grade k-algebra 2 - lancaster school district · 2016-08-04 · grade k-algebra 2 simplify...
TRANSCRIPT
ISBN: 978-0-07-662454-6MHID: 0-07-662454-4
Diagnostic Chart
suggestions for intervention and remediation suggested materials
Diagnostic and Placement Tests
Grade K-Algebra 2simplify placement
decisions
Scoring Guide
simplify placement
Sco ide
Diagnostic and Placement Tests for Grades K through 8, Algebra 1, Geometry, and Algebra 2
Grade K-Algebra 2
ContentsUsing the Diagnostic and Placement Tests
Placement Options
When to Use the Placement Tests
Interpreting Scores
Scoring Guide Masters
Using Placement Tests for Diagnostic Purposes
Learning Objectives Masters
Answer Keys
Inte
rvention/Remediation
connectED.mcgraw-hill.com
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Diagnostic and Placement Tests 86
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TestScoringGuide
Math Triumphs
Grade 7 Strategic Intervention —See page 90 for materials list.
Glencoe Math, Course 2
Student Name
Key: Consider this student for…
7
For each part, mark the box under the number of correctly answered questions.
Total
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
0 1 2 3 4 5 6 7 8 9 10
The Number System
Ratios and ProportionalRelationships
Expressions and Equations
Geometry
Statistics and Probability
Mark the total number correct below.
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Domain
Question
Number Objective
The Number System
1Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers.
2Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.
3Solve real-world and mathematical problems involving the four operations with rational numbers.
4Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.
Ratios and Proportional Relationships
5Recognize and represent proportional relationships between quantities.
6Recognize and represent proportional relationships between quantities.
7Use proportional relationships to solve multistep ratio and percent problems.
8Use proportional relationships to solve multistep ratio and percent problems.
9Recognize and represent proportional relationships between quantities.
10Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.
Expressions and Equations
11Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related.
12Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.
13Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.
14Solve word problems leading to equations of the form px 1 q 5 r and p(x 1 q) 5 r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently.
15Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
16Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related.
17Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically.
PlacementTestLearning
Objectives 7
Student Name
In the column on the left, mark the questions that the student answered incorrectly.
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Question
Number Objective
Expressions and Equations
18
Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.
19Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically.
Geometry
20Construct triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.
21Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.
22Know the formulas for the area and circumference of a circle and use them to solve problems.
23
Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.
24Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions.
25
Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.
Statistics and Probability
26Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring.
27Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams.
28Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring.
29Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams.
30Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.
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A Special Note About Intervention
When using diagnostic tests, teachers should always question the reason behind the students’ scores. Students can struggle with mathematics concepts for a variety of reasons. Personalized instruction is recommended for English language learners, students with specific learning disabilities, students with certain medical conditions, or for those who struggle with traditional instructional practice. Teachers should always consider the needs of the individual student when determining the best approach for instruction and program placement.
Student
Performance
Level
Number of
Questions
Correct
Suggestions for Intervention and Remediation
Intensive
Intervention
0 –17 Use Math Triumphs to accelerate the achievement of students who are two or more years below grade level. Students should follow a personalized remediation plan. A variety of materials and instructional methods are recommended. For example, instruction and practice should be provided in print, technology, and hands-on lessons.
Strategic
Intervention
18–23 Use the additional Intervention and Remediation materials listed on the next page. This list of materials can provide helpful resources for students who struggle in the traditional mathematics program. Strategic intervention allows students to continue to remain in the Glencoe Math program, while receiving the differentiated instruction they need. Teaching Tips and other resources are also listed in the Teacher Edition.
Grade 7 24 or more Use Glencoe Math. This student does not require overall intervention. However, based on the student’s performance on the different sections, intervention may be required. For example, a student who missed 1 or more questions in the Geometry section may require extra assistance as you cover these skills throughout the year.
7
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Diagnostic and Placement Tests 90
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Get ConnectGet ConnectED For more practice, go to www.connectED.mcgraw-hill.com.
