END OF COURSE ALGEBRA II

SESSION: 38 PAGE: 1 4/20/102 8:53 LOGIN IS-pam PATH: @sun1/xydisk2/CLS_psycorp/GRP_virginia/JOB_537152g11/DIV_g11alg2-1
VIRGINIA
STANDARDS OF LEARNING ASSESSMENTS
Spring 2002 Released Test
END OF COURSE
ALGEBRA II
SESSION: 38 PAGE: 2 4/20/102 8:53 LOGIN IS-pam PATH: @sun1/xydisk2/CLS_psycorp/GRP_virginia/JOB_537152g11/DIV_g11alg2-1
Property of the Virginia Department of Education
䉷 2002 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: 41 PAGE: 3 4/23/102 13:4 LOGIN IS-pam PATH: @sun1/xydisk2/CLS_psycorp/GRP_virginia/JOB_537152g11/DIV_g11alg2-1
Algebra II
3
DIRECTIONS
Read and solve each question. Then mark the
space on the answer sheet for the best answer.
For which of the following operations
is the commutative property not valid?
Multiplication
B Multiplication
C Multiplication
D Multiplication
A
SAMPLE
of
of
of
of
JY010201
real numbers
墍
complex numbers
C
matrices 墍
negative real numbers
What is the next term in the arithmetic
sequence 2, 5, 8, 11, ...?
3
B 13
C 14 墍
D 17
A
1
JY020207
墌
C
2
JY010206
墌
4
Which is equivalent to
What is the sum of the polynomials
(4q4 ⴐ 3q2 ⴐ 8q) and (5q3 ⴑ 2q2 ⴑ q)?
⫺q4 ⫹ q2 ⫹ 7q
4
3
2
B 4q ⫹ 5q ⫹ q ⫹ 7q 墍
4
2
C 4q ⫹ q ⫹ 7q
7
6
D 15q ⫹ 2q
A
5
Which of the following equations is an
example of the commutative property?
F
⫺9
G
x2⫺ 9x
(x ⫹ 7)2
H
x
墍
x⫺9
J
⫺1
9
C
L
(2x2 ⫹ 4x) ⫹ 6 ⫽ 2x2 ⫹ (4x ⫹ 6)
H
3(2x2 ⫹ 4x) ⫽ 6x2 ⫹ 12x
J
(2x2 ⫹ 4x)
冉
1
2x ⫹ 4x
2
冊
⫽ 1
2002 Commonwealth of Virginia Department of Education
墍
C
3
2x2 ⫹ 4x ⫽ 4x ⫹ 2x2 墍
G
JY020414
3
Which expression is equivalent to 公a2 ?
A
a2
B
a3 墍
2
F
x
xⴐ7
?
xⴑ9
xⴐ7
3
1
6
C
a
D
a6
JY03B202
墍
C
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6
3
Which is equivalent to 公8x6 ?
11
2
G 2x
2
H 2x 墍
3
J 2x
F
JY03A113
墌
C
L
Which best represents the graph of
y ⴔ x2 ⴑ 2x ⴐ 3?
JY080412
墍
y
C
5
4
3
2
A
1
–5 –4 –3 –2 –1
0
x 墍
1
2
3
4
5
1
2
3
4
5
1
2
3
4
5
x
1
2
3
4
5
x
–1
–2
–3
7
Which is a factored form of 8x ⴐ 1?
3
(2x
B (2x
C (2x
D (2x
A
JY050105
墌
C
⫺
⫺
⫹
⫹
2
1)(4x
1)(4x2
1)(4x2
1)(4x2
⫺
⫹
⫺
⫹
2x
2x
2x
2x
⫹
⫺
⫹
⫺
–4
–5
1)
1)
1) 墍
1)
y
5
4
3
2
B
1
–5 –4 –3 –2 –1
0
x
–1
8
–2
Which is a factor of 16x2 ⴑ 1?
–3
–4
(x ⫺ 1)
G (4x ⫹ 1) 墍
H (8x ⫺ 1)
J 4x
–5
F
JY050302
墌
C
y
5
4
3
2
C
9
1
–5 –4 –3 –2 –1
Which is equivalent to (4 ⴑ 3i)2?
