Math 7 Spring 2007 Released SOL Test Property of the Virginia Department of Education ©2007 by the...

Math 7

Spring 2007 Released SOL 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 Student_Assessment@doe.virginia.gov.

Harrison is buying a bicycle for $340. What amount of sales tax must he pay if the sales tax rate is 7%?

$7.00 $23.80 $24.60 $238.00

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. $7.00B. $23.80C. $24.60D. $238.00

Jack spent 30% of the money he earned mowing lawns last summer. If Jack spent $45,

what was the total amount of money he earned mowing lawns last summer?

$15 $75 $150 $195

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. $15B. $75C. $150D. $195

Mike is making a scale model of his favorite car. The actual car is 8 feet long and 4 feet wide. Mike wants his model to be 12 inches in length. Which could be

used to find the width of his model if he uses the same ratio?

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

A. B.

C. D.

Anita put $3,000 in a savings account. The account earns an annual interest rate of 3.5%. How much interest will Anita earn

after her money has been in the account for one year?

$105 $350 $1,050 $2,650

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. $105B. $350C. $1,050D. $2,650

Joe knows a 5-pound turkey breast will feed 8 people. If 20 people are coming to Joe’s home

for dinner, at this rate how many pounds of turkey breast will he need?

7.5 lbs

12.5 lbs

17 lbs

32 lbs

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. 7.5 lbsB. 12.5 lbsC. 17 lbsD. 32 lbs

A dolphin is 30 feet below the surface of the water. She rises 23 feet, sinks 17 feet, and finally rises another 27 feet. If there are no other

changes, the dolphin is —

3 feet a

bove th

e surfa

ce ..

3 feet b

elow the su

rface

..

63 feet a

bove the su

rfac..

.

63 feet b

elow the su

rfac..

.

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. 3 feet above the surface of the water

B. 3 feet below the surface of the water

C. 63 feet above the surface of the water

D. 63 feet below the surface of the water

Use the number line to complete the sentence. The value of y/z will be —

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. negative because both y and z are negative

B. positive because both y and z are negative

C. negative because z is farther from 0 than y

D. positive because y is closer to 0 than z

Which property is shown in the following number sentence?

Multi

plicative id

entity ...

Additive

identity pro

perty

Multi

plicative in

verse

p...

Additive

inve

rse pro

perty

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. Multiplicative identity propertyB. Additive identity propertyC. Multiplicative inverse propertyD. Additive inverse property

Which statement is false?

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

Which number is equivalent to 0.7%?

.007 .07 7 70

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. 0.007B. 0.07C. 7D. 70

Anne’s utility bills for three months were $59, $67, and $33. To add the utility bills mentally, Anne thought

“(59 + 67)+33=59+(67+33)” What property did Anne use?

Inverse

property

of addi...

Identity pro

perty of a

dd...

Commutative pro

perty o...

Associa

tive pro

perty of ..

.

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. Inverse property of additionB. Identity property of additionC. Commutative property of

additionD. Associative property of

addition

exponent

404 6 -6-404

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. 404B. 6C. -6D. -404

Which is correctly written in scientific notation?

5.6×106

56 ×105

5600000

56 milli

on

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. 5.6×106

B. 56 ×105

C. 5,600,000D. 56 million

Which is true?

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. A

B. B

C. C

D. D

Triangle MOE is similar to triangle SAW. Which must be true?

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

A. B.

C. D.

The ordered pair (-3,4) is located in which quadrant of a coordinate plane?

I II III

IV

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. IB. IIC. IIID. IV

Which figure is a decagon?

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.

Which is a parallelogram with all congruent sides?

Trapezoid

Hepta

gon

Rhombus

Deca

gon

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. TrapezoidB. HeptagonC. RhombusD. Decagon

Look at the coordinate grid. Which point is located in Quadrant II?

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. MB. PC. LD. N

Which is most likely not a rhombus?

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.

A cylindrical-shaped water tank has a diameter of 4 feet and is 12 feet tall.

Which is closest to the volume of this tank?

48 cubic

feet

151 cubic

feet

452 cubic

feet

603 cubic

feet

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. 48 cubic feetB. 151 cubic feetC. 452 cubic feetD. 603 cubic feet

Chelsea wants to cover a rectangular prism-shaped box with paper. Which is closest to the

minimum amount of paper Chelsea needs?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. 26 cm2

B. 54 cm2

C. 72 cm2

D. 108 cm2

Pablo has a large, circular rug on his square-shaped bedroom floor. If the diameter of the rug is equal to the length of the bedroom floor, which is closest to

the area of the rug?