Reteach Masters A brief explanation, along with examples and exercises, for every lesson in the Student Edition (Two pages for Problem-Solving Lessons and one page per lesson for all other lessons) and included in the Chapter Resource Masters
Skills Practice Masters
Additional practice in computational and application exercises for each lesson in the Student Edition and included in the Chapter Resource Masters
Homework Practice Masters
Additional practice in computational and spiral review exercises for each lesson in the Student Edition and included in the Chapter Resource Masters
Self-Check Quizzes
Students can check their understanding for each lesson and email their results to the teacher
Chapter Readiness Quizzes
Online assessment to use at the beginning of each chapter in the Student Edition
Personal Tutor Online instructions for step-by-step solutions for the examples of each lesson in the student textbook
Quick Review Skills Workbook
Additional computational practice in basic skills
Additional TechnologyExamView® Assessment Suite
Networkable software includes a Worksheet Builder to make worksheets and tests, a Student Module to take tests on-screen, and a Management System to keep student records
Grade 7Grad
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91 Diagnostic and Placement Tests
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Mathematics Chart1
23
45
60Inches
LENGTH
Metric
1 kilometer = 1,000 meters
1 meter = 100 centimeters
1 centimeter = 10 millimeters
Customary
1 mile = 1,760 yards
1 mile = 5,280 feet
1 yard = 3 feet
1 foot = 12 inches
CAPACITY AND VOLUME
Metric
1 liter = 1,000 milliliters
Customary
1 gallon = 4 quarts
1 gallon = 128 fl uid ounces
1 quart = 2 pints
1 pint = 2 cups
1 cup = 8 fl uid ounces
MASS AND WEIGHT
Metric
1 kilogram = 1,000 grams
1 gram = 1,000 milligrams
Customary
1 ton = 2,000 pounds
1 pound = 16 ounces
TIME
1 year = 365 days
1 year = 12 months
1 year = 52 weeks
1 week = 7 days
1 day = 24 hours
1 hour = 60 minutes
1 minute = 60 seconds
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Mathematics Chart1
23
45
67
89
1011
1213
1415
1617
1819
20C
entim
eter
s0
PERIMETER
square P = 4s
rectangle P = 2� + 2w or
P = 2(� + w)
AREA
square A = s2
rectangle A = �w or A = bh
triangle A = 1 _ 2 bh or A = bh
__
2
trapezoid A = 1 _ 2 (b
1 + b
2)h or
A = (b
1 + b
2)h
_______ 2
circle A = πr2
CIRCUMFERENCE
circle C = 2πr or
C = πd
VOLUME
cube V = s3
right rectangular prism V = �wh or V = Bh
PI
π ≈ 3.14 or π ≈ 22
__ 7
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1 Nate has 6 3 __ 5 yards of fabric. He uses 3 1 __ 2 yards of fabric to 1 make a pillow. How much fabric does he have left?
A 3 1 __ 10 yards C 3 2 __ 3 yards
B 3 1 __ 5 yards D 4 1 __ 10 yards
2 Olivia orders 4 ham sandwiches at the deli. The total 2 amount was $30.52. How much did each sandwich cost?
F $7.63 G $7.83 H $12.63 J $122.08
3 Mrs. Cheng has $18 deducted monthly from her checking 3 account for her gym membership. What integer represents the change in her account for a year of gym membership?
A —$18 B —$36 C —$180 D —$216
4 Find 3 __ 5 3 4 1 __ 3 . Write in simplest form. 4
F 9 __ 16 G 2 H 2 3 __ 5 J 4 14 __ 15
5 On a map, 3 inches represent an actual distance of 42 miles. 5 If the actual distance between two cities is 322 miles, how
many inches apart will the two cities be on the map?
A 8 inches C 23 inches
B 14 inches D 107 inches
Diagnostic and
Placement
Grade 7
Name
Date
This test contains 30 multiple-choice questions. Work each problem in the space on this page. Select the best answer. Write the letter of the answer on the blank at the right.
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use. 6 Tyler earned $68 for babysitting 8 hours. If Tyler is paid 6
the same rate, how much will he earn for babysitting 12 hours?
F $8.50 H $102
G $80 J $816
7 Charlene bought her friends lunch. The bill came to $52.80 7 before Charlene added an 18% service tip. How much did she add for the service tip?
A $4.75 C $9.50
B $5.70 D $10.20
8 The school band sold 200 tickets to their concert. If 8 90 of the tickets were adult tickets, what percent of the tickets sold were adult tickets?
F 18% H 55%
G 45% J 90%
9 A car travels 528 miles on 16 gallons of gas. At the same 9 rate, how many gallons of gas are needed to travel 165 miles?
