by Judith A. Muschla and Gary Robert Muschla · In recent years pre-algebra has emerged as a major topic in elementary and middle school mathematics. Not only does pre-algebra prepare

by Judith A. Muschlaand

Gary Robert Muschla

New York • Toronto • London • Auckland • SydneyMexico City • New Delhi • Hong Kong • Buenos Aires

Practice, Practice, Practice: Algebra Readiness © Muschla & Muschla, Scholastic Teaching Resources

Scholastic Inc. grants teachers permission to photocopy the reproducible pages inthis book for classroom use. No other part of this publication may be reproducedin whole or in part, or stored in a retrieval system, or transmitted in any form orby any means, electronic, mechanical, photocopying, recording, or otherwise,without written permission of the publisher. For information regarding permission,write to Scholastic Professional Books, 557 Broadway, New York, NY 10012.

Cover design by Maria Lilja

Interior design by Ellen Matlach for Boultinghouse & Boultinghouse, Inc.

Interior illustrations by Teresa Anderko

ISBN: 0-439-52961-1

Copyright © 2005 by Judith A. Muschla and Gary Robert Muschla

All rights reserved. Printed in the U.S.A.

1 2 3 4 5 6 7 8 9 10 40 13 12 11 10 09 08 07 06 05

Dedication

For Erin


The First Dinosaur. . . . . . . . . . . . . 7finding patterns

Lady Inventor . . . . . . . . . . . . . . . . 8finding patterns

“Happy Birthday to You” . . . . . . . 9solving equations with wholenumbers—addition and subtraction

Uncle Sam . . . . . . . . . . . . . . . . . 10solving equations with wholenumbers—multiplication and division

Wild Weather . . . . . . . . . . . . . . . 11completing function tables

A Speedy Flyer . . . . . . . . . . . . . . 12solving equations with wholenumbers—all operations

Follow the Signs . . . . . . . . . . . . . 13completing number sentences

A Capital Idea. . . . . . . . . . . . . . . 14writing expressions

A Very Cold Day . . . . . . . . . . . . . 15writing expressions

Time for Fun. . . . . . . . . . . . . . . . 16using order of operations

Iced Tea, Please . . . . . . . . . . . . . 17using order of operations

Watch Your Step. . . . . . . . . . . . . 18evaluating expressions

A Famous Author . . . . . . . . . . . . 19writing equations

A Sticky Situation . . . . . . . . . . . . 20writing equations

A Big Group . . . . . . . . . . . . . . . . 21identifying properties

Ice Cream Cones . . . . . . . . . . . . 22evaluating equations with decimals—addition and subtraction

Hold on to Your Hat! . . . . . . . . . 23evaluating equations with decimals—multiplication and division

Exploring Underground . . . . . . . 24evaluating expressions withfractions—addition and subtraction

Born on the Fourth of July. . . . . . 25evaluating expressions withfractions—multiplication and division

Grab Your Umbrella . . . . . . . . . . 26solving equations with decimals—addition and subtraction

Turn on the Radio. . . . . . . . . . . . 27solving equations with decimals—multiplication and division

It’s a Gusher! . . . . . . . . . . . . . . . 28solving equations with fractions—addition and subtraction

Tarzan! . . . . . . . . . . . . . . . . . . . 29solving equations with fractions—multiplication and division

Home, Sweet Home . . . . . . . . . . 30solving inequalities with wholenumbers

ContentsIntroduction . . . . . . . . . . . . . . . . . 5


Time for Reading . . . . . . . . . . . . 31solving inequalities with decimals

Alive and Well. . . . . . . . . . . . . . . 32solving proportions

Big Water . . . . . . . . . . . . . . . . . . 33solving proportions

A Wonderful Land. . . . . . . . . . . . 34finding the percent of a number

A Presidential Mathematician . . . 35finding the percent of a number

Turn Up the Heat . . . . . . . . . . . . 36finding what percent one number isof another

A First . . . . . . . . . . . . . . . . . . . . 37finding a number when a percent of itis known

Food for Thought . . . . . . . . . . . . 38solving three types of percent problems

Chips . . . . . . . . . . . . . . . . . . . . . 39finding the percent of increase anddecrease

The Powers of Exponents . . . . . . 40simplifying exponents

The Official White House. . . . . . . 41simplifying expressions with exponents

The First Vaccine. . . . . . . . . . . . . 42identifying equations and inequalitieswith exponents

A Ride in Space . . . . . . . . . . . . . 43finding the square root of a number

Roll the Presses . . . . . . . . . . . . . . 44finding the area of squares andrectangles

The Biggest Sleepyhead . . . . . . . 45finding the area of triangles

Pick a Book of Your Choice . . . . . 46finding the area of parallelogramsand trapezoids

Sky Gazing . . . . . . . . . . . . . . . . . 47finding the area and circumferenceof circles

What’s in the Fridge? . . . . . . . . . 48graphing integers on a number line

Fairy Tales . . . . . . . . . . . . . . . . . 49finding absolute value

Big Wings. . . . . . . . . . . . . . . . . . 50comparing integers

Play Ball . . . . . . . . . . . . . . . . . . . 51adding integers

Top of the Morning . . . . . . . . . . 52subtracting integers

The First Video Game . . . . . . . . . 53multiplying and dividing integers

A Presidential Pet . . . . . . . . . . . . 54using all operations with integers

Model White House . . . . . . . . . . 55simplifying expressions with integers

Going Solo . . . . . . . . . . . . . . . . . 56graphing ordered pairs

Let’s Go Biking . . . . . . . . . . . . . . 57writing rules for t-tables

An Inspiring Poem . . . . . . . . . . . 58evaluating expressions with integers

Answer Key . . . . . . . . . . . . . . . . 59


In recent years pre-algebra has emerged as amajor topic in elementary and middle schoolmathematics. Not only does pre-algebraprepare students for the study of traditionalalgebra, it also fosters a student’s problem-solving skills, promotes the ability to expressmathematical relationships, and extends astudent’s overall proficiency in math.

