Transcript Document

Algebra 1 Released Items
2003
Equations and Inequalities
Which property of real numbers is
utilized by rewriting 11x + 5xy as
x(11 + 5y)?
A. Associative property for
addition
B. Commutative property for
addition
C. Closure property for
multiplication
D. Distributive property for
multiplication over addition
3
4
5
f..
tiv
e
pr
op
er
ty
...
fo
r
pr
op
er
ty
pr
op
is
t
D
lo
s
ur
e
rib
u
...
rt
y
pr
op
e
om
m
ut
at
iv
e
C
2
C
tiv
e
oc
ia
ss
A
1
er
t..
.
25% 25% 25% 25%
What is the solution to
2 - 4a = 16?
1
2
3
4
5
/2
25%
-9
/2
25%
-7
25%
10
18
10
-7/2
-9/2
18
A.
B.
C.
D.
25%
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?
25% 25% 25% 25%
5
ft
2
45
3.
25
5
1,
4
91
3
78
2
1.
6
72
1
ft
ft
726 ft
781.25 ft
913.5 ft
1,452 ft
ft
A.
B.
C.
D.
Which graph best represents the
function y = -4/3x + 2?
B.
3
4
5
25%
D
2
25%
C
1
D.
25%
B
C.
25%
A
A.
What is the solution to the inequality
7x - 5 > x + 1?
2
3
4
5
5/
2
25%
x
<
-1
>
x
>
1
<
x
1
25%
x
x<1
x>1
x > -1
x < 5/2
A.
B.
C.
D.
25%
1
25%
Which line has a negative slope?
4
5
25%
D
3
25%
C
2
25%
B
1
A
B
C
D
A
A.
B.
C.
D.
25%
Which line most likely has a slope of ½
and y-intercept 3?
A.
B.
25%
25%
4
5
D
3
C
2
B
1
25%
D.
A
C.
25%
1
25%
25%
2
3
4
5
6
6
-6
-1
1/6
6
-6
A.
B.
C.
D.
25%
1/
25%
-1
What is the slope of the graph of
y = 6x - 1?
What is the slope of the line that
goes through (-3, 2) and (3, 2)?
2
3
4
5
3
2
2/
3/
ef
in
nd
U
1
0
Undefined
0
2/3
3/2
ed
A.
B.
C.
D.
25% 25% 25% 25%
Which equation fits the data in the
table?
A.
B.
25%
25%
25%
5
D
4
C
3
B
2
A
D.
C.
1
25%
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. Which is
an equation of the graph shown?
25%
25%
25%
4
5
=
S
=
S
=
S
6/
t
6t
t
+
6
=
3
S
2
t/6
S=6+t
S = 6t
S = 6/t
S = t/6
A.
B.
C.
D.
1
25%
The equation of the line that contains
the points (-8, 1) and (0, -5) is —
A.
B.
25%
25%
25%
5
D
4
C
3
B
2
A
D.
C.
1
25%
Which is the solution to the system of
equations shown?
5
0
=
4,
y
=
1
=
y
=
=
3,
x
4
x
3
2,
y
=
3
=
y
1,
=
2
x
1
x
x = 1, y = 3
x = 2, y = 2
x = 3, y = 1
x = 4, y = 0
A.
B.
C.
D.
2
25% 25% 25% 25%
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?
25% 25% 25% 25%
5
8.
..
in
.,
w
22
th
ng
id
th
id
th
9.
..
28
in
.,
w
25
th
ng
Le
4
Le
3
id
th
id
th
in
.,
w
22
th
ng
2
Le
1
1.
..
12 in.
9 in.
10 in.
8 in.
th
width
width
width
width
ng
in.,
in.,
in.,
in.,
Le
22
25
28
22
in
.,
w
Length
Length
Length
Length
1.
..
A.
B.
C.
D.
This is a graph of a system of equations. Which
is most likely the solution to the system of
equations shown?
4
5
,2
)
,3
)
(2
3
25% 25%
(3
2
(0
1
,0
)
5)
0)
2)
3)
25%
(1
(0,
(1,
(3,
(2,
,5
)
A.
B.
C.
D.
25%
2x2 - 3x + 1 = 0
Which is the solution set for the
equation above?
A.
B.
25%
25%
D
5
C
4
B
3
A
2
25%
D.
C.
1
25%
x2 – 4 = 0
Which is the solution set for the
equation above?
4
5
}
,4
4}
25%
{0
3
25%
{1,
2
{4,
1
25%
2}
25%
{2,
{-4, 1}
{-2, 2}
{-1, 4}
{0, 4}
1}
A.
B.
C.
