Common Assessment 3 Review
Some questions (c) 2013 by TEKS Resource System.
Some questions (c) 2012 by Region 10 Educational Service Center.
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1
The square root of 238 is between
4
Mr. Jones planted a square flower
which two whole numbers?
garden that covers an area of 45
A
14 and 15
square feet. If Mr. Jones wants to
B
15 and 16
C
16 and 17
surround the garden with a fence,
which is closest to the amount of
fencing Mr. Jones needs to surround
the garden?
D 17 and 18
F
2
90 feet
The area of a square is 22 square
G 45 feet
feet. Which is closest to the length of
H 27 feet
each side of the square?
F
J
7 feet
3.7
G 4.1
H 4.7
J
3
5.1
Right triangle ABC is shown below.
What is the approximation of A
2.2
B
2.8
C
3.2
?
D 4.0
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5
is reflected in the x­axis, followed by a reflection in the y­axis, followed by another
reflection in the x­axis.
The final image for will have endpoint coordinates A
A' (2, 3) and B' (8, 8)
B
A' (­2, ­3) and B' (­8, ­8)
C
A' (­2, 3) and B' (­8, 8)
D A' (2, ­3) and B' (8, ­8)
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6
The coordinate plane below shows Which of these is .
reflected first across the y­axis and then reflected across the
x­axis?
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F
G
H
J
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7
Leland swam from the dock east 26 meters. He turned and swam another 10 meters,
as shown in the diagram below.
What is the value of x,the distance Leland swam to return to the dock?
A
36 m
B
24 m
C
4 m
D 16 m
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8
Barry starts at his tent in camp and
walks 30 yards north and then 40
9
A designer drew this plan for a
stairway to be built in a house.
yards east.
Which of these measures is closest to
Which of these is x, the distance Barry
x, the length of the railing of the
is from his tent?
stairway?
F
35 yards
A
13 feet
G 40 yards
B
10 feet
H 50 yards
C
9 feet 5 inches
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10
A road runs 1200 feet from X to Y and
11
Mr. Saddler has drawn plans for a
then makes a right angle to Z, a
wooden gate he wishes to build. He
distance of 500 feet. A new road is
wants to reinforce the gate with
being built to connect X and Z. How
cables across both diagonals as
much shorter will the new road be?
shown in this diagram.
F
400 ft.
What is the minimum length of cable
G 600 ft.
Mr. Saddler will need for the
H 850 ft.
reinforcement of the gate across
J
1300 ft.
both diagonals?
A
13 ft.
B
17 ft.
C
26 ft.
D 169 ft.
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12
The student council at Zimmer High School plans to build large letters to display in
their gymnasium to boost school spirit. If they want each letter to be 12 feet tall, use
the diagram to determine the length of board needed to build the letter “Z”. Each line
represents one foot. F
23 feet
G 13 feet
H 10 feet
J
18 feet
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13
Patrick drew a scale map on a coordinate grid to show the location of three towns.
Based on the scale of the map, what is the distance from Allenville to Shouton?
A
10 miles
B
6 miles
C
100 miles
D 7 miles
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14
Don works with his grandfather
16
Jardon walked from his home at
repairing roofs. The diagram below
Point A to his after­school job at
shows the side view of a roof they
Point C by walking first to his friend's
plan to repair.
house at Point B. If he went directly
home after work, from Point C to
Point A, approximately how much
shorter was his trip home than his
trip to work?
Based on the measurements shown,
what is l, the length of the roof?
F
169 feet
G 13 feet
H 29 feet
J
F
15 feet
45 yds
G 90 yds
15
An apartment complex stretched a
string of decorative floats diagonally
H 120 yds
J
360 yds
across the pool as shown below.
What is the length of the string of
floats?
A
25 ft B
35 ft
C
70 ft
D 300 ft
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17
Which of these points is located in the graph of the line below?
A
B
C
(2, 0)
D
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18
Which quadrant of a standard
coordinate plane has values where x
< 0 and y > 0?
F
Quadrant I
G Quadrant II
H Quadrant III
J
19
Quadrant IV
The lines whose equations are x = 4
and y = ­2 are graphed on the same
set of coordinate axes. What are the
coordinates of the point of
intersection of these two lines?
A
(­ 2, 4)
B
(4, ­ 2)
C
(4, 2)
D (­ 4, 2)
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20
The point is translated 5 units to the left.
What are the coordinates of the new point?