The purpose of Practice, Practice, Practice!Algebra Readiness is threefold:

• To provide students with reproducibleactivities that will help them to master theskills and concepts of pre-algebra.

• To provide students with activities thatsupport the standards of the NCTM andthat serve as a foundation for the skills andconcepts found in the typical algebracurriculum.

• To provide students with activities that aremotivating, challenging, and fun.

What This Book ContainsThis book contains 52 reproducible activitiesthat focus on the skills and concepts of pre-algebra. The activities progress from basic tochallenging and are designed to meet theneeds of math students in grades 4 through8. The book begins with finding basicpatterns and advances through all of themajor skills associated with pre-algebra,including writing expressions, using the orderof operations, evaluating expressions, writingequations, solving equations, working withformulas, finding equalities and inequalities,and graphing ordered pairs. The activitiesrequire students to work with wholenumbers, fractions, decimals, percents, andintegers.

All of the activities are self-correcting.Students are presented with a question at thebeginning of each activity, which they cananswer by correctly solving the problems. Formost of the activities, a few problems that donot help to answer the questions are includedto make the activities more challenging. Thequestions that begin the activities are derivedfrom various subjects, including geography,history, science, literature, ecology, and popculture.

An answer key is included at the end ofthe book. The key shows the answers to eachproblem as well as the answers to thepuzzles.

5

Introduction

A Very Cold DayWriting

Expressions

15

NameDate

To answer the question, write an algebraic

expression for each word problem. Find

your answers in the Answer Box, then write

the letter of each answer in the space above

its problem number. (Some letters will not

be used.)

Keri divided her collection of 150

stamps equally into n categories. Write

an expression to show the number of

stamps in each category.

Robb earned $25 more than his

brother Mike doing chores for the

neighbors last week. Mike earned n

dollars. Write an expression to show

Robb’s earnings.

Carl has three times as many baseball

cards as his cousin Nick. Nick has n

cards. Write an expression to show the

number of cards in Carl’s collection.

Juan and his two sisters are saving

money for a new stereo, which costs

$150. If n stands for the total amount

they have saved so far, write an

expression to show how much more

money they need.

The speed limit on the highway is 50

miles per hour. Write an expression to

show the distance traveled in n hours.

Let n show any number. Write an

expression that is three more than twice

that number.

6

5

4

3

2

1

The lowest temperature ever

recorded on Earth occurred at a

Russian station in Antarctica.

On July 21, 1983, the temperature

fell to −128.6°F. What was the

name of this Russian station?

Answer: 654321

Answer Box

J. 150 + n O. 50n

K. 2n + 3 V. 150 ÷ n

O. n + 25 U. n ÷ 150

T. 150 − n H. 2n − 3

R. 25n S. 3n

24

Name Date

Exploring UndergroundEvaluating

Expressions withFractions—Addition

and Subtraction

To answer the question, evaluate the expressions. (Remember to simplify.) Write the letter of each expression in thespace above its answer. (Some letters will be used more than once.)

R. + n if n =

E. + n if n =

B. − n if n =

S. 3 + n if n =

C. 7 − n if n = 3

L. − n if n =

N. n + if n =

V. 4 + n if n =

D. n − 4 if n = 5

A. n + 1 if n = 5 12

12

56

16

710

110

110

710

15

45

38

78

13

23

712

1112

18

38

59

29

The deepest cave in the United Statesis part of an extensive system of cavesin a southwestern state. What is thename of this system of caves?

Answer:

4 12 7 7

935 4 1

3 7 1 23

4 12 7 4 4

512

79

45 4

Sky GazingFinding the Area

and Circumferenceof Circles

47

Name Date

To answer the question, find the area and circumferenceof each circle. Use 3.14 for π. Write the letter of eacharea and circumference in the space above its answer.(Some letters will not be used.)

Use these formulas: Area of a circle = πr2

Circumference of a circle = π d

U. Area = sq units

T. Circumference = units

M. Area = sq units

R. Circumference = units

E. Area = sq units

I. Circumference = units

S. Area = sq units

K. Circumference = units

L. Area = sq units

O. Circumference = units

A. Area = sq units

D. Circumference = units

6

5

4

3

2

1

With a diameter of 640 miles, Ceres is the largestone of these in our solar system. What is Ceres?

Answer:87.9231.462.837.6878.525.12200.96615.44

r =6

r = 14

r = 10

d = 16d = 8

d = 10


How to Use This BookEach activity in this book stands alone andmay be used in a manner that best satisfiesthe needs of your students. You may use theactivities in various ways: to supplement yourinstruction, for reinforcement, for extra credit,for challenges, or for substitute plans.

The activities are designed for easyimplementation. Each is reproducible, haseasy-to-follow instructions, and requires noadditional materials. While a few activities, forexample, “A Ride in Space” (finding thesquare root of a number), are best completedusing calculators, the use of calculators formost activities is optional. You mayencourage students to utilize calculators forcomputation, or you may instruct them towork problems out for practice.

While the titles of the activities are relatedto the questions, the specific skill(s) eachactivity addresses is noted at the top of thepage. These skills are also included in thetable of contents beneath the title. Thus, thecontents functions as a skills list, making iteasy for you to identify the activities that willbe of most benefit to your students.

Connections to the NCTMPrinciples and StandardsAll of the activities in this book align with theNCTM’s Principles and Standards for SchoolMathematics. While the activities concentrateon skills and concepts that are essential topre-algebra curricula, development ofmathematical skills and reasoning are alsoencouraged throughout the book.

We trust that your students will enjoythese activities and that you will find theactivities to be a positive supplement to yourmath program. We wish you well in yourteaching.

