G
rectangle
HFundamental triangleAlgebra and Number Sense NYS J
2006 – 2010
square
Book 1:
3 1.
Simplify the expression below.
2(23 ! 22)
8
4 2.
A
0
B
4
Cindy
has
C
8 four more than five times as many cousins as Kathy, k. Which expression
represents how many cousins Cindy has compared with Kathy?
D
16
F
4k ! 5
G
5k " 4
What is the least common multiple of 3, 6, and 27 ?
H
5k ! 4
F
3
J
5k(k ! 4)
G
18
H
27
J
54
9
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Simplify the
expression below.
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5
4 ! 23 " |–4|
8 3. Cindy has four more than five times as many cousins as Kathy, k. Which expression
A
6
1/11/06
represents
how many
cousins
Cindy has
with Kathy?
5
Lavonda learned
to ride
a unicycle.
She compared
practiced riding
the unicycle for 25 minutes on
b47951_7mBk1_06ftNYS.indd 5 7
47951_7mBk1_06ftNYSWo.indd
BMonday,
8
10 minutes on Tuesday, 22 minutes on Wednesday, 31 minutes on Thursday,
F
4k ! 5
and 13 minutes on Friday. What is the range for the data?
C
14
G
5k " 4
A
5 minutes
D
16
H
5k ! 4
B
12 minutes
J
5k(k ! 4)
C
21 minutes
D
10 4.
9
6
31 minutes
What is the greatest common factor of 28, 42, and 56 ?
F
2
Simplify the expression below.
G
7
4 ! 23 " |–4|
José fills his fish tank with water. The tank holds 250 liters of water. How many
H
14
milliliters
A
6 does the tank hold?
J
28
B1 liter
8 ! 1,000 milliliters
C
14
4:15:52
5:15:19 PM
12
Heather stands in the lunch line at school. For her meal, she can choose spaghetti or
NYS pizza.
Fundamental Algebra Number Sense 2006 – 2010
She can
alsoand have
apple
juice, orange juice, or milk. How many different
combinations of one meal and one drink can Heather choose?
11 5.
F
2
Anna is a painter. She charges $130 for paint supplies and $25 for each hour, h, she
works.
G
3 Which expression represents the total amount Anna charges?
A
H
(130
! 25)h
5
B
J
130
6 ! 25h
C
130h ! 25
D
130 ! (25 ! h)
13 6.
17
The average distance from Pluto to the Sun is 3.65 " 109 miles. What is this number
written intent
standard
form? prism, as shown below.
Richard’s
is a triangular
12
A
365,000,000
Heather stands in the lunch line at school. For her meal, she can choose spaghetti or
pizza.3,650,000,000
She can also have apple juice, orange juice, or milk. How many different
B
combinations of one meal and one drink can Heather choose?
C
36,500,000,000
F
2
D
365,000,000,000
G
3
H
14 7.
5
Which combination of shapes makes up the bases and faces of Richard’s tent?
J
6algebraic expression represents “six less than half a number”?
Which
A
F
B
2 triangles, 2 rectangles
1
x!6
2 triangles, 3 rectangles
C
3 triangles,
2 rectangles
1
G
6! x
2
13 D
The average
distance
from Pluto to the Sun is 3.65 " 109 miles. What is this number
3 triangles,
3 rectangles
1 in■standard form?
■ SECUREwritten
HMATERIAL
(xdiscuss
! 6) contents
Page
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2 makeup
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schedule.
A
365,000,000
1
JB
(6
! )x
3,650,000,000
2
Go On
b47951_7mBk1_06ftNYS.indd 9 11
47951_7mBk1_06ftNYSWo.indd
18 8.
15
9
C the 36,500,000,000
In
year 2000, approximately 169,000,000 personal computers were used in the
United States. What is this number expressed in scientific notation?
D
365,000,000,000
F
1.69 ! 10–8
Extreme View Helicopter Tours flew 34 times on Friday. They flew the same number of
times
on Saturday
G
16.9
! 10–7 as they did on Sunday. The total number of times they flew for the
three days was 118. How many times did Extreme View Helicopter Tours fly on
H
16.9 ! 107
Saturday?
J
A
1.69 ! 108
34
B
42
C
59
84 ■
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1/11/06 4:15:53
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Book 1
Page
9
Colors available (choose one): __Tan __Blue __Green __Black __Red
What is the range for these salaries?
Sizes available:
__Small __Medium __Large
Material:
__Leather __Nylon
$24,750.00
NYS FA
undamental Algebra and Number Sense B
28
9.
14
$25,500.00
2006 – 2010
CMing $27,600.00
wrotedifferent
the fourcombinations
numbers below
in scientific
notation.
How many
of color,
size, and
material are possible
for
Pam’s
suitcase?
D
$28,350.00
5.5 ! 105
1.2 ! 103
2.8 ! 106
7.4 ! 102
A
10
Which number has the greatest value?