0
–1
–2
–3
25
B 25 ⫺ 2i
C 7
D 7 ⫺ 24i 墍
A
JY170407
墌
C
–4
–5
y
5
4
3
2
10
D
4
What number does i equal?
墌
C
L
–2
i
G ⫺1
H ⫺i
J 1 墍
2002 Commonwealth of Virginia Department of Education
0
–1
F
JY170104
1
–5 –4 –3 –2 –1
–3
–4
–5
4
ArtCodes
JY080412.AR1
JY080412.AR2
JY080412.AR3
JY080412.AR4
SESSION: 41 PAGE: 5 4/23/102 13:4 LOGIN IS-pam PATH: @sun1/xydisk2/CLS_psycorp/GRP_virginia/JOB_537152g11/DIV_g11alg2-1
y
12
13
The graph below is an example of
which type of function?
5
JY080414
墌
JY080211
墍
4
C
C
3
ArtCodes
2
JY080414.AR1
ArtCodes
1
–5
–4
–3
–2
–1
0
JY080211.AR1
1
2
3
4
5
x
–1
–2
–3
–4
–5
Absolute value 墍
B Exponential
C Linear
D Quadratic
A
Which most likely represents the
equation of the graph above?
F
y ⫽ 公4 ⫺ x
G
y ⫽ ⫺公4 ⫺ x 墍
H
y ⫽ ⫺公4 ⫹ x
J
y ⫽ 公4 ⫹ x
14
If f(x) ⴔ 5x2 ⴑ 7, what is f(ⴑ3)?
⫺52
G ⫺22
H 38 墍
J 45
F
15
1
B ⫺1
C 3 墍
D ⫺3
5
墍
C
L
Which value is not a zero of
P(x) ⴔ x3 ⴐ 3x2 ⴑ x ⴑ 3?
A
2002 Commonwealth of Virginia Department of Education
JY090202
JY150201
墍
C
SESSION: 41 PAGE: 6 4/23/102 13:4 LOGIN IS-pam PATH: @sun1/xydisk2/CLS_psycorp/GRP_virginia/JOB_537152g11/DIV_g11alg2-1
16
17
Which graph could represent a
polynomial function with no real
zeros?
JY150206
墌
C
The amount of interest (I) owed on a
loan varies directly with the length of
time (t) of the loan. If k is the constant
JY200106
of proportionality, which formula
墍
represents this relationship?
C
A
I ⫽ kt 墍
B
I⫽
C
t ⫽ kI
D
t⫽
ArtCodes
JY150206.AR1
JY150206.AR2
JY150206.AR3
JY150206.AR4
F
G
k
t
k2
I
墍
18
Boyle’s Law states that, for a fixed
amount of gas, the volume of the gas at
a constant temperature is inversely
JY200408
proportional to the pressure. If a
墍
certain gas occupies 9.84 liters at a
C
pressure of 50 centimeters of mercury
(cm Hg), what is the approximate
pressure when the volume is increased
to 12 liters?
39.8
G 41.0
H 43.2
J 45.1
F
H
19
J
{2,
B {1,
C {3,
D {1,
6
cm
cm
cm
cm
Hg
Hg 墍
Hg
Hg
Which of the following sets represents
an arithmetic sequence?
A
2002 Commonwealth of Virginia Department of Education
L
11, 20, 29, 38, ⴢⴢⴢ} 墍
3, 9, 27, 81, ⴢⴢⴢ}
⫺5, 7, ⫺9, 11, ⴢⴢⴢ}
16, 36, 64, 100, ⴢⴢⴢ}
JY160418
墍
C
SESSION: 41 PAGE: 7 4/23/102 13:4 LOGIN IS-pam PATH: @sun1/xydisk2/CLS_psycorp/GRP_virginia/JOB_537152g11/DIV_g11alg2-1
20
If an ⴔ 6 ⴐ (n ⴑ 1)5, then a7 ⴔ
22
31
G 36 墍
H 40
J 42
F
JY160307
墌
C
21
x
G x
H x
J x
F
Given:
23
f(x) ⴔ 公x2 ⴑ 1
JY090402
墌
C
L
g(x) ⴔ x
Which of the following expressions
represents g(f(x))?
x2公x2 ⫺ 1
B
x
C
公x4 ⫺ 1
D
x2 ⫺ 1 墍
2002 Commonwealth of Virginia Department of Education
7
⫽
⫽
⫽
⫽
7
0
⫺7
⫺7 or x ⫽ 7 墍
JY040111
墍
C
What is the solution to 公x ⴐ 16 ⴔ 3公x?
x⫽
1
2
B
x⫽
8
5
C
x⫽2墍
D
x⫽8
A
2
A
Which of the following represents the
solution to ⱍ x ⱍ ⴔ 7?
