MATHEMATICS
DIRECTIONS: Read the question and choose the best answer.
1
Look at this number line.
Which point best represents
3
𝝅
𝟐
?
A Point A
B Point B
C Point C
D Point D
DOK 2
2
Two bronze bells are struck at the same
time. The sound level of Bell 1 starts at 75
decibels, and it decreases by 10 decibels
every 2 seconds. The sound level of Bell 2
changes according to the equation
y =−5t + 75, where t = time in seconds and
y = sound level in decibels. Which statement
best compares the sound levels of the two
bells?
A Their initial sound levels are equal, and
they are decreasing at the same rate.
B Their initial sound levels are equal, but the
sound level of Bell 1 is decreasing faster.
8..NS.2
C The initial sound level is greater for Bell 1,
but they are decreasing at the same rate.
Look at this graph.
D The initial sound level is greater for Bell 1,
and the sound level of Bell 1 is decreasing
faster.
DOK 2
8.F.2
Which of these is the equation of the
graph?
1
2
A𝑦 = 𝑥−2
B y = 2x + 2
1
2
C𝑦 = 𝑥+2
D y = 2x – 2
DOK 1
LPS 8th Grade Math Pre-test
8. F.3
1
Go On
MATHEMATICS
DIRECTIONS: Read the question and choose the best answer.
4
5
The design for part of a fish hatchery is
shown on this coordinate grid.
A microbiologist measured two bacteria.
Bacterium X measured 5.0 × 10−7 meters
in length, and bacterium Y measured
2.0 × 10−5 meters in length. Which
statement correctly compares these two
bacteria?
A Bacterium X is 25 times as long as
bacterium Y.
B Bacterium Y is 40 times as long as
bacterium X.
C Bacterium X is 250 times as long as
bacterium Y.
D Bacterium Y is 400 times as long as
bacterium X.
DOK 2
The design will be translated 3 units down.
Which statement is true about the effect of
this translation?
6
Evaluate the expression
.
A8
B 21
C4
D 32
A Point Q will stay in quadrant II.
B The length of PQ will increase.
C Points Q, R, and S will still lie on a
straight line.
DOK 2
D The area of PQRU will be equal to the
area of RSTU.
DOK 2
8.EE.3
7
8.EE.2
Which is a non-linear function?
𝟐
𝟑
A 𝒚 − = −𝟑(𝒙 + 𝟓)
8.G.1.a
B 𝒚 = 𝟐(𝒙 + 𝟑)
C 𝒚 = 𝒙𝟐 + 𝟒
D 𝒚 − 𝟔 = 𝟑𝒙 + 𝟖
DOK 2
LPS 8th Grade Math Pre-test
2
8.F.3
Go On
MATHEMATICS
DIRECTIONS: Read the question and choose the best answer.
8
9
A computer artist is designing a plastic
part to be used in the manufacture of
refrigerators. This coordinate plane shows
the part as represented by polygon QRST.
The speed of light in a vacuum is defined to
be exactly 299,792,458 meters per second.
Which of these correctly converts the
number using scientific notation?
A 2.9979 x 107
B 2.9979 x 108
C 2.9979 x 109
D 2.9979 x 1010
DOK 2
8.EE.3
The artist will rotate polygon QRST 90° in
a clockwise direction about the origin to
form polygon Q'R'S'T'. After the
transformation, which angle will have a
measure of 90°?
A ∠ Q’R’S’
B ∠ R’S’T’
C ∠ S’T’Q’
D ∠ T’Q’R’
DOK 2
LPS 8th Grade Math Pre-test
8.G.1.b
3
Go On
MATHEMATICS
DIRECTIONS: Read the question and choose the best answer.
10
11
Look at this graphed square.
The Drama Club charges a different price for
cars than SUVs at a fundraising car wash.
The table shows the numbers of vehicles the
club washes.
How much does the Drama Club charge to
wash a car?
A $8.00
If the square is reflected over the x-axis, how
does the point (2, 3) compare to its reflected
point?
B $7.00
A Both the x-coordinate and the ycoordinate stay the same.
D $6.00
C $4.00
DOK 3
B The y-coordinate shifts 4 units down and
the x-coordinate stays the same.
