VIRGINIA STANDARDS OF LEARNINGSpring 2009 Released TestEND OF
COURSEALGEBRA IForm M0119, CORE 1This released test contains 3
fewer test items (#1-47 only) than an original SOL EOC Algebra I
test.Property of the Virginia Department of Education2009 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]_1A Release2/19/1012:21
PMPage 1Algebra I Formula SheetGeometric FormulasPi227V = lwhS.A.=
2(lw + lh + wh)lhw13hlrp = 4sA = s2ssA = h(b1+ b2)12b1b2hrhp = 2(l
+ w)A = lwlw rc2= a2+ b2acbAbbreviationsmilligram mggram gkilogram
kgmilliliter mLliter Lkiloliter kLmillimeter mmcentimeter cmmeter
mkilometer kmsquare centimeter cm2cubic centimeter cm3volume Vtotal
surface area S.A.area of base Bounce ozpound lbquart qtgallon
gal.inch in.foot ftyard ydmile mi.square inch sq in.square foot sq
ftcubic inch cu in.cubic foot cu ftyear yrmonth monhour hrminute
minsecond secV = BhS.A.= lp + B1312hlBA = bh12bhA = bhbbhQuadratic
Formulax =b b2 4ac2aCopyright 2006 by the Commonwealth of Virginia
Department of EducationVA517569_1A Release2/19/1012:21 PMPage
2SAMPLEIfwhat is the value of A 27B 42C 51D 60f x x ( ) when ? = 6
f x x x ( ) , = + +22 3Algebra IDirectionsRead each question and
choose the best answer. For this test you may assume that the
valueof the denominator is not zero.3VA517569_1A
Release2/19/1012:21 PMPage 32 Which number is a zero of the
function f ?F 0G 2H 3J 6f x x x ( ) = 261 What is the solution to
the inequality below?ABCD x 11x 11x 8x 82 7 15 x 43 Ifwhat property
of equality justifies writingas A Addition propertyB Transitive
propertyC Symmetric propertyD Substitution propertyp p = 6 4 15 ?p
n p = 2 4 152 6 n = ,VA517569_1A Release2/19/1012:21 PMPage 454 The
equationis shown on the graph below.Which is most likely the graph
ofy x = 3 2 ?-5-5-4-4-3-3-2-2-1-1O12345 1 2 3 45yxy x =
3F-5-5-4-4-3-3-2-2-1-1O12345 1 2 3 45yxG-5-5-4-4-3-3-2-2-1-1O12345
1 2 3 45yxH-5-5-4-4-3-3-2-2-1-1O12345 1 2 3
45yxJ-5-5-4-4-3-3-2-2-1-1O12345 1 2 3 45yxVA517569_1A
Release2/19/1012:21 PMPage 565 What is the slope of the line
represented by the following equation?ABC 1D 2121y x = 2 16 Kristen
heard that it is 82 Fahrenheit outside. She knows that where F
represents the temperature in degrees Fahrenheit and C
representsthe temperature in degrees Celsius. Which is closest to
the temperatureoutside, in degrees Celsius?F 28G 63H 90J 180F C =
9532,VA517569_1A Release2/19/1012:21 PMPage 677 What is the
solution to the system of linear equations below?ABCD (4, ) 1(5, )
2( , ) 6 1( , ) 8 3x yx y = ='!11+11538 Which equation best
describes the line whose graph is shown?FGHJ x =3y =3y x =3y x =
3987654321-1-2-3-4-5-6-7-8-9-9-8-7-6-5-4-3-2 2 1 3 4 5 6 7 8 9-1
OyxVA517569_1A Release2/19/1012:21 PMPage 789 Which graph best
represents the following inequality?y x 132Axy5-5 -4-4-3-3-2-2-1 -1
-O345 1 2 3 4512Bxy5-5 -4-4-3-3-2-2-1 -1 -O345 1 2 3 4512Cxy5-5
-4-4-3-3-2-2-1 -1 -O12345 1 2 3 45Dxy5-5 -4-4-3-3-2-2-1 -1 -O12345
1 2 3 45VA517569_1A Release2/19/1012:21 PMPage 8910 Candice plotted