JY070107
墍
C
L
SESSION: 41 PAGE: 8 4/23/102 13:4 LOGIN IS-pam PATH: @sun1/xydisk2/CLS_psycorp/GRP_virginia/JOB_537152g11/DIV_g11alg2-1
24
27
–5 –4 –3 –2 –1
0
1
2
3
4
5
JY040204
墌
C
ArtCodes
JY040204.AR1
Which inequality describes the
solution set graphed above?
JY060107
6x
2
B 6x
2
C 6x
2
D 6x
|x ⫺ 3| ⬎ 1
G |2x ⫺ 5| ⬍ 3
H |4x ⫺ 9| ⱖ 2 墍
J |5x ⫺ 13| ⱕ 5
F
墌
C
L
What are the solutions to
y2 ⴑ 4y ⴐ 4 ⴔ 36?
y
B y
C y
D y
A
⫽
⫽
⫽
⫽
F
⫺4 or y ⫽ 8 墍
4 or y ⫽ 8i
⫹
⫺4
⫹
⫺4i
JY060513
墌
C
⫺
⫹
⫹
⫺
7x
7x
7x
7x
⫺
⫹
⫺
⫹
2
2
2
2
⫽
⫽
⫽
⫽
0
0
0
0墍
JY060524
墍
C
What is the solution set for
5x2 ⴐ 4x ⴔ 1?
G
H
J
26
2
A
28
25
Which quadratic equation has
2
1
solutions x ⴔ and x ⴔ ?
2
3
再
再
再
再
冎
冎
冎
冎
⫺
⫺1, 1
5
⫺1, 1
5
JY060529
墍
C
墍
⫺1
,1
5
1
,1
5
What is the solution set for
(x ⴐ 1)2 ⴑ 9 ⴔ 0?
{⫺4, 2} 墍
G {⫺3, ⫺1}
H {2, 4}
J {⫺1, 3}
F
2002 Commonwealth of Virginia Department of Education
29
What is the solution set for 公x ⴑ 4 ⴔ 5?
{21}
B {25}
C {29} 墍
D {33}
A
8
JY070106
墍
C
SESSION: 41 PAGE: 9 4/23/102 13:4 LOGIN IS-pam PATH: @sun1/xydisk2/CLS_psycorp/GRP_virginia/JOB_537152g11/DIV_g11alg2-1
30
JY070214
墌
C
31
JY040307
墌
C
L
32
What value of q is the solution to the
6qⴐ2
7q ⴑ 9
ⴔ
?
equation
6
4
JY100205
墍
⫺ 11
F
q⫽
G
q ⫽ ⫺6 墍
H
q⫽
J
q ⫽ 48
C
L
8
ArtCodes
JY100205.AR1
31
9
What is the solution to ⱍ 2x ⴑ 3 ⱍ ⬍ 4?
A
B
⫺1
2
⫺7
2
C
x⬎
D
x⫽
⬍x⬍
7
墍
2
⬍x⬍
7
2
⫺1
2
⫺1
2
The polynomial function shown
apparently has zeros at —
⫺1 and 2
G ⫺1, 0.7, and 3 墍
H ⫺2
J 1, ⫺0.7, and ⫺3
F
or x ⬍
7
2
or x ⫽
7
2
33
Which of the following functions has
x-intercepts at ⴑ2 and 1?
y
B y
C y
D y
A
2002 Commonwealth of Virginia Department of Education
9
⫽
⫽
⫽
⫽
x2 ⫺ x ⫺ 2
x2 ⫹ x ⫺ 2 墍
x2 ⫺ 2x ⫹ 1
2x ⫺ 1
JY100303
墍
C
SESSION: 41 PAGE: 10 4/23/102 13:4 LOGIN IS-pam PATH: @sun1/xydisk2/CLS_psycorp/GRP_virginia/JOB_537152g11/DIV_g11alg2-1
34
ƒ(x) ⴔ x3 ⴐ 4x2 ⴐ x ⴑ 6 is graphed below.
