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D i a g n o st i c C h a r t suggestions for intervention and remediation suggested materials simplify placement decisions S c o r i n g G u i d e simplify placement S c o i d e Diagnostic and Placement Tests for Grades K through 8, Algebra 1, Geometry, and Algebra 2 Grade K-Algebra 2 I n t e r v e n t i o n / R e m e d i a t i o n

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Page 1: Grade K-Algebra 2 - Lancaster School District · 2016-08-04 · Grade K-Algebra 2 simplify placement decisions S c o r n g G u i d e simplify placement o d Diagnostic and Placement

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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Page 2: Grade K-Algebra 2 - Lancaster School District · 2016-08-04 · Grade K-Algebra 2 simplify placement decisions S c o r n g G u i d e simplify placement o d Diagnostic and Placement

Diagnostic and Placement Tests 86

Program: DPT Component: Test WorkbookPDF Proof

Vendor: Aptara Grade: Grade 7

Copyright ©

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-Hill C

ompanies, Inc. Perm

ission is granted to reproduce for classroom

use.Placement

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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Page 3: Grade K-Algebra 2 - Lancaster School District · 2016-08-04 · Grade K-Algebra 2 simplify placement decisions S c o r n g G u i d e simplify placement o d Diagnostic and Placement

87 Diagnostic and Placement Tests

Program: DPT Component: Test WorkbookPDF Proof

Vendor: Aptara Grade: Grade 7

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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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Page 4: Grade K-Algebra 2 - Lancaster School District · 2016-08-04 · Grade K-Algebra 2 simplify placement decisions S c o r n g G u i d e simplify placement o d Diagnostic and Placement

Diagnostic and Placement Tests 88

Program: DPT Component: Test WorkbookPDF Proof

Vendor: Aptara Grade: Grade 7

Copyright ©

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-Hill C

ompanies, Inc. Perm

ission is granted to reproduce for classroom

use.Domain

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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Page 5: Grade K-Algebra 2 - Lancaster School District · 2016-08-04 · Grade K-Algebra 2 simplify placement decisions S c o r n g G u i d e simplify placement o d Diagnostic and Placement

89 Diagnostic and Placement Tests

Program: DPT Component: Test WorkbookPDF Proof

Vendor: Aptara Grade: Grade 7

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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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ission is granted to reproduce for classroom

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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

Program: DPT Component: Test WorkbookPDF Proof

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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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Page 8: Grade K-Algebra 2 - Lancaster School District · 2016-08-04 · Grade K-Algebra 2 simplify placement decisions S c o r n g G u i d e simplify placement o d Diagnostic and Placement

Diagnostic and Placement Tests 92

Program: DPT Component: Test WorkbookPDF Proof

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ompanies, Inc. Perm

ission is granted to reproduce for classroom

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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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Page 9: Grade K-Algebra 2 - Lancaster School District · 2016-08-04 · Grade K-Algebra 2 simplify placement decisions S c o r n g G u i d e simplify placement o d Diagnostic and Placement

93 Diagnostic and Placement Tests

Program: DPT Component: Test WorkbookPDF Proof

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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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Diagnostic and Placement Tests 94

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ompanies, Inc. Perm

ission is granted to reproduce for classroom

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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Page 11: Grade K-Algebra 2 - Lancaster School District · 2016-08-04 · Grade K-Algebra 2 simplify placement decisions S c o r n g G u i d e simplify placement o d Diagnostic and Placement

95 Diagnostic and Placement Tests

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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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Vendor: Aptara Grade: Grade 7

Copyright ©

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ompanies, Inc. Perm

ission is granted to reproduce for classroom

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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Page 13: Grade K-Algebra 2 - Lancaster School District · 2016-08-04 · Grade K-Algebra 2 simplify placement decisions S c o r n g G u i d e simplify placement o d Diagnostic and Placement

97 Diagnostic and Placement Tests

Program: DPT Component: Test WorkbookPDF Proof

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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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Diagnostic and Placement Tests 98

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ompanies, Inc. Perm

ission is granted to reproduce for classroom

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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Program: DPT Component: Test Workbook (AK)PDF Proof

Vendor: Aptara Grade: Grade K–Algebra 2

185 Diagnostic and Placement Tests

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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

_G7_

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.

086_

098_

DPT

_G7_

6624

54.in

dd

939/

20/1

1 1

2:15

PM

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

Page 16: Grade K-Algebra 2 - Lancaster School District · 2016-08-04 · Grade K-Algebra 2 simplify placement decisions S c o r n g G u i d e simplify placement o d Diagnostic and Placement

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

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

C

150°

D

21

086_

098_

DPT

_G7_

6624

54.in

dd

969/

20/1

1 1

2:15

PM

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_

098_

DPT

_G7_

6624

54.in

dd

959/

20/1

1 1

2:15

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

Page 17: Grade K-Algebra 2 - Lancaster School District · 2016-08-04 · Grade K-Algebra 2 simplify placement decisions S c o r n g G u i d e simplify placement o d Diagnostic and Placement

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

086_

098_

DPT

_G7_

6624

54.in

dd

989/

20/1

1 1

2:15

PM

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)

086_

098_

DPT

_G7_

6624

54.in

dd

979/

20/1

1 1

2:15

PM

Answers (Grade 7)

161_207_DPT_AK_662454.indd 187161_207_DPT_AK_662454.indd 187 21/09/11 5:02 PM21/09/11 5:02 PM