Transcript Document

Algebra I Released Items
2002
Equations and Inequalities
Which property justifies the following
statement?
If 3a + 3b = 12 then 3(a + b) = 12
A. Commutative property of
multiplication
B. Distributive property for
multiplication over addition
C. Multiplicative identity
property
D. Associative property of
addition
1
2
3
4
5
A
ss
oc
ia
tiv
e
pr
op
e
rt
y
..
...
e
id
e
nt
ity
f..
at
iv
pr
op
er
ty
ul
tip
lic
M
tiv
e
rib
u
is
t
D
C
om
m
ut
at
iv
e
pr
op
er
t..
.
25% 25% 25% 25%
A rectangular planter can hold 2,304 cubic
inches of soil. The dimensions of the base of
the planter are 24 inches by 12 inches. What is
the height of the planter?
25% 25% 25% 25%
4
5
he
s
he
s
in
c
2
in
c
in
c
19
3
16
2
8
in
c
4
1
he
s
4 inches
8 inches
16 inches
192 inches
he
s
A.
B.
C.
D.
The graph of y = -¾x + 1 is shown. If the line
in the graph is shifted up 2 units, which is the
equation of the new line?
25% 25% 25% 25%
4
5
+3
-¾ x
-¾ x
2
y=
y=
3
y=
2
¾x
+
3
¾x
+
y=
1
+2
y = ¾x + 3
y = ¾x + 2
y = -¾x + 2
y = -¾x + 3
A.
B.
C.
D.
What is the solution to 12 – 1/9d = 17?
2
3
4
5
25%
-5
/9
-3
=
d
-4
5
=
d
-2
4
=
d
1
25%
=
25%
3
25%
d
d = -243
d = -45
d = -3
d = -5/9
A.
B.
C.
D.
Which statement is always true?
25% 25% 25% 25%
a
+
1
2
3
4
5
-4
a
a
÷
4
-a
=
4
=
4
÷
a
(-4
4
+
+
4)
a
=
=
a
4
+
·a
0
4+a=4·a
a + (-4 + 4) = a + 0
a÷4=4÷a
4-a=a-4
A.
B.
C.
D.
Which is the graph of a line that appears to
have a slope of 3 and y-intercept -2?
A.
B.
25%
25%
4
5
D
3
C
2
B
1
25%
D.
A
C.
25%
What is the slope of the line that
contains points (2, 3) and (2, -4)?
ef
in
nd
U
1
2
3
4
5
-4
-¼
0
Undefined
0
-¼
-4
ed
A.
B.
C.
D.
25% 25% 25% 25%
Which best represents the equation of
the line shown?
25% 25% 25% 25%
1
-2
x
+
=
=
=
y
5
y
4
y
3
-2
x
2x
+
2x
=
2
y
1
-1
2x + 1
2x - 1
-2x + 1
-2x - 1
1
=
=
=
=
-1
y
y
y
y
A.
B.
C.
D.
What is the slope of the line represented
by the equation -2y = x - 1?
1
2
3
4
5
25%
25%
2
25%
½
25%
-½
-2
-½
½
2
-2
A.
B.
C.
D.
Which line on the grid appears to have
slope 2/3?
25%
25%
4
5
D
3
C
2
B
1
25%
A
B
C
D
A
A.
B.
C.
D.
25%
An equation for the line shown could be —
25% 25% 25% 25%
3
4
5
x+
1
1
xy=
y=
2
y=
y=
1
-x
y=x
y = -x
y=x-1
y=x+1
x
A.
B.
C.
D.
What is the solution to this system of
equations?
2
3
4
5
-2
1
=
=
y
y
6,
=
=
2,
x
x
=
2,
y
=
2
=
y
2,
=
x
1
x
x = 2, y = 2
x = 2, y = 3
x = 2, y = 1
x = 6, y = -2
A.
B.
C.
D.
3
25% 25% 25% 25%
Kristy is making a rectangular quilt that is
2 feet longer than it is wide. If the
perimeter of the quilt is to be 32 feet,
what will be its dimensions?
