Transcript 2002 Algebra I Released Test

1. Which property justifies the following
statement? If 3a + 3b = 12 then 3(a+b) = 12
1. Commutative
property of
multiplication
2. Distribution property
for multiplication
over addition
3. Multiplicative identity
property
4. Associative property
of addition
id
e
e
A
ss
oc
ia
..
rt
y
tiv
e
pr
op
e
nt
ity
...
at
iv
ul
tip
lic
M
is
t
rib
u
tio
n
pr
op
e
rty
er
t..
.
pr
op
iv
e
D
om
m
ut
at
C
...
25% 25% 25% 25%
2. 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?
1. 4 inches
2. 8 inches
3. 16
inches
4. 192
inches
he
s
he
s
19
2
in
c
in
c
16
he
s
in
c
8
4
in
c
he
s
25% 25% 25% 25%
3. The graph of y = -3/4x + 1 is shown. If the line in the
graph is shifted up 2 unites, which is the equation of the
new line?
Y = 3/4x + 3
Y = 3/4x + 2
Y = -3/4x + 2
Y = -3/4x + 3
3
Y
=
-3
/4
x
+
Y
=
-3
/4
x
+
2
2
+
3/
4x
=
Y
=
3/
4x
+
3
25% 25% 25% 25%
Y
1.
2.
3.
4.
4. What is the solution to 12 – 1/9d = 17?
2
3
4
5
-5
-3
/9
25%
=
=
-4
=
d
-2
=
d
1
25%
d
25%
5
25%
d
d = -243
d = -45
d = -3
d = -5/9
43
1.
2.
3.
4.
5. Which statement is always true?
1. 4 + a = 4 x a
2. a + (-4 + 4) =
a+0
3. a ÷ 4 = 4 ÷ a
4. 4 – a = a - 4
a
+
(-4
+
1
2
3
4
5
-4
a
a
÷
=
4
a
–
4
4
÷
a
4
4)
+
=
a
=
=
4
a
x
+
a
0
25% 25% 25% 25%
6. Which is the graph of a line that appears
to have a slope of 3 and y-intercept -2?
2
3
4
5
G
ra
p
h
4
25%
h
ra
p
h
G
ra
p
h
ra
p
G
1
25%
3
25%
2
25%
G
Graph 1
Graph 2
Graph 3
Graph 4
1
1.
2.
3.
4.
7. What is the slope of the line that
contains points (2,1) and (2,-4)?
Undefined
0
-1/4
-4
2
3
4
5
-4
/4
-1
ef
in
nd
U
1
0
25% 25% 25% 25%
ed
1.
2.
3.
4.
8. Which best represents the
equation of the line shown?
Y = 2x + 1
Y = 2x – 1
Y = -2x + 1
Y = -2x -1
2
3
4
5
-1
Y
=
-2
x
Y
=
-2
2x
=
Y
x
+
1
–
+
2x
=
Y
1
1
25% 25% 25% 25%
1
1.
2.
3.
4.
9. What is the slope of the line represented
by the equation -2xy = x -1?
1
2
3
4
5
25%
2
25%
½
25%
/2
25%
-1
-2
-1/2
½
2
-2
1.
2.
3.
4.
10. Which line on the grid appears
to have slope 2/3?
1
2
3
4
5
25%
25%
D
25%
C
25%
B
A
B
C
D
A
1.
2.
3.
4.
11. An equation for the line shown
could be ---
2
3
4
5
+
=
x
–
x
y
1
25%
1
-x
=
y
=
y
25%
1
25%
y
25%
=
y=x
y = -x
y=x–1
y=x+1
x
1.
2.
3.
4.
12. What is the solution to this
system of equations?
X = 2, y = 2
X = 2, y = 3
X = 2, y = -1
X = 6, y = -2
1
2
3
4
5
-2
y
X
=
2,
=
X
6,
y
=
-1
=
=
y
2,
=
X
X
=
2,
y
=
3
25% 25% 25% 25%
2
1.
2.
3.
4.
13. 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 it s dimensions?
4 ft. by 8 ft.
5 ft. by 7 ft.
7 ft by 9 ft.
15 ft by 17 ft.