38 sq ft

75 sq ft

113 sq ft

144 sq ft

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 sq ftB. 75 sq ftC. 113 sq ftD. 144 sq ft

What is the minimum number of same-sized triangles as the one above that would be required

to form the polygon 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. 3B. 4C. 6D. 8

What is the area of the parallelogram shown?

185 sq ft

230 sq ft

2,600 sq ft

3,250 sq ft

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. 185 sq ftB. 230 sq ftC. 2,600 sq ftD. 3,250 sq ft

Look at the table. Which is equivalent to the total number of sandwich combinations of 1 type of bread, 1 type of meat, and 1 type of cheese?

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. 3 + 4 + 3B. 32 + 4C. (3 × 4) + (3 × 4)D. 3 × 4 × 3

The faces of a fair 6-sided cube are numbered 1 through 6. What is the probability that a 2,

3, or 5 will land face-up on the next roll?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. A

B. B

C. C

D. D

18, 24, 18, 23, 19, 24, 23, 18Which measure has the greatest value for the data listed?

Mode

Mean

Range

Median

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. ModeB. MeanC. RangeD. Median

What is the range of the data?

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. 33B. 44C. 58D. 92

Part of the box-and-whisker plot Jim was creating is shown below. What could be

missing from Jim’s plot?

Upper e

xtreme

Lower e

xtreme

Upper q

uartile

Median

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. Upper extremeB. Lower extremeC. Upper quartileD. Median

Mike has attempted 84 free throws. Of those attempted, 63 have gone in the basket. Based on this rate, what is the probability that Mike’s next

free throw attempt will go in the basket?

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. A

B. B

C. C

D. D

Which is closest to the mean (average) high temperature?

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. 56°FB. 60°FC. 61°FD. 62°F

Jesse has 2 pairs of jeans, 4 sweaters, and 3 pairs of shoes. How many different

combinations of a pair of jeans, a sweater, and a pair of shoes does she have?

8 9 12 24

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. 8B. 9C. 12D. 24

Which of the following is not a necessary calculation for constructing a box and- whisker plot?

Lower e

xtreme

Median

Mean

Upper q

uartile

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. Lower extremeB. MedianC. MeanD. Upper quartile

Freddie has 3 colors of construction paper. He will cut 5 different shapes from each color of

construction paper to make a collage. Which is equivalent to the total number of shapes Freddie

will cut?

5 · 3 5 + 3

5 · 5 · 5

3 · 3 · 3

· 3 · 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. 5 · 3B. 5 + 3C. 5 · 5 · 5D. 3 · 3 · 3 · 3 · 3

Beth will reach into the bag and randomly choose 1 balloon. What is the probability

she will choose a green balloon?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

What is the value of x for which the following is true? 30x = 40

3/4

4/3 10 70

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. 3/4 B. 4/3C. 10D. 70

Which is a value for r that makes the following true? –12 + r > 24

-13 13 -37 37

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. -13B. 13C. -37D. 37

Which is a value for h that makes the following true? –4h ≥ 24

-7 7 -5 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. -7B. 7C. -5D. 5

Which best describes the following? 3x + 5x + 11

Constant

Expre

ssion

Equati

on

Inequality

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. ConstantB. ExpressionC. EquationD. Inequality

Tasha read 200 pages in her book this week. This was 50 more pages than she read last week. How many pages did she read last

week?

4 40150

250

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. 40C. 150D. 250

Which is true for all 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. y = –x + 3B. y = x − 1C. y = x + 1D. y = 2x + 3

Which best represents the number sentence shown? x − 7 = 8

Seven le

ss th

an a number ..

The quotient of x

and 7 i...

Seven ta

ke away a

numb..

A number subtra

cted fr

..

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. Seven less than a number is eight.

B. The quotient of x and 7 is eight.

C. Seven take away a number is eight.

D. A number subtracted from seven is eight.

If z stands for the number, which best represents the sentence below?

Forty less than thirty is a number.

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 − 30 = zB. 30 − 40 = zC. 40 − z < 30D. z − 30 < 40

4x + 4______ Which should be placed on the blank line above to make an

inequality?

= 12 > 12 -12

÷ 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. = 12B. > 12C. - 12D. ÷ 12

If n stands for the number, which best represents the following phrase?

The sum of a number and five divided by fifteen

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. A

B. B

C. C

D. D

Ginni wrote the following geometric sequence in her notebook.3, 9, 27, 81, 243, 729, . . .

What would be the 8th term in Ginni’s sequence?

14582187

58326561

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. 1,458B. 2,187C. 5,832D. 6,561

Which table contains only values that make the following true?

y = 2x + 725% 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.