Subtract 9 from 15B. Divide 9 by (−3)C. Multiply 2 times (−3)D. Square(−3)

Page 9: Math 8 Spring 2007 SOL Released Test Property of the Virginia Department of Education ©2007 by the Commonwealth of Virginia, Department of Education, P.O.

What is the value of (n−2)2 + n−1 when n = 4?

7 9 15 17

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. 7B. 9C. 15D. 17

Page 10: Math 8 Spring 2007 SOL Released Test Property of the Virginia Department of Education ©2007 by the Commonwealth of Virginia, Department of Education, P.O.

The scale blueprint of a rectangular patio is drawn ⅛ inch to 1 foot. If the patio is 14 feet long, what is

the measure of the patio’s length on the blueprint?

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. AB. BC. CD. D

Page 11: Math 8 Spring 2007 SOL Released Test Property of the Virginia Department of Education ©2007 by the Commonwealth of Virginia, Department of Education, P.O.

Which of the following is a perfect square?

5 10 11 16

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. 5B. 10C. 11D. 16

Page 12: Math 8 Spring 2007 SOL Released Test Property of the Virginia Department of Education ©2007 by the Commonwealth of Virginia, Department of Education, P.O.

Fuji apples sold for $1.29 per pound while Golden Delicious apples were on sale for $0.89 per pound. Sandi bought 3½ pounds of each kind. How much

more did she pay for the Fuji apples than the Golden Delicious apples?

$1.40 $3.12 $4.51 $7.63

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. $1.40B. $3.12C. $4.51D. $7.63

Page 13: Math 8 Spring 2007 SOL Released Test Property of the Virginia Department of Education ©2007 by the Commonwealth of Virginia, Department of Education, P.O.

If x = 8, what is the value of this expression?

-2.5 -1 1 2.5

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. -2.5B. -1C. 1D. 2.5

Page 14: Math 8 Spring 2007 SOL Released Test Property of the Virginia Department of Education ©2007 by the Commonwealth of Virginia, Department of Education, P.O.

Which number is a perfect square?

1 2 5 8

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. 1B. 2C. 5D. 8

Page 15: Math 8 Spring 2007 SOL Released Test Property of the Virginia Department of Education ©2007 by the Commonwealth of Virginia, Department of Education, P.O.

Harry and Connie bought tomatoes at the farmer’s market. Harry paid $4.32 for 6

pounds of tomatoes. At that rate, how much should Connie have paid for 5 pounds of

tomatoes?

$2.16 $3.60 $5.04 $5.18

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. $2.16B. $3.60C. $5.04D. $5.18

Page 16: Math 8 Spring 2007 SOL Released Test Property of the Virginia Department of Education ©2007 by the Commonwealth of Virginia, Department of Education, P.O.

Dale drew triangle DOG with the given measurements. What is the measure of DG ?

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. 17 cmB. 13 cmC. 11 cmD. 7 cm

Page 17: Math 8 Spring 2007 SOL Released Test Property of the Virginia Department of Education ©2007 by the Commonwealth of Virginia, Department of Education, P.O.

Triangle CAT was in Cedric’s mathematics book. Which is the hypotenuse of the triangle?

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. ∠TACB. TAC. ∠CTAD. CT

Page 18: Math 8 Spring 2007 SOL Released Test Property of the Virginia Department of Education ©2007 by the Commonwealth of Virginia, Department of Education, P.O.

This shows 3 different views of a three-dimensional figure made from cubes. Which could

be a drawing of the figure?25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. AB. BC. CD. D

A. B. C. D.

Page 19: Math 8 Spring 2007 SOL Released Test Property of the Virginia Department of Education ©2007 by the Commonwealth of Virginia, Department of Education, P.O.

Betty added a support to her metal shelves. If ∠SMO measures 45°, what is the measure of

∠SMN?

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. 45°B. 90°C. 135°D. 180°

Page 20: Math 8 Spring 2007 SOL Released Test Property of the Virginia Department of Education ©2007 by the Commonwealth of Virginia, Department of Education, P.O.

