test06_algebra1

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VIRGINIA STANDARDS OF LEARNING

CORE 1

END OF COURSE

ALGEBRA I

Property of the Virginia Department of Education

All rights reserved. Except as permitted by law, this material may not be reproduced or used in any form or by anymeans, 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 mayreproduce any portion of these released tests for noncommercial educational purposes without requesting permission.All others should direct their written requests to the Virginia Department of Education, Division of Assessment andReporting, at the above address or by e-mail to [email protected].

2007 by the Commonwealth of Virginia, Department of Education, P.O. Box 2120, Richmond, Virginia 23218-2120.

Spring 2006 Released Test


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Algebra I Formula Sheet

Geometric Formulas

Pi

22

7

V = lwhS.A.= 2( lw + lh + wh)

l

h

w13

hl

r

p = 4s A = s 2

s

s

A = h (b1 + b2 )12

b1

b2

h

r

h

p = 2(l + w) A = lw

l

w r

c2 = a 2 + b2

a c

b

Abbreviations

milligram mggram g

kilogram kgmilliliter mLliter Lkiloliter kLmillimeter mmcentimeter cmmeter mkilometer kmsquare centimeter cm 2

cubic centimeter cm 3

volume V

total surface area S.A.area of base B

ounce ozpound lb

quart qtgallon gal.inch in.foot ftyard ydmile mi.square inch sq in.square foot sq ftcubic inch cu in.cubic foot cu ft

year yr

month monhour hrminute minsecond sec

V = BhS.A.= lp + B

13

12

h l

B

A = bh12b

h

A = bhb

b

h

Quadratic Formula

x =b b2 4 ac

2a

Copyright 2006 by the Commonwealth of Virginia Department of Education


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DIRECTIONSRead and solve each question. Then mark thespace on your answer document for the bestanswer. For this test you may assume that thevalue of a denominator is not zero.

SAMPLEIf f ( x) x2 2 x 3, what is the valueof f ( x) when x 6?

A 27B 42C 51D 60

1 A repairman estimated the cost of replacing a part in Mrs. Jamescomputer would be at most $225. Theestimate included $35 for the part, a$40 service charge, and $30 per hourfor labor. What is the maximumnumber of hours the repairmanestimated for the job?

A 412

B 5

C 512

D 6

2 What is the solution to the followingequation?

4 x 1 2 x 5

F x 1G x 2

H x 3J x 4

3 If 14 x 1

152

, then

A x 26

B x 29

C x132

D x 28

Algebra I

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4 The statement

If 12 x 5, then x 10

is justified by the

F associative property of multiplication

G commutative property of multiplicationH addition property of equalityJ multiplication property of equality

5 What are the x- and y-intercepts of theline with equation 4 x 5 y 40?

A x-intercept 10, y-intercept 8B x-intercept 8, y-intercept 10C x-intercept 10, y-intercept 8D x-intercept 8, y-intercept 10

6 Which graph best represents the line

y13 x 2?

5-

5-

4-

4-3-

3-

2-2- 1-

1-O

1

1

2

2

3

3

4

4

5

5 x

y

5-

5-

4-

4-3-

3-

2-2- 1-

1-O

1

1

2

2

3

3

4

4

5

5 x

y

5-

5-

4-

4-3-

3-

2-2- 1-

1-O

1

1

2

2

3

3

4

4

5

5 x

y

5-

5-

4-

4-3-

3-

2-2- 1-

1-O

1

1

2

2

3

3

4

4

5

5 x

y

F

G

H

J

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7 Which is an equation for the line that

passes through the origin and has a

slope of 35

?

A y35

B x35

C y x

D y35 x

8 What is the slope of the line

y 4 x 2?