D.
Expressions and Operations
2
3
4
5
25%
25%
-1
2
1
25%
-6
12
-3
-6
-12
12
A.
B.
C.
D.
25%
-3
What is the value of 3x2 - y2 if x = 1
and y = 3?
Which expression correctly represents
$10 less than twice the cost, c?
2
3
4
5
10
25%
-1
0
0
-1
-2
+
c
-2
10
1
25%
c/
2
25%
c
25%
2c
10 - 2c
10 - 2 + c
2c - 10
c/2 - 10
A.
B.
C.
D.
Which is equivalent to
A.
B.
25%
C.
25%
25%
4
5
D
3
C
2
B
D.
A
1
25%
Consider the following models.
What polynomial is represented by the
following?
2
3
4
5
2
+
x
-5
-5
7x
3x
+
2
3x
2
-7
-x
2
3x
1
x
-5
-x-5
- 7x - 5
+ 7x - 5
+x-5
3x
3x2
3x2
3x2
3x2
A.
B.
C.
D.
-5
25% 25% 25% 25%
Consider the following models.
Which expression represents the area
of the diagram below?
x2
1
2
3
4
5
4
+
x2
+
5
+
2x
4x
+
5x
+
4
x2 + 5x + 4
2x + 5
4x + 10
x2 + 4
A.
B.
C.
D.
10
25% 25% 25% 25%
The continent of North America has an area of
approximately 9.4 x 106 square miles. The
area of Asia is approximately 1.74 x 107
square miles. How many square miles larger is
Asia than North America?
1
x
10
6
x
10
-1
x
6
0
5
8.
4
7.
3
10
10
x
6
2
7.
1
25% 25%
0
7.6 x
7.6 x 10-1
8.0 x 106
8.0 x 101
25%
1
A.
B.
C.
D.
25%
8.
101
Which expression is equivalent to
(9x + 1)(9x - 1)?
-1
8x
-1
-1
x2
81
x2
18
x2
81
18
x
-1
18x
81x2 - 1
18x2 - 1
81x2 - 18x - 1
A.
B.
C.
D.
25% 25% 25% 25%
1
2
3
4
5
What is one of the factors of
x2 - 2x - 15?
2
3
4
5
+
+
15
)
1)
25%
(x
(x
-5
)
-3
(x
1
25%
(x
(x - 3)
(x - 5)
(x + 1)
(x + 15)
A.
B.
C.
D.
25%
)
25%
When completely factored,
4 - 16x + 28y equals —
2
3
4
5
y)
-7
x
-4
(4
4
-7
-4
1
4(
y)
(1
x)
+
+
28
4x
y
7y
)
+
x
-4
1
4(
1
(4
4(1 - 4x + 7y)
4(1 - 4x) + 28y
(4 - 7y)(1 + 4x)
4 - 4(4x - 7y)
A.
B.
C.
D.
)
25% 25% 25% 25%
The area of a rectangle is represented
by the expression
2x2 + 5x + 2.
Which is an equivalent expression for
this area?
1)
2)
4)
2)
5
2)
x
+
1)
(x
+
4)
+
1)
(x
+
x
+
(2
4
(2
3
+
3)
(x
+
2)
(x
+
x
2
(2
1
x
+
+
+
+
(2
2)(x
3)(x
1)(x
1)(x
1)
+
+
+
+
2)
(2x
(2x
(2x
(2x
A.
B.
C.
D.
25% 25% 25% 25%
Which is closest to the value of x if
x = 2√7?
1
2
3
4
5
25%
9.
9
25%
5.
3
25%
3.
7
3.2
3.7
5.3
9.9
3.
2
A.
B.
C.
D.
25%
What is the value of √3.2/2
to the nearest tenth?
4
5
25%
1.
5
3
25%
1.
3
2
25%
0.
9
1
0.7
0.9
1.3
1.5
0.
7
A.
B.
C.
D.
25%
Relations and Functions
The numbers in this table follow a
linear pattern. What is the missing value?
2
3
4
5
25%
25%
10
1
25%
9
25%
8
7
8
9
10
7
A.
B.
C.
D.
Which of these data sets represents
a function?
A.
B.
25%
25%
4
5
D
3
C
2
B
1
25%
D.
A
C.
25%
Loki said the following graph does not represent a
function of x. Which pair of points could Loki use to
prove that her statement is correct?
1
2
3
4
5
(..
nd
)a
,0
(-5
,4
)a
nd
(..
.
(..
nd
)a
(-3
,3
nd
(-3,-4)
(4, 3)
(4,-3)
(5, 0)
(-4
and
and
and
and
)a
4)
3)
4)
0)
,4
(-3,
(-4,
(-3,
(-5,
(-3
A.