2
3
4
5
ft
ft
17
9
7
ft
by
7
ft
b
y
ft
b
y
15
1
5
4
ft
b
y
8
ft
4 ft by 8 ft
5 ft by 7 ft
7 ft by 9 ft
15 ft by 17 ft
ft
A.
B.
C.
D.
25% 25% 25% 25%
Which is most likely the solution to the
system of equations shown in the graph?
25%
25%
5
,0
)
,4
)
)
,0
(1
4
(3
3
(-2
2
(4
1
25%
(4, 3)
(-2, 0)
(3, 4)
(1, 0)
,3
)
A.
B.
C.
D.
25%
Which is an equation for the line that
contains the points (-3, 5) and (1, -3)?
y = -x + 2
y = -2x - 1
y = -1/2x – 3/2
y = 3/2x – 9/2
3/
2
-1
4
5
3/
2x
y
=
3
=
2x
-1
/
=
y
y
2
–
–
-2
x
+
-x
=
y
1
9/
2
25% 25% 25% 25%
2
A.
B.
C.
D.
2
3
4
5
25%
25%
25%
2
25%
-1
1
-4
-2
-1
2
-4
A.
B.
C.
D.
-2
Which is a solution to (2x + 3)2 = 25?
The dimensions of a rectangle are shown
in the drawing below. If the area is 28
square units, what is the value of d?
4
5
ts
un
i
ts
un
i
un
its
25%
14
3
25%
12
2
2
1
25%
7
2 units
7 units
12 units
14 units
un
its
A.
B.
C.
D.
25%
What is the solution to 2x + 3 > x - 5?
2
3
4
5
25%
>
-2
>
x
-2
/
-8
>
x
-8
/
>
x
1
25%
3
25%
3
25%
x
x > -8/3
x > -8
x > -2/3
x > -2
A.
B.
C.
D.
Expressions and Operations
2
3
4
5
25%
25%
-1
0
1
25%
-4
2
-2
-4
-10
2
A.
B.
C.
D.
25%
-2
What is the value of a(b - c) if
a = 2, b = -3 and c = -2?
Each week Jessica earns a 2% bonus on any sales she
makes over $600. She also receives a fixed salary of
$190 per week. If Jessica sold $1,300 worth of
merchandise in a week, which equation could be used
to determine her total earnings, t, for the week?
t = (0.02)[1.90 + (1,300 - 600)]
t = 190 + (0.02)(600)
t = (190 + 600)(0.02)
t = 190 + (0.02)(1,300 - 600)
3
4
5
(..
.
19
0
+
+
t=
90
(1
t=
19
0
+
)[1
.
2
t=
.0
2
(0
t=
1
...
(..
.
25% 25% 25% 25%
..
A.
B.
C.
D.
Which expression correctly describes x
divided by the sum of y and 7?
A. x ÷ y + 7
B. _ x__
y+7
C. x/y + 7
D. y + 7
25% 25% 25% 25%
3
4
5
7
y
+
7
x/
y
y
_
x_
_
2
+
7
+
7
+
y
÷
x
1
x
x
1
2
3
4
5
25%
5
25%
5
6
25%
?
6x
8x
6
25%
6x
8x6
6x6
8x5
6x5
A.
B.
C.
D.
8x
Which is equivalent to
2
3
(2x )
The diameter of a barium atom is
0.0000004346 millimeters. In scientific
notation it is —
43.46 x 108 mm
4.346 x 107 mm
4.346 x 107 mm
4346.0 x 107 mm
2
3
4
5
m
m
7
m
m
10
7
.0
46
34
6
x
x
10
7
10
x
34
6
4.
43
1
4.
43
.4
6
x
10
8
m
m
25% 25% 25% 25%
m
m
A.
B.
C.
D.
The length of a rectangular classroom floor is
19 feet less than twice the width. Which
expression represents the area of the
classroom floor?
25% 25% 25% 25%
3
4
5
9
2w
2
-1
9w
-1
6w
2
2w
2
-3
9
-1
3w
1
8
3w - 19
6w - 38
2w2 - 19w
2w2 - 19
A.
B.
C.
D.
2
3
4
5
25%
13
2
25%
77
13
1
25%
23
13.6
23.2
77
132
.6
A.
