Download 2003 - SolPass

SESSION: 21 PAGE: 1 1/26/04 8:53 LOGIN IS-joer PATH: @sunultra1/raid/CLS_tpc/GRP_va_sprg03/JOB_03-olptg11/DIV_g11alg1-1
VIRGINIA
STANDARDS OF LEARNING ASSESSMENTS
Spring 2003 Released Test
END OF COURSE
ALGEBRA I
Property of the Virginia Department of Education
䉷 2003 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: 19 PAGE: 2 5/8/103 16:15 LOGIN IS-debbie PATH: @sunultra1/raid/CLS_tpc/GRP_virginia/JOB_03-olptg11/DIV_g11alg1-1
Algebra I
3
DIRECTIONS
Read and solve each question. For this test you
may assume that the value of a denominator is
not zero.
V ⴔ ␲r2h
AY010108
where r is the radius of the cylinder
and h is the cylinder’s height. Which
equation could be used to solve for h?
SAMPLE
b6
Which is equivalent to 2 ?
b
1
A
b3
3
B b
1
AY030104
墌
C
L
2
墌
C
b 墍
D
b8
Which property of real numbers is
utilized by rewriting 11x ⴐ 5xy as
x(11 ⴐ 5y)?
Associative property for addition
B Commutative property for addition
C Closure property for multiplication
D Distributive property for multiplication
over addition 墍
B
h⫽
C
h ⫽ V ⫹ ␲r2
D
h ⫽ V ⫺ ␲r2
F
18
G
10
2
x + 74
x
x + 274
Tambria’s property has the shape of a
trapezoid with the dimensions shown.
If the perimeter of the property is
3,279 feet, what is the value of x?
726 ft 墍
G 781.25 ft
H 913.5 ft
J 1,452 ft
F
墍
⫺9
2
2003 Commonwealth of Virginia Department of Education
C
AY010407
墍
C
L
C
⫺7
墍
V
墍
␲r2
x + 27
What is the solution to
J
h ⫽ ␲r2V
4
A
H
A
4
2 ⴑ 4a ⴔ 16?
AY010422
The volume of a cylinder is given by
2
ArtCodes
AY010407.AR1
SESSION: 19 PAGE: 3 5/8/103 16:15 LOGIN IS-debbie PATH: @sunultra1/raid/CLS_tpc/GRP_virginia/JOB_03-olptg11/DIV_g11alg1-1
5
AY060420
6
Which graph best represents the
ⴑ4
x ⴐ 2?
function y ⴔ
3
墌
7x ⴑ 5 ⱖ x ⴐ 1?
AY010601
墍
y
C
L
What is the solution to the inequality
F
xⱕ1
G
xⱖ1墍
H
x ⱖ ⫺1
J
xⱕ
C
5
4
3
ArtCodes
AY060420.AR1
AY060420.AR2
AY060420.AR3
AY060420.AR4
2
A
1
–5 –4 –3 –2 –1
0
–1
–2
1
2
3
4
5
x
–3
–4
–5
5
2
y
5
4
3
2
B
1
–5 –4 –3 –2 –1
0
–1
–2
1
2
3
4
5
7
x
y
5
A
–3
–4
–5
B
y
3
-5 -4 -3 -2 -1
2
1
0
–1
墍
3
C
L
ArtCodes
AY070404.AR1
1
4
–5 –4 –3 –2 –1
4
2
5
C
AY070404
1
2
3
4
5
x 墍
–2
–3
–4
–5
O
-1
-2
-3
-4
-5
1
2
3
4
y
C
D
5
4
3
Which line has a negative slope?
2
D
1
–5 –4 –3 –2 –1
0
–1
–2
1
2
3
4
5
x
A墍
B B
C C
D D
A
–3
–4
–5
2003 Commonwealth of Virginia Department of Education
3
5
x
SESSION: 19 PAGE: 4 5/8/103 16:15 LOGIN IS-debbie PATH: @sunultra1/raid/CLS_tpc/GRP_virginia/JOB_03-olptg11/DIV_g11alg1-1
8
AY060301
9
Which line most likely has a slope of
1
and y-intercept 3?