F 4

G 2

H14

J 2

9 Which line has a y-intercept of 5 andan x-intercept of 1?

y

x0 1

2

3

4

5

1

2

3

4

5

5 4 3 2 1 1 2 3 4 5

y

x0

1 2 3 4 5

1

2

3

4

5

5 4 3 2 1 1 2 3 4 5

y

x0

1

2

3

4

5

1

2

3

4

5

5 4 3 2 1 1 2 3 4 5

y

x0

1

2

3

4

5

1

2

3

4

5

5 4 3 2 1 1 2 3 4 5

A

B

C

D

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10

Which equation best represents theline shown?

F y 2 x 2

G y 2 x 1

H y12 x 2

J y x 2

11

What is the apparent slope of the linegraphed above?

A52

B25

C25

D

52

12 The difference in cost between a largebag of chips and a small bag of chipswas 90. Alicia bought 5 large bags and3 small bags of chips for her party andspent $17.22. What was the cost of asmall bag of chips?

F $5.74G $2.49H $2.15J $1.59

y

x 5 4 3 2 1 1

2

3

4

5

O

1

2

3

4

5

1 2 3 4 5-1

-1

-2

-4

-3

-5

1

1

2

3

4

5

3 52 4-2-3-4-5 O x

y

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13 Which is an equation for the line thatpasses through the points (3, 0) and(0, 2)?

A y32 x 2

B y2

3 x 2

C y23 x 3

D y32 x 3

14 The length of a rectangle is 6 metersmore than its width. If the area is135 square meters, what is its width?

F 5 mG 9 mH 15 mJ 27 m

154 x 5 y 27 x 6 y 2

What is the solution to the system of equations shown above?

A ( 8, 1)

B 0,13

C 1,16

D (5, 6)

16 Which is a solution to the followingequation?

x2 12 x 28 0

F x 14G x 12H x 2J x 0

17 What is the slope of the line through(3, 2) and ( 1, 4)?

A 3

B 32

C23

D32

18 x 2 3 x 0

Which is the solution set for theequation above?

F {0, 3}G { 3, 0}H {1, 3}J {2, 3}

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What is the value of

4m 84m 4

when m 4?

0.5

1.2

1.7

2.0

Joe, who is the youngest member of the wrestling team at Northwood HighSchool, is 5 years less than one-half theage of the coach. If the coach is n yearsold, which expression describes Joesage?

1

2n 5

512

n

2n 5

2n 5

19 20

A

B

C

D

F

G

H

J

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Which expression is equivalent to

4a (3a 5b )?

12a 2 20ab

12a 2 20ab

12a 2 20a

12a 2 9ab

Which is equivalent to (2 a 3b 2c )(3a 4b c ) (a 5b 4c )?

5a 6b c6a 6b c6a 6b c6a 2 6b2 c2

Given the models below, which figurerepresents ( x 2)( x 3)?

What is 108 written in simplestradical form?

2 273 126 318 3

= x 2 = x = 1

21

22

23

24

A

B

C

D

F

G

H

J

A

B

C

D

F

G

H

J

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Which is equivalent to the expressionshown below?

32 3 3

3

11

769

13

When simplified, (2 x2

y3

)4

equals 8 x6 y7

8 x8 y12

16 x6 y7

16 x8 y12

What are factors of 2 x2 9 x 9?

( x 9)( x 1)( x 3)(2 x 3)(2 x 3)( x 3)(2 x 9)( x 1)

x2 81 y2 ?

( x 3 y)( x 27 y)( x 9 y)( x 9 y)( x 9 y)( x 9 y)( x 3 y)( x 27 y)

What is the greatest common monomialfactor of

3 x3 6 xy 9 x2 12 x2 y2 ?

x3 y2

3 x2 y2

3 x

3

25

26

27

28

29

A

B

C

D

F

G

H

J

A

B

C

D

F

G

H

J

A

B

C

D

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The numbers in the table follow alinear pattern.

x y

2 14

4 26

6 38

8 50

28 170

30 ?

What is the missing y value?

182180176172

The table below shows the relationbetween the number of members in aclub selling cookies and the predictednumber of boxes sold.