B
15
F
5.5 ! 105
C
24
G
1.2 ! 103
D
30
6
Stacy
starts
account with $15. Each month she deposits $10 more into
H
2.8 ! a10savings
her account. Stacy now has saved $75. Which equation can be used to determine
J
7.4 !months,
102
how
many
m, Stacy has deposited money into her savings account?
A
10m • 15 ! 75
1110.
This month, Drew worked six hours less than twice the number of hours, h, he worked
B
15m • 10 ! 75
last month. What expression represents the number of hours Drew worked this month?
C
10m " 15 ! 75
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Book 1
A
2 ! 6h
until end of designated makeup schedule.
D
15m " 10 ! 75
B
2h ! 6
C
6 ! 2h
D
6h ! 2
b47951_7mBk1_06ftNYS.indd 1618
47951_7mBk1_06ftNYSWo.indd
1/11/06 4:15:53
5:15:24 PM
1511.
What is the greatest common factor of 42, 63, and 105 ?
12
A
3
Which number is an irrational number ?
B
7
!2
A
C
144
B
–
3
D
21
C
1.8
1612.
D
– !9
The temperature of the sun at its core is approximately 27 million degrees Fahrenheit.
What is 27 million written in scientific notation?
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■ SECURE MATERIAL ■
6
! 10contents
A Do 2.7
Do not reproduce.
not discuss
Page
10
until end of designated makeup schedule.
7
B
2.7 ! 10
C
27 ! 106
D
27 ! 107
Book 1
■ SECURE MATERIAL ■
11
Do not reproduce. Do not discuss contents
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Page
NYS Fundamental Algebra and Number Sense 1913.
2006 – 2010
The expression below represents the total cost in dollars, including shipping, for a
certain number of music CDs, m.
8m ! 5
Based on the expression above, what is the total cost for 4 music CDs?
1814.
A
$13
B
$17
C
$32
D
$37
Connor is researching four types of memory modules for his computer. The data
are shown in the table below.
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Book 1
Page
Connor wants to buy the module with the most memory. Which module should
he buy?
2015.
19
A
Module W
B
Module X
C
Module Y
D
Module Z
What is the least common multiple of 9, 18, and 21 ?
A
3
B
81
The
below represents the total cost in dollars, including shipping, for a
C expression
126
certain number of music CDs, m.
D
3,402
8m ! 5
Based on the expression above, what is the total cost for 4 music CDs?
A
$13
B
$17
13
6
Which of these is an irrational number?
Monday
−2 Algebra and Number Sense Tuesday
NYS FA
undamental 2006 – 2010
B
!is56the prime factorization of 144 written in exponential form?
2316.Wednesday
What
2 2
C
!64
Thursday
A
2
4
KEY
3 2
D
3.14
Friday
B
2
3
= 5 fish
C
2342
What is the total number of fish sold on Tuesday and Wednesday?
D
2432
717.
A
10
What is the least common multiple (LCM) of 8, 12, and 18 ?
B
25
A
C
12
24
45
B
36
D
50
If the circumference of a circle is 16!, what is the radius?
C
48
C " 72
2!r ■
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MATERIAL
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Page
1319.
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Book 1
Page
15
A
4
What is the value of the expression r 2 ! s 3 when r " 5 and s " 3 ?
B
8
A
C
19
16
B
D
34
32
C
52
D
85
8
Book 1
–5
A butterfly weighs only about 5.0 # 10
in standard form?
A
0.00005
B
0.000005
C
50,000
D
500,000
■ SECURE MATERIAL ■
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■ SECURE MATERIAL ■
Do not reproduce. Do not discuss contents
until end of designated makeup schedule.
of a kilogram. What is this number written
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Book 1
Page
9
NYS Fundamental Algebra and Number Sense 2020.
2006 – 2010
What is the greatest common factor (GCF) of 108 and 420 ?
A
1
6
Which set contains only whole numbers?
B
9
A
C
{0, 3, 8, 17}
12
D
B
18
{0, 3, P, 5}
2621. CWhich{–5,
expression
0, 3, 8} has the greatest value?
21
A
1.045
102
9 ! 25
D
2, , 7,
2
32
B
1.45
! 10the
Alison
is doing
laundry for her family and decides to count all the T-shirts. She
{
}
creates the graph
below to show how many T-shirts of each color her family has placed
C
8.4 ! 10−2
in the laundry.
D
222.
−8.4 ! 102
The table below shows the number of computers
a company
sold
Green,
6
in four different years.
Blue, 15
27
Yellow, 4
COMPUTERS SOLD
Which tool is most appropriate for measuring the mass of a serving of cheese?
Year
A
ruler
B
thermometer
C
measuring cup
Pink, 2
2002
Red, 9
Computers Sold
3.2 105
[not
drawn to scale]
8.4 103
2003
D
weighing scale
What percent of the total number of T-shirts is red?