2
墌
y ⴔ 6x ⴑ 1?
AY070601
y
C
What is the slope of the graph of
A
⫺6
B
⫺1
C
1
6
D
6墍
5
4
墍
C
3
ArtCodes
AY060301.AR1
AY060301.AR2
AY060301.AR3
AY060301.AR4
2
F
1
–5 –4 –3 –2 –1
0
–1
1
2
3
4
5
x
–2
–3
–4
–5
y
5
4
10
3
2
G
1
–5 –4 –3 –2 –1
0
–1
–2
1
2
3
4
5
What is the slope of the line that goes
through
x
(ⴑ3, 2) and (3, 2)?
–5
y
F
Undefined
G
0墍
H
2
3
J
3
2
5
4
3
2
1
–5 –4 –3 –2 –1
0
–1
1
2
3
4
5
x 墍
–2
–3
–4
–5
y
5
4
3
2
J
1
–5 –4 –3 –2 –1
0
–1
–2
墍
C
–3
–4
H
AY070305
1
2
3
4
5
x
–3
–4
–5
2003 Commonwealth of Virginia Department of Education
4
SESSION: 19 PAGE: 5 5/8/103 16:16 LOGIN IS-debbie PATH: @sunultra1/raid/CLS_tpc/GRP_virginia/JOB_03-olptg11/DIV_g11alg1-1
11
x
y
-2
0
2
4
3
2
1
0
12
AY080103
墌
C
ArtCodes
Roy works at the local grocery store
and is paid $6.00 per hour. The graph
shown describes his salary, S, based on
the number of hours, t, he works.
AY080504
Which equation fits the data in the
table?
AY080103.AR1
A
y⫽
⫺x
2
y⫽x⫹3
C
y ⫽ 2x ⫺ 3
D
y⫽
C
19
18
17
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
⫹2墍
B
墍
s
x
⫹2
2
0
ArtCodes
AY080504.AR1
1 2 3 4 5 6 7 8
t
Which is an equation of the graph
shown?
2003 Commonwealth of Virginia Department of Education
5
F
S⫽6⫹t
G
S ⫽ 6t 墍
H
S⫽
6
t
J
S⫽
t
6
SESSION: 19 PAGE: 6 5/8/103 16:15 LOGIN IS-debbie PATH: @sunultra1/raid/CLS_tpc/GRP_virginia/JOB_03-olptg11/DIV_g11alg1-1
13
AY080516
墌
A
y⫽
C
B
C
D
14
AY090301
墌
y⫽
y⫽
y⫽
x
G x
H x
J x
AY090105
墌
C
AY090509
1
x⫹1
2
5
⫺3
3
4
⫺3
4
⫽
⫽
⫽
⫽
1,
2,
3,
4,
Length
B Length
C Length
D Length
⫽
⫽
⫽
⫽
-5 -4 -3 -2 -1 O
-1
-2
-3
-4
-5
in.,
in.,
in.,
in.,
1
2 3 4
5
x
Which is most likely the solution to the
system of equations shown?
3
2
1墍
0
22
25
28
22
AY090509.AR1
1
(0, 5)
G (1, 0)
H (3, ⫺2)
J (⫺2, 3) 墍
F
A rectangle has a perimeter of
68 inches. Its length is 2 inches less
than 3 times its width. What are the
length and width of the rectangle?
A
ArtCodes
2
x⫹7
⫽
⫽
⫽
⫽
C
4
x⫺5墍
y
y
y
y
墍
y
Which is the solution to the system of
equations shown?
F
This is a graph of a system of
equations.
3
x⫹7
4
再 xx ⴐⴑ yy ⴔⴔ 42
C
15
16
The equation of the line that contains
the points (ⴑ8, 1) and (0, ⴑ5) is —
width
width
width
width
⫽
⫽
⫽
⫽
2x2 ⴑ 3x ⴐ 1 ⴔ 0
17
Which is the solution set for the
equation above?
12 in.
9 in. 墍
10 in.
8 in.
