TEST NAME: Practice EOG 2
TEST ID: 175530
GRADE: 08
SUBJECT: Mathematics
TEST CATEGORY: My Classroom
Practice EOG 2
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Student: Class:
Date:
1.
The area of a circle is of the circle?
A.
2.5 in.
B.
5 in.
C.
10 in.
D.
12.5 in.
square inches. What is the length of the radius
2.
Which graph shows a system of equations that has a solution of (4, 1)?
A.
B.
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C.
D.
3.
Mike is about 1.6 meters tall. A rock is about 2.3 × 10–3 meters
tall. About how many times shorter is the rock compared to Mike?
A.
1,400
B.
700
C.
140
D.
70
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4.
Riley uses the equation y = 10x to calculate the amount of money he
earns after working x hours. The table below shows the amount of money
Mandy earns after working different numbers of hours.
Mandy’s Earnings
Hours
Amount
Worked
Earned
9
$81
12
$108
15
$135
Which statement is true?
A.
Riley earns $1 more per hour than Mandy.
B.
Mandy earns $1 more per hour than Riley.
C.
Riley and Mandy earn the same amount per hour.
5.
Line w goes through the points (1, 3) and (–2, –3). Line z goes through
the points (–4, 0) and (2, –2). What is the point of intersection of lines w
and z?
A.
(0, 1)
B.
(0, –1)
C.
(–1, –1)
D.
(–2, –1)
6.
What is the value of p in the equation 2(p – 5) = 2(10 + 2p)?
A.
15
B.
5
C.
–
5
D.
–
15
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7.
Train E and Train G leave a city’s train station at the same time. Train E’s
average speed can be represented by the equation d = 45t, where d is
the distance the train has traveled in miles, and t is the time in hours.
The time and distance Train G has traveled are shown in the table below.
Train G
Time
(hours)
Distance
(miles)
2
70
5
175
7
245
Which train is traveling the fastest and by how much?
A.
Train E is traveling 25 miles per hour faster than Train G.
B.
Train G is traveling 25 miles per hour faster than Train E.
C.
Train E is traveling 10 miles per hour faster than Train G.
D.
Train G is traveling 10 miles per hour faster than Train E.
8.
Jupiter is about 480 million miles from the Sun. How is this distance
written in scientific notation?
A.
4.8 × 106 miles
B.
4.8 × 107 miles
C.
4.8 × 108 miles
9.
An adult red panda weighs about 5.0 × 103 grams. An adult giant panda
weighs about 1.5 × 105 grams. About how many times larger is the giant
panda than the red panda?
A.
2
B.
3
C.
20
D.
30
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10.
Line w is graphed below. Line z will be graphed below. Line z goes
through the points (2, 1) and (4, –5).
What is the point of intersection of lines w and z?
A.
(6, 0)
B.
(3, –2)
C.
(0, –4)
11.
Laura makes an ice cube having a volume of cubic inch. What is the
side length of the ice cube?
A.
B.
in.
in.
C.
in.
D.
in.
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12.
What is the value of ?
A.
B.
C.
D.
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13.
At Stacey’s Produce, the total cost, y, of x pounds of zucchini is
represented by the equation y = 0.8x. At Tim’s Produce, the total cost, y,
of x pounds of zucchini is represented by the graph below. Which statement is true?
A.
Stacey’s Produce charges exactly half of what Tim’s Produce charges
for zucchini.
B.
Stacey’s Produce charges the same for zucchini as Tim’s Produce
charges.
C.
Stacey’s Produce charges more for zucchini than Tim’s Produce
charges.
D.
Stacey’s Produce charges less for zucchini than Tim’s Produce
charges.
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14.
The population of City M is about 3.3 × 105. The population of City N is
about 1.7 × 106. Approximately how many times larger is the population
of City N than the population of City M?
A.
2
B.
5
C.
20
D.
50
15.
Which expression is equivalent to (–3)4 × (–3)2?
A.
(–3)6
B.
(–3)8
C.
(9)8
16.
What is the solution to the equation 2(3x + 1) + 2x = 8x + 1?
A.
1
B.
2
C.
no solution
D.
all real numbers
17.
Which shows the graph of the equation y = –2x + 3?
A.
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B.
C.
18.
What is the value of x in the equation 3x − 1 = 2(x − 3)?
A.
–7
B.
–5
C.
–3
D.
–
2
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19.
A system of equations is shown below.
y = x + 4
x + 2y = 11
What is the solution to the system of equations?
A.
(1, 5)
B.
(4, 8)
C.
(6, 2)
20.
Three consecutive odd integers have a sum of 111. What is the smallest
of the three integers?
A.
33
B.
35
C.
37
D.
39
21. What is the value of y in the following equation?
A.
B.
C.
D.
22.
Which graph below shows the line for the equation y = 2x + 4?
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A.
B.
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C.
D.
23.
What value of x satisfies the equation 3(x + 7) = –18?
A.
–1
B.
–4
C.
–8
D.
– 13
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24.
Jenna charges $25 to babysit one child and $5 for each additional child.
Tyler’s babysitting rates are shown in the table below.
