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VIRGINIA
STANDARDS OF LEARNING ASSESSMENTS
Spring 2001 Released Test
END OF COURSE
ALGEBRA I
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Property of the Virginia Department of Education
䉷 2001 by the Commonwealth of Virginia Department of Education, James Monroe
Building, 101 N. 14th Street, Richmond, Virginia, 23219. 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 photocopy or
print any portion of these Released Tests for educational purposes without requesting
permission. All others should direct their requests to the Commonwealth of Virginia
Department of Education at (804) 225-2102, Division of Assessment and Reporting.
SESSION: 28 PAGE: 3 11/12/101 12:48 LOGIN IS-pam PATH: @sun1/xydisk2/CLS_psycorp/GRP_virginia/JOB_537591g11/DIV_g11a1test
Algebra I
3
DIRECTIONS
Read and solve each question. Then mark the
space on the answer sheet for the best answer.
What property of real numbers
justifies the following statement?
4x(y ⴐ 2) ⴑ 3y is equivalent to
4x(y) ⴐ 4x(2) ⴑ 3y
SAMPLE
AY030103
墍
C
The associative property of
multiplication
B The commutative property of
multiplication
C The distributive property of
multiplication over addition 墍
D The closure property of multiplication
A
Which shows y ⴔ 2x ⴐ 4 in completely
factored form?
y
B y
C y
D y
A
1
AY030102
墌
C
2
AY010423
墌
C
⫽
⫽
⫽
⫽
2(x ⫹ 4)
(x ⫹ 2)2
2(x ⫹ 2) 墍
(x ⫹ 2)(x ⫺ 2)
4
Which is an example of the
commutative property of addition?
3
B 3
C 3
D 3
A
⫹
⫹
⫹
⫹
5m
5m
5m
5m
⫽
⫽
⫽
⫽
3 ⫹ (1 ⫹ 4)m
5m ⫹ 3 墍
(3 ⫹ 5)m
3m ⫹ 5
Pauline sells cookie baskets. She
charges $5 for the basket plus $2 per
cookie. If one filled basket sells for $31,
how many cookies are in it?
13 墍
G 15
H 18
J 20
F
3
What is the solution to 3(x ⴑ 5) ⱖ 12?
F
xⱕ1
G
x ⱖ ⫺1
H
xⱖ
J
xⱖ9墍
17
3
AY010308
墍
C
L
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y
5
A
9
AY060103
墌
y
7
8
5
7
4
墍
3
C
AY070401
6
C
5
4
ArtCodes
AY060103.AR1
2
B
3
1
–9 –8 –7 –6 –5 –4 –3 –2 –1
0
ArtCodes
1
2
1
2
3
4
5
6
7
8
9
–5
x
–4
–3
–2
–1
0
AY070401.AR1
1
2
3
4
–1
–1
–2
–2
–3
–3
–4
–5
–4
–6
–5
–7
–8
C
–9
Which line on the graph has an
undefined slope?
The line on the grid is best described
by the equation —
y
B y
C y
D y
A
6
AY070208
墌
⫽
⫽
⫽
⫽
A
B B
C C
D D 墍
A
x⫹1
x⫺1
⫺x ⫹ 1
⫺x ⫺ 1 墍
What is the slope of the line that
contains (4, ⴑ1) and (3, 3)?
F
C
G
H
J
D
⫺4 墍
⫺1
2
⫺1
4
2
4
5
x
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8
9
The graph below represents the
equation y ⴔ 3x.
AY060404
墌
y
C
What is the slope of the line
3x ⴐ y ⴔ 5?
A
AY070309
墍
3
C
L
5
4
3
2
1
ArtCodes
–5 –4 –3 –2 –1
AY060404.AR1
0
–1
–2
1
2
3
4
5
B
⫺3 墍
C
1
3
x
–3
–4
–5
D
⫺1
Which graph best represents
y ⴔ 3x ⴑ 1?