12
C The x-coordinate stays the same and the
y-coordinate changes from positive to
negative.
8.EE.8.b
Look at these numbers.
Which of these shows the numbers in order
from least to greatest?
D The x-coordinate changes from positive to
negative and the y-coordinate stays the
same.
A − 4 , − 3 , 2.6, 2 2
DOK 3
B − 3 , − 4 , 2 2 , 2.6
1
8.G.3
1
1
1
1
1
1
1
C − 3 , − 4 , 2.6, 2 2
D − 4 , − 3 , 2 2, 2.6
DOK 2
LPS 8th Grade Math Pre-test
4
8.NS.2
Go On
MATHEMATICS
DIRECTIONS: Read the question and choose the best answer.
13
14
Serena drew a figure on this coordinate
plane as part of a science project, where
ΔQRS is similar to ΔPRT.
Which statement can William use to
correctly compare the slopes of the two
functions?
Which proportion shows that QR and PR
have the same slope?
A
B
C
D
𝑅𝑆
𝑄𝑆
𝑅𝑆
𝑄𝑆
𝑄𝑅
𝑄𝑆
𝑄𝑅
𝑄𝑆
=
=
=
=
William wants to compare the slopes of two
linear functions. He displays one function in
a table and the other in a graph.
A Function 1 has a greater slope because
𝑅𝑇
𝑃𝑇
𝑃𝑇
B Function 1 has a greater slope because
𝑅𝑇
𝑃𝑅
𝑃𝑇
C Function 2 has a greater slope because
𝑃𝑇
𝑃𝑅
DOK 2
D Function 2 has a greater slope because
8.EE.5/8.EE.6
DOK 2
LPS 8th Grade Math Pre-test
5
8.F.2
Go On
MATHEMATICS
DIRECTIONS: Read the question and choose the best answer.
15
Maria's math teacher drew this diagram on
the chalkboard. In the diagram, PS is
parallel to the x-axis and RS is parallel to the
y-axis.
Maria will rotate PQRS 90° clockwise about
the origin to produce P'Q'R'S'. Which
statement will be true after this rotation?
A P’S’ will be parallel to the x-axis.
B The lengths of PQ and P’Q’ will be equal.
C Points S and S' will have the same
coordinates.
D The length of R’S’ will be twice as long as
the length of RS.
DOK 2
LPS 8th Grade Math Pre-test
8.G.1.a
6
Go On
MATHEMATICS
DIRECTIONS: Read the question and choose the best answer.
16
This scatter plot shows the relationship between the average monthly rainfall in a city and the monthly
cost for the city to maintain the sports fields in a park.
Which graph shows the line of best fit for the scatter plot?
A
C
B
D
DOK 1
LPS 8th Grade Math Pre-test
8.SP.2
7
Go On
MATHEMATICS
DIRECTIONS: Read the question and choose the best answer.
17
19
Look at this scatter plot.
The area of an isosceles right triangle with
1
base b is given by the function = 2 𝑏 2 .
Which statement best explains why this is
not a linear function?
A The graph contains the points (−4, 8) and
(4, 8), which lie on a horizontal line.
B The graph contains negative values for
the base of the triangle, which are not
allowed.
C The graph contains the points (0, 0),
(2, 2), and (4, 8), which do not lie on a
straight line.
Which equation best represents the line of
best fit for the data?
D The graph is not a straight line because
the equation of a straight line is multiplied by
a fraction.
1
4
A 𝑦 = 𝑥 + 25
1
B 𝑦 = − 4 𝑥 + 25
DOK 3
8.F.3
1
C 𝑦 = − 10 𝑥 + 15
1
D 𝑦 = 10 𝑥 + 15
DOK 2
18
8.SP.3
A guitar amplifier is shaped like a cube with
a volume of 64 cubic decimeters. This
equation can be solved for x, the length in
decimeters of each edge of the amplifier.
x3 = 64
What is the solution to the equation?
Ax=4
Bx=8
C x = 4, x = −4
D x = 8, x = −8
DOK 2
LPS 8th Grade Math Pre-test
8.EE.2
8
Go On
MATHEMATICS
DIRECTIONS: Read the question and choose the best answer.
20
Which graph shows the solution to this system of equations?