If all measurements of the right prisms and cylinders are in inches, which container has the

greatest volume?25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. AB. BC. CD. D

A. B. C. D.

Page 21: Math 8 Spring 2007 SOL Released Test Property of the Virginia Department of Education ©2007 by the Commonwealth of Virginia, Department of Education, P.O.

Which statement about the volumes of the two pyramids shown is true?

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. The volume of Pyramid II is 10 times the volume of Pyramid I.

B. The volumes of Pyramid II and Pyramid I are the same.C. Pyramid II has 10 more cubic feet of volume than

Pyramid I.D. Pyramid II has 30 more cubic feet of volume than

Pyramid I.

Page 22: Math 8 Spring 2007 SOL Released Test Property of the Virginia Department of Education ©2007 by the Commonwealth of Virginia, Department of Education, P.O.

Which is closest to the surface area of a cone with dimensions as shown?

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. 66 mm2

B. 75 mm2

C. 113 mm2

D. 207 mm2

Page 23: Math 8 Spring 2007 SOL Released Test Property of the Virginia Department of Education ©2007 by the Commonwealth of Virginia, Department of Education, P.O.

Lines l and m intersect, forming the angles indicated in the drawing. Which of the following

statements must be true?

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. ∠1 is congruent to 2.∠B. ∠1 is supplementary to 3.∠C. ∠2 is congruent to 4.∠D. ∠2 is supplementary to 4.∠

Page 24: Math 8 Spring 2007 SOL Released Test Property of the Virginia Department of Education ©2007 by the Commonwealth of Virginia, Department of Education, P.O.

A figure has the views shown. Which represents the figure?

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. AB. BC. CD. DA. B. C. D.

Page 25: Math 8 Spring 2007 SOL Released Test Property of the Virginia Department of Education ©2007 by the Commonwealth of Virginia, Department of Education, P.O.

Two lines and a ray intersect at a single point as shown below. In the drawing above, what is m 1 ∠

if m 2 = 40°?∠

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. 40°B. 45°C. 50°D. 55°

Page 26: Math 8 Spring 2007 SOL Released Test Property of the Virginia Department of Education ©2007 by the Commonwealth of Virginia, Department of Education, P.O.

Which matrix has a 2 and a 5 in the same column?

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. AB. BC. CD. DA. B. C. D.

Page 27: Math 8 Spring 2007 SOL Released Test Property of the Virginia Department of Education ©2007 by the Commonwealth of Virginia, Department of Education, P.O.

During basketball practice, Jada attempted 52 free throws and made 16 of them. Based on that rate,

what is the probability that she will make the nextfree throw she attempts?

A B C D

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. AB. BC. CD. D

Page 28: Math 8 Spring 2007 SOL Released Test Property of the Virginia Department of Education ©2007 by the Commonwealth of Virginia, Department of Education, P.O.

Rocky has a 3/140 chance of winning a trip to New York City. Which of the following best

describes Rocky’s chances of winning the trip?

It is

certa

in that R

ocky w

...

It is

likely

that R

ocky w

il...

It is

unlikely

that R

ocky ...

It is

impossi

ble that R

oc..

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. It is certain that Rocky will win the trip.

B. It is likely that Rocky will win the trip.

C. It is unlikely that Rocky will win the trip.

D. It is impossible that Rocky will win the trip.

Page 29: Math 8 Spring 2007 SOL Released Test Property of the Virginia Department of Education ©2007 by the Commonwealth of Virginia, Department of Education, P.O.

Which is a 2-by-6 matrix?

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. AB. BC. CD. D

A. B.

C. D.

Page 30: Math 8 Spring 2007 SOL Released Test Property of the Virginia Department of Education ©2007 by the Commonwealth of Virginia, Department of Education, P.O.

A function of x containing four ordered pairs of the form (x, y) is shown below. {(1,3),(2,4),(5,7),(6,8)}

What is the domain of the function?

{1,2,5,6}

{3,4,7,8}

{1,2,3,4}

{5,6,7,8}

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. {1,2,5,6}B. {3,4,7,8}C. {1,2,3,4}D. {5,6,7,8}

Page 31: Math 8 Spring 2007 SOL Released Test Property of the Virginia Department of Education ©2007 by the Commonwealth of Virginia, Department of Education, P.O.