3
y
5
4
y
10
3
2
ArtCodes
F
1
–5 –4 –3 –2 –1
AY060404.AR2
AY060404.AR3
AY060404.AR4
AY060404.AR5
1
0
–1
–2
2
3
4
5
x
9
8
AY080114
墍
7
–3
6
–4
C
5
–5
4
y
3
ArtCodes
2
AY080114.AR1
1
5
–9 –8 –7 –6 –5 –4 –3 –2 –1
4
2
1
–5 –4 –3 –2 –1
0
–1
–2
1
2
3
4
5
6
7
8
9
–1
3
G
0
1
2
3
4
5
x
–2
墍
–3
–4
–5
–3
–6
–4
–7
–5
–8
–9
y
5
Which equation best describes this
graph?
4
3
2
H
1
–5 –4 –3 –2 –1
0
–1
–2
1
2
3
4
5
x
x
G x
H y
J y
F
–3
–4
–5
y
5
4
3
2
J
1
–5 –4 –3 –2 –1
0
–1
–2
1
2
3
4
5
x
–3
–4
–5
5
⫽
⫽
⫽
⫽
5y
⫺5
⫺5x
⫺5 墍
x
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11
Which line has y-intercept ⴑ3 and
x-intercept 2?
AY060302
墌
12
y
C
L
48
G 45
H 42
J 35
5
F
4
3
2
ArtCodes
AY060302.AR1
AY060302.AR2
AY060302.AR3
AY060302.AR4
A
1
–5 –4 –3 –2 –1
During a sale, an automobile dealer
sold 69 cars and trucks. If she sold
27 more cars than trucks, how many
of each did she sell?
0
–1
–2
1
2
3
4
5
x
cars,
cars,
cars,
cars,
21
24
27
34
trucks 墍
trucks
trucks
trucks
AY090203
墍
C
–3
–4
–5
y
13
5
4
3
A line has a slope of ⴑ2 and contains
the point (1, ⴑ1). Which is an equation
of this line?
2
B
1
–5 –4 –3 –2 –1
0
–1
1
2
3
4
5
y
B y
C y
D y
A
x 墍
–2
–3
–4
–5
⫽
⫽
⫽
⫽
⫺2x ⫺ 1
⫺x ⫹ 2
⫺2x ⫹ 1 墍
2x ⫺ 3
AY080109
墍
C
y
5
4
14
3
2
C
1
–5 –4 –3 –2 –1
0
–1
–2
1
2
3
4
5
x
Which is the solution to the system of
equations shown?
–3
–4
(⫺2, 8) 墍
G (⫺2, 0)
H (2, 0)
J (0, ⫺2)
F
–5
y
5
4
3
2
D
1
–5 –4 –3 –2 –1
0
–1
–2
ⴐyⴔ4
再2x
3x ⴑ y ⴔ ⴑ14
1
2
3
4
5
x
–3
–4
–5
6
AY090401
墍
C
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15
AY080304
墌
C
16
AY140101
墌
C
18
Which is an equation for the line that
contains the points (ⴑ2, 3) and (2, ⴑ1)?
y
B y
C y
D y
A
⫽
⫽
⫽
⫽
x⫹5
x⫺3
⫺x ⫹ 1 墍
⫺2x ⫺ 1
d ⴔ 10,000 ⴐ 0.1n
where n is the number of copies sold.
During the first year Mary earned
$35,000.00 from the publication and
sale of her book. How many copies of
her book sold in the first year?
The velocity of an object in a liquid
can be described by the equation
v ⴔ 20 ⴑ t ⴑ t2 where v is the velocity
in meters per second and t is time in
seconds. At what time will v ⴔ 0?