Number of
Children
Cost to
Babysit
2
$36
3
$42
4
$48
How much more does Tyler charge to babysit one child than Jenna
charges to babysit one child?
A.
$4
B.
$5
C.
$6
25.
Which is an equation of the line that passes through the points (–4, –4)
and (4, –8)?
A.
B.
C.
D.
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26.
The table and graph below represent two different functions.
Function 1
x
y
3
– 12
1
–2
0
3
Function 2
What is the difference between the slopes of the two functions?
A.
4
B.
3
C.
2
D.
1
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27.
Which is an equation of the line that passes through the points (–4, –2)
and (4, 2)?
A.
B.
C.
D.
28. Which graph does not represent a function?
A.
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B.
C.
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D.
29.
In which graph is y a nonlinear function of x?
A.
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B.
C.
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D.
30.
Which is a possible value for x, if y is a function of x?
A.
3
B.
0
C.
–2
D.
–9
x y 3
–2
–2
7
0
–2
2
4
x
6
31.
Which equation represents a non­linear function?
A.
y = 3x – 9
B.
y = 7(1.02)x
C.
2x + 5y = 7
D.
x2 + 2x – 3 = x2 + y
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32.
In which table is y a function of x?
A.
x y –3 –14 –5 –16 –3 –19 –4 –15 x y 2 –14 3 –19 –2 –14 –3 –19 x y –2 –10 –2 –11 –2 –12 –2 –13 x y 4 12 –4 –12 5 15 5 12 B.
C.
D.
33.
Which represents a non­linear function?
A.
B.
C.
D.
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34.
In which table is y not a function of x?
A.
x y –1 4 –2 7 –3 12 –4 19 x y –5 11 –2 2 1 –7 5 19 x y –1 1 –1 –1 0 0 4 2 x y –4 13 –2 1 2 1 4 13 B.
C.
D.
35.
Which set of points on the graph represents a linear function?
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A.
B.
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C.
D.
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36.
The graph below shows the distance a school bus is from school.
Which bestdescribes what the bus is doing in the flat parts of the graph?
A.
speeding up
B.
slowing down
C.
sitting still
D.
returning to school
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37.
In which table is y not a function of x?
A.
x y 1 4 2 8 4 16 8 32 B.
x y 1 12 2 12 3 12 4 12 x y 2 4 C.
3 9 4 16 5 25 x y 2 11 2 12 2 13 2 14 D.
38.
Which set of points are linear?
A.
(–1, –2), (0, 6), (1, 2)
B.
(0, –4), (1, –1), (3, 5)
C.
(2, 3), (4, 2), (6, 3)
D.
(1, 1), (4, 16), (6, 36)
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39.
Jennifer rode her bike on a trail near her house. The graph below displays
the distance from her house as she biked. Which statement is true?
A.
Jennifer biked up a steep hill in section 1.
B.
Jennifer biked back to her house in section 3.
C.
Jennifer biked at a constant rate in section 2.
D.
Jennifer biked at the same rate to and from her home.
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40.
The set of data in the table below represents a linear function. x
–2
–
4
–5
y
15
23
27
Which is an equation for this function?
A.
B.
C.
D.
41.
In which table is y a function of x?
A.
x
y
5
6
5
7
5
8
5
9
x
y
3
6
4
6
5
6
6
6
x
y
2
2
3
4
3
8
2
16
B.
C.
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42.
A right triangle has an area of 60 cm2. The base of the triangle is 15 cm
long. What is the length of the hypotenuse of the right triangle?
A.
16 cm
B.
17 cm
C.
18 cm
D.
19 cm
43.
Rectangle EFGH will be rotated 90° clockwise about the origin. What will be the coordinates of the image point G′?
A.
(–2, –6)
B.
(–2, 6)
C.
(6, –2)
D.
(6, 2)
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44.
A 16­ft ladder leans against a house and is 3 ft from the edge of the roof,
as shown in the drawing below.
What is the approximate height of the house, including the roof?
A.
24 ft
B.
26 ft
C.
27 ft
D.
28 ft
45.
Triangle KLM has vertices at K(–2, –3), L(–2, –1), and M(6, –1). What is
the approximate perimeter of triangle KLM?
A.
8 units
B.
16 units
C.
18 units
D.
19 units
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46.
The grid shows Triangle N. The other triangles are possible transformations of Triangle N.
Which statement is true?
A.
Triangle Q is not a transformation of Triangle N because the segment lengths in Triangle Qare not
congruent to the segment lengths in Triangle N.
B.
Triangle T is not a transformation of Triangle N because the angles in Triangle N are not congruent to the
angles in Triangle T.
C.
Triangle U is not a transformation of Triangle N because Triangle U is not in the same quadrant as
Triangle N.
D.
Triangle W is not a transformation of Triangle N because Triangle W is not oriented in the same direction
as Triangle N.
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47.
A 40­foot wire is attached to a pole and runs to the ground as shown
below. The pole is 35 feet tall.
About how far away from the pole is the wire attached to the ground, x?
A.
19 feet
B.
53 feet
C.
75 feet
48.