Club Cookie SalesNumber of

Members, gNumber of

Boxes Sold, b

5 350

10 650

15 950

20 1,250

Using the data shown above, whichequation could be used to predictthe number of boxes of cookies that

the club will sell?b 60 gb 70 gb 60 g 50b 50 g 50

Which is closest to the value of q if

q 177 256 ?

29.324.51.32.7

30

F

G

H

J

31

32

AB

C

D

F

G

H

J

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What is the range of the relationplotted on the graph?

{ 2, 1, 0, 1, 2}{ 2, 1, 0, 2}{ 2, 1, 1, 2}{ 2, 1, 0, 1, 2, 3}

The ordered pairs in the sets shownbelow are of the form ( x, y). In whichset of ordered pairs is y a functionof x?

{( 6, 12), (1, 8), (1, 13)}{(0, 2), (0, 4), (4, 0)}{(7, 1), (7, 2), (7, 3)}{(1, 3), (2, 4), (3, 5)}

If y varies directly as x , what is theequation for the direct variationshown in the table below?

x 2 1 0 1 2

y 14 7 0 7 14

y17

x

y 7 x

y7 x

7 y x

Which of these equations is a directvariation?

y 8 y 8 x y 8 x 1 y 8 x 1

y

x0 1

2

3

4

5

1

2

3

4

5

5 4 3 2 1 1 2 3 4 5

33

34

35

36

A

B

C

D

F

G

H

J

A

B

C

D

F

G

H

J

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What is the range of the function

f ( x)12 x 2 when the domain is

{2, 4, 6}?

{8, 12, 16}

{0, 1, 2}

{ 1, 0, 1}

1, 0,12

Which is a zero of

( x) x2 15 x 54?

35915

If ( x) 7( x 2) 4( x 1),

what is (2)?

9101112

The cost of fabric varies directly with

the amount of fabric purchased. If

123

yards of fabric cost $10.00, how

much would 4 12 yards cost?

$45$27$24$14

37

38

39

40

A

B

C

D

F

G

H

J

A

B

C

D

F

G

H

J

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This matrix shows the number of points scored during the regularseason by the five starting players on abasketball team organized by the kindof shot used to score the points.

3pt 2pt 1pt

Walters

Ruiz

Hays

Park

Kemp

9 30 126 42 149 34 83 12 11

12 26 16

This matrix shows the number of points scored during the playoff tournament.

3pt 2pt 1pt

Walters

Ruiz

Hays

Park

Kemp

3 16 50 24 76 12 50 6 26 14 4

Which matrix shows the points scoredby each player during the entireseason including the playoffs?

A

B

C

D

12 46 146 66 21

15 47 13

3 18 1217 41 20

12 46 17

6 66 2115 46 13

3 18 13

18 40 20

12 46 176 68 21

15 46 13

4 18 1218 41 23

12 46 17

6 66 2115 47 13

4 18 13

17 40 20

0.53 42 6

F3 4

4 12

G3 4

4 12

H1.5 2

1 3

J1.5 2

1 3

43 44

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The stem-and-leaf plots show thenumber of miles per gallon a familyscar and truck averaged over the pastfew months.

What is the difference in the mediannumber of miles per gallon for the twovehicles?

A 7B 9C 10D 11

Tommy and Jeremy are pitchers forthe baseball team and are beingevaluated by the coach. The speeds inmiles per hour of each of their practicepitches are shown below.

Practice Pitch Speeds

Tommy Jeremy

60 63

69 70

85 79

68 67

80 65

73 72

65 68

Which of the following statements istrue regarding their performances?

F Tommy has a lower mean speed.G Tommy has a greater range of speeds.H Tommy has a lower median speed.J Jeremys median speed is higher than

Tommys mean speed.

Stem Leaf1 1, 2, 3, 5, 6, 8, 8, 82 0, 0, 1, 1, 2, 2, 3, 4, 63

Truck

Stem Leaf

1 7, 7, 92 3, 4, 7, 7, 73 0, 1, 1, 2, 3, 4, 4

Car

45 46

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The box-and-whisker plot shows theheights in centimeters of high schoolseniors compared to their heights asfreshmen.