4
G 5
H 6
J 7
F
25,000
G 35,000
H 250,000 墍
J 350,000
F
sec 墍
sec
sec
sec
19
17
AY140203
墌
C
L
Mary published her first book. She was
given $10,000.00 and an additional
$0.10 for each copy of the book that
sold. Her earnings, d, in dollars, from AY010117
墍
the publication of her book are given C
by
When completely factored, 3x2 ⴑ 48
equals —
3(x2 ⫺ 48)
2
B 3(x ⫹ 16)
C 3(x ⫺ 4)(x ⫹ 4) 墍
D (3x ⫺ 16)(x ⫹ 3)
A
A weather balloon in the shape of a
sphere has a surface area of 160 square
meters. If the formula for the surface
␲r2, to the
area of a sphere is S.A. ⴔ 4␲
nearest tenth of a meter, what is the
radius of the balloon?
2.0 m
B 3.6 m 墍
C 11.2 m
D 12.7 m
A
20
Victor bought a computer for $1,800.
He made a down payment of $200 and
will pay the rest in 5 equal payments.
If p represents the amount of each
payment, which equation can be used
to find this amount?
$200p ⫽ $1,800
G $1,800 ⫹ 5p ⫽ $200
H $1,800 ⫹ $200 ⫽ 5p
J $1,800 ⫽ 5p ⫹ $200 墍
F
7
AY120409
墍
C
AY020204
墍
C
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21
AY120303
墌
C
L
When completely factored, x2 ⴐ x ⴑ 12
equals —
(x
B (x
C (x
D (x
A
⫹
⫹
⫹
⫹
25
3.9
B 6.7 墍
C 7.5
D 8.7
A
3)(x ⫺ 4)
4)(x ⫺ 3) 墍
7)(x ⫺ 5)
12)(x ⫺ 1)
26
22
AY100204
墌
C
Which is closest to the value of 3公5?
The population of Asia is about
3.4 ⴒ 109. The population of Africa is
about 7 ⴒ 108. About how many more
people live in Asia than live in Africa?
5x
G 5x
H 5x
J 5x
27,000,000
G 270,000,000
H 360,000,000
J 2,700,000,000 墍
27
⫺
⫺
⫺
⫺
6
1
2墍
3
18
B 22
C 28 墍
D 36
AY110303
墌
C
L
Which is equivalent to
(5x2 ⴐ 4x ⴐ 1) ⴐ (ⴑ7x ⴐ 2)?
⫺2x2 ⫹ 6x ⫹ 1
2
B 5x ⫺ 3x ⫺ 1
2
C 5x ⫺ 3x ⫹ 3 墍
2
D 5x ⫹ 11x ⫹ 3
A
28
24
AY110409
墌
C
Which expression is equivalent to
8x4 ⴑ 2x2
?
2x2
5d ⫹ 45
G d ⫺ 5 墍
H d ⫹ 5
J ⫺d ⫹ 5
4x2
2
G 6x
2
H 4x ⫺ 1 墍
2
J 6x ⫺ 1
8
AY120406
墍
C
AY020305
墍
C
L
Ben’s Bakery charges a fee of 2d ⴐ 25
to deliver d boxes of baked goods while
Dan’s Bakery charges 3d ⴐ 20. Which
expression describes how much more AY110418
墍
Dan’s Bakery charges than Ben’s
C
Bakery?
F
F
C
L
What is the value of x(5 ⴐ y) if x ⴔ 4
and y ⴔ 2?
A
23
墍
One factor of 5x2 ⴐ 13x ⴑ 6 is —
F
F
AY130301
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29
AY100307
墌
Which is equivalent to
A
C
L
B
b6
?
b2
31
Which of the following tables does not
represent a function?
1
b3
AY050304
3
b
C
b4 墍
D
b8
A
B
30
AY130402
墌
C
Which is closest to the value of
公12 ⴢ公15 ?