The legs of a right triangle measure 10 m and 24 m. What is the length
of the third side of the right triangle?
A.
17 m
B.
22 m
C.
26 m
D.
34 m
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49.
The quadrilateral graphed below will be reflected over the x­axis.
What will be the coordinates of the vertices of the image quadrilateral?
A.
(4, –1), (1, –1), (1, 5), (4, –5)
B.
(1, 1), (1, 5), (4, 1), (4, 5)
C.
(–1, 4), (–1, 1), (–5, 1), (–5, 4)
D.
(–4, –1), (–4, –5), (–1, –5), (–1, –1)
50.
The vertices of a triangle are located at (–7, 8), (–6, 7), and (–5, 6). What
will be the coordinates of the vertices after a reflection across the x­axis?
A.
(–7, –8), (–6, –7), (–5, –6)
B.
(7, –8), (6, –7), (5, –6)
C.
(7, 8), (6, 7), (5, 6)
D.
(8, –7), (7, –6), (6, –5)
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51.
In the figure below, what is the measure of ∠x?
A.
80°
B.
90°
C.
100°
D.
110°
52.
A cone has a radius of 4 cm and a height of 9 centimeters. What is the
approximate volume of the cone?
A.
36 cm3
B.
113 cm3
C.
151 cm3
53.
Parallelogram FGHI has vertices at F(–4, 7), G(–6, 4), H(–10, 4), and I(–8,
7). The parallelogram will be rotated 270° counterclockwise about the
origin. What will be the coordinates of G′?
A.
(–4, –6)
B.
(4, 6)
C.
(6, 4)
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54.
Triangle KLM was transformed to triangle K′L′M′.
What type of transformation occurred?
A.
translation
B.
rotation
C.
reflection
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55.
What is the approximate distance between points J and K?
A.
8.4 units
B.
9.4 units
C.
10.4 units
56.
What is the value of x in the figure below?
A.
80
B.
90
C.
100
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57.
A triangle was translated 2 units to the right resulting in the image
triangle graphed below.
What were the coordinates of the pre­image triangle?
A.
(3, 1), (3, –3), (6, –3)
B.
(3, –3), (3, –7), (6, –7)
C.
(1, –1), (1, –5), (4, –5)
D.
(5, –1), (5, –5), (8, –5)
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58. Line r is parallel to line s.
What is the measure of A.
115°
B.
120°
C.
125°
D.
175°
59.
In the figure below, lines j and k are parallel.
What is the measure of ∠x?
A.
24°
B.
33°
C.
57°
D.
66°
Practice EOG 2
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60.
Amy’s television screen is in the shape of a rectangle. The height of the
television screen is 24 inches and the width is 55 inches. What is the
approximate diagonal measurement of the television screen?
A.
50 inches
B.
60 inches
C.
79 inches
61.
Rectangle PQRS will be rotated counterclockwise 270° about the origin.
What will be the coordinates of the image point Q′?
A.
(–9, –7)
B.
(–7, 9) C.
(7, –9)
D.
(9, –7)
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62.
Which expression represents a number greater than 4?
A.
B.
C.
D.
63.
What is the approximate value of A.
10
B.
14
C.
49
?
64.
Which set of numbers contains only whole numbers?
A.
{–3, –2, –1}
B.
{0, 2, 4}
C.
{1.5, 2.5, 3.5}
65.
What is the approximate length of the diagonal of the rectangle below?
A.
10 cm
B.
11 cm
C.
14 cm
D.
53 cm
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66.
On the number line below, which point is located at approximately –
A.
K
B.
L
C.
O
D.
P
?
67.
Which number below is greater than 9 but less than 10?
A.
B.
C.
D.
68.
Which set of numbers below contains only natural numbers?
A.
B.
C.
D.
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69.
Which number below is an example of a natural number?
A.
B.
C.
D.
70.
Which fraction is equivalent to A.
B.
?
C.
D.
71.
Which fraction is equivalent to ?
A.
B.
C.
D.
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72.
Which point is located at approximately A.
Point J
B.
Point K
C.
Point L
on the number line below?
73. A play director collected data for each performance of a play. Then she created a scatter plot and a line of best fit
to show how the number of tickets sold and total admission fees per performance related graphically.
Which statement best explains why the line of best fit is or is not appropriate for this data?
A.
It is, since the y­intercept of the line goes through 0.
B.
It is, since it passes through some of the data points.
C.
It is not, since the line does not pass through all of the data points.
D.
It is not, since the data points are not balanced on both sides of the line.
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74.
Three hundred students were surveyed to determine what they do after
school. The results of the survey are shown in the table.
Video Sports Reading Games Males 67
51
31
Females 47
53
51
Based on the table, which statement is true?
A.
More males than females play sports after school.
B.
More females than males play video games after school.
C.
More than twice as many females as males read after school.
D.
More than twice as many males play video games after school than
read.
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75.
The graph below shows the amount of money remaining, y, after
purchasing x items.
Using a linear model, which equation best fits the data?
A.
y = –3x + 51
B.
y = –3x + 45
C.
y = –5x + 45
D.
y = –5x + 51
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