B.
C.
D.
(..
.
25% 25% 25% 25%
What is the apparent range of the
function of x shown?
A. The set of all real
numbers greater
than or equal to 4
B. The set of all real
numbers greater
than or equal to 1
C. The set of all real
numbers less than
or equal to 1
D. The set of all real
numbers
4
5
u.
..
ll
re
al
n
u.
..
fa
se
e
se
e
to
fa
ll
re
al
n
u.
..
al
n
re
ll
fa
to
se
e
to
Th
3
Th
2
Th
1
Th
e
se
to
fa
ll
re
al
n
u.
..
25% 25% 25% 25%
Which equation best describes this graph?
25% 25% 25% 25%
1
2
3
4
5
+
2
-2
=
x
x
=
y
y
y
=
y
2x
=
+
-x
2
y = -x
y = 2x + 2
y=x-2
y=x+2
A.
B.
C.
D.
1
2
3
4
5
25%
25%
25%
11
25%
5.
5
-5
-1
5.5
11
-5
A.
B.
C.
D.
-1
If ƒ(x) = -2x + 3, what is ƒ(-4)?
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 this linear relationship?
25% 25% 25% 25%
4
5
2
=
p
3m
=
4m
+
+
2m
p
=
p
3
+
3
5
3.
+
m
=
2
p
1
2.
5
p = m + 3.5
p = 2m + 3
p = 3m + 2.5
p = 4m + 2
A.
B.
C.
D.
What is the range of the function
ƒ(x) = 3x - 1 when the domain is
{-1, 0, 1}?
2
3
4
5
25%
-1
,
,2
,4
}
1}
0,
{1,
{1,
1
25%
2}
25%
{4,
25%
{1
{-1, 2}
{-1, 0, 1}
{1, 2, 4}
{-4, -1, 2}
2}
A.
B.
C.
D.
Which of the following does not
represent a function of x?
A.
B.
25%
25%
4
5
D
3
C
2
B
1
25%
D.
A
C.
25%
Which is a zero of the function
ƒ(x) = x2 + 6x - 7?
1
2
3
4
5
25%
25%
41
25%
7
25%
-6
-7
-6
7
41
-7
A.
B.
C.
D.
3
4
5
1/
6c
=
=
h
=
5/
3c
h
2
h
1
h
=
10
c
6c
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?
25% 25% 25% 25%
A. h = 10c
B. h = 6c
C. h = 5/3c
D. h = 1/6c
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 50°F, what is the
pressure in the chamber when the temperature
of the chamber is 75°F?
4
5
at
m
5
at
m
5
0
25%
27
3
20
5
2
17
1
22
atm
atm
atm
atm
25%
at
m
175
200
225
275
25%
at
m
A.
B.
C.
D.
25%
Statistics
is equal to which matrix?
A.
B.
25%
25%
4
5
D
3
C
2
B
1
25%
D.
A
C.
25%
-2D =?
A.
B.
25%
C.
25%
5
D
4
C
3
B
2
25%
D.
A
1
25%
Barry’s daily grades for one grading period are
shown below.
94, 88, 87, 92, 78, 88, 93, 100, 92, 90, 92, 85
What was the mode of his daily grades?
4
5
25%
90
3
25%
91
2
25%
92
1
93
92
91
90
93
A.
B.
C.
D.
25%
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. What was the median number of
millimeters of growth?
25%
25%
4
5
17
3
16
2
15
1
25%
14
15
16
17
14
A.
B.
C.
D.
25%
Connie made a scatterplot comparing the shoulder
heights of her friends’ dogs to their weights. Connie’s
dog stands 28 inches to his shoulder. Using a line of
best fit for the plot, which is the best prediction for
her dog’s weight?
5
nd
s
po
u
po
u
55
po
u
4
70
3
nd
s
2
40
1
po
u
pounds
pounds
pounds
pounds
65
40
55
65
70
nd
s
A.
B.
C.
D.
nd
s
25% 25% 25% 25%
Scott made a box-and-whisker graph of the
soccer goals made by the players in his district.
What is the range of the goals made by the
players?
4
5
25%
25%
4
3
25%
6
2
25%
18
1
24
18
6
4
24
A.
B.
C.
D.
Which equation best represents the data
shown in the scatterplot?
25% 25% 25% 25%
3
4
5
1
xy=
2x
x/2
-2
y=
2
y=
2x
y=
1
+2
y = 2x - 2
y = x/2 - 2
y = 2x + 2
y=x-1
-2
A.
B.
C.
D.