52.0
G 13.5
H 13.4 墍
J 6.7
F
C
D
x
f(x)
2
3
5
8
7
10
16
25
x
f(x)
1
7
–4
–5
2
2
2
2
x
f(x)
36
36
25
25
6
–6
x
f(x)
0
2
9
20
36
38
45
56
32
墍
C
ArtCodes
AY050304.AR1
AY050304.AR2
AY050304.AR3
AY050304.AR4
墍
5
–5
x
y
0
3
6
4
1
–2
Which equation most likely describes
the relation indicated by the table?
y
G y
H y
J y
F
9
⫽
⫽
⫽
⫽
x⫹4
x⫺2
⫺x ⫹ 4 墍
⫺x ⫺ 8
AY050308
墍
C
L
ArtCodes
AY050308.AR1
SESSION: 28 PAGE: 10 11/12/101 12:48 LOGIN IS-pam PATH: @sun1/xydisk2/CLS_psycorp/GRP_virginia/JOB_537591g11/DIV_g11a1test
33
AY050101
墌
The table shows the relationship
between the cost, c, in dollars of a taxi
ride and the number, t, of minutes the
ride lasts.
34
In which graph is y a direct variation
of x?
C
墍
C
5
t
c
5
4.75
10
6.5
15
8.25
4
20
10
3
2
F
ArtCodes
1
–5 –4 –3 –2 –1
ArtCodes
AY050101.AR1
AY190415
y
Which equation algebraically
represents this data?
0
–1
–2
1
2
3
4
5
1
2
3
4
5
1
2
3
4
5
1
2
3
4
5
x
AY190415.AR1
AY190415.AR2
AY190415.AR3
AY190415.AR4
–3
–4
–5
c
B c
C c
D c
A
⫽
⫽
⫽
⫽
3 ⫹ 0.35t 墍
2.75 ⫹ 0.5t
t ⫺ 0.25
4 ⫹ 0.15t
y
5
4
3
2
G
1
–5 –4 –3 –2 –1
0
–1
–2
x
–3
–4
–5
y
5
4
3
2
H
1
–5 –4 –3 –2 –1
0
–1
x
–2
–3
–4
–5
y
5
4
3
2
J
1
–5 –4 –3 –2 –1
0
–1
–2
–3
–4
–5
10
x
墍
SESSION: 28 PAGE: 11 11/12/101 12:48 LOGIN IS-pam PATH: @sun1/xydisk2/CLS_psycorp/GRP_virginia/JOB_537591g11/DIV_g11a1test
35
36
The graph shows part of a function f.
y
AY150405
墌
C
In which table are all the points
represented by the equation
⫺x
ⴐ 2?
yⴔ
4
AY050203
墍
C
L
9
8
7
ArtCodes
x
0
2
y
2
1
F
6
AY150405.AR1
5
6
1
2
8
0
4
3
ArtCodes
2
AY050203.AR1
AY050203.AR2
AY050203.AR3
AY050203.AR4
1
–9 –8 –7 –6 –5 –4 –3 –2 –1
0
–1
–2
1
2
3
4
5
6
7
8
9
x
x
0
4
y
2
x
8
1
6
1
2
0
4
6
8
y
2
1
0
–1
x
0
2
4
G
墍
0
–3
–4
–5
–6
–7
H
–8
–9
What is the range of the function?
All real
B All real
five 墍
C All real
D All real
A
J
numbers
numbers less than or equal to
y
–
2
1
0
6
1
2
numbers greater than zero
numbers between 2 and 6
37
Which equation represents an inverse
variation?
A
11
b
a
⫽
4
9
B
2
a
⫽ 墍
5
b
C
2a ⫹ 3 ⫽ 4b ⫹ 3
D
a
⫽7
b
AY190105
墍
C
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38
Which of the following represents the
graph of a function?
AY150309
墌
39
{(2, 1), (2, 2), (3, 4), (5, 6)}
B {(⫺2, ⫺1), (1, 2), (3, 4), (1, 5)}
C {(1, 2), (2, 2), (3, 3), (2, 4)}
D {(1, 1), (2, 1), (3, 2), (4, 4)} 墍
A
y
C
L
5
4
3
2
ArtCodes
AY150309.AR1
AY150309.AR2
AY150309.AR3
AY150309.AR4
F
1
–5 –4 –3 –2 –1
0
–1
–2
Which of the following sets of ordered
pairs is a function?