F
G
H
J
21
All of the following points satisfy a given set of conditions when plotted on
a coordinate plane.
Which of the following best describes the conditions all the points would satisfy?
A
All the points are located in Quadrant I.
B
All points have y > 1 .
C
All points have x > ­2.
D All points would reflect across the y­axis into a different quadrant.
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22
Use the Pythagorean Theorem to find the figure that is a right triangle.
F
G
H
J
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23
Mr. Brooks wants to know the
height of a pole in his yard. He
knows that he can use the
Pythagorean Theorem which is a2 +
b2 = c2 . Which drawing below
represents a model he could use to
find the height of the pole?
A
B
C
D
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24
McKinley Middle School is planning to build a straight walking path from the parking
lot to the school’s new flag pole. The planning committee completed some
preliminary measuring and sketched the diagram below. The committee then
calculated that the path will be approximately 47.17 yards long.
Which can be used to confirm that the committee’s calculations are correct?
F
Area formula for a rectangle
G Perimeter formula for a rectangle
H Pythagorean Theorem for a right triangle
J
25
Area formula for a triangle
Which of the following lengths could
NOT be used to create a right
triangle?
A
27, 36, 45
B
21, 28, 34
C
39, 52, 65
D 14, 48, 50
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26
Look at the drawing shown below.
If the three squares come together to form a right triangle as indicated in the
drawing, what is the area of x?
F
32 cm2
G 576 cm2
H 674 cm2
J
176 cm2
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27
Johnson wants an isosceles right
triangle as shown in the diagram.
28
Use the Pythagorean Theorem to
find the figure that is a right triangle.
F
G
Which of the following could be used
to find x, the length of the third side?
A
B
C
H
D J
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29
In one of the triangles below, the formula a² + b² = c² can be used to find the length
of the missing side. Which triangle is it?
A
B
C
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30
The figure below is a right triangle.
31
Which figure below represents a
The picture shows that each side
triangle with sides a, b and c in which
was increased by performing what
the relationship a2 + b2 = c2 is NOT
operation?
true?
A
B
C
F
Each side was squared.
G Each side was tripled.
H Each side was quadrupled.
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D
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32
Mrs. Simpson wants to cover two of
33
Mindy needs to rake a rectangular
her bulletin boards with paper. The
part of her yard that is 9 feet by 8
drawing below shows the
feet. If it takes her 10 minutes to
dimensions of the bulletin boards.
rake an area that is 12 square feet,
how long will it take Mindy to rake
the entire rectangular part of her
yard?
A
6 minutes
B
30 minutes
C
60 minutes
D 120 minutes
What is the least amount of paper
that Mrs. Simpson will need to cover
both of these bulletin boards?
F
28 ft2
34
An artist painted a large mural from
a 4 inch by 6 inch photograph. If the
G 42 ft2
artist used a scale of inch to
H 52 ft2
represent 1 foot, which of the
J
dimensions, in feet, of the mural?
46 ft2
following best represents the
F
1 foot by feet
G 16 feet by 24 feet
H 12 feet by 18 feet
J
feet by Page 23
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35
Mindy needs to rake her yard. If the
37
Which expression could be used to
area of the yard is 378 square feet,
find the nth term in this sequence?
and the length of the yard is 27 feet,
what is the width of the yard?
Term Value
A
8 feet
1
3
B
9 feet
2
9
C
14 feet
3
19
4
33
n
?
D 72 feet
36
Mrs. Jensen wrote the following
A
3n
B
2n2
C
2n + 1
sequence on the board during her
class.
D 2n2 + 1
Term Number
1
– 1
2
– 4
3
– 9
4
– 16
5
– 25
6
– 36
n
?
Which of the following could be used
to determine the value for n?
F
n + 3
G n – 3
H (– n)2
J
(n)(– n)
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38
An arithmetic sequence is represented by the equation t = 3n ­ 1, where t is the
value of the term, and n is the position in the sequence (or the term number).
Which of the following is the 18th term of that sequence?
F
17
G 53
H 54 J
39
317
Consider the following sequence:
1, 4, 7, 10, 13, …
Which expression can be used to find any term in the sequence?
A
2n + 1
B
n + 3
C
2n D 3n ­ 2 40
Let n represent the position of a
number in the following arithmetic
sequence.
4, 9, 14, 19, 24...
Which expression can be used to find
any term in the sequence?