4x – 2y = 0
8x – 2y = 4
A
C
B
D
DOK 2
LPS 8th Grade Math Pre-test
8.EE.8.b
9
Go On
MATHEMATICS
DIRECTIONS: Read the question and choose the best answer.
21
22
The graph shows the amount of money an
employee earns over an 8-hour period.
Which relation is a function?
A The total value, y, of x dimes.
B {(−2, 8), (−2, 4), (−1, 0), (2, −4)}
C
D
What does the slope of the graph represent?
A The employee earns $8 per hour.
B The employee earns $10 per hour.
C The employee earns $15 per hour.
D The employee earns $20 per hour.
DOK 2
LPS 8th Grade Math Pre-test
8.EE.5
DOK 2
10
8.F.1
Go On
MATHEMATICS
DIRECTIONS: Read the question and choose the best answer.
23
25
Derek is solving this equation for his
mathematics homework.
3x + 8 – 7x = – 4(x – 2)
Which is a true statement about the equation
Derek is solving?
A The equation simplifies to 8 = 8, so it has
no solution.
Which equation is modeled by this table?
A 𝑦 = −8𝑥 − 8
B The equation simplifies to 8 = – 8, so it
has no solution.
B 𝑦 = −8𝑥 − 2
C The equation simplifies to 8 = 8, so it has
infinitely many solutions.
C 𝑦 = −4𝑥 − 8
D 𝑦 = −4𝑥 − 2
DOK 2
D The equation simplifies to 8 = – 8, so it
has infinitely many solutions.
8.F.4
DOK 3
24
8.EE.7.b
Which statement describes the graph?
A The graph is linear and always increasing.
B The graph is linear and always
decreasing.
C The graph is nonlinear and always
increasing.
D The graph is nonlinear and always
decreasing.
DOK 1
LPS 8th Grade Math Pre-test
8.F.5
11
Go On
MATHEMATICS
DIRECTIONS: Read the question and choose the best answer.
26
27
Mel is comparing the costs per kilowatt-hour
of electricity for two different companies.
Transit Electricity uses the equation
y = 0.15x to calculate y, the cost for their
electricity based on x kilowatt-hours used.
Maximum Electricity uses this graph to
describe the cost for their electricity.
Mr. Ferrill drew trapezoid JLMO and KN on a
coordinate plane to help his students derive
the slope-intercept equation.
Which proportion shows that the slope of JL
is the same between any two points?
Based on the information, which statement
is a valid conclusion about the electric
costs?
A
A Maximum Electricity charges 7 cents for
500 kilowatt-hours used.
B
B Mel will use less electricity if he purchases
kilowatt-hours from Transit Electricity.
C
C The cost per kilowatt-hour for Maximum
Electricity is less than the cost per kilowatthour for Transit Electricity.
D
D The costs for the same number of
kilowatt-hours used are equal for both
Transit Electricity and Maximum Electricity.
DOK 3
LPS 8th Grade Math Pre-test
3−0
6−4
6−4
3−0
3−0
6−4
6−4
3−0
DOK 3
=
=
=
=
10−4
9−0
9−0
10−4
9−0
10−4
10−4
9−0
8.EE.6
8.EE.5/8.EE.6
12
Go On
MATHEMATICS
DIRECTIONS: Read the question and choose the best answer.
28
Donald left his grandmother's house and drove his car home, a distance of 225 miles. He drove at a
constant rate of 60 miles per hour. Which graph best represents the distance Donald was from
home, based on the amount of time he had been driving?
A
C
B
D
DOK 2
LPS 8th Grade Math Pre-test
8.F.5
13
Go On
MATHEMATICS
DIRECTIONS: Read the question and choose the best answer.
29
Look at this scatter plot of plant heights.
30
Which scatter plot best represents the
relationship between the thickness of the
brake pads on a bicycle and the amount of
use the brake pads receive?
A
B
Which best describes the relationship
between the height and age of the plants?
A As age increases, height increases.
B As age decreases, height increases.
C As age increases, height remains the
same.
C
D As age decreases, height remains the
same.
DOK 2
8.SP.1
D
DOK 1
LPS 8th Grade Math Pre-test
14
8.SP.1
Go On
MATHEMATICS
DIRECTIONS: Read the question and choose the best answer.