Judith A. MuschlaGary Robert Muschla

6 Practice, Practice, Practice: Algebra Readiness © Muschla & Muschla, Scholastic Teaching Resources

The First Dinosaur Finding Patterns

7

Name Date

To answer the question, complete each pattern. Find thelast answer of each pattern in the Answer Box, then writethe letter of the answer in the space above its problemnumber. (Some letters will not be used.)

1, 3, 5, 7, , ,

2, 4, 8, 16, , ,

30, 29, 27, 24, , ,

1, 6, 11, 16, , ,

7, 8, 10, 13, , ,

729, 243, 81, 27, , ,

●, ★, ●●, ★★, , ,

★●, ★★●, ★★●●, ★★★●●, ,

,

★, ★●, ★★, ★★●●, ,

,

9

8

7

6

5

4

3

2

1

Dinosaurs ruled Earth for about 180 million years,until they died out 65 million years ago. Manyhistorians agree that an Englishwoman, MaryMantell, discovered the first dinosaur bones in1822. What was this dinosaur named?

Answer:987654321

Answer Box

C. 14

S. ★★★★★

N. 28

R. 12

D. ●●●●

H. 192

A. 31

V. ★●★●★●★

I. 13

U. 9

O. 1

N. ★★★★

G. 128

O. ★★★★●●●●

M. 22

9 11 13

I


8

Name Date

Lady Inventor Finding Patterns

To answer the question, complete each pattern. Find the lastanswer of each pattern in the Answer Box, then write theletter of the answer in the space above its problem number.(Some letters will not be used.)

6, 9, 12, 15, , ,

★, ●●, ★★, ●●●, , ,

★, ●, ★●, ★★, , ,

1, 1, 2, 3, 5, , ,

●●, ★, ●●●, ★★, , ,

1, 1.25, 1.5, 1.75, , ,

4, 9, 16, 25, , ,

, , , , , , 35

710

45

910

8

7

6

5

4

3

2

1

The first patent granted to awoman in the United States was fora machine that weaved straw withsilk or thread. The year was 1809.What was this woman’s name?

Answer:87654321

Answer Box

I. 2.5

B. 1

W. ★★★●

T. 2.3

N. 2

D. 2.55

Y. 21

R. ★★★

H. ●●●●

K. ●●●●●

E. 64

S.

M. 24

J. 81

A. ★★★★

L. 15

310


“Happy Birthday to You”Solving Equations

with WholeNumbers—Addition

and Subtraction

9

Name Date

To answer the question, solve the equations. Write the letterof the problem in the space above its answer. (Some letterswill be used more than once. Some letters will not be used.)

E. 8 + n = 19

n =

A. n + 12 = 43

n =

U. n − 8 = 8

n =

R. 26 + n = 34

n =

S. n − 32 = 51

n =

P. n − 7 = 12

n =

D. 56 = n − 13

n =

H. n = 82 − 76

n =

M. 92 + n = 110

n =

L. 17 + n = 58

n =

N. 101 = n − 45

n =

I. n + 14 = 29

n =

K. n = 324 − 192

n =

T. n − 18 = 54

n =

Y. n + 65 = 72

n =

Just about everybody knows the song“Happy Birthday to You.” Composedin 1893, it has been sung at birthdayparties for more than 100 years. Twosisters wrote the song. Who were they?

Answer:

4141156772723119

69146316911869411518


10

Name Date

Uncle SamSolving Equations

with Whole Numbers—Multiplication and

Division

L. 7 × n = 14

n =

T. n × 9 = 63

n =

R. 14 × n = 42

n =

U. n ÷ 8 = 9

n =

E. n ÷ 25 = 5

n =

M. n × 6 = 72

n =

N. n ÷ 3 = 81

n =

H. n ÷ 5 = 73

n =

F. 84 × n = 420

n =

S. n ÷ 7 = 12

n =

Y. n ÷ 7 = 21

n =

A. 64 × n = 384

n =

O. n × 11 = 363

n =

G. n ÷ 12 = 12

n =

J. n ÷ 2 = 84

n =

Most people are familiar with the image of“Uncle Sam.” With his white hair and tophat, he is a symbol of the United States.The artist who drew the picture usedhimself as a model. Who was this artist?

Answer:

144144625

1473125123314472433312

84125126168



Wild Weather CompletingFunction Tables

11

Name Date

To answer the question, complete the function tables.Match your answers with the answers in the Answer Box,then write the letter of each answer in the space above itsproblem number. The first one has been done for you.

I. y = 5x

II. y = 2x + 2

III. y = 8x − 2

IV. y = 2x + 3

V. y = 5x − 4

VI. y = 9 + 3x

On January 22, 1943, one of the most extremechanges in temperature ever recorded happened inthe United States. At 7:30 A.M., the temperature was–4°F. Within the next two minutes, it rose 49° to 45°F.Where did this rapid temperature change occur?

Answer:

,

2019181716151413121110

987654321

Answer Box

E. 15 O. 23

H. 21 A. 2

S. 5 U. 33

H. 30 P. 10

F. 8 A. 31

S. 13 I. 6

A. 45 K. 18

R. 4 O. 27

D. 26 S. 14

T. 36 T. 16

x 1 2 3

y 51 2 3

x 5 10 15

y10 11 12

x 0 1 3

y4 5 6

x 1 2 4

y7 8 9

x 4 5 6 7

y13 14 15 16

x 3 6 9 12

y17 18 19 20

S


12

Name Date

A Speedy FlyerSolving Equations

with WholeNumbers—All

Operations


L. n − 19 = 35

n =

U. 15 + n = 23

n =

P. n ÷ 8 = 7

n =

A. 14 × n = 84

n =

F. n ÷ 21 = 7

n =

N. n + 38 = 104

n =

J. n − 74 = 25

n =

S. n × 16 = 64

n =

D. n − 38 = 102

n =

I. 81 + n = 110

n =

E. n ÷ 8 = 42

n =

R. 15 × n = 105

n =

C. n + 17 = 44

n =

W. n ÷ 12 = 6

n =

T. n × 28 = 140

n =

The fastest bird in the world can flyat speeds up to 106 miles per hour.What is the name of this speedy bird?