y
35
f(x)
JY100575
墌
5
9
C
8
JY180306
4
墍
3
C
L
7
ArtCodes
ArtCodes
2
6
JY100575.AR1
JY180306.AR1
5
1
4
–5
3
–4
–3
–2
–1
2
O
1
2
3
4
5
–1
1
-5 -4 -3 -2 -1
0
1
2
3
4
5
x
–2
-1
–3
-2
-3
–4
-4
–5
-5
-6
-7
-8
Which equation is most likely
represented by the ellipse shown?
-9
Which is the factored form of ƒ(x)?
A
y
x
⫹ ⫽1
16
4
ƒ(x) ⫽ (x ⫺ 3)(x ⫺ 2)(x ⫹ 1)
G ƒ(x) ⫽ x(2x ⫹ 5)(x ⫺ 1)
H ƒ(x) ⫽ x(x ⫹ 3)(x ⫹ 2)
J ƒ(x) ⫽ (x ⫺ 1)(x ⫹ 2)(x ⫹ 3) 墍
B
y2
x2
⫹
⫽1
4
2
C
y2
x2
⫹
⫽1
4
16
D
y2
x2
⫹
⫽1墍
16
4
F
2002 Commonwealth of Virginia Department of Education
10
x
SESSION: 41 PAGE: 11 4/23/102 13:4 LOGIN IS-pam PATH: @sun1/xydisk2/CLS_psycorp/GRP_virginia/JOB_537152g11/DIV_g11alg2-1
36
JY180303
墌
37
When graphed, which of the following
equations would produce a parabola?
F
(y ⫺ 2)(x ⫺ 4) ⫽
C
Which graph best represents
(x ⴑ 2)2 ⴐ (y ⴑ 3)2 ⴔ 4?
1
4
JY180415
墍
y
C
5
G
(y ⫺ 4) ⫽
1
(x ⫺ 2)2 墍
4
4
3
2
A
1
H (y ⫺ 4) ⫽ (x ⫺ 2)
4
J
(y ⫺ 4)2 ⫽
ArtCodes
1
–5 –4 –3 –2 –1
0
–1
1
2
3
4
5
1
2
3
4
5
1
2
3
4
5
1
2
3
4
5
x
–2
–3
–4
1
(x ⫺ 2)2
4
–5
y
5
4
3
2
B
1
–5 –4 –3 –2 –1
0
–1
x 墍
–2
–3
–4
–5
y
5
4
3
2
C
1
–5 –4 –3 –2 –1
0
–1
–2
x
–3
–4
–5
y
5
4
3
2
D
1
–5 –4 –3 –2 –1
0
–1
–2
–3
–4
–5
2002 Commonwealth of Virginia Department of Education
11
x
JY180415.AR1
JY180415.AR2
JY180415.AR3
JY180415.AR4
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38
0
2
ⴑ1
Aⴔ 3
0
ⴑ2
4
ⴑ3
冤
冤
1
JY110511
墌
C
Bⴔ
1
ⴑ2
2
ⴑ3
0
2
冥
1
3
ⴑ1
40
再
⫺x ⴐ 2y ⴑ 5z ⴔ ⴑ12
2x ⴑ 3y ⴐ 7z ⴔ 19
ⴑ5x ⴑ 2y ⴐ z ⴔ ⴑ10
Given the system of equations above,
冋册
冥
x
y ⴔ?
z
F
G
H
J
冤
5
⫺2
0
0
0
7
⫺4
0
冥
F
冤
0
3
5
⫺2
⫺4
冤
0
⫺4
⫺1
6
⫺3
0
⫺4
12
7
⫺2
7
⫺9
2
6
⫺8
⫺1
⫺2
冤
冤冥
3
⫺2 墍
1
⫺5
⫺12
⫺11 墍
14
3
冥
⫺12
G
冤 冥
19
10
冥
H
冥
冤
1.1
0.8
⫺3.7
⫺1.9
⫺2.6
⫺1.2
冤 冥
0
J
⫺11
32
39
JY110410
墌
C
L
Which matrix is the multiplicative
7 16
?
inverse of
4
9
A
B
C
D
冋
冋
冋
冋
冋 册
册
册
册
册
⫺9
4
4
7
⫺9
16
4
⫺7
9
16
4
7
⫺9
16
4
7
墍
2002 Commonwealth of Virginia Department of Education
12
墍
C
Which matrix is the product of B ⴢ A?