the pointsand then drew a line throughthese two points. What is the
slope of the line she drew?FGH 7J 81718( , ) and ( , ) 2 15 0 111
Which of the following is the solution set to the equation ABCD 0
28 ,{ }2 14 , { }4 7 ,{ }28 1 ,x x23 28 0 = ?VA517569_1A
Release2/19/1012:21 PMPage 912 Ralph spent $132 to buy movie
tickets for 20 students and 4 adultchaperones. Adult tickets cost
$3 more than student tickets. If A is the priceof an adult ticket
and S is the price of a student ticket, which system ofequations
could be used to find the price of each adult and student
ticket?FGHJA SA S= ='!11+113132A SA S = ='!11+11320 4 132A SA S=
='!11+1134 20 132S AA S= ='!11+1134 20 13213 What is the slope of
the line represented by the following equation?ABCD 4433414 3 0 x y
=10VA517569_1A Release2/19/1012:21 PMPage 1015 What is the solution
of the system of equations shown?ABCD ( ) 6 4 ,( ) 14 4 ,( ) 6 14
,( )6 4 ,2 5 86 4 20x yx y = ='!11+1114 Which is an equation of the
line that passes through the pointsFGHJ y x = 15y x = 30y x = 30y x
= 10(5, ) and ( , ) ? 15 10 201116 What is the solution to the
following equation?FGH 1J 3573 5 10 2 10 ( ) ( ) x x = VA517569_1A
Release2/19/1012:21 PMPage 111217 Which is an equation of a line
with a slope of 3 that passes through the origin?ABCD y x =3x y =3y
=3x =318 Which of the following equalswhen factored completely?FGHJ
( )( ) 3 2 4 x x ( )( ) 3 8 1 x x ( )( ) 3 1 8 x x ( )( ) 3 4 2 x x
3 10 82x x 19 What isexpressed in simplest radical form?ABCD 2 484
126 58 3192VA517569_1A Release2/19/1012:21 PMPage 121320 What is
the value of the expressionifand FG 11H 21J 337y =3 ? x =5 3 4 2 (
) x y ,21 What is the value of the expressionwhenand ABC 6D
3111274y =1 ? x =5142 3( ) x y 22 Which expression is equivalent to
FGHJ 12 6 34 3 2x x x 12 6 32x x 7 5 44 3 2x x x 7 5 42x x 3 4 2 12
2x x x ( ) ?VA517569_1A Release2/19/1012:21 PMPage 131423Based on
the models forx, and 1, which product is represented by the
diagram?ABCD ( )( ) x x x x2 22 3 ( )( ) 2 3 12x x ( )( ) 2 3 1 x x
( )( ) x x 1 3x2,= x = x2=124 Which labeled point on the number
line is closest to the square root of 85 ?F WG XH YJ Z7 8 9 10
11WXYZVA517569_1A Release2/19/1012:21 PMPage 141526 Which of the
following is equivalent to FGHJ xy7 7xyyxxyx yxy4 33 4?25 Which
polynomial is equivalent to the following expression?ABCD x x27 4 x
x23 6 x x27 6 x x23 4 ( ) ( ) 3 2 5 2 5 12 2x x x x 27 A factored
form ofis ABCD ( )( ) x x 6 4( )( ) x x 2 12( )( ) x x 3 8( )( ) x
x 4 6x x25 24 VA517569_1A Release2/19/1012:21 PMPage 151628 Which
is equivalent to the following expression?FGHJ83 3xy63 3xy23
3xy23xy( )23xy29 The length of a certain rectangle is six more than
three times its width. If thewidth of the rectangle is 4 units,
what is its length?A 10B 13C 18D 27VA517569_1A Release2/19/1012:21
PMPage 161730 Which of the following graphs shows a direct
variation?FGHJ987654321-1-2-3-4-5-6-7-8-9-9-8-7-6-5-4-3-2 2 1 3 4 5
6 7 8 9-1 Oyx987654321-1-2-3-4-5-6-7-8-9-9-8-7-6-5-4-3-2 2 1 3 4 5