2
3
4
5
ft.
ft
by
15
7
ft
b
y
17
9
ft.
7
5
ft.
b
y
8
y
ft.
b
4
1
ft.
25% 25% 25% 25%
ft.
1.
2.
3.
4.
14. Which is most likely the solution to the
system of equations shown in the graph?
2
3
4
5
,0
)
25%
(1
,4
)
25%
(3
(4
1
25%
,0
)
25%
(-2
(4,3)
(-2,0)
(3,4)
(1,0)
,3
)
1.
2.
3.
4.
15. Which is an equation for the line that
contains the points (-3,5) and (1, -3)?
y = -x + 2
y = -2x – 1
y = -1/2 x – 3/2
y = 3/2x – 9/2
4
5
2
x
3/
2
=
y
=
3
y
2
–
–
-1
/2
x
-2
x
=
y
1
9/
1
–
+
-x
=
y
3/
2
25% 25% 25% 25%
2
1.
2.
3.
4.
2
3
4
5
25%
25%
25%
2
25%
-1
1
-4
-2
-1
2
-4
1.
2.
3.
4.
-2
16. Which is a solution to (2x + 3)2 = 25?
17. The dimensions of a rectangle are
shown in the drawing below. If the area is 28
square units, what is the value of d?
3
4
5
un
i
un
i
ts
25%
ts
25%
14
2
7
2
1
25%
un
its
25%
12
2 units
7 units
12 units
14 units
un
its
1.
2.
3.
4.
18. What is the solution to 2x + x > x – 5?
3
4
5
>
>
-2
25%
x
-2
/3
25%
>
x
>
2
x
1
25%
-8
25%
x
x > -8/3
x > -8
x > -2/3
x > -2
-8
/3
1.
2.
3.
4.
1
2
3
4
5
25%
25%
25%
-1
0
25%
-4
2
-2
-4
-10
2
1.
2.
3.
4.
-2
19. What is the value of a (b - c) if a = 2?
20. 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?
2
3
4
5
)(1
,3
0
0
0)
(0
.
60
(0
.0
2
+
0
+
0
19
t=
–.
..
00
)
)(6
(1
9
t=
t=
19
0
+
+
[1
.9
0
02
)
(0
.
t=
1
(0
.0
2
(1
,3
00
..
1. t = (0.02)[1.90 +
(1,300 – 600)]
2. t = 190 +
(0.02)(600)
3. t = (190 +
600)(0.02)
4. t = 190 +
(0.02)(1,300 – 600)
02
)
25% 25% 25% 25%
21. Which expression correctly describes x
divided by the sum of y and 7?
2
3
4
5
/x
25%
7
7)
+
(y
7)
x/
(y
+
+
y
÷
X
1
25%
+
25%
y
25%
x/
X÷ y+7
x/(y + 7)
x/y + 7
(y + 7) /x
7
1.
2.
3.
4.
22. Which is equivalent to (2x 2)3 ?
1
2
3
4
5
5
25%
6x
25%
5
6
25%
8x
8x
6
25%
6x
8x6
6x6
8x5
6x 5
1.
2.
3.
4.
2
3
4
5
m
m
-7
-7
10
10
x
x
46
.0
6
34
34
6
4.
43
1
4.
43
.4
6
x
x
10
10
7
-8
m
m
m
m
1.
2.
3.
4.
m
m
23. The diameter of a barium atom is
0.0000004346 millimeters. In scientific
notation it is --43.46 x 10-8 mm
25% 25% 25% 25%
4.346 x 107 mm
4.346 x 10-7 mm
4346.0 x 10-7 mm
24. The length of a rectangular classroom floor is 19 feet
less than twice the width. Which expression represents the
area of the classroom floor?
3w – 19
6w – 38
2w2 – 19w
2w2 - 19
3
4
5
9
-1
w
2w
2
19
2
–
–
2w
2
6w
–
3w
1
38
25% 25% 25% 25%
19
1.
2.
3.
4.
2
3
4
5
25%
2
25%
13
13
1
25%
77
25%
23
13.6
23.2
77
132
.6
1.
2.
3.
4.