1
JY120405
⫺0.1
⫺0.3
⫺0.1
冥
SESSION: 41 PAGE: 13 4/23/102 13:4 LOGIN IS-pam PATH: @sun1/xydisk2/CLS_psycorp/GRP_virginia/JOB_537152g11/DIV_g11alg2-1
41
JY120586
墌
再
9x ⴑ 5y ⴔ 12
y
42
8x ⴐ 3y ⴔ 22
Which matrix equation represents the
given system of linear equations?
C
A
B
C
D
冋
冋
冋
冋
9
⫺5
9
⫺5
8
3
8
3
9
⫺5
8
3
9
⫺5
8
3
y
[x
[x
x
y
⫽
12
7
22
6
y] ⫽
⫽
12
4
22
3
22
ArtCodes
JY130405.AR1
2
C
1
22
12
D
1
2
3
4
5
6
7
8
9
x
The graph of the linear programming
model consists of polygon ABCD and
its interior. Under these constraints,
which is the point where the maximum
value of 4x ⴐ 3y occurs?
墍
A
G B 墍
H C
J D
F
2002 Commonwealth of Virginia Department of Education
C
A
5
12
y] ⫽
墍
B
8
册冋 册 冋 册
册
冋册
册
冋册
册冋 册 冋 册
x
JY130405
9
13
SESSION: 41 PAGE: 14 4/23/102 13:6 LOGIN IS-pam PATH: @sun1/xydisk2/CLS_psycorp/GRP_virginia/JOB_537152g11/DIV_g11alg2-1
y
43
y
44
9
8
7
6
5
4
3
2
1
JY130102
墌
C
L
ArtCodes
JY130102.AR1
–9 –8 –7 –6 –5 –4 –3 –2 –1 0
–1
5
4
3
JY140403
1 2 3 4 5 6 7 8 9
x
–5
–4
–3
–2
–1
–2
–5
–8
D
冦
yⱖ6⫺x
xⱖ1
y ⱖ ⫺2
3
4
5
x
ArtCodes
JY140403.AR1
{(⫺2.1, ⫺3.4), (2, 3)}
G {(⫺3, 2), (⫺2.1, 3.4)}
H {(⫺2, ⫺3), (3, 2)} 墍
J {(2.1, ⫺3.4), (3, 2)}
F
x⫹yⱕ6
x ⱖ ⫺2 墍
yⱖ1
2002 Commonwealth of Virginia Department of Education
2
This is a portion of the graph of a
system of equations. Which is most
likely the solution set for the system?
Which set of constraints produced the
shaded feasible region?
x⫹yⱕ8
x⫺yⱕ6
x ⱖ ⫺2
yⱖ1
1
–5
–9
C
0
–4
–7
xⱖ6⫺y
xⱖ1
yⱕ2
C
L
–3
–6
B
1
–2
–4
再
再
再
墍
–1
–3
A
2
45
再
yⴔxⴐ1
y ⴔ (x ⴐ 3)2 ⴑ 4
Which is the solution set for the system
of equations above?
{(⫺6.4, 7.4), (⫺0.6, 1.6)}
B {(⫺4, ⫺3), (⫺2, ⫺3)}
C {(⫺4, ⫺3), (⫺1, 0)} 墍
D {(0.6, 1.6), (6.4, 7.4)}
A
14
JY140576
墍
C
SESSION: 41 PAGE: 15 4/23/102 13:4 LOGIN IS-pam PATH: @sun1/xydisk2/CLS_psycorp/GRP_virginia/JOB_537152g11/DIV_g11alg2-1
46
Which of the following scatterplots
shows a negative correlation?
JY190410
墌
47
y
C
$53,100
B $48,200
C $56,900 墍
D $58,800
A
ArtCodes
JY190410.AR1
JY190410.AR2
JY190410.AR3
JY190410.AR4
The Social Security (FICA) wage base,
y, (in thousands of dollars) from 1983
to 1988 is given by the equation
y ⴔ 1.9x ⴐ 34.1, where x is the number JY190506
墍
of years since 1983. What was the FICA C
wage base in 1995?