Answer:

-

514729724

1403365429653366629564


Follow the Signs CompletingNumber Sentences

13

Name Date

To answer the question, write +, −, ×, or ÷ to make each numbersentence true. Then write the letter of the sign in the space abovethe number of each problem. The first one has been done for you.

2 × 3 = 13 7

+ − × ÷R M E S

9 + 7 = 2 8

+ − × ÷B H A I

4 9 = 6 × 6

+ − × ÷G A U R

8 4 = 24 ÷ 2

+ − × ÷÷N S V A

24 ÷ 3 = 16 8

+ − × ÷Y A L P

64 8 = 4 × 2

+ − × ÷S M F L

15 + 3 = 24 6

+ − × ÷E O D W

4 7 = 14 × 2

+ − × ÷R Q A E

8

7

6

5

4

3

2

1

The largest active volcano in theworld is located in Hawaii. Whatis the name of this volcano?

Answer:

87654321M

—


14

Name Date

A Capital Idea Writing Expressions

To answer the question, write an expression for each description.Write the letter of the problem in the space above its answer. (Someletters will be used more than once. Some letters will not be used.)

A. the sum of a number and 3

I. 6 less than a number

S. two times a number

L. 8 more than a number

M. a number minus 5

E. a number divided by 4

D. 1 more than two times a number

C. 7 less than four times a number

P. 4 less than a number

H. 1 less than three times a number

Washington, D.C., was not alwaysthe capital of the United States.From 1790 to 1800, another citywas the capital of the country.What city was this?

n − 4 3n − 1 n − 6 n + 8 n + 3 2n + 1 n ÷ 4 n + 8 n − 4 3n − 1 n − 6 n + 3

Answer:


A Very Cold Day Writing Expressions

15

Name Date

To answer the question, write an algebraicexpression for each word problem. Findyour answers in the Answer Box, then writethe letter of each answer in the space aboveits problem number. (Some letters will notbe used.)

Keri divided her collection of 150stamps equally into n categories. Writean expression to show the number ofstamps in each category.

Robb earned $25 more than hisbrother Mike doing chores for theneighbors last week. Mike earned ndollars. Write an expression to showRobb’s earnings.

Carl has three times as many baseballcards as his cousin Nick. Nick has ncards. Write an expression to show thenumber of cards in Carl’s collection.

Juan and his two sisters are savingmoney for a new stereo, which costs$150. If n stands for the total amountthey have saved so far, write anexpression to show how much moremoney they need.

The speed limit on the highway is 50miles per hour. Write an expression toshow the distance traveled in n hours.

Let n be any number. Write anexpression that is three more than twicethat number.

6

5

4

3

2

1

The lowest temperature everrecorded on Earth occurred at aRussian station in Antarctica. On July 21, 1983, the temperaturefell to −128.6°F. What was thename of this Russian station?

Answer:654321

Answer Box

J. 150 + n O. 50n

K. 2n + 3 V. 150 ÷ n

O. n + 25 U. n ÷ 150

T. 150 − n H. 2n − 3

R. 25n S. 3n


16

Name Date

Time for Fun Using Orderof Operations

To answer the question, solve the following equations. Write theletter of each equation in the space above its answer. (Some letterswill be used more than once. Some letters will not be used.)

E. 3(4 + 1) − 4 =

M. 6(3 + 4) ÷ 2 =

N. 3 + 6(2 + 3) =

K. 2(12 ÷ 3) + 7 =

C. 2(12 ÷ 3) − 8 =

L. 9 − (3 − 2) + (3 × 4) =

A. 5(6 − 3) + 2(2 + 8) ÷ (6 − 5) =

O. 3(2 + 6) + 4(7 − 3) =

R. (14 ÷ 2) − (6 − 2) =

U. 4(2 + 3) ÷ (4 − 2) =

S. 8(4 + 2) ÷ (2 × 6) =

P. 2 + 7 − (8 ÷ 4) − 1 =

The oldest amusement park in theUnited States dates back to 1846 inBristol, Connecticut. What is thename of this amusement park?

Answer:

110331040621400

11153520


Iced Tea, Please Using Orderof Operations

17

Name Date

To answer the question, complete each equation by supplyingthe missing number. Write the letter of each equation in thespace above the number that completes it. (Some letters willbe used more than once. One letter will not be used.)

L. (2 + ) × (3 − 1) = 16

Y. (5 − 2) = 15

A. (32 ÷ 4) − (2 × ) = 0

N. (6 + 2) ÷ (6 − 3) = 8

H. 9 + ( × 2) − 6 = 17

E. 3(25 ÷ 5) + (8 ÷ ) = 19

I. − (4 × 2) + (6 − 2) = 6

C. 32 ÷ + 3(7 + 2) = 31

R. (27 − 11) ÷ 2( − 10) = 4

D. 4( − 5) × 2(5 − 4) = 48

S. 4(3 − 1) + 5( − 7) = 38

B. 3(14 − 6) + 8(6 − ) ÷ (16 ÷ 2) = 8

When no one would buy his hot tea atthe St. Louis World’s Fair in 1904 becausethe weather was too hot, this Englishmanadded ice to his tea. His new drinkproved to be very popular then andremains popular today. Who was he?

Answer:

3211357826111124781012


18

Name Date

Watch Your Step

To answer the question, evaluateeach expression for n = 3, t = 5, andy = 7. Then write the letter of theexpression in the space above itsanswer. (Some letters will be usedmore than once. Some letters willnot be used.) The first one has beendone for you.