Using the median as the measure,which is closest to the difference inheights between the freshman andsenior years?

A 0 cmB 5 cmC 10 cmD 15 cm

The table shows the life expectancy of a person related to the year of birth.

Year of Birth, x Life Expectancy

in Years, y

1900 47.3

1910 50.0

1920 54.1

1930 59.7

1940 62.9

1950 68.2

1960 69.7

Which equation would give the bestestimate of life expectancy, given theyear of ones birth?

F y 0.45 x 919G y 0.45 x 819H y 0.40 x 893J y 0.40 x 716

150 160 170 180 190 200140

Senior Year

Freshman Year

47 48

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The table below shows the number of boxes of cookies sold by members of two softball teams, the Hawks and theTigers.

Hawks Tigers

14 14

17 53

32 23

37 43

67 37

28 23

37 52

24 14

27 11

18 6

What is the difference in the meannumber of cookies sold by the twoteams?

A 2.5B 4.5C 6D 14

Which scatterplot most likely hasa line of best fit represented by y 3 x 1?

0

9

8

7

6

5

4

3

2

1

9

8

7

6

5

4

3

2

1 9 8 7 6 5 4 3 2 1 987654321

0

9

8

7

6

5

4

3

2

1

9

8

7

6

5

4

3

2

1 9 8 7 6 5 4 3 2 1 987654321

0

9

8

7

6

5

4

3

2

1

9

8

7

6

5

4

3

2

1 9 8 7 6 5 4 3 2 1 987654321

0

9

8

76

5

4

3

2

1

9

8

7

6

5

4

3

2

1 9 8 7 6 5 4 3 2 1 987654321

F

G

H

J

49 50

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Test SequenceNumber Correct Answer

ReportingCategory Reporting Category Description

1 B 003 Equations and Inequalities2 H 003 Equations and Inequalities3 A 003 Equations and Inequalities4 J 003 Equations and Inequalities5 A 003 Equations and Inequalities6 J 003 Equations and Inequalities7 D 003 Equations and Inequalities8 F 003 Equations and Inequalities9 D 003 Equations and Inequalities

10 H 003 Equations and Inequalities11 C 003 Equations and Inequalities12 J 003 Equations and Inequalities13 B 003 Equations and Inequalities14 G 003 Equations and Inequalities15 A 003 Equations and Inequalities

16 F 003 Equations and Inequalities17 B 003 Equations and Inequalities18 F 003 Equations and Inequalities19 B 001 Expressions and Operations20 F 001 Expressions and Operations21 A 001 Expressions and Operations22 H 001 Expressions and Operations23 A 001 Expressions and Operations24 H 001 Expressions and Operations25 D 001 Expressions and Operations26 J 001 Expressions and Operations27 C 001 Expressions and Operations28 H 001 Expressions and Operations29 C 001 Expressions and Operations30 J 001 Expressions and Operations31 A 002 Relations and Functions32 H 002 Relations and Functions33 B 002 Relations and Functions34 J 002 Relations and Functions35 B 002 Relations and Functions36 G 002 Relations and Functions37 C 002 Relations and Functions38 H 002 Relations and Functions39 D 002 Relations and Functions40 G 002 Relations and Functions

41 D 002 Relations and Functions42 H 002 Relations and Functions43 B 004 Statistics44 J 004 Statistics45 A 004 Statistics46 G 004 Statistics47 B 004 Statistics48 J 004 Statistics49 A 004 Statistics50 F 004 Statistics

Answer Key-2A07M


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If you get thismany items

correct:

Then your converted scale

score is:0 000

1 2102 2423 2624 2765 2886 2977 3068 3139 320

10 32711 33212 33813 344

14 34815 35316 35817 36318 36719 37220 37621 38022 38423 38824 39225 39626 401

27 40528 40929 41330 41731 42232 42633 43134 43535 44036 44537 45038 45639 46140 46741 47442 48043 48844 49745 50746 51847 53348 55249 58550 600

Algebra I, Core 1


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test06_algebra1

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