5.9 105
2004
A
B
28
20%
25%
2005
1.2 104
There36%
are 500 students in Andrew’s school. Andrew wants to survey a sample of
C
students
to determine
the most
popular
school
subject. Which sampling method is
In
what year
did the company
sell
the most
computers?
D
90%to use to predict the most popular school subject?
the best
A
2002
A
B
randomly select 50 students from the student list of 500
2003
B
C
C
D
D
randomly select 10 students having lunch in the cafeteria
2004
select the first 50 girls entering the auditorium for an assembly
2005
select the first 25 students leaving the building after school
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15
PageOn
Go
D
Eva’s conclusion is not valid because she surveyed students at a movie theater.
NYS Fundamental Algebra and Number Sense 4
823.
24.
20
5
2006 – 2010
Which expression is a binomial?
The mass of a typical raindrop is 8.7 105 grams. What is 8.7 105
p2
in standard
form?
A
3w
870,000
B
3w 1
0.000087
C
8,700,000
3p2 2p 2
D
0.0000087
What is the greatest common factor (GCF) of 450 and 735 ?
AA box3 contains 6 red pens and 4 blue pens. Cory randomly picks a pen from
the box and keeps it. Then Todd randomly picks a pen from the box. What is the
Bprobability
5
both boys will pick red pens?
C
D
15
1
3
35
9
25
Page 8
25.
4
Which expression is a binomial?
21
Student
3p2 2p 2
Predicted Time
(in seconds)
Actual Time
(in seconds)
74
63
61
70
Angie
5
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until end of designated makeup schedule.
1
30
2
Four p
students predicted how long it would take them to run around a city block.
1
Their 3w
predictions
and actual times are shown in the table below.
36
3w 1
626.
N SECURE MATERIAL N
Book 1
Simplify the expression below.
Rachael
–4x Thomas
(–x)
68
76
A box contains 6 red pens and 4 blue pens. Cory randomly picks a pen from
Jordan
5x and keeps
65
the box
it. Then Todd randomly
picks a pen 72
from the box. What is the
probability both boys will pick red pens?
3x
Which
student’s predicted time is closest to his or her actual time?
1–3x
3
A
Angie
–5x
9
B
Rachael
25
C
D
1Thomas
30
Jordan
1
36
Page
6
Book 1
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1
8
8
42
NYS Fundamental Algebra and Number Sense 2427.
2006 – 2010
What is
8 the greatest common factor (GCF) of 64 and 84 ?
34
2
1
44
6
8
2328.
A scientist discovers a dinosaur bone that is 7 107 years old. What is this number
in standard form?
25
7,000,000
If K 31 and M 26, which graph most closely represents the locations
of K and
M on a number line?
7,100,000
70,000,000 M K
71,000,000
4
5
6
M
Book 2:
3229.
Page
K
5
4
M
7
6
7
K
The table below shows geographic information about Antarctica.
14
4
5
M
6
7
K
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ANTARCTICA
Area
4
Book 1
5
6
7
Lowest elevation
1.4 x 107 square kilometers
–2.56 x 103 meters
Write the numbers, in standard form, for the area and the lowest elevation
of Antarctica.
Answer area
square kilometers
lowest elevation
meters
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15
NYS Fundamental Algebra and Number Sense 38
30.
2006 – 2010
The table below shows the number of Earth days it takes for two of Jupiter’s moons
to make one full orbit around Jupiter.
JUPITER’S MOONS
Name
Callisto
Themisto
Orbit Time
(in Earth Days)
1.67 x 101
1.3002 x 102
How much longer, in Earth days, does it take for Themisto to orbit Jupiter than
it does for Callisto to orbit Jupiter? Write your answer in standard form.
Show your work.
31.
33
Write “five less than four times a number” as an algebraic expression.
Expression
Evaluate the expression above when the value of the unknown number is 3.
Answer
Earth days
Show your work.
Answer
32.
36
Write the prime factorization of 84 in exponential form.
Show your work.
STOP
Page
12
Book 2
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NYS Fundamental Algebra and Number Sense 33.
33
2006 – 2010
What is the value of the expression below when a 2 and b 6 ?
3
2
5b
34 3a The
radius of a hydrogen atom is about 0.000000106 millimeter. Write the length of
this radius in scientific notation.
Show your work.
34.
34
millimeter(s)
Answer
The radius of a hydrogen atom is about 0.000000106 millimeter. Write the length of
this radius in scientific
notation.
On the lines
below, explain how you determined your answer.
millimeter(s)
Answer
On the lines below, explain how you determined your answer.
35.
36
Jerry plans to build a deck that is 189 square feet. What is the prime factorization
of 189? Write your answer in exponential form.
Answer
Show your work.
Page 4Answer
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Book 2
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Jerry wants his deck to be more than 6 feet wide. Using your result from above,
write two possible sets of dimensions for Jerry’s deck.
Answer 1.
feet by
feet
2.
feet by
feet
Go O
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Book 2
Pag