A
B
C
D
2003 Commonwealth of Virginia Department of Education
6
{⫺2, ⫺1}
再 冎
再 冎
⫺
⫺1, 1
2
1
,1 墍
2
{1, 2}
AY140404
墍
C
L
SESSION: 19 PAGE: 7 5/8/103 16:15 LOGIN IS-debbie PATH: @sunultra1/raid/CLS_tpc/GRP_virginia/JOB_03-olptg11/DIV_g11alg1-1
x2 ⴑ 4 ⴔ 0
18
AY140402
墌
C
19
22
Consider the following models.
Which is the solution set for the
equation above?
= x2
{⫺4, 1}
G {⫺2, 2} 墍
H {⫺1, 4}
J {0, 4}
=x
=1
AY110617
墍
C
F
= –x
= –x2
= –1
ArtCodes
AY110617.AR1
What polynomial is represented by the
following?
What is the value of 3x2 ⴑ y2 if x ⴔ ⴑ1
and y ⴔ 3?
ArtCodes
AY020411
墌
C
L
20
AY020408
墌
C
12
B ⫺3
C ⫺6 墍
D ⫺12
A
3x2
2
G 3x
2
H 3x
2
J 3x
F
Which expression correctly represents
$10 less than twice the cost, c?
F
10 ⫺ 2c
G
10 ⫺ 2 ⫹ c
H
2c ⫺ 10 墍
J
23
⫺
⫺
⫹
⫹
AY110617.AR2
x⫺5墍
7x ⫺ 5
7x ⫺ 5
x⫺5
Consider the following models.
= x2
=x
=1
AY110420
墍
C
Which expression represents the area
of the diagram below?
c
⫺ 10
2
ArtCodes
AY110420.AR1
x+4
x+1
ArtCodes
AY110420.AR2
5 2 8
21
AY100516
墌
Which is equivalent to
A
x2z8
y
B
x12y8z8
xyz
?
(xy)ⴑ3
x2 ⫹ 5x ⫹ 4 墍
B 2x ⫹ 5
C 4x ⫹ 10
2
D x ⫹ 4
A
C
C
D
⫺x4yz8
3
x8y5z8 墍
2003 Commonwealth of Virginia Department of Education
7
SESSION: 19 PAGE: 8 5/8/103 16:15 LOGIN IS-debbie PATH: @sunultra1/raid/CLS_tpc/GRP_virginia/JOB_03-olptg11/DIV_g11alg1-1
24
AY100409
墌
C
L
7.6
G 7.6
H 8.0
J 8.0
F
25
AY110405
墌
C
L
26
28
The continent of North America has an
area of approximately 9.4 ⴒ 106 square
miles. The area of Asia is
approximately 1.74 ⴒ 107 square miles.
How many square miles larger is Asia
than North America?
⫻
⫻
⫻
⫻
2x2 ⴐ 5x ⴐ 2.
101
⫺
10 1
106 墍
101
(2x
G (2x
H (2x
J (2x
F
Which expression is equivalent to
(9x ⴐ 1)(9x ⴑ 1)?
29
C
27
AY120301
墌
C
墍
C
18x
2
B 81x ⫺ 1 墍
2
C 18x ⫺ 1
2
D 81x ⫺ 18x ⫺ 1
⫹
⫹
⫹
⫹
2)(x
3)(x
1)(x
1)(x
⫹
⫹
⫹
⫹
1)
2)
4)
2) 墍
Which is closest to the value of x if
x ⴔ 2公7?
A
3.2
B 3.7
C 5.3 墍
D 9.9
A
What is one of the factors of
x2 ⴑ 2x ⴑ 15?
墌
AY120514
Which is an equivalent expression for
this area?
30
AY120512
The area of a rectangle is represented
by the expression
墍
C
L
公3.2
2
to the nearest
tenth?