31
33
These equations are graphed on the
coordinate grid.
4x + 2y = 8
3x + 3y = 9
Thomas conducted a survey in his
classroom to find out if the students were
left- or right-handed. The repeating decimal
0.83 represents the proportion of the
students in his classroom who are lefthanded. Which fraction is equivalent to the
decimal number 0.83?
A
B
C
D
8
3
3
8
5
6
6
5
DOK 2
Using the graphed equations, what is the
solution to this system of equations?
34
A (0, 3)
B (1, 2)
C (1, –2)
D (0, 4)
DOK 2
8.NS.1
A baseball player hit the ball 6 times in his
first 9 times at bat. The first step in
determining his batting average is to convert
the fraction
6
9
to a decimal number. Which
6
decimal number equals the fraction ?
9
A 0.6
8.EE.8.a/8.EE.8.b
B 0.69
32
What value of t makes this equation true?
C 0.6
6–t=3
D 0.69
A t = –9
Bt=3
C t = –3
Dt=9
DOK 2
LPS 8th Grade Math Pre-test
DOK 2
8.NS.1
8.EE.7.a
15
Go On
MATHEMATICS
DIRECTIONS: Read the question and choose the best answer.
35
36
The line in this graph shows the relationship
between the number of fluid ounces for a
certain type of soda and the grams of sugar
in the soda. For example, 24 ounces of soda
has 80 grams of sugar.
This diagram shows the side view of a
section of a highway being built through a
mountain pass. The highway is represented
by line L, which passes through points Q, R,
and S.
In the diagram, ΔRQU is similar to ΔSQT.
Which proportion shows that the slope of QR
is the same as the slope of QS?
Which statement about the slope of the line
in the graph is correct?
A
A It represents the unit rate of grams of
sugar per ounce of soda.
B It represents the unit rate of ounces of
soda per gram of sugar.
B
C It represents the number of grams of
sugar in 24 ounces of soda.
C
D It represents the number of ounces that
contain 80 grams of sugar.
DOK 3
D
8.EE.5/8.EE.6
3000
1500
750
10
3000
750
DOK 3
LPS 8th Grade Math Pre-test
16
=
1500
10
=
20
2250
30
=
=
40
20
40
30
2250
8.EE.6
Go On
MATHEMATICS
DIRECTIONS: Read the question and choose the best answer.
37
In a catalog, Kealie found 2 different plans
for purchasing seeds. This graph shows the
relationship between the number of packets
of seeds and the total cost for each of the
two purchase plans.
38
A computer programmer was evaluating 4
tables of data. He found one table that
contained pairs of related numbers (x, y) that
do not form a function. Which of these
tables did he identify?
A
B
C
For what number of seed packets are the
total costs of the two plans approximately
the same?
D
A 2.5
B 4.3
C 5.5
D 9.8
DOK 2
LPS 8th Grade Math Pre-test
DOK 2
8.F.1
8.EE.8.a/8.EE.8.b
17
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MATHEMATICS
DIRECTIONS: Read the question and choose the best answer.
39
40
Which table of values does not represent a
function?
D
Look at this graph.
Which of these describes the
relationship shown in the graph?
A The depth remains constant over time.
B The depth decreases at a constant
rate.
C The rate of change of the depth
increases over time.
DOK 2
D The rate of change of the depth
decreases over time.
8.F.1
DOK 2
LPS 8th Grade Math Pre-test
18
8.F.5
Go On
MATHEMATICS
DIRECTIONS: Read the question and choose the best answer.
41
43
Yvonne uses this equation to find out how
many roses, r, she needs for some gift
baskets.
Ronaldo is comparing the membership costs
of two model airplane clubs using this
information.
High Flyers
C = 20 + 10n, where n = number of months,
C = cost in dollars, and 20 = a one-time fee
in dollars
Which is the best first step for Yvonne to
solve for r?
A add 3 to both sides of the equation
B divide both sides of the equation by 5
C multiply both sides of the equation by 3
D subtract 5 from both sides of the equation
DOK 2
42
8.EE.7.b
Malachi's teacher challenged his class to
simplify this expression.