U. 6 × n

B. (n + t) ÷ 4

L. 24 ÷ n

W. (18 ÷ n) ÷ 2

N. 10 × (y + t)

H. 75 ÷ (n × t)

E. (t × n) + (y + 4)

J. (y + 8) − (t − 4)

R. t + y + 4

A. 14 − (n + y)

T. t × 4 − n

F. 2 × (n × y)

S. 8 × y

V. (70 ÷ y) + n

G. 45 − (n × t)

Z. 24 ÷ (y − t)

,

48261812261202613

5688442826301204

With a drop of 3,212 feet, this waterfall is thehighest in the world. What is the name of thiswaterfall, and in which country is it located?

EvaluatingExpressions

U

18


A Famous Author Writing Equations

19

Name Date

To answer the question, write an algebraic equation for each sentence.Write the letter of each problem in the space above its equation. (Someletters will be used more than once. Some letters will not be used.)

V. 4 more than n is 9.

T. 4 less than n is 9.

L. n divided by 8 is 9.

R. 3 times n is 9.

P. 5 more than n divided by 2 is 9.

C. 6 less than 5 times n is 9.

N. n times 3 divided by 4 is 9.

A. 3 times n minus 3 is 9.

H. the sum of n and 4 divided by 2 is 9.

E. 3 times the sum of n and 1 is 9.

S. the sum of 3 times n plus 3 divided by 3 is 9.

I. n times the sum of 2 and 1 is 9.

C. S. Lewis is well known as the author ofthe series Chronicles of Narnia. Less wellknown is his full name. What do theinitials C. S. stand for?

5n − 6 = 9 n ÷ 8 = 9 n(2 + 1) = 9 n + 4 = 9 3(n + 1) = 9

(3n + 3) ÷ 3= 9

n − 4 = 9 3n − 3 = 9 n ÷ 2 + 5 = 9

n ÷ 8 = 9 3(n + 1) = 9 (3n + 3) ÷ 3= 9

Answer:


20

Name Date

A Sticky Situation Writing Equations

To answer the question, write an equation for each problem.Then write the letter of the problem in the space above itsequation. Let n stand for the missing numbers.

L. Joe had to complete 12 mathproblems for homework. He copiedhis assignment incorrectly andcompleted 16 problems. How manyextra problems did he do?

O. Mike lost some of the pieces of hischeckers set. He now has only 12pieces, including 4 four red ones.How many black pieces does hehave?

R. Marie and her two cousins areplanning refreshments for a familygathering. They need 3 dozencupcakes. How many cupcakesshould each girl bake if they are tobake the same amount?

E. Tyrell can run a mile in 12 minutes.It takes his friend Ryan 3 minuteslonger to run a mile. How long doesit take Ryan to run a mile?

C. Danielle is selling wrapping paper toraise money for her class. The classwill reach its goal if everyone sells12 rolls. Danielle plans to reach thisgoal if she sells 3 rolls of paper perday. How many days will it take herto sell the wrapping paper?

V. Marina is helping her teacher bycutting out circles for a classactivity. There are three groups ofstudents and each group needs adozen circles. How many circlesdoes Marina need to make?

In 1955, George D. Mestral invented a productthat most Americans since then have used atone time or another. What is this product?

3 × 12 = n 12 + 3 = n 16 − 12 = n 12 ÷ 3 = n 36 ÷ 3 = n 12 − 4 = n

Answer:


A Big Group IdentifyingProperties

21

Name Date

To answer the question, match the equations with theproperties they demonstrate. Write the letter of theproperty in the space above the equation number.

7 × 0 = 0

(7 × 3) × 4 = 7 × (3 × 4)

21 + 8 = 8 + 21

10 × 1 = 10

(9 × 6) × 2 = 9 × (6 × 2)

3 × 5 = 5 × 3

(3 + 9) + 4 = 3 + (9 + 4)

106 × 4 = 4 × 106

12 + 0 = 12

9 × (4 + 8) = (9 × 4) + (9 × 8)10

9

8

7

6

5

4

3

2

1

The largest of all animal groupsincludes insects, arachnids (spiders),and crustaceans (lobsters andshrimp). What is the name of this animal group?

Answer:

10987654321

Properties

T. Commutative Property

of Addition

P. Associative Property

of Addition

D. Zero Property

of Addition

A. Zero Property

of Multiplication

O. Commutative Property

of Multiplication

R. Associative Property

of Multiplication

S. Distributive Property

H. Property of One


22

Name Date

Ice Cream ConesEvaluating

Expressions withDecimals—Addition

and Subtraction

To answer the question, evaluate the expressions. Write the letterof each expression in the space above its answer. (Some letterswill be used more than once. One letter will not be used.)

R. 7.2 − n if n = 6.5

H. 0.45 + n if n = 1.7

L. n + 3.1 − 2.6 if n = 1.4

C. 0.4 + n + 0.93 if n = 0.3

Y. n − 3.1 − 0.02 if n = 6.4

M. n − 4.301 if n = 5.2

T. n + 4.31 if n = 2.9

S. n − 3.8 if n = 4

I. 11 − n if n = 6.43

A. n + 2 − 1.04 if n = 1.07

O. 6.8 − 1.07 + n if n = 2.5

N. 7.3 + n − 1.5 if n = 3

Ice cream cones have been popular forabout a hundred years. The first patent toproduce ice cream cones was granted in1904. To whom was this patent granted?

Answer:

3.288.88.234.572.151.630.72.030.899

8.231.92.037.214.57


Hold on to Your Hat!Evaluating Equations

with Decimals—Multiplication and Division

23

Name Date

To answer the question, evaluate the expressions. Write theletter of each expression in the space above its answer. (Someletters will be used more than once. One letter will not be used.)

A. n × 1.4 if n = 0.9

N. 7.4 ÷ n if n = 2

R. n × 0.04 if n = 84

O. n ÷ 4.5 if n = 9

G. n × 4.9 if n = 65

W. 6 ÷ n if n = 0.15

H. 2.6 × n if n = 0.7

I. n ÷ 5 if n = 8.5

S. 7.23 ÷ n if n = 0.3

U. 5.6 × n if n = 0.32

M. n ÷ 2.5 if n = 0.75

T. 8.8 × n if n = 6.4

The highest point in the Northeast is inNew Hampshire. This is also one of thewindiest places on our planet. What isthe name of this place?