A 4 B 5 C 6 D 7
10 The table shows the cost of blueberries at a local farmer’s 10 market. What is the unit price for one ounce of blueberries?
Ounces Cost6 $1.80
12 $3.6018 $5.40
F $0.30 per ounce H $0.60 per ounce
G $0.40 per ounce J $1.80 per ounce
11 Which expression is equivalent to 5x 1 2 2 x 1 10? 11 A 4x 1 12 C 4x 2 8
B 6x 1 12 D 6x 2 8
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12 A triangle has a height that is 5 units shorter than its 12 base. If b represents the base and h represents the height, which of the following equations represent the area of the triangle?
F A 5 1 __ 2 (b 2 5) H A 5 1 __ 2 b(b 2 5)
G A 5 1 __ 2 (h 2 5) J A 5 1 __ 2 (b 2 5)h
13 Which equation shows the relationship between 13 the x- and y-values in the table to the right?
x y2 44 66 87 9
10 12
A y 5 x 2 2 C y 5 x 1 2
B x 5 y 1 2 D y 5 x __ 2
14 What is the solution to the equation 3t 2 10 5 8? 14 F t 5 3 H t 5 8
G t 5 6 J t 5 9
15 Randy is playing a number game. Beginning with the number 8, 15 he adds 4, multiples by 5, and then divides by 210. He then subtracts 2. What number does he find at the end of the game?
A 28 B 26 C 6 D 8
16 The table below shows the charges for a taxi ride in a city. 16
Charges for Each Taxi Ride Charges Rate
Mileage Charge $0.75 Each Mile City Gas Tax $0.10 Each Mile
Tourist Charge $2.50
If a taxi ride is m miles, which expression can be used to find the total charge of the ride?
F 2.50m 1 0.75 H 0.10m 1 3.25
G 0.75m 1 2.50 J 0.85m 1 2.50
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Diagnostic and Placement Tests 96
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use. 17 Michael’s age is 5 years younger than Jordan. Jordan is 17 4 years younger than Keanu. Keanu is 17 years old.
How old is Michael?
A Michael is 12 years old, because he is 5 years younger than Keanu.
B Michael is 22 years old, because he is 5 years older than Keanu.
C Michael is 8 years old, because he is 5 years younger than Jordan, and Jordan is 13 years old.
D Michael is 18 years old, because he is 5 years older than Jordan, and Jordan is 13 years old.
18 Jeb’s weight w is 1 __ 3 of Iago’s weight a. Which equation could 18 be used to find Jeb’s weight?
F w 5 a 2 1 __ 3 H w 5 1 __ 3 1 a
G w 5 1 __ 3 a J w 5 a 4 1 __ 3
19 An electrician charges $30 for a house visit and $55 for 19 each hour of work. If Mrs. Firewalks was charged $222.50
for work, which can be used to find the number of hours that the electrician worked?
A Subtract 55 from 222.50 and then divide the difference by 30.
B Subtract 30 from 222.50 and then divide the difference by 55.
C Divide 222.50 by 55.
D Divide 222.50 by 30.
20 Diane draws an obtuse, isosceles triangle with one of the 20 angles measuring 35°. What is the measure of the obtuse angle in her triangle?
F 35° G 55° H 110° J 145°
21 The measure of ∠B in parallelogram ABCD is 75°. What is 21 the measure of ∠A?
BA
C D
75°
A 75° B 105° C 150° D 210°
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22 The circumference of a circle is 20π. What is the radius 22 of this circle?
F 2 G 10 H 20 J 40
23 Find the surface area of the composite figure below. 23
2 in.
6 in.
6 in.
15 in.10 in.
A 184 in2 B 416 in2 C 744 in2 D 840 in2
24 Which of the following is closest to the measure of the 24 angle shown below?
F 50° G 80° H 130° J 180°
25 The height of a box is 6 inches. 25 The length of the box is 14 inches
and the width of the box is4 inches.
14 in.
4 in.
6 in.
Which equation could be used to find the surface area of the box?
A s 5 2 · (14 · 6) 1 2 · (4 · 6) C s 5 2 · (14 · 4) 1 2 · (14 · 6) 1 2 · (6 · 4)
B s 5 (14 · 4) 1 (14 · 6) 1 (6 · 4) D s 5 (14 · 4) · (14 · 6) · (6 · 4)
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use. 26 Booker has a bag of marbles. There are 10 blue marbles, 26 6 yellow marbles, and 4 red marbles. Booker reaches into
the bag without looking and picks a marble. What is the probability that he picks a red marble?