(x ⫺ 3)
G (x ⫺ 5) 墍
H (x ⫹ 1)
J (x ⫹ 15)
F
0.7
G 0.9 墍
H 1.3
J 1.5
F
When completely factored,
4 ⴑ 16x ⴐ 28y equals —
4(1 ⫺ 4x ⫹ 7y) 墍
B 4(1 ⫺ 4x) ⫹ 28y
C (4 ⫺ 7y)(1 ⫹ 4x)
D 4 ⫺ 4(4x ⫺ 7y)
A
2003 Commonwealth of Virginia Department of Education
What is the value of
AY130104
8
AY130516
墍
C
SESSION: 19 PAGE: 9 5/8/103 16:15 LOGIN IS-debbie PATH: @sunultra1/raid/CLS_tpc/GRP_virginia/JOB_03-olptg11/DIV_g11alg1-1
31
33
The numbers in this table follow a
linear pattern.
AY050610
墌
p
3
2
1
0
1
2
C
ArtCodes
AY050610.AR1
Loki said the following graph does not
represent a function of x.
AY150632
墍
y
w
14
11
?
5
2
1
C
7
6
ArtCodes
5
AY150632.AR1
4
3
2
1
- 7 -6 - 5 -4 - 3 -2 - 1 O
-1
-2
What is the missing value?
7
B 8 墍
C 9
D 10
A
1
2
3
4
5
6
7
-3
-4
-5
-6
-7
32
Which pair of points could Loki use to
prove that her statement is correct?
Which of these data sets represents a
function?
(⫺3,
B (⫺4,
C (⫺3,
D (⫺5,
A
AY050571
墌
C
L
F
ArtCodes
AY050571.AR1
AY050571.AR2
AY050571.AR3
AY050571.AR4
G
H
J
墍
2003 Commonwealth of Virginia Department of Education
9
4)
3)
4)
0)
and
and
and
and
(⫺3,⫺4) 墍
(4, 3)
(4,⫺3)
(5, 0)
x
SESSION: 19 PAGE: 10 5/8/103 16:15 LOGIN IS-debbie PATH: @sunultra1/raid/CLS_tpc/GRP_virginia/JOB_03-olptg11/DIV_g11alg1-1
y
34
36
⫺5
G ⫺1
H 5.5
J 11 墍
9
F
8
AY150411
墌
7
6
C
L
5
4
ArtCodes
AY150411.AR1
If f(x) ⴔ ⴑ2x ⴐ 3, what is f(ⴑ4)?
AY160401
墍
C
3
2
1
–2 –1
0
1
2
3
4
5
6
7
8
x
9
–1
37
–2
–3
What is the apparent range of the
function of x shown?
The set of all real
or equal to 4
G The set of all real
or equal to 1 墍
H The set of all real
equal to 1
J The set of all real
F
The chart shows how the wholesale
price of an item, p, depends on the cost
of the materials needed to produce the
item, m. Which equation represents
AY050201
this linear relationship?
墍
C
L
numbers greater than
m
$0.50
$1.00
$1.50
$2.00
numbers greater than
p
$4.00
$5.00
$6.00
$7.00
ArtCodes
numbers less than or
AY050201.AR1
p
B p
C p
D p
A
numbers
⫽
⫽
⫽
⫽
m ⫹ 3.5
2m ⫹ 3 墍
3m ⫹ 2.5
4m ⫹ 2
y
35
5
AY050305
4
C
3
墌
38
2
ArtCodes
F {⫺1, 2}
G {⫺1, 0, 1}
H {1, 2, 4}
J {⫺4, ⫺1, 2} 墍
1
AY050305.AR1
-5 -4 -3 -2 -1
O
-1
-2
-3
-4
-5
1
2
3
4
5
x
Which equation best describes this
graph?
y
B y
C y
D y
A
⫽
⫽
⫽
⫽
⫺x
2x ⫹ 2
x⫺2
x⫹2墍
2003 Commonwealth of Virginia Department of Education
What is the range of the function
f(x) ⴔ 3x ⴑ 1 when the domain is
{ⴑ1, 0, 1}?
10
AY160201
墍
C
SESSION: 19 PAGE: 11 5/8/103 16:17 LOGIN IS-debbie PATH: @sunultra1/raid/CLS_tpc/GRP_virginia/JOB_03-olptg11/DIV_g11alg1-1
39
41
Which of the following does not
represent a function of x?