1
2
3
4
5
AY150114
墍
C
x
–3
–4
–5
40
x
y
Input
Output
f(x) = 2x – 5
f(x)
AY160302
墍
5
4
3
2
G
1
–5 –4 –3 –2 –1
0
–1
–2
1
2
3
4
5
Using the function machine from the
diagram, what is f(10)?
x
C
L
ArtCodes
AY160302.AR1
5
G 7.5
H 15 墍
J 25
F
–3
–4
–5
y
5
4
3
2
H
1
–5 –4 –3 –2 –1
0
–1
1
2
3
4
5
x墍
41
–2
–3
Which is a zero of the function
f(x) ⴔ x2 ⴐ 3x ⴑ 4?
⫺4 墍
B ⫺1
C 3
D 4
–4
A
–5
y
5
AY160406
墍
C
4
3
2
J
1
–5 –4 –3 –2 –1
0
–1
–2
–3
1
2
3
4
5
x
42
–4
–5
What is the range of the function
1
f(x) ⴔ x ⴐ 5 when the domain is
2
{2, 4, 6}?
{⫺6, ⫺2, 2}
G {6, 7, 8} 墍
H {2, 4, 6}
J {1, 3, 5}
F
12
AY160202
墍
C
L
SESSION: 28 PAGE: 13 11/12/101 12:48 LOGIN IS-pam PATH: @sun1/xydisk2/CLS_psycorp/GRP_virginia/JOB_537591g11/DIV_g11a1test
43
45
22
20
18
AY170306
墌
16
C
ArtCodes
AY170306.AR1
14
y
12
10
8
During a summer reading program,
Mary read 9 books. The books
contained 217 pages, 138 pages, 159
pages, 356 pages, 270 pages, 112 pages, AY180107
墍
138 pages, 210 pages, and 195 pages.
C
What was the median number of pages
of the 9 books that Mary read during
the summer reading program?
138
B 159
C 195 墍
D 244
A
6
4
2
0
0 1 2 3 4 5 6 7 8 9 10 11 12
x
Based on the scatterplot, which x value
would best match y ⴔ 17?
46
8
B 11 墍
C 14
D 17
墌
F
G
H
J
冋
2
1
2
1
3
0
冋
册
⫺2
1
3
0
5
5
4
3
G
册
⫺
H
⫺2
2
册
⫺1
⫺3
⫺2
⫺2
册 冋
3
⫺1
册
⫺2
9
0
3
6
9
冤 冥
⫺2
冤 冥
9
冋 册 冋
冋
冤 冥
1
AY040306
墍
C
⫺2
冋
ⴑ2
[Q] ⴑ [R] ⴔ ?
Which of the following operations
ⴑ4
2
?
would result in the matrix
6
1
C
3
3
F
AY040206
4
冤 冥
1
A
44
3
1
ⴑ7
[R] ⴔ ⴑ4
2
[Q] ⴔ ⴑ1
⫹
册
⫺7
3
8
⫺1
3
0 墍
0
6
⫺5
⫺5
2
⫺9
⫺6
冤 冥
冤 冥
7
J
墍
3
⫺11
13
0
SESSION: 28 PAGE: 14 11/12/101 12:48 LOGIN IS-pam PATH: @sun1/xydisk2/CLS_psycorp/GRP_virginia/JOB_537591g11/DIV_g11a1test
47
AY180301
墌
C
In which data set is the median value
equal to the mean value?
48
{2, 4, 6, 7, 8}
B {12, 18, 20, 23, 24}
C {16, 17, 18, 19, 20} 墍
D {50, 60, 65, 75, 85}
Jorge made the following stem-and-leaf
diagram of the weights of the members
of the football team he was coaching.