F 1 __ 3 G 1 __ 4 H 1 __ 5 J 1 __ 20
27 To win a prize, a player picks a door and then a box behind 27 the door. There are 3 doors and 4 boxes behind each door. How many prizes can be won if each box has a different prize?
A 3 B 4 C 7 D 12
28 There are 10 marbles in a bag: 1 blue, 4 yellow, 3 red, 28 and 2 white. If you choose a marble at random, which is the probability that you will NOT choose white?
F 20% G 25% H 75% J 80%
29 Juan needs to choose an outfit from his closet. He can 29 choose from a red, green, or blue T-shirt and he can
choose from a pair of blue, tan, or black pants. Which table shows all possible outfits if Juan picked one shirt and one pair of pants at random?
A Outfits Shirts Pants red blue green black blue tan
B Outfits Shirts Pants red blue green blue blue blue red black green black blue black red tan green tan blue tan
C Outfits Shirts Pants red blue green black blue tan red blue green black blue tan red blue green black blue tan
D Outfits Shirts Pants red blue green black blue tan red blue green black blue tan
30 A jar contains 4 green marbles, 2 pink marbles, and 30 3 striped marbles. One marble is picked at random
and then replaced. Then another marble is drawn at random again. What is the probability that both marbles are striped?
F 1 __ 81 H 1 __ 3
G 1 __ 9 J 1 __ 2
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185 Diagnostic and Placement Tests
Dia
gnos
tic a
nd P
lace
men
t Tes
ts
94
6 T
yler
ear
ned
$68
for b
abys
itti
ng 8
hou
rs. I
f Tyl
er is
pai
d 6
H
th
e sa
me
rate
, how
muc
h w
ill h
e ea
rn fo
r bab
ysitt
ing
12 h
ours
?
F
$8.
50
H
$10
2
G
$
80
J $
816
7 C
harl
ene
boug
ht h
er fr
iend
s lu
nch.
The
bill
cam
e to
$52
.80
7
C
befo
re C
harl
ene
adde
d an
18%
ser
vice
tip.
How
muc
h di
d sh
e
add
for t
he s
ervi
ce ti
p?
A
$
4.75
C
$
9.50
B
$
5.70
D
$
10.2
0
8 T
he s
choo
l ban
d so
ld 2
00 ti
cket
s to
thei
r con
cert
. If
8
G90
of t
he ti
cket
s w
ere
adul
t tic
kets
, wha
t per
cent
of
the
tick
ets
sold
wer
e ad
ult t
icke
ts?
F
18%
H
55
%
G
45
%
J 90
%
9 A
car
trav
els
528
mile
s on
16
gallo
ns o
f gas
. At t
he s
ame
9
B
rate
, how
man
y ga
llons
of g
as a
re n
eede
d to
trav
el 1
65 m
iles?
A
4
B
5 C
6
D
7
10
The
tabl
e sh
ows
the
cost
of b
lueb
erri
es a
t a lo
cal f
arm
er’s
1
0
Fm
arke
t. W
hat i
s th
e un
it pr
ice
for o
ne o
unce
of b
lueb
erri
es?
Oun
ces
Cost
6$
1.80
12$
3.60
18$
5.40
F
$
0.30
per
oun
ce
H
$0.
60 p
er o
unce
G
$
0.40
per
oun
ce
J $
1.80
per
oun
ce
11
Whi
ch e
xpre
ssio
n is
equ
ival
ent t
o 5x
1 2
2 x
1 1
0?
11
A
A
4x
1 1
2
C
4x
2 8
B
6x
1 1
2
D
6x
2 8
086_
098_
DPT
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6624
54.in
dd
949/
20/1
1 1
2:15
PM
9
3
Dia
gnos
tic a
nd P
lace
men
t Tes
ts
1 N
ate
has
6 3 __
5 y
ards
of f
abri
c. H
e us
es 3
1 __
2 y
ards
of f
abri
c to
1
A
m
ake
a pi
llow
. How
muc
h fa
bric
doe
s he
hav
e le
ft?
A
3
1 _
_
10 y
ards
C
3
2 __
3 y
ards
B
3
1 __
5 y
ards
D
4
1 _
_
10 y
ards
2 O
livia
ord
ers
4 ha
m s
andw
iche
s at
the
deli.