F
n2
G 5n ­ 1
H 4n ­ 9
J
9n ­ 4
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The table shows the charge, in
43
A given rectangle has an area of 72
cents, for a long distance phone call
square inches. If the length of the
based on the number of minutes
rectangle is 9 inches more than the
used. Which expression can be used
width, which equation could be used
to determine the cost of a long­
to find w, the width of the rectangle?
distance phone call with a length of
A
72w + 9 = 72
B
w + 9 = 72
C
w(w + 9) = 72
t, minutes?
Length of Call
Charge for Call
(minutes)
(cents)
1
20
2
28
3
36
4
44
t
?
D 72(w + 9) =72
44
Abe and Natalie are cousins. If Abe's
age is represented by x and Natalie's
age by y, which of these statements
A
t + 12
B
12t + 8
C
8t + 12
best represents the equation y + 10
= x?
F
Natalie is 10 years younger than
Abe.
D t + 8
G The sum of the ages of Abe and
Natalie is 10 years.
H Natalie is 10 years older than
Abe.
42
The rule for finding the nth term in a
J
In 10 years, Abe will be as old as
Natalie is now.
certain sequence is . Which
would respresent the fifth term in
this sequence? F
G
H
J
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45
A pilot made her hot air balloon ascend from the ground at a rate of 400 feet per
minute. She then leveled the balloon for flight at an altitude of 2,000 feet. Which
graph demonstrates the flight of the balloon?
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A
B
C
D
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46
The graph below shows Eugene's walk from school to his home.
Which statement best represents Eugene's walk home?
F
He walked at miles per hour and took G He walked at miles per hour and took minutes to get home.
minutes to get home.
H He walked at miles per hour, waited for a traffic light to change, and took a
total of minutes to get home.
J
He walked at total of Page 30
miles per hour, waited for a traffic light to change, and took a
minutes to get home.
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47
Which of the following tables can be
48
At the grocery store, dried beans are
generated from the equation y = 2x
on special for $0.45 for 3 ounces.
+ 1?
Which of these graphs best
A
represents the relationship between
the number of ounces of dried beans
and the cost?
F
B
G
C
D
H
J
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49
The graph below represents the
50
The maximum speed of a wild
relationship between w, the amount
turkey is 15 miles per hour, which is
of water in cups needed to make r,
half the maximum speed of a
cups of rice.
domestic cat.
Which of the following equations
could be used to find c, the
maximum speed of a domestic cat?
F
= 15
G
H 2c = 15
J
15c = 2
Which of these tables best
represents the data from this graph?
A
B
C
D
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51
Roberto earns $7.00 an hour working at a grocery store. If he works 20 hours each
week, which of these graphs best represents Roberto's earnings?
A
B
C
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D
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52
Jorge had to pay $8.00 to get into the amusement park. Once in the park, the rides
cost him $.50 each. Which graph would be used to represent this relationship?
F
G
H
J
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53
Ingrid earns $200 each week in
salary plus a 20% commission
(bonus) on her total sales. If Ingrid
wants to earn a total of $400 for
the week, which equation could
represent this situation?
A
400 = 200 + 0.20x
B
400 = 200x + 0.20
C
400x = 200 + 0.20
D 400 = 200 + 0.80x
54
Which of the following tables can be
generated from the equation y = x ­
1?
F
G
H
J
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x
y
2
1
3
2
4
3
5
4
x
y
0
1
1
2
2
3
3
4
x
y
1
3
2
5
3
7
4
9
x
y
0
3
1
5
2
7
3
9
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55
The table below lists the amount of calories for each of the different servings of one
bag of potato chips.
Number of
Servings (n)
Calories (c)
2
300
4
600
6
900
8
1,200
Which of the following graphs best represents the data in the table?
A
B
C
D
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56
Mr. Mueller can grade 23 math
58
A store sells apples in 4­pound bags
papers in 30 minutes. If Mr. Mueller
for $3.30. Which of the following
can continue to grade math papers
bags of apples would be the same
at this same rate, which proportion
price per pound?
could be used to determine m, the
F
number of minutes it will take Mr.
Mueller to grade 160 math papers?
F
A 7­pound bag for $5.75
G A 5­pound bag for $4.00
H A 2­pound bag for $6.60
J
A 10­pound bag for $8.25
G
H
J
57
At a candy store, it costs $0.25 to
buy 5 inches of rope candy. Which
proportion could be used to find x,
the length of rope candy that can be
bought for $1.80?