Answer:

3.7256.32318.53.71.71.8224.11.2640

56.323.71.79220.3


24

Name Date

Exploring UndergroundEvaluating

Expressions withFractions—Addition

and Subtraction

To answer the question, evaluate the expressions. (Remember to simplify.) Write the letter of each expression in thespace above its answer. (Some letters will be used more than once.)

R. + n if n =

E. + n if n =

B. − n if n =

S. 3 + n if n =

C. 7 − n if n = 3

L. − n if n =

N. n + if n =

V. 4 + n if n =

D. n − 4 if n = 5

A. n + 1 if n = 5 12

12

56

16

710

110

110

710

15

45

38

78

13

23

712

1112

18

38

59

29

The deepest cave in the United Statesis part of an extensive system of cavesin a southwestern state. What is thename of this system of caves?

Answer:

4 12 7 7

935 4 1

3 7 1 23

4 12 7 4 4

512

79

45 4


Born on the Fourth of JulyEvaluating

Expressions withFractions—Multi-

plication and Division

25

To answer the question above, evaluate each expression. (Remember to simplify.)Then write the corresponding letter on the line above its matching answer. (Someletters will be used more than once.) The first one has been done for you.

E. n ÷ if n =

A. n × if n =

I. × n if n =

D. 6 ÷ n if n = 3

C. n ÷ 1 if n = 3

G. ÷ n if n =

N. × n if n =

L. 3 × n if n = 2

V. n × 1 if n = 3

O. 4 ÷ n if n = 1 14

34

13

14

12

12

38

712

34

58

23

12

34

23

29

34

56

35

47

12

Name Date

One American president was bornon the Fourth of July. Who was he?

2 49

12 8 3

4 4 16

16

732 2 4

9 3 45 3 4

5 8 34

16 1 7

956 1 1

7

E

1 17

Answer:


26

Name Date

Grab Your UmbrellaSolving Equationswith Decimals—

Addition andSubtraction

To answer the question, solve the equations. Write the letter of the problem in the space above its answer. (Some letterswill be used more than once. Some letters will not be used.)

I. 6.7 + n = 25.6

O. n + 9.4 = 83

L. n − 0.45 = 8.85

V. n + 9.5 = 92.4

U. 7.3 + n = 14.02

M. n − 14.9 = 7.34

E. n − 0.85 = 3.6

S. n − 2.8 = 1.8

W. n − 45.6 = 0.18

N. 47.8 + n = 60.1

T. n − 54.3 = 3.57

A. n + 7.04 = 8.86

If you ever visit this place in Hawaii,be sure to bring your umbrella. It rainsthere about 350 days each year. Whatis the name of this very rainy place?

Answer:

4.459.31.824.459.31.8218.91.8245.78

57.8712.36.7273.622.24


Turn on the RadioSolving Equationswith Decimals—

Multiplicationand Division

27

Name Date

To answer the question, solve the equations. Write the letterof the problem in the space above its answer. (Some letterswill be used more than once. One letter will not be used.)

E. n ÷ 6 = 0.87

N. n ÷ 8 = 5.4

R. 36 × n = 10.08

I. n × 0.04 = 0.152

O. n ÷ 0.05 = 60

M. n × 25 = 0.1

A. 5 × n = 5.25

U. n ÷ 23 = 3.1

H. n ÷ 2.6 = 1.8

G. n ÷ 0.35 = 6.2

L. 6.03 × n = 21.708

C. n ÷ 0.25 = 6.4

In 1899, the first international radio signalswere transmitted across the English Channelfrom England to France. Who was the manwho transmitted these signals?

Answer:

3.843.231.60.281.050.004

30.0043.65.223.83.62.1771.32.17


28

Name Date

It’s a Gusher!Solving Equationswith Fractions—

Addition andSubtraction

To answer the question, solve the equations. (Remember to simplify.) Write the letter of the problem in the space above its answer.(Some letters will be used more than once. One letter will not be used.)

I. n − =

E. n + =

S. + n =

U. n − =

A. n − =

V. n + = 1

R. n + 5 = 7

L. n − 2 = 1

T. n − 6 = 8

Y. n − 2 = 6

P. 7 + n = 11

N. n + 4 = 7 12

16

1415

13

58

18

47

37

15

12

38

38

18

13

35

112

512

78

58

79

29

511

311

Oil is an important fuel. It is also an importantpart of products such as plastics, paints, buildingmaterials, and even clothing. The first successfuloil well was drilled in the United States in 1859.Where was this well located?

Answer:

,15 8

11 15 12

14 1 1

4811 3 7

10 3 710

59

4 35

59 3 1

3 3 13

14 8 3

4 3 710 1 1

41415 3 1

3811

1415


Tarzan!Solving Equationswith Fractions—

Multiplication andDivision

29

Name Date

To answer the question, solve the equations.(Remember to simplify.) Write the letter of the problemin the space above its answer. (Some letters will be usedmore than once.)

A. × n =

O. n ÷ =

I. n ÷ 3 =

H. n × = 6

U. n ÷ =

G. 4 × n = 2

S. n × 2 = 4

D. n ÷ = 4

R. n ÷ 1 = 3

B. n ÷ 4 = 1

E. n ÷ 2 = 10

C. 3 × n = 8 34

12

12

13

15

23

45

14

56

34

38

23

56

34

23

14

12

15

215

15

One of the best-known characters in Englishfiction is Tarzan, who was created in 1914. Sincethen, Tarzan has starred in stories, movies, andon TV. Who was the creator of Tarzan?