The
tota
l 2
F
amou
nt w
as $
30.5
2. H
ow m
uch
did
each
san
dwic
h co
st?
F
$
7.63
G
$
7.83
H
$
12.6
3 J
$12
2.08
3 M
rs. C
heng
has
$18
ded
ucte
d m
onth
ly fr
om h
er c
heck
ing
3
D
acco
unt f
or h
er g
ym m
embe
rshi
p. W
hat i
nteg
er re
pres
ents
th
e ch
ange
in h
er a
ccou
nt fo
r a y
ear o
f gym
mem
bers
hip?
A
—
$18
B
—
$36
C
—
$18
0 D
—
$21
6
4 F
ind
3 __
5 3
4 1 __
3 . W
rite
in s
impl
est f
orm
.
4
H
F
9 _
_
16
G
2 H
2
3 __
5
J 4
14
__
15
5 O
n a
map
, 3 in
ches
repr
esen
t an
actu
al d
ista
nce
of 4
2 m
iles.
5
C
If
the
actu
al d
ista
nce
betw
een
two
citi
es is
322
mile
s, h
ow
man
y in
ches
apa
rt w
ill th
e tw
o ci
ties
be
on th
e m
ap?
A
8
inch
es
C
23 in
ches
B
14
inch
es
D
107
inch
es
Dia
gn
os
tic a
nd
Pla
cem
en
t
Gra
de
7
Nam
e D
ate
This
test
con
tain
s 30
mul
tipl
e-ch
oice
que
stio
ns. W
ork
each
pro
blem
in th
e sp
ace
on th
is p
age.
Sel
ect t
he b
est a
nsw
er. W
rite
the
lett
er o
f the
ans
wer
on
the
blan
k at
the
righ
t.
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Answers (Grade 7)
161_207_DPT_AK_662454.indd 185161_207_DPT_AK_662454.indd 185 21/09/11 5:02 PM21/09/11 5:02 PM
Diagnostic and Placement Tests 186
Copyright ©
The M
cGraw
-Hill C
ompanies, Inc. Perm
ission is granted to reproduce for classroom
use.
Program: DPT Component: Test Workbook (AK)PDF Proof
Vendor: Aptara Grade: Grade K–Algebra 2
Dia
gnos
tic a
nd P
lace
men
t Tes
ts
96
17
Mic
hael
’s a
ge is
5 y
ears
you
nger
than
Jord
an. J
orda
n is
1
7
C
4 ye
ars
youn
ger t
han
Kean
u. K
eanu
is 1
7 ye
ars
old.
H
ow o
ld is
Mic
hael
?
A
M
icha
el is
12
year
s ol
d, b
ecau
se h
e is
5 y
ears
you
nger
than
Kea
nu.
B
M
icha
el is
22
year
s ol
d, b
ecau
se h
e is
5 y
ears
old
er th
an K
eanu
.
C
M
icha
el is
8 y
ears
old
, bec
ause
he
is 5
yea
rs y
oung
er th
an Jo
rdan
, and
Jord
an is
13
yea
rs o
ld.
D
M
icha
el is
18
year
s ol
d, b
ecau
se h
e is
5 y
ears
old
er th
an Jo
rdan
, and
Jord
an is
13
yea
rs o
ld.
18
Jeb
’s w
eigh
t w is
1 __
3 o
f Iag
o’s
wei
ght a
. Whi
ch e
quat
ion
coul
d 1
8
G
be u
sed
to fi
nd Je
b’s
wei
ght?
F
w
5 a
2 1 __
3
H
w 5
1 __
3 1
a
G
w
5 1 __
3 a
J
w 5
a 4
1 __
3
19
An
elec
tric
ian
char
ges
$30
for a
hou
se v
isit
and
$55
for
19
B
ea
ch h
our o
f wor
k. If
Mrs
. Fire
wal
ks w
as c
harg
ed $
222.
50
for w
ork,
whi
ch c
an b
e us
ed to
find
the
num
ber o
f hou
rs th
at
the
elec
tric
ian
wor
ked?
A
S
ubtr
act 5
5 fr
om 2
22.5
0 an
d th
en d
ivid
e th
e di
ffer
ence
by
30.