F
x
y
48
G
A clothing manufacturer is funding a
study to determine the amount spent
annually on clothes, given a family’s
income. This table contains data
tracking the clothing purchases for
seven families.
x
Annual Income
y
墍
H
x
34,400
28,700
5,000
3,900
34,600
4,700
31,500
4,500
27,700
4,200
4,400
G 4,600 墍
H 4,800
J 5,000
F
J
x
2002 Commonwealth of Virginia Department of Education
29,600
Assuming a linear relationship,
approximately how much would you
expect a family with an annual income
of $33,000 to spend on clothes?
y
15
墍
C
Annual Clothes
Expenditure
$3,800
4,200
$25,100
JY190545
ArtCodes
JY190545.AR1
SESSION: 42 PAGE: 16 4/23/102 13:50 LOGIN IS-pam PATH: @sun1/xydisk2/CLS_psycorp/GRP_virginia/JOB_537152g11/DIV_g11alg2-1
49
y
50
Consider this scatter plot.
y
JY190575
墌
9
C
8
6
墍
C
L
7
ArtCodes
JY190575.AR1
JY190405
5
ArtCodes
JY190405.AR1
6
5
4
4
3
3
2
2
1
0
0
1
0
1
2
3
4
5
6
x
F
⫺3
G
⫺1 墍
x⫹1
H
⫺
x⫹3墍
J
1
1
x⫹3
2
y⫽
B
y⫽
C
y⫽
D
y⫽x
⫺1
2
⫺1
3
2
2002 Commonwealth of Virginia Department of Education
3
4
5
6
7
8
9
x
Which is closest to the value of the
slope of the line of best fit of the data
in this scatterplot?
Which equation represents the line
closest to the curve of best fit?
A
1
16
1
3
SESSION: 41 PAGE: 17 4/23/102 13:4 LOGIN IS-pam PATH: @sun1/xydisk2/CLS_psycorp/GRP_virginia/JOB_537152g11/DIV_g11alg2-1
Answer Key
Test
Sequence
Correct
Answer
Reporting
Category
1
B
001
Expressions and Operations
2
F
001
Expressions and Operations
3
C
001
Expressions and Operations
4
H
001
Expressions and Operations
5
B
001
Expressions and Operations
6
H
001
Expressions and Operations
7
C
001
Expressions and Operations
8
G
001
Expressions and Operations
9
D
001
Expressions and Operations
10
J
001
Expressions and Operations
11
A
002
Relations and Functions
12
G
002
Relations and Functions
13
A
002
Relations and Functions
14
H
002
Relations and Functions
15
C
002
Relations and Functions
16
G
002
Relations and Functions
17
A
002
Relations and Functions
18
G
002
Relations and Functions
19
A
002
Relations and Functions
20
G
002
Relations and Functions
21
D
002
Relations and Functions
22
J
003
Equations and Inequalities
23
C
003
Equations and Inequalities
24
H
003
Equations and Inequalities
25
A
003
Equations and Inequalities
26
F
003
Equations and Inequalities
27
D
003
Equations and Inequalities
28
G
003
Equations and Inequalities
29
C
003
Equations and Inequalities
30
G
003
Equations and Inequalities
31
A
003
Equations and Inequalities
32
G
004
Analytical Geometry
33
B
004
Analytical Geometry
34
J
004
Analytical Geometry
35
D
004
Analytical Geometry
36
G
004
Analytical Geometry
37
B
004
Analytical Geometry
38
G
005
Systems of Equations/Inequalities
39
B
005
Systems of Equations/Inequalities
40
F
005
Systems of Equations/Inequalities
41
D
005
Systems of Equations/Inequalities
42
G
005
Systems of Equations/Inequalities
43
B
005
Systems of Equations/Inequalities
44
H
005
Systems of Equations/Inequalities
45
C
005
Systems of Equations/Inequalities
46
H
006
Statistical Analysis
47
C
006
Statistical Analysis
48
G
006
Statistical Analysis
49
C
006
Statistical Analysis
50
G
006
Statistical Analysis
Reporting Category Description