Answer:

24 12 3 1

337

23 4 3

4

5 35

58 4 3

4 4 34

110

58

37 9 2

4 34

34 2 1

2 24 12


30

Name Date

Home, Sweet HomeSolving Inequalities

with WholeNumbers

To answer the question, solve the inequalities. Foreach problem, four possible answers are given. Circleall answers that make each inequality true. When youare done, write the letters in order in the spaces.

3 + n > 14

R. 4

B. 12

T. 10

I. 13

n − 6 < 3

H. 9

E. 10

O. 8

U. 12

n ÷ 4 > 6

S. 28

E. 24

C. 20

P. 32

3n > 26

D. 8

M. 7

K. 3

H. 9

2n ÷ 4 > 3

E. 10

L. 6

T. 2

R. 8

4(n + 5) < 33

H. 4

S. 5

E. 3

I. 6

6

5

4

3

2

1

Although our planet is big, all life exists in arelatively narrow band of land, sea, and sky.This part has the conditions life needs tosurvive. What is this part of Earth called?

Answer:


Time for Reading Solving Inequalitieswith Decimals

31

Name Date

To answer the question, solve the inequalities. For eachproblem, four possible answers are given. Circle the answerthat makes the inequality true, then write the letter of eachanswer in the space above its problem number.

n + 2.1 > 3.5

R. 0.857

B. 1.34

S. 1.5

C. 0.2

n − 0.35 < 7.04

E. 27.4

A. 7.19

I. 7.635

T. 12

4n > 12.25

J. 2.96

M. 0.4

T. 0.254

L. 3.3

n ÷ 2 < 0.32

R. 1.6

G. 4

J. 0.8

I. 0.6202

n − 0.38 < 1.01

W. 2.0

R. 1.9

S. 1.2

K. 3

2.75n < 8.25

B. 2.9

E. 3.05

L. 3

H. 4.1

14.05 + n > 15

M. 0.364

U. 0.96

V. 0.906

J. 0.205

n ÷ 6 > 0.38

D. 1.26

A. 0.96

K. 1.6

R. 2.4

n + 0.03 > 1.037

S. 0.304

W. 1.0038

E. 1.0065

Y. 1.008

9

8

7

6

5

4

3

2

1

The first library for childrenin the United States opened inConnecticut in 1803. In whattown was this library located?

Answer:

987654321


Answer:

13121110987654321

32

Name Date

Alive and Well Solving Proportions

To answer the question, solve each proportion. Find your answersin the Answer Box, then write the letter of each answer in thespace above its problem number. (Some letters will be used morethan once. Some letters will not be used.)

=

n =

=

n =

=

n =

=

n =

=

n =

=

n =

=

n =

=

n =

=

n =

=

n =

=

n =

=

n =

=

n =

43

20n

13

n30

1015

12

16n

4025

11

n33

622

10

14

n36

9

4n

615

8

n60

512

7

9n

327

6

2410

n5

5

19

9n

4

48

n16

3

930

3n

2

n20

25

1

Your body is composed ofindividual cells all workingtogether to keep you aliveand help you to grow.About how many cellsmake up the human body?

Answer Box

Y. 12

I. 10

L. 9

B. 18

F. 8

M. 36

O. 20

N. 15

T. 81

R. 25


Big Water Solving Proportions

33

Name Date

To answer the question, solve each proportion.Find your answers in the Answer Box, thenwrite the letter of each answer in the spaceabove its problem number. (Some letters willbe used more than once. Some letters will notbe used.)

=

n =

=

n =

=

n =

=

n =

=

n =

=

n =

=

n =

=

n =

=

n =

=

n =

=

n =

=

n =

36

2.5n

12

28n

74

11

n6

3.57

10

1015

n36

9

35

n25

8

2.67.8

21n

7

n32

912

6

n28

2112

5

1.53.5

9n

4

8n

1.42.1

3

832

4n

2

n15

35

1

The largest body of fresh water that liesentirely in the United States is 306 mileslong and 118 miles wide. What is thename of this body of water?

Answer Box

K. 12

H. 15

I. 24

M. 49

L. 9

S. 10

N. 5

U. 25

C. 63

G. 3

A. 16

E. 21

Answer:

121110987654321


34

Name Date

A Wonderful Land Finding the Percentof a Number

To answer the question, find the percent of each number.Write the letter of the problem in the space above its answer.(Some letters will be used more than once.)

L. 50% of 80 = n

n =

W. 65% of 120 = n

n =

G. 25% of 36 = n

n =

U. 36% of 150 = n

n =

A. 5% of 160 = n

n =

D. 75% of 96 = n

n =

O. 8% of 52 = n

n =

E. 80% of 65 = n

n =

I. 125% of 84 = n

n =

R. 28% of 72 = n

n =

T. 110% of 98 = n

n =

S. 35% of 75 = n

n =

C. 130% of 80 = n

n =

N. 54% of 116 = n

n =

H. 150% of 100 = n

n =

Most people are familiar with the storyAlice’s Adventures in Wonderland, writtenby Lewis Carroll. Many do not realizethat Lewis Carroll was not the author’sreal name. What was his real name?

Answer:

62.644.1626.259724.16725297210578107.85440

26.25524020.168150104


A Presidential MathematicianFinding the Percent

of a Number

35

Name Date

To answer the question, find the percent of each number. Writethe letter of the problem in the space above its answer. (Someletters will be used more than once. One letter will not be used.)

E. 24% of 76 = n

n =

A. 87% of 102 = n

n =

L. 105% of 212 = n

n =

R. 16.5% of 54 = n

n =

U. 23 % of 96 = n

n =

S. 75% of 88 = n

n =

D. 3% of 118 = n

n =

I. 56 % of 64 = n

n =

J. 48.5% of 104 = n

n =

F. 125% of 50 = n

n =

G. 12.5% of 38 = n

n =

M. 72 % of 80 = n

n =

14

34

14

An American president wroteand published an original proofof the Pythagorean Theorem.Who was this president?