B
S
ubtr
act 3
0 fr
om 2
22.5
0 an
d th
en d
ivid
e th
e di
ffer
ence
by
55.
C
D
ivid
e 22
2.50
by
55.
D
D
ivid
e 22
2.50
by
30.
20
Dia
ne d
raw
s an
obt
use,
isos
cele
s tr
iang
le w
ith
one
of th
e 2
0
Han
gles
mea
suri
ng 3
5°. W
hat i
s th
e m
easu
re o
f the
obt
use
angl
e in
her
tria
ngle
?
F
35
° G
55
° H
11
0°
J
145°
21
The
mea
sure
of ∠
B in
par
alle
logr
am A
BCD
is 7
5°. W
hat i
s 2
1
Bth
e m
easu
re o
f ∠A?
BA
C
D
75°
A
75
° B
10
5°
C
150°
D
21
0°
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9
5
Dia
gnos
tic a
nd P
lace
men
t Tes
ts
12
A tr
iang
le h
as a
hei
ght t
hat i
s 5
units
sho
rter
than
its
12
H
base
. If b
repr
esen
ts th
e ba
se a
nd h
repr
esen
ts th
e he
ight
, whi
ch o
f the
follo
win
g eq
uati
ons
repr
esen
t the
ar
ea o
f the
tria
ngle
?
F
A
5 1 __
2 (b
2 5
)
H
A
5 1 __
2 b
(b 2
5)
G
A
5 1 __
2 (h
2 5
)
J
A
5 1 __
2 (b
2 5
)h
13
Whi
ch e
quat
ion
show
s th
e re
lati
onsh
ip b
etw
een
13
C
the
x- a
nd y
-val
ues
in th
e ta
ble
to th
e ri
ght?
xy
24
46
68
79
1012
A
y
5 x
2 2
C
y
5 x
1 2
B
x
5 y
1 2
D
y
5 x __
2
14
Wha
t is
the
solu
tion
to th
e eq
uatio
n 3t
2 1
0 5
8?
14
G
F
t 5
3
H
t 5 8
G
t 5
6
J t 5
9
15
Ran
dy is
pla
ying
a n
umbe
r gam
e. B
egin
ning
wit
h th
e nu
mbe
r 8,
15
A
he a
dds
4, m
ulti
ples
by
5, a
nd th
en d
ivid
es b
y 2
10. H
e th
en
subt
ract
s 2.
Wha
t num
ber d
oes
he fi
nd a
t the
end
of t
he g
ame?
A
2
8 B
2
6 C
6
D
8
16
The
tabl
e be
low
sho
ws
the
char
ges
for a
taxi
ride
in a
cit
y.
16
J
Char
ges
for E
ach
Taxi
Rid
e Ch
arge
s Ra
te
Mile
age
Cha
rge
$0.7
5 Ea
ch M
ile
City
Gas
Tax
$0
.10
Eac
h M
ile
Tour
ist C
harg
e $2
.50
If
a ta
xi ri
de is
m m
iles,
whi
ch e
xpre
ssio
n ca
n be
use
d to
find
th
e to
tal c
harg
e of
the
ride
?
F
2.
50m
1 0
.75
H
0.
10m
1 3
.25
G
0.
75m
1 2
.50
J
0.
85m
1 2
.50
086_
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PM
Answers (Grade 7)
161_207_DPT_AK_662454.indd 186161_207_DPT_AK_662454.indd 186 21/09/11 5:02 PM21/09/11 5:02 PM
Cop
yrig
ht ©
The
McG
raw
-Hill
Com
pani
es, I
nc. P
erm
issi
on
is g
rant
ed to
rep
rodu
ce f
or c
lass
room
use
.
Program: DPT Component: Test Workbook (AK)PDF Proof
Vendor: Aptara Grade: Grade K–Algebra 2
187 Diagnostic and Placement Tests
Dia
gnos
tic a
nd P
lace
men
t Tes
ts
98
26
Boo
ker h
as a
bag
of m
arbl
es. T
here
are
10
blue
mar
bles
, 2
6
H
6 ye
llow
mar
bles
, and
4 re
d m
arbl
es. B
ooke
r rea
ches
into
th
e ba
g w
itho
ut lo
okin
g an
d pi
cks
a m
arbl
e. W
hat i
s th
e pr
obab
ility
that
he
pick
s a
red
mar
ble?