Given the function of x defined byy = 3x + 5,

if the domain is {−4,−1,2,5}, what is the range?

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. {−20,−11,−2,7}B. {−7,−3,−2,−1}C. {−3,−2,−1,0}D. {−7,2,11,20}

Page 32: Math 8 Spring 2007 SOL Released Test Property of the Virginia Department of Education ©2007 by the Commonwealth of Virginia, Department of Education, P.O.

Which statement generalizes the pattern shown in the table below?

25% 25%25%25%

A. Choice OneB. Choice TwoC. Choice ThreeD. Choice Four

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

Page 33: Math 8 Spring 2007 SOL Released Test Property of the Virginia Department of Education ©2007 by the Commonwealth of Virginia, Department of Education, P.O.

What is the solution to

4 6 96144

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. 4B. 6C. 96D. 144

Page 34: Math 8 Spring 2007 SOL Released Test Property of the Virginia Department of Education ©2007 by the Commonwealth of Virginia, Department of Education, P.O.

The formula shows that c, the total cost of buying pizzas at Al’s Restaurant, depends on p, the number

of pizzas ordered.c = 9p

What is the independent variable in the formula?

p c 9 =

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. pB. cC. 9D. =

Page 35: Math 8 Spring 2007 SOL Released Test Property of the Virginia Department of Education ©2007 by the Commonwealth of Virginia, Department of Education, P.O.

A. 275B. 27.5C. 9.09D. 9

What is the solution to the proportion below?

27527.5

9.09 9

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

Page 36: Math 8 Spring 2007 SOL Released Test Property of the Virginia Department of Education ©2007 by the Commonwealth of Virginia, Department of Education, P.O.

Which table could be used to graph the following?

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. AB. BC. CD. D

A. B. C. D.

Page 37: Math 8 Spring 2007 SOL Released Test Property of the Virginia Department of Education ©2007 by the Commonwealth of Virginia, Department of Education, P.O.

Which is the closest to the circumference of a circle with a diameter of 17 inches?

27 in.

53 in.

227 in.

907 in.

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. 27 in.B. 53 in.C. 227 in.D. 907 in.

Page 38: Math 8 Spring 2007 SOL Released Test Property of the Virginia Department of Education ©2007 by the Commonwealth of Virginia, Department of Education, P.O.

A cylindrical chemical tank is 12 feet high and has a diameter of 45 feet.Which is closest to the number of cubic feet of liquid the tank will hold?

3815119076

15890141

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. 38,151B. 19,076C. 15,890D. 141

Page 39: Math 8 Spring 2007 SOL Released Test Property of the Virginia Department of Education ©2007 by the Commonwealth of Virginia, Department of Education, P.O.

Which is true for all pairs of values in the table below?

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. AB. BC. CD. D

A. B.

C. D.

Page 40: Math 8 Spring 2007 SOL Released Test Property of the Virginia Department of Education ©2007 by the Commonwealth of Virginia, Department of Education, P.O.

What value of x makes the following statement true?19 = 5x + 4

23 15 4 3

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. 23B. 15C. 4D. 3

Page 41: Math 8 Spring 2007 SOL Released Test Property of the Virginia Department of Education ©2007 by the Commonwealth of Virginia, Department of Education, P.O.

Which is one of the solutions to the following?2x + 4 < 12

6 5 4 3

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. 6B. 5C. 4D. 3

Page 42: Math 8 Spring 2007 SOL Released Test Property of the Virginia Department of Education ©2007 by the Commonwealth of Virginia, Department of Education, P.O.

Which is a table of ordered pairs defined by y = 2x − 12?

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. AB. BC. CD. D

A. B.

C. D.

Page 43: Math 8 Spring 2007 SOL Released Test Property of the Virginia Department of Education ©2007 by the Commonwealth of Virginia, Department of Education, P.O.

Which table of ordered pairs could be used to graph y = 4x – 5?

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. AB. BC. CD. D

A. B.

C. D.


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