Which statement best compares the costs of
the two clubs?
Malachi was the first student to simplify the
expression correctly. What was his answer?
A
B
A High Flyers has a lower initial cost and a
lower cost per month.
1
5
B High Flyers has a lower initial cost and a
higher cost per month.
1
25
C Pete's Pilots has a lower initial cost and a
lower cost per month.
C 25
D5
DOK 2
D Pete's Pilots has a lower initial cost and a
higher cost per month.
8.EE.1
DOK 3
LPS 8th Grade Math Pre-test
19
8.F.2
Go On
MATHEMATICS
DIRECTIONS: Read the question and choose the best answer.
44
45
This scatter plot shows the production cost
and total ticket sales for 18 movies produced
by a large film company. The line of best fit
is shown on the scatter plot.
Which of these equations describes the
relationship between t, time in minutes, and
F, the water temperature in degrees
Fahrenheit?
The president of the film company wants to
change the scatter plot, so it will show a
stronger positive correlation between
production cost and total ticket sales. Which
of these changes would have that effect?
A F = 4t
B F = 0.04t
C F = 4t + 62
D F = 0.04t + 62
A changing the vertical scale so that it
extends from 0 to 80
DOK 2
B changing the horizontal scale so that it
extends from 0 to 100
46
C removing the 6 data points that are closest
to the line of best fit
D removing the 6 data points that are
farthest from the line of best fit
DOK 2
This graph represents how the average
temperature of a puddle of water being
warmed by the sun changes over time.
The Alpha Centauri system is approximately
3.8 × 1016 meters from our sun. Another star
system is 400 times farther away from the
sun than Alpha Centauri. What distance is
that star system from our sun?
A 1.52 × 1016 meters
B 1.52 × 1017 meters
C 1.52 × 1018 meters
D 1.52 × 1019 meters
8.SP.2
DOK 2
LPS 8th Grade Math Pre-test
8.F.4
20
8.EE.4/8.F.4
Go On
MATHEMATICS
DIRECTIONS: Read the question and choose the best answer.
47
48
Karisha used this coordinate system to draw
a map of her school.
This graph shows the relationship between
the number of hours a car repair takes and
the total cost at two different auto shops.
Which of these equations can be used to
determine the number of hours that the total
costs at the two auto shops are the same?
Karisha solved the equation d 2 + d 2 = 102
to find d, the distance in units in a straight
line from the gym to the library. Which
statement best evaluates Karisha's method
for finding that distance?
A 50 + 60h = 150 + 25h
B 50 − 150 = 60h − 25h
C 50 + 150 = 60h + 25h
D 50 − 60h = 150 − 25h
A Her method is correct because the right
triangle is scalene, and she used the
Pythagorean theorem correctly.
DOK 2
8.EE.8.c
B Her method is correct because the right
triangle is isosceles, and she used the
Pythagorean theorem correctly.
C Her method is incorrect because the right
triangle is isosceles, but she used the
Pythagorean theorem incorrectly.
D Her method is incorrect because the right
triangle is scalene, but she used the
Pythagorean theorem incorrectly.
DOK 2
LPS 8th Grade Math Pre-test
8.G.7/8.G.8
21
Go On
MATHEMATICS
DIRECTIONS: Read the question and choose the best answer.
49
50
Kayla threw a paper airplane out of a thirdfloor window. This table shows how the
height of the paper airplane changed over
time.
Submarine S is 5 kilometers from submarine
T and 12 kilometers from submarine R. How
far apart, in kilometers, are submarines R
and T?
If the trend in the table continued, which
strategy can be used to find the time in
seconds when the paper airplane reached
the ground?
A 12
B 13
C 17
D 19
A divide 5 by 3, then add 10 to the result
B divide 10 by 3, then add 5 to the result
C divide 5 by 1.5, then add 10 to the result
D divide 10 by 1.5, then add 5 to the result
DOK 3
LPS 8th Grade Math Pre-test
The positions of three submarines are
shown on this coordinate plane.
DOK 2
8.F.4
22
8.G.7/8.G.8
Go On
MATHEMATICS
DIRECTIONS: Read the question and choose the best answer.