A
B
C
D
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59
Janie and Lawrence have $30 to
60
Ms. Garcia's seventh grade class is
spend at the movies. Tickets cost
collecting aluminum cans to buy new
$6.50 each, and the prices for
board games. They receive $0.35
snacks are shown in the table below.
for each pound of cans they collect.
What is the minimum number of
Snack
Price (includes
tax)
Large Popcorn $3.75
Medium
$3.25
Popcorn
pounds of aluminum cans they need
to collect in order to purchase a
board game that costs $27.20?
F
70
G 78
Small Popcorn $2.75
Large Drink
$3.50
Medium Drink
$3.00
Small Drink
$2.50
Candy Bar
$1.00
H 80
J
85
If they buy one large popcorn, one
small popcorn, and two large drinks,
how many candy bars can they buy
with the money left over?
A
1
B
2
C
3
D 4
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61
Mike recorded the number of hours
62
Michelle paid for 2.5 pounds of
he slept each night for a period of 5
peanuts with a ten­dollar bill. She
days as shown in the table below.
received $1.20 in change from the
cashier. What was the price, per
pound, for the peanuts?
Monday
F
Tuesday
$0.48
G $2.08
Wednesday8
H $3.00
Thursday
J
Friday
$3.52
9
Based on the information in the
table, what was the total number of
hours that Mike slept from Monday
63
The results of seven races that Tina
through Friday?
competed in are shown in the table
A
below.
B
Race Time (in seconds)
C
D
1
10.0
2
10.23
3
9.97
4
10.313
5
10.09
6
10.9
7
9.996
What was the difference between
her slowest and fastest times?
A
0.317 seconds
B
0.343 seconds
C
0.910 seconds
D 0.930 seconds
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64
Mike is planting flowers in plastic
66
The following table lists the number
cups for his science fair project. Each
of pizzas that each of four classes
of the cups is filled to the top with a
ate.
mixture of soil, fertilizer, mulch, and
sand in different proportions. Each
cup contains cup of soil, cup of
fertilizer, and cup of mulch. How
much sand should he use to fill the
cup?
cup
G
cup
J
Class
Amount of
Pizza
Mr. Hernandez
pizzas
Ms. Green
F
H
Pizzas Eaten by Class
cup
cup
pizzas
Mr. Adams
pizzas
Mrs. King
pizzas
What is the total number of pizzas
the four classes ate all together?
F
pizzas
65
Luis is making a wooden model of a
G
flag for his school project. He found
a bargain on square pieces of
plywood. If his flag is to be 18 inches
pizzas
H
pizzas
by 12 inches, what is a reasonable
area for the square piece of plywood
he must purchase if he only wants
J
pizzas
to make one cut in the wood?
A
60 square inches
B
144 square inches
C
216 square inches
D 324 square inches
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67
The Miami Dolphins are a football
68
Which of the following problems can
team in the National Football
be solved using the same operation
League. During their 2000 season,
as the problem below?
they won 4 less than 3 times as
many games as they lost. They lost
"Small lemonades cost 50 cents
5 games. Which expression best
each. At this rate how much would
represents the number of games
six lemonades cost?"
they won in 2000?
F
John rode his bike 50 miles in
A
3 + 5 – 4
three hours at a constant rate.
B
4 – 3 + 5
How long would it take him to
C
4 – 3(5)
D 3(5) – 4
ride one mile?
G A soda costs 75 cents and a
small popcorn costs $1.25. How
much would it cost to buy a
soda and a hot dog?
H It takes six oranges to make a
pint of orange juice. How many
pints can be made from 30
oranges?
J
How much would 10 bricks
weigh if they had a weight of pound each?
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69
Seven friends went together to buy
a gift for their baseball coach. The
gift they selected cost $72.95
before sales tax. The sales tax rate
was 7.25%. If the friends want to
split the total amount evenly which
expression below can be used to do
so?
A
B
(72.95 · 0.0725) + 72.95 · 7
C
(72.95 ÷ 0.0725) + 72.95 · 7
D
70
Mr. Simpson receives a monthly
base salary of $1200 plus a
commission of 8% on his total sales.
Which of these equations could be
used to determine E, Mr. Simpson’s
monthly earnings if he had $5,000 in
total sales?
F
E = 0.08(1200) + 5,000
G E = 0.08(5,000)
H E = 1200 + 8(5,000)
J
E = 1200 + 0.08(5,000)
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