B.
C.
D.
25%
.2
Which is closest to the value of x if
x = 3√11 + 4√11?
Consider the following models
What polynomial is represented by this diagram?
2
3
4
5
2
+
10
x.
.
-6
2x
4x
4x
2
+
-2
2
4x
-1
2
4x
1
x
-6
- 10x - 6
- 2x - 6
+ 2x - 6
+ 10x + 6
0x
4x2
4x2
4x2
4x2
A.
B.
C.
D.
-6
25% 25% 25% 25%
Enter question text...
25% 25% 25% 25%
3
4
5
3y
4
7x
+
7x
-x
y
4x
4
-x
5y
3
2y
3
+
7x
+
2
5y
-x
y
4x
2
10
10
y3
y3
10
7x
+
2
-x
5y
4
1
y4
4 - x5y2 + 7x10y3
4xy - x5y2 + 7x10y3
4 - x5y3 + 7x10y4
4xy - x2y3 + 7x3y4
A.
B.
C.
D.
If the area of a rectangle can be
represented by x2 - 25, which could
represent its length and width?
x - 5, x - 5
x - 5, x + 5
x2, -25
A.
B.
C.
D.
25% 25% 25% 25%
1
2
3
4
5
5
5,
,25
x2
,x
-5
x
x
-5
,x
+
5
-5
5, 5
Which is the complete factorization
of 2x2 + 5x + 3?
2
3
4
5
1)
(2
x
+
3)
(x
+
1)
+
2)
(x
+
(2
x
+
1)
(x
+
1)
(x
+
x
(2
1
+
2)
3)
1)
1)
x
+
+
+
+
(2
1)(x
1)(x
2)(x
3)(x
2)
+
+
+
+
3)
(2x
(2x
(2x
(2x
A.
B.
C.
D.
25% 25% 25% 25%
1
2
3
4
5
in
.
.4
10
6
5.
in
.
8
4.
in
.
5
3.
in
.
The height of an equilateral triangle can be
determined by evaluating the expression
where n is the length of a side of the
triangle. To the nearest tenth of an inch, what is
the height of an equilateral triangle with sides of
6.5 inches?
25% 25% 25% 25%
A. 3.5 in.
B. 4.8 in.
C. 5.6 in.
D. 10.4 in.
Relations and Functions
Which equation best describes this graph?
25% 25% 25% 25%
4
5
18
+
-5
x
16
x2
=
=
y
3
y
+
x
=
y
2
-2
-x
14
-4
20
=
y
1
x
2
y = 20 - 4x
y = x + 14 - x2
y = 16 - 2x
y = x2 - 5x + 18
x
A.
B.
C.
D.
Which equation is satisfied by all the
points in the table?
x - 4y = 10
4y - x = 10
7y - x = 20
x - 7y = 20
20
=
y
-7
-x
=
20
x
5
7y
4
4y
3
-x
=
y
-4
2
x
1
=
10
25% 25% 25% 25%
10
A.
B.
C.
D.
The ordered pairs in the table follow a
quadratic pattern. What is the value of x?
4
5
25%
25%
3
3
25%
5
2
25%
6
1
10
6
5
3
10
A.
B.
C.
D.
What is the domain of the function
shown?
4
5
gr
ea
rs
um
be
um
be
re
a
ln
ln
re
a
...
ss
...
rs
le
um
be
ln
re
a
{A
ll
3
{A
ll
um
be
ln
re
a
2
{A
ll
1
{A
ll
numbers greater than zero}
numbers}
numbers less than -2}
numbers greater than -2}
...
real
real
real
real
gr
ea
{All
{All
{All
{All
rs
A.
B.
C.
D.
rs
}
25% 25% 25% 25%
What is the apparent range of the
relation shown on the grid?
25% 25% 25% 25%
4
5
}
,3
,4
,2
,3
,4
,2
,4
,1
,2
{ -2
3
{1
2
{ -2
,1
{ -2
1
}
}
{-2, 1, 3}
{-2, 1, 2, 4}
{1, 2, 3, 4}
{-2, 2, 3, 4}
,3
}
A.