51
A factory makes candles in either short, s, or
long, l, sizes. Shipments of candles must
weigh 54 pounds. Each shipment must also
have a 3:1 ratio of short candles to long
candles, as represented in this system of
equations.
53
What is the distance, in units on the map,
from City Hall to the community center?
0.35s + 0.75l = 54
s = 3l
A 14
B 10
C 13
D 11
How many candles of each size will satisfy
both requirements?
DOK 2
A 135 short candles and 45 long candles
B 30 short candles and 90 long candles
C 120 short candles and 16 long candles
D 90 short candles and 30 long candles
DOK 2
On a gridded map, City Hall is located at
(1, 3) and the community center is located at
(9, 9).
54
8.G.7/8.G.8
What is the slope of a line that passes
through points (4, 8) and (6, 3)?
𝟓
A𝟐
8.EE.8.b/8.EE.8.c
𝟐
B𝟓
𝟓
52
C –𝟐
A 12-meter tall communication tower is
supported by straight cables that connect
the top of the tower to stakes that are 5
meters from its base.
𝟐
D –𝟓
DOK 2
What is the length of one support cable?
55
A 17 meters
B 7 meters
C 13 meters
D 11 meters
DOK 2
8.F.4
Kevin buys bicycle inner tubes for $4.50
each. He uses a coupon for $8.00 off his
purchase.
Which equation can be used to determine
Kevin's total cost, c, for t inner tubes?
8.G.7/8.G.8
A c = 4.5t – 8
B c = 4.5t + 8
C𝑐=
D𝑐=
𝑡
4.5
𝑡
4.5
−8
+8
DOK 2
LPS 8th Grade Math Pre-test
23
8.F.4
Go On
MATHEMATICS
DIRECTIONS: Read the question and choose the best answer.
56
58
Julie bought a plastic run-around ball for her
guinea pig.
Glenn’s Gaseteria sells gasoline using the
following equation, where C is the total cost
and g is the number of gallons of gasoline.
diameter
C = 3.35g
Sandy’s Station uses the following table to
determine the total cost for buying different
numbers of gallons of gasoline.
Cost of Gasoline at Sandy’s Station
Gallons of
Cost of Gasoline
Gasoline
(in USD)
2
$7
If the volume of the ball is 288π cubic
inches, what is the diameter of the ball?
4
$14
6
$21
A 6 inches
B 12 inches
C 36 inches
D 72 inches
8
$28
10
$35
DOK 2
57
Which statement is true based on the
information shown above?
8.G.9
A Sandy’s Station would be cheaper
because the gasoline costs $3.50 per gallon.
About how many cubic meters of water will
this swimming pool hold if it is filled to
capacity?
6m
B Both places charge the same amount per
gallon of gasoline.
C Glenn’s Gaseteria is cheaper because the
gasoline costs $3.35 per gallon.
D Sandy’s Station would be cheaper
because the gasoline costs $3.35 per gallon.
2m
DOK 2
8.EE.5
A 18.0 cubic meters
B 28.3 cubic meters
C 37.7 cubic meters
D 56.5 cubic meters
DOK 2
LPS 8th Grade Math Pre-test
8.G.9
24
Go On
MATHEMATICS
DIRECTIONS: Read the question and choose the best answer.
59
Tony surveyed 50 students at his school to see how many of them like broccoli, spinach, or both. The
results of his survey are shown in this table.
According to the table, which group is more likely to like spinach: people who like broccoli or people
who do not like broccoli? Explain your answer on these lines.
___________________________________________________________________________
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DOK 3
LPS 8th Grade Math Pre-test
8.SP.4
25
Go On
MATHEMATICS
DIRECTIONS: Read the question and choose the best answer.
60
A party hat is shaped like a cone with a diameter of 8 inches and a height of 9 inches.
What is the radius of the circular base of the hat? Write your answer on the line.
A 4 inches
B 6 inches
C 8 inches
D 16 inches
How would the volume of the hat change if the diameter increases to 10 inches? Be sure to include
work when solving volume for both diameters.
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DOK 2
8.G.9
END
LPS 8th Grade Math Pre-test
26
Go On
MATHEMATICS
DIRECTIONS: Read the question and choose the best answer.
LPS 8th Grade Math Pre-test
27
Go On