.2
25. Which is closest to the value of
x if x = 3√11 + 4 √11?
26. Consider the following:
What polynomial is represented
by this diagram?
4x2 – 10x - 6
4x2 – 2x – 6
4x2 + 2x – 6
4x2 + 10x + 6
+
6
+
2
4x
4x
2
+
10
2x
x
–
6
–
–
2
4x
5
2x
x
10
4
–
3
2
2
4x
1
6
25% 25% 25% 25%
-6
1.
2.
3.
4.
27. 12x5y – 3x10y3 + 21x15y4 is equivalent to
3x5y
1. 4 – x5y2 + 7x10y3
2. 4xy – x5y2 +
7x10y3
3. 4 – x5y3 + 7x10y4
4. 4xy – x2y3 + 7x3y4
1
2
3
4
5
y4
4
7x
3
10
y
+
7x
y3
+
4x
y
–
x2
y3
x5
–
4
–
y
4x
4
–
x5
x5
y2
y2
+
+
7x
7x
1
10
y
0y
3
3
25% 25% 25% 25%
1
2
3
4
5
5
25%
5,
,25
X2
x
5,
–
X
X
–
5,
x
–
+
5
1.
2.
3.
4.
5
28. If the area of a rectangle can be
represented by x2 – 25, which could
represent its length and width?
X – 5, x – 5
25% 25% 25%
X – 5, x + 5
X2, -25
5, 5
29. Which is the complete
factorization of 2x2 + 5x + 3?
(2x + 1)(x + 2)
(2x + 1)(x + 3)
(2x + 2)(x + 1)
(2x + 3)(x + 1)
1
2
3
4
5
1)
(2
x
+
3)
(x
+
1)
+
(2
x
+
2)
(x
+
1)
(x
+
x
(2
(2
x
+
1)
(x
+
3)
25% 25% 25% 25%
2)
1.
2.
3.
4.
30. The height of an equilateral triangle can be determined by
evaluating the expressions (n√3)/2 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?
1
2
3
4
5
25%
in
.
25%
8
6
4.
5.
.4
5
3.
10
25%
in
.
25%
in
.
3.5 in.
4.8 in.
5.6 in.
10.4 in.
in
.
1.
2.
3.
4.
31. Which equation best describes this graph?
y = 20 – 4x
y = x + 14 – x2
y = 16 – 2x
y = x2 – 5x + 18
4
5
18
+
5x
–
16
x2
=
=
y
3
y
+
x
=
y
2
–
–
14
–
20
=
y
1
2x
x2
25% 25% 25% 25%
4x
1.
2.
3.
4.
32. Which equation is satisfied by
all the points in the table?
X – 4y + 10
4y – x + 10
7y – x + 20
X – 7y + 20
2
3
4
5
+
20
–
X
7y
–
x
7y
+
10
4y
–
x
+
+
4y
–
X
1
20
25% 25% 25% 25%
10
1.
2.
3.
4.
33. The ordered pairs in the table follow a
quadratic pattern. What is the value of x?
1
2
3
4
5
25%
3
25%
5
25%
6
25%
10
6
5
3
10
1.
2.
3.
4.
34. What is the domain of the function shown?
{All real numbers
greater than zero}
{All real numbers}
{All real numbers
less than -2}
{All real numbers
greater than -2}
2
3
4
5
gr
ea
rs
um
be
re
a
ln
ln
re
a
t..
ss
...
le
rs
um
be
ln
{A
ll
re
a
{A
ll
1
{A
ll
re
a
ln
um
be
rs
um
be
gr
ea
...
4.
{A
ll
2.
3.
25% 25% 25% 25%
rs
}
1.
35. What is the apparent range of the relation shown on
the grid?
3,
4}
25%
{2,
2,
,2
,3
,
{1
{2,
1,
25%
4}
25%
2,
4}
25%
3}
{-2,1,3}
{-2,1,2,4}
{1,2,3,4}
{-2,2,3,4}
{2,
1,
1.
2.
3.
4.
36. Which graph appears to contain all the points
X
1
4
3
in the table?
1
2
3
4
5
25%
0
25%
25%
J
25%
-2
H
F
G
H
J
F
1.
2.
3.