B.
C.
D.
Which graph appears to contain all the
points in the table?
B.
A.
25%
25%
4
5
D
3
C
2
B
1
25%
D.
A
C.
25%
1
2
3
4
5
25%
25%
25%
72
25%
4.
5
0.25
4
4.5
72
0.
25
A.
B.
C.
D.
4
If a varies directly as b and a = 3 when
b = 12, what is the value of a when
b = 18?
Which set of ordered pairs is not a
function?
25% 25% 25% 25%
2
3
4
5
{(
-2
,
3)
,(
1,
4)
,(
2,
3
),
(1
,5
2)
}
4)
,(
5,
3)
}
2)
,(
4,
{(
2,
3)
,(
3,
3)
,(
3,
4)
,(
2,
{(
1,
2)
,(
4,
,5
(1
),
2,
1
1)
,(
3)
,(
4,
{(
-2
,
1
)}
{(-2, 3), (4, 1), (2, 1), (1, 5)}
{(1, 4), (2, 3), (3, 2), (4, 3)}
{(2, 3), (3, 2), (4, 4), (5, 2)}
{(-2, 3), (1, 4), (2, 3), (1, 5)}
)}
A.
B.
C.
D.
The stress distribution on a structure is given by
s = 2x2 + 4x - 30 where s is stress in pounds
per square inch and x is the distance in feet
from a reference point. At what distance is the
stress equal to 0?
4
5
ft
ft
ft
25%
12
3
25%
6
2
3
1
25%
5
3 ft
5 ft
6 ft
12 ft
ft
A.
B.
C.
D.
25%
In which table of ordered pairs does
n vary directly as m?
A.
B.
25%
25%
D
5
C
4
B
3
A
2
25%
D.
C.
1
25%
Which is a zero of the function
ƒ(x) = 3x - 21?
1
2
3
4
5
25%
25%
7
25%
0
25%
-7
-21
-7
0
7
-2
1
A.
B.
C.
D.
A lumber yard sells square scraps of plywood with sides
varying from 1 foot to 4 feet. Ed wants to use some of
these pieces to build storage cubes. The relationship
between the length of the side of a cube and the
volume of the cube is expressed by the function
ƒ(x) = x3
where x is the length of a side of the cube. What is the
range of this function in cubic feet for the domain
given?
6}
{1
,1
4}
,6
{1
1
fr
om
s
va
r ie
ge
5
an
4
R
3
an
2
R
1
ge
va
r ie
s
fr
om
1
..
Range varies from 1 to 64
Range varies from 1 to 16
{1, 64}
{1, 16}
..
A.
B.
C.
D.
25% 25% 25% 25%
Statistics
4[B] =?
A.
B.
25%
25%
4
5
D
3
C
2
B
1
25%
D.
A
C.
25%
Alberto made the box-and-whisker graph of the
heights (in inches) of the members of his
basketball team. What is the range of heights of
the team members?
25%
25%
5
in
.
in
.
in
.
2
4
4
3
9
2
16
1
25%
16 in.
9 in.
4 in.
2 in.
in
.
A.
B.
C.
D.
25%
Carol went on a 5-day bicycle trip. She rode 23
miles the first day, 22 miles the second, 21
miles the third, 17 miles the fourth, and 17
miles the fifth day. What was the mean number
of miles per day that Carol rode on her 5-day
bicycle trip?
3
4
5
m
i.
m
i.
m
i.
23
2
21
6
1
20
6 mi.
20 mi.
21 mi.
23 mi.
m
i.
A.
B.
C.
D.
25% 25% 25% 25%
Based on the scatter plot, which x value
would best match y = 12?
4
5
56
3
25% 25%
48
2
25% 25%
4
1
3
4
48
56
3
A.
B.
C.
D.
Which equation best represents the
data shown on the scatterplot?
25% 25% 25% 25%
2
3
4
5
/3
10
x+
3/5
y=
x/2
-3/
5x
y=
1
y=
y=
-3/
5x
–
2
+2
y = -3/5x – 2
y = x/2 + 2
y = -3/5x
y = 3/5x + 10/3
A.
B.
C.
D.