F
1 __
3
G
1 __
4
H
1 __
5
J 1 _
_
20
27
To
win
a p
rize
, a p
laye
r pic
ks a
doo
r and
then
a b
ox b
ehin
d 2
7
Dth
e do
or. T
here
are
3 d
oors
and
4 b
oxes
beh
ind
each
doo
r. H
ow
man
y pr
izes
can
be
won
if e
ach
box
has
a di
ffer
ent p
rize
?
A
3
B
4 C
7
D
12
28
The
re a
re 1
0 m
arbl
es in
a b
ag: 1
blu
e, 4
yel
low
, 3 re
d,
28
J
and
2 w
hite
. If y
ou c
hoos
e a
mar
ble
at ra
ndom
, whi
ch is
th
e pr
obab
ility
that
you
will
NO
T ch
oose
whi
te?
F
20%
G
25
%
H
75%
J
80%
29
Jua
n ne
eds
to c
hoos
e an
out
fit fr
om h
is c
lose
t. H
e ca
n
29
B
ch
oose
from
a re
d, g
reen
, or b
lue
T-sh
irt a
nd h
e ca
n ch
oose
from
a p
air o
f blu
e, ta
n, o
r bla
ck p
ants
. Whi
ch
tabl
e sh
ows
all p
ossi
ble
outf
its
if Ju
an p
icke
d on
e sh
irt
and
one
pair
of p
ants
at r
ando
m?
A
O
utfit
s Sh
irts
Pant
s re
d bl
ue
gree
n bl
ack
blue
ta
n
B
O
utfit
s Sh
irts
Pant
s re
d bl
ue
gree
n bl
ue
blue
bl
ue
red
bl
ack
gree
n b
lack
bl
ue
blac
k re
d
tan
gree
n
tan
blue
ta
n
C
O
utfit
s Sh
irts
Pant
s re
d bl
ue
gree
n bl
ack
blue
ta
n re
d
blue
gr
een
bl
ack
blue
ta
n re
d
blue
gr
een
bl
ack
blue
ta
n
D
O
utfit
s Sh
irts
Pant
s re
d bl
ue
gree
n bl
ack
blue
ta
n re
d
blue
gr
een
bl
ack
blue
ta
n
30
A ja
r con
tain
s 4
gree
n m
arbl
es, 2
pin
k m
arbl
es, a
nd
30
G
3
stri
ped
mar
bles
. One
mar
ble
is p
icke
d at
rand
om
and
then
repl
aced
. The
n an
othe
r mar
ble
is d
raw
n at
ra
ndom
aga
in. W
hat i
s th
e pr
obab
ility
that
bot
h m
arbl
es a
re s
trip
ed?
F
1 _
_
81
H
1 __
3
G
1 __
9
J 1 __
2
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9
7
Dia
gnos
tic a
nd P
lace
men
t Tes
ts
22
The
cir
cum
fere
nce
of a
cir
cle
is 2
0π. W
hat i
s th
e ra
dius
2
2
Gof
this
circ
le?
F
2
G
10
H
20
J
40
23
Fin
d th
e su
rfac
e ar
ea o
f the
com
posi
te fi
gure
bel
ow.
23
C
2 in
. 6 in
.
6 in
.
15 in
.10
in.
A
18
4 in
2 B
41
6 in
2 C
74
4 in
2 D
84
0 in
2
24
Whi
ch o
f the
follo
win
g is
clo
sest
to th
e m
easu
re o
f the
2
4
H
angl
e sh
own
belo
w?
F
50
° G
80
°
H
130°
J
180°
25
The
hei
ght o
f a b
ox is
6 in
ches
.
25
C
Th
e le
ngth
of t
he b
ox is
14
inch
esan
d th
e w
idth
of t
he b
ox is
4 in
ches
.
14 in
. 4
in. 6 in
.
W
hich
equ
atio
n co
uld
be u
sed
to fi
nd th
e su
rfac
e ar
ea o
f the
box
?
A
s
5 2
· (1
4 · 6
) 1 2
· (4
· 6)
C
s
5 2
· (1
4 · 4
) 1 2
· (1
4 · 6
) 1 2
· (6
· 4)
B
s
5 (1
4 · 4
) 1 (1
4 · 6
) 1 (6
· 4)
D
s 5
(14
· 4) ·
(14
· 6) ·
(6 ·
4)
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Answers (Grade 7)
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