4.
4
G
Y
2
3
4
5
25%
25%
25%
72
25%
4.
5
1
0.25
4
4.5
72
0.
25
1.
2.
3.
4.
4
37. If a varies directly as b and a + 3 when
b = 12 what is the value of a when b + 18?
38. Which set of ordered pairs is not a function?
{(-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)}
(1
,5
)}
3)
,
}
),
(2
,
3)
,(1
,4
4)
,(
5,
2)
2)
,(
4,
3)
,(
,(
3,
2)
,(
4,
{(
-2
,
5
{(
2,
3)
4
2,
3)
,(
3,
2,
1)
,(
1,
,(
3
{(
1,
4)
3)
,(
4,
1)
2
{(
-2
,
1
}
25% 25% 25% 25%
5)
}
1.
2.
3.
4.
39.
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?
2
3
4
5
ft.
25%
12
ft.
25%
6
3
1
25%
ft.
25%
5
3 ft.
5 ft.
6 ft.
12 ft.
ft.
1.
2.
3.
4.
40. In which table of ordered pairs
does n vary directly as m?
25%
25%
J
25%
H
25%
G
F
G
H
J
F
1.
2.
3.
4.
41. Which is a zero of the function
f(x) = 3x – 21?
1
2
3
4
5
25%
25%
7
25%
0
25%
-7
-21
-7
0
7
-2
1
1.
2.
3.
4.
42. A lumber yard sells square scraps of plywood with sides varying from
1 ft to 4 ft. Ed wants to use some of these relationship between the length
of the side of a cube and the volume of the cube is expressed by the
function. f(x) = x2 where x is the length of a side of the cube. What is the
range of this function in cubic feel for the domain given?
Range varies from
1 to 64
Range varies from
1 to 16
{1,64}
{1,16}
va
r ie
ge
an
2
3
4
5
R
an
ge
R
1
s
va
r ie
}
,1
6
}
{1
fr
om
s
...
fr
om
3.
4.
,6
4
2.
25% 25% 25% 25%
{1
1.
43. [B] = { 2 0 5 }
{ -3 1 -2 }
1
2
3
4
5
25%
25%
25%
D
25%
C
A
B
C
D
A
1.
2.
3.
4.
4{B} = ?
B
{ 4 -1 -2 }
44.
Matrix A shows the cost per pound of apples and oranges at three
different markets during the first week of September. Which matrix
3
4
5
25%
25%
J
2
25%
H
1
25%
F
G
H
J
F
1.
2.
3.
4.
B-A?
G
correctly shows the difference in prices,
45. [G] + [H] =?
1
2
3
4
5
25%
25%
D
25%
C
25%
B
A
B
C
D
A
1.
2.
3.
4.
46 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%
2
3
4
5
25%
in
.
2
in
.
4
in
.
9
16
1
25%
16 in.
9 in.
4 in.
2 in.
in
.
1.
2.
3.
4.
25%
47. 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 the
fifth day. What was the mean number of miles per day that Carol rode
on her 5-day bicycle trip?
3
4
5
25%
m
i.
m
i.
25%
23
2
20
6
1
25%
m
i.
25%
21
6 mi.
20 mi.
21 mi.
23 mi.
m
i.
1.
2.
3.
4.
48. Researcher testing a new high blood pressure medication
measured the initial blood pressure data of 15 patients before testing
the drug. Which box-and-whisker graph best represents the stem-andleaf plot?
4
5
25%
25%
J
3
25%
H
2
25%
G
1
F
G
H
J
F
1.
2.
3.
4.
1
2
3
4
5
25%
25%
25%
56
25%
48
3
4
48
56
3
1.
2.
3.
4.
4
49. Based on the scatter ploy, which x value
would best match y = 12?
50. Which equation best represents the data shown on the scatter
plot?
Y = -3/5 x 2
Y = x/2 + 2
Y = -3/5x
Y = 3/5x +
10/3
3
4
5
3
10
/
+
5x
=
3/
x/
=
=
Y
Y
2
-3
+
2
x
/5
-3
=
Y
1
/5
x
2
-2
2.
3.
4.
25% 25% 25% 25%
Y
1.