A
AY180202
墍
Stem
10
Leaf
9
11
ArtCodes
12
3, 8
13
2, 4, 4, 6, 8
14
1, 3, 5, 5, 9
15
2, 3, 7, 7, 9
16
1, 3, 7, 8, 8, 8, 9
17
3, 8
What was the mode of the weight of
the players on the team?
145
G 150
H 152
J 168 墍
F
14
C
AY180202.AR1
SESSION: 28 PAGE: 15 11/12/101 12:49 LOGIN IS-pam PATH: @sun1/xydisk2/CLS_psycorp/GRP_virginia/JOB_537591g11/DIV_g11a1test
49
Using the median fit method, which
scatterplot most likely has a line of
best fit represented by y ⴔ 2x ⴑ 1?
50
Annual Income
45
墌
40
C
L
35
ArtCodes
AY170201.AR1
AY170201.AR2
AY170201.AR3
AY170201.AR4
A
Thousands of Dollars
AY170201
9
8
7
6
5
4
3
2
1
–9 –8 –7 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 7 8 9
–1
–2
–3
–4
–5
–6
–7
–8
–9
AY170405
墍
C
30
ArtCodes
AY170405.AR1
25
20
15
10
5
0
1991 1992 1993 1994 1995 1996 1997 1998 1999
B
C
D
9
8
7
6
5
4
3
2
1
–9 –8 –7 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 7 8 9
–1
–2
–3
–4
–5
–6
–7
–8
–9
Year
Using the data plotted on the
scatterplot, which is the best
prediction for income in the year 2000?
墍
35,000
G 43,000 墍
H 50,000
J 57,000
F
9
8
7
6
5
4
3
2
1
–9 –8 –7 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 7 8 9
–1
–2
–3
–4
–5
–6
–7
–8
–9
9
8
7
6
5
4
3
2
1
–9 –8 –7 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 7 8 9
–1
–2
–3
–4
–5
–6
–7
–8
–9
15
SESSION: 28 PAGE: 16 11/12/101 12:51 LOGIN IS-pam PATH: @sun1/xydisk2/CLS_psycorp/GRP_virginia/JOB_537591g11/DIV_g11a1test
Answer Key
Test
Sequence
Correct
Answer
Reporting
Category
Reporting Category Description
1
B
003
Equations and Inequalities
2
F
003
Equations and Inequalities
3
C
003
Equations and Inequalities
4
J
003
Equations and Inequalities
5
D
003
Equations and Inequalities
6
F
003
Equations and Inequalities
7
D
003
Equations and Inequalities
8
G
003
Equations and Inequalities
9
B
003
Equations and Inequalities
10
J
003
Equations and Inequalities
11
B
003
Equations and Inequalities
12
F
003
Equations and Inequalities
13
C
003
Equations and Inequalities
14
F
003
Equations and Inequalities
15
C
003
Equations and Inequalities
16
F
003
Equations and Inequalities
17
B
003
Equations and Inequalities
18
H
003
Equations and Inequalities
19
C
001
Expressions and Operations
20
J
001
Expressions and Operations
21
B
001
Expressions and Operations
22
J
001
Expressions and Operations
23
C
001
Expressions and Operations
24
H
001
Expressions and Operations
25
B
001
Expressions and Operations
26
H
001
Expressions and Operations
27
C
001
Expressions and Operations
28
G
001
Expressions and Operations
29
C
001
Expressions and Operations
30
H
001
Expressions and Operations
31
C
002
Relations and Functions
32
H
002
Relations and Functions
33
A
002
Relations and Functions
34
H
002
Relations and Functions
35
B
002
Relations and Functions
36
G
002
Relations and Functions
37
B
002
Relations and Functions
38
H
002
Relations and Functions
39
D
002
Relations and Functions
40
H
002
Relations and Functions
41
A
002
Relations and Functions
42
G
002
Relations and Functions
43
B
004
Statistics
44
J
004
Statistics
45
C
004
Statistics
46
G
004
Statistics
47
C
004
Statistics
48
J
004
Statistics
49
B
004
Statistics
50
G
004
Statistics