AY150514
墌
C
A
x 1 1 1 1
y 1 2 3 4
B
x 1 2 3 4
y 1 1 1 1
ArtCodes
AY150514.AR1
AY150514.AR2
AY150514.AR3
AY150514.AR4
C
D
墍
x 1 2 3 4
y 2 2 4 5
x 0 2 5 3
y 7 3 0 2
42
40
Which is a zero of the function
f(x) ⴔ x2 ⴐ 6x ⴑ 7?
AY160626
墌
C
⫺7 墍
G ⫺6
H 7
J 41
F
2003 Commonwealth of Virginia Department of Education
Jill was looking at a picture of herself
and 3 friends. She measured the height
of her image as 10 centimeters. If Jill is
actually 60 inches tall, which equation
can she use to find h, the actual height
in inches, of one of her friends who is c
centimeters tall in the picture?
A
h ⫽ 10c
B
h ⫽ 6c 墍
C
h⫽
5
c
3
D
h⫽
1
c
6
The gas pressure in a chamber varies
directly with the temperature in the
chamber. If the pressure in the
chamber is 150 atmospheres (atm)
when the chamber is at 50ⴗF, what is
the pressure in the chamber when the
temperature of the chamber is 75ⴗF?
175
G 200
H 225
J 275
F
11
atm
atm
atm 墍
atm
AY190647
墍
C
AY190101
墍
C
L
SESSION: 19 PAGE: 12 5/8/103 16:15 LOGIN IS-debbie PATH: @sunultra1/raid/CLS_tpc/GRP_virginia/JOB_03-olptg11/DIV_g11alg1-1
冋 册 冋
43
3
7
4
6
ⴑ
ⴑ8
2
6
ⴑ2
册
44
The number of car sales for May 2000
at Auto One are:
is equal to which matrix?
AY040104
墌
A
C
B
C
D
冋 册
冋 册
冋 册
冋 册
0
⫺2
11
⫺2
5
Bob
4
Carol
5
8
12
24
⫺12
⫺5
2
4
Bob
F
Carol
Blanca
Bob
G
Carol
Blanca
Bob
H
Carol
Blanca
Bob
J
Carol
Blanca
2003 Commonwealth of Virginia Department of Education
AY040520
墍
Luxury
6
7
13
1
12
10
8
C
L
冥
If the sales people get a $200 commission
on any car they sell, which matrix shows
the amount in commissions each earns?
墍
⫺9
6
Blanca
冤
Compacts
14
Sport
UV
8
12
冤
冤
冤
冤
Sport
Compacts
UV
2,800
1,600
Luxury
1,200
1,400
2,600
200
2,400
2,000
1,600
Sport
Compacts
UV
214
208
Luxury
206
207
213
211
212
210
208
Sport
Compacts
UV
186
192
冥
Luxury
194
193
187
199
188
190
192
Sport
Compacts
UV
1,600
1,000
冥
冥
Luxury
800
900
1,500
300
1,400
1,200
1,000
冥
墍
SESSION: 19 PAGE: 13 5/8/103 16:15 LOGIN IS-debbie PATH: @sunultra1/raid/CLS_tpc/GRP_virginia/JOB_03-olptg11/DIV_g11alg1-1
冤 冥
0
45
Dⴔ 1
2
ⴑ3
5
4
47
ⴑ2D ⴔ ?
AY040512
墌
C
A
B
C
D
46
冤
0
⫺2
⫺10
⫺4
冥
0
⫺1
⫺5
3
2
⫺2
⫺2
⫺4
⫺10
⫺8
14
B 15
C 16 墍
D 17
A
冥
冤 冥
0
⫺2
2
⫺10
8
8
2,4,4,4,5,7,8
2,4,6
1
What was the median number of
millimeters of growth?
6
Barry’s daily grades for one grading
period are shown below.
墌
94, 88, 87, 92, 78, 88, 93, 100, 92, 90, 92, 85
C
What was the mode of his daily grades?