6 7 8 9-1 Oyx987654321-1-2-3-4-5-6-7-8-9-9-8-7-6-5-4-3-2 2 1 3 4 5
6 7 8 9-1 Oyx987654321-1-2-3-4-5-6-7-8-9-9-8-7-6-5-4-3-2 2 1 3 4 5
6 7 8 9-1 OyxVA517569_1A Release2/19/1012:21 PMPage 1731 Which
graph apparently represents a function of x ?A1124351123453 5 2
42345 OxyB1124351123453 5 2 42345 OxyC1124351123453 5 2 42345
OxyD1124351123453 5 2 42345 Oxy18VA517569_1A Release2/19/1012:21
PMPage 181932 Ifwhat is FGHJ 1144123 54f ( ) ? 5 f xx( ) =
94VA517569_1A Release2/19/1012:21 PMPage 192033 What is the range
of the function shown?ABCD 3 6 y 2 7 y 3 6 x 2 7
x987654321-1-2-3-4-5-6-7-8-9-9-8-7-6-5-4-3-2 2 1 3 4 5 6 7 8 9-1
OyxVA517569_1A Release2/19/1012:21 PMPage 202134 The table gives
the cost for different numbers of 100-sheet notebooks. Thecost, C,
varies directly as the number of notebooks, n.Which equation
represents the relationship shown in the table?FGHJ C n = 2 15 .C n
=2 15 .C n = 4 30 .Cn=2 15 .Number of
notebooks(n)Cost(C)2468$4.30$8.60$12.90$17.2035 A function of x
consists of five ordered pairs of the formFour of theordered pairs
are shown below.Which could be the 5th ordered pair of the
function?ABCD (3, ) 9(5, ) 19(1, ) 49(9, ) 8(1, ), (3, ), ( , ),
(7, ) 9 19 5 29 39( , ). x yVA517569_1A Release2/19/1012:21 PMPage
212236 The number of miles, m, a car can travel varies directly
with the amount ofgas, g, in its fuel tank. If k is the constant of
variation, which equationrepresents that situation?FGHJ m g k = m
kg =mgk=mkg=37 The functiongives the distance left to travel after
driving x hours. What isthe distance left to travel after driving 9
hours?A 450 milesB 691 milesC 750 milesD 850 milesf ( ), 9f ( ) x x
= 1 200 50 ,38 Which is a zero of the function defined by the
following equation?FGH 1J 212f x xx ( ) ( ) = 2VA517569_1A
Release2/19/1012:21 PMPage 2239 The relationship shown in the table
is a direct variation.Which equation best represents this
relationship?ABCD y x =13y x =3y x = 10y x = 4 5x y56781518212440
Which of the following represents the domain of the relation
shown?F {A, B, C, D}G {A, B, 150, 250}H {150, 250, 350, 450}J {A,
150, B, 250, C, 350, D, 450}ABCD15025035045023VA517569_1A
Release2/19/1012:21 PMPage 2341 Christy and Claire take piano
lessons. Their practice times for the past weekare shown in the
matrix.Which matrix could represent the new practice schedule if
their teacherwants them to practice twice as much this week?ABCD22
12 17 222 7 17 32
llll40 20 30 400 10 30 60
llll40 20 30 400 5 15 30
llll10 5 7 5 100 2 5 7 5 15.. .
llllChristyClaireM W F Sa20 10 15 200 5 15 3024VA517569_1A
Release2/19/1012:21 PMPage 2442FGHJ
llll3 14 2
llll4 5612 3
llll3 154 43 154 4
llll1 76 34 82 1
.
llll
.
llll =43 This table shows the wind chill at 40F for various wind
speeds.Which equation most closely represents a line of best fit
for the data?ABCD t s = 35 0 2 .t s = 35 0 2 .t s = 0 2 35 .t s = 0
2 35 .Wind Speed(miles per hour), sWind Chill(F),
t5361034153220302529302840275026602525VA517569_1A
Release2/19/1012:21 PMPage 2544 Which matrix is equivalent
to3639
.