AY180515
0
1
2
3
冤 冥
6
93
G 92 墍
H 91
J 90
F
2003 Commonwealth of Virginia Department of Education
AY180306
墍
C
L
Millimeters Growth
6 墍
⫺8
⫺2
冤
The stem-and-leaf plot shows the
results of a science experiment in
which 12 plants were each given a
different combination of water and
nutrients over a period of time and
their growth in millimeters measured.
13
ArtCodes
AY180306.AR1
SESSION: 19 PAGE: 14 5/8/103 16:18 LOGIN IS-debbie PATH: @sunultra1/raid/CLS_tpc/GRP_virginia/JOB_03-olptg11/DIV_g11alg1-1
48
AY170404
墌
Connie made a scatterplot comparing
the shoulder heights of her friends’
dogs to their weights. Connie’s dog
stands 28 inches to his shoulder.
49
Scott made a box-and-whisker graph of
the soccer goals made by the players in
his district.
AY180407
4
C
6
8 10 12 14 16 18 20 22 24 26 28
墍
C
70
65
ArtCodes
55
AY180407.AR1
What is the range of the goals made by
the players?
50
Weight (lbs)
ArtCodes
AY170404.AR1
60
45
40
24
B 18 墍
C 6
D 4
A
35
30
25
20
15
10
5
0
0
2
4
6
8 10 12 14 16 18 20 22 24 26 28 30
Height (inches)
50
Using a line of best fit for the plot,
which is the best prediction for her
dog’s weight?
40
G 55
H 65
J 70
F
AY170209
墍
C
L
pounds
pounds 墍
pounds
pounds
ArtCodes
AY170209.AR1
Which equation best represents the
data shown in the scatterplot?
2003 Commonwealth of Virginia Department of Education
14
F
y ⫽ 2x ⫺ 2
G
y ⫽
H
y ⫽ 2x ⫹ 2 墍
J
y ⫽ x⫺1
x
⫺2
2
SESSION: 19 PAGE: 15 5/8/103 16:15 LOGIN IS-debbie PATH: @sunultra1/raid/CLS_tpc/GRP_virginia/JOB_03-olptg11/DIV_g11alg1-1
Answer Key
Test
Sequence
Correct
Answer
Reporting
Category
Reporting Category Description
1
D
003
Equations and Inequalities
2
H
003
Equations and Inequalities
3
B
003
Equations and Inequalities
4
F
003
Equations and Inequalities
5
C
003
Equations and Inequalities
6
G
003
Equations and Inequalities
7
A
003
Equations and Inequalities
8
H
003
Equations and Inequalities
9
D
003
Equations and Inequalities
10
G
003
Equations and Inequalities
11
A
003
Equations and Inequalities
12
G
003
Equations and Inequalities
13
C
003
Equations and Inequalities
14
H
003
Equations and Inequalities
15
B
003
Equations and Inequalities
16
J
003
Equations and Inequalities
17
C
003
Equations and Inequalities
18
G
003
Equations and Inequalities
19
C
001
Expressions and Operations
20
H
001
Expressions and Operations
21
D
001
Expressions and Operations
22
F
001
Expressions and Operations
23
A
001
Expressions and Operations
24
H
001
Expressions and Operations
25
B
001
Expressions and Operations
26
G
001
Expressions and Operations
27
A
001
Expressions and Operations
28
J
001
Expressions and Operations
29
C
001
Expressions and Operations
30
G
001
Expressions and Operations
31
B
002
Relations and Functions
32
J
002
Relations and Functions
33
A
002
Relations and Functions
34
G
002
Relations and Functions
35
D
002
Relations and Functions
36
J
002
Relations and Functions
37
B
002
Relations and Functions
38
J
002
Relations and Functions
39
A
002
Relations and Functions
40
F
002
Relations and Functions
41
B
002
Relations and Functions
42
H
002
Relations and Functions
43
B
004
Statistics
44
F
004
Statistics
45
A
004
Statistics
46
G
004
Statistics
47
C
004
Statistics
48
G
004
Statistics
49
B
004
Statistics
50
H
004
Statistics