llllll?F213
llllllG1839
llllllH18927
llllllJ699
llllll26VA517569_1A Release2/19/1012:21 PMPage 2645 The chart
below shows the scores for each of the first 10 basketball gamesfor
the Hawks and the Blue Jays. Which of the following is true?A The
mode for the Hawks is less than the mode for the Blue Jays.B The
mean for the Blue Jays is less than the mean for the Hawks.C The
median for the Hawks is greater than the median for the Blue Jays.D
The range for the Hawks is greater than the range for the Blue
Jays.Hawks Blue
Jays959393938281801038798911039376919590104959527VA517569_1A
Release2/19/1012:21 PMPage 2746 Easy Street Deli serves sandwiches
with 3 choices of bread and 3 choices ofmeat. The tables show the
number of each type of sandwich sold on Mondayand Tuesday.Which
matrix shows the difference between the number of
differentsandwiches sold on Tuesday and the number sold on
Monday?FGHJ15 15 938 2 190 2 197 125 7796 110 61100 62 5715 15 938
2 190 2 121553MondayWheatBreadRyeBreadHamRoast
BeefTurkey412950555630432128WhiteBreadWhiteBreadWheatBreadRyeBreadHamRoast
BeefTurkey566750705432344029Tuesday28VA517569_1A
Release2/19/1012:21 PMPage 2847 The male and female teachers at
Mountainview School recorded the numberof years they have been
teaching at the school. The box-and-whisker plotssummarize the
data.Which statement is false?A The teacher with the least number
of years teaching is female.B The range in the years teaching is
greater for male teachers than for femaleteachers.C The difference
in the maximum number of years teaching for male and femaleteachers
is 1.D The median number of years teaching for female teachers is 2
less than the medianfor male teachers.10 8 6 4 2 12 14 16 18 20 22
24 26 28Female TeachersMale Teachers29VA517569_1A
Release2/19/1012:21 PMPage 29Test Sequence NumberCorrect
AnswerReportingCategory Reporting Category Description1 D 003
Equations and Inequalities2 H 003 Equations and Inequalities3 D 003
Equations and Inequalities4 H 003 Equations and Inequalities5 D 003
Equations and Inequalities6 F 003 Equations and Inequalities7 D 003
Equations and Inequalities8 J 003 Equations and Inequalities9 A 003
Equations and Inequalities10 J 003 Equations and Inequalities11 B
003 Equations and Inequalities12 G 003 Equations and Inequalities13
D 003 Equations and Inequalities14 F 003 Equations and
Inequalities15 A 003 Equations and Inequalities16 G 003 Equations
and Inequalities17 D 003 Equations and Inequalities18 J 001
Expressions and Operations19 A 001 Expressions and Operations20 J
001 Expressions and Operations21 C 001 Expressions and Operations22
J 001 Expressions and Operations23 B 001 Expressions and
Operations24 H 001 Expressions and Operations25 A 001 Expressions
and Operations26 F 001 Expressions and Operations27 B 001
Expressions and Operations28 J 001 Expressions and Operations29 C
001 Expressions and Operations30 J 002 Relations and Functions31 B
002 Relations and Functions32 G 002 Relations and Functions33 D 002
Relations and Functions34 H 002 Relations and Functions35 A 002
Relations and Functions36 H 002 Relations and Functions37 C 002
Relations and Functions38 F 002 Relations and Functions39 C 002
Relations and Functions40 F 002 Relations and Functions41 C 004
Statistics42 G 004 Statistics43 A 004 Statistics44 H 004
Statistics45 A 004 Statistics46 G 004 Statistics47 B 004
StatisticsAnswer Key-EOC020-M0119VA517569_1A Release2/19/1012:21
PMPage 30If you get this many items correct:Then your converted
scale score is:0 0001 2072 2403 2604 2755 2876 2977 3068 3149 32210
32811 33512 34113 34614 35215 35716 36217 36718 37119 37620 38021
38522 38923 39324 39825 40226 40627 41028 41529 41930 42331 42832
43233 43734 44235 44636 45137 45738 46239 46840 47441 48042 48843
49544 50445 51446 52647 54048 56049 59350 600Algebra I, Core
1VA517569_1A Release2/19/1012:21 PMPage 31