Answer:

3.54222.618.2436.3262.58.9188.744.75

6618.2457.888.7450.44


36

Name Date

Turn Up the HeatFinding What

Percent One NumberIs of Another

To answer the question, find each percent. Write the letterof each problem in the space above its answer. (Some letterswill be used more than once. Some letters will not be used.)

E. n% of 520 = 78

n =

L. 48 = n% of 80

n =

R. 12 = n% of 24

n =

U. 12 = n% of 50

n =

I. n% of 28 = 7

n =

F. 60 = n% of 500

n =

S. 10 = n% of 10

n =

O. n% of 50 = 60

n =

B. 12 = n% of 40

n =

N. n% of 30 = 6

n =

A. n% of 24 = 48

n =

T. 28 = n% of 70

n =

During most winters, the coldestcity in the lower 48 states is inMinnesota. The averagetemperature here is 36.8°F.What is the name of this city?

Answer:

100%60%60%200%12%

60%200%20%120%25%40%200%20%50%15%40%20%25%


A FirstFinding a Number

When a Percent of ItIs Known

37

Name Date

To answer the question, solve eachproblem. Write the letter of the problemin the space above its answer. (Someletters will be used more than once.)

L. 14% of n = 14

F. 50% of n = 30

E. 12 = 40% of n

Z. 42 = 200% of n

O. 15% of n = 24

N. 15% of n = 6

R. 60 = 48% of n

D. 75% of n = 63

G. 125% of n = 100

I. 80% of n = 44

T. 11% of n = 22

B. 3% of n = 12

The first four-function, mechanicalcalculator was built in the late 1600s.Who was its inventor?

Answer:

2155404005530100

8430551256020020016080


38

Name Date

Food for ThoughtSolving Three Types

of PercentProblems

To answer the question, solve each problem.Write the letter of the problem in the spaceabove its answer. Then rewrite the letters fromright to left. (One letter will be used twice.Some letters will not be used.)

R. 150% of 90 = n

C. 30% of n = 9

N. n% of 25 = 40

S. 50% of n = 12

A. 20% of 45 = n

T. 21 = 30% of n

I. 18 = n% of 30

O. 25% of n = 200

M. 17 = n% of 25

When Thomas Jefferson returned from France,where he served as a U.S. ambassador, heintroduced a new food to our country. Whatwas the name of this food?

Answer:

68%9309135800160%60%


ChipsFinding the

Percent of Increaseand Decrease

39

Name Date

To answer the question, first find the increase or decrease, thenthe percent of increase or decrease for each item. Write theletter of each answer in the space above the answer. (One letterwill be used more than once. Some letters will not be used.)

CD $12 $15S A

Hourly Wage $5 $7M N

Math Average 80 70R B

Sneakers $50 $35T O

Bowling Average 125 120L D

Annual Dues $50 $38I G

Potato chips were invented in 1853, butthey were not called potato chips. Theywere named partly after the place in NewYork where they were first created. Whatwere potato chips originally called?

Answer:

Chips25%24%30%$1525%1025%$3

Item Previous Priceor Average

Current Priceor Average

Increase orDecrease

% of Increaseor Decrease


40

Name Date

The Powers of Exponents SimplifyingExponents

To answer the question, find the value of each expression. Writethe letter of the problem in the space above its answer. (Someletters will be used more than once. Some letters will not be used.)

H. 24 =

N. 92 =

E. 73 =

G. 33 =

L. 53 =

M. 28 =

Y. 23 =

D. 35 =

P. 43 =

I. 102 =

F. 62 =

C. 25 =

S. 122 =

A. 05 =

O. 36 =

The largest freshwater fish in the world isfound in Asia. It can grow to be 10 feetlong and weigh as much as 1,600 pounds.What is the name of this fish?

Answer:

1614410036343125243243064

343144343811001632


The Official White HouseSimplifying

Expressions withExponents

41

Name Date

To answer the question, simplify the expressions. Write the letterof each expression in the space above its answer. (Some letterswill be used more than once. Some letters will not be used.)

L. 2(32 + 4) =

D. 8 + (62 ÷ 4) =

E. 9(3 + 23) + 4 =

H. 2(4 + 8) − (52 − 10) =

S. 33 − (42 − 10) =

M. (16 ÷ 22) + (52 − 14) =

R. (4 + 82) − 2(42 − 7) =

T. 6(72 − 62) + (9 − 2) =

U. (3 × 2)2 − (6 − 4)2 =

V. 18 ÷ 32 + (9 − 7)2 =

W. (7 + 32)(16 − 42) =

O. 8(31 + 5) ÷ (1 + 3)2 =

The White House is the home of the Presidentof the United States. It was not always calledthe White House. In the past it has been calledthe Presidential Palace, the President’s House,and the Executive Mansion. Which presidentgave the White House its official name?

Answer:

85261036103214450

103504174103985


42

Name Date

The First VaccineIdentifying

Equations andInequalities with

Exponents

To answer the question, write >, <, or =to make each equation or inequalitytrue. Write the letter beneath the signin the space above the problem number.

5 + 3 32

> < =T E M

42 + 10 2(7 + 5)

> < =D H B

93 9(8 + 9)

> < =W O Y

130 − 5 53 − 1

> < =A K M

(18 + 22) + 8 62

> < =S R A

(52 + 3) ÷ 7 (3 − 1)2

> < =U V D

24 − (8 − 4)2 62 ÷ 4

> < =R J U

36 ÷ (22 + 2) 2 × 3

> < =N J E

26 − 2 82 − 6

> < =N D C

5(9 − 32) 37

> < =R N L

122 2 × 23 × 9

> < =I F E

(5 − 3)3 (8 − 3)2 102 + 30

> < =R A K

12

11

10

9

8

7

6

5

4

3

2

1

In 1796, an English doctor developed thefirst vaccine. This vaccine preventedsmallpox. Who was this doctor?

Answer:

121110987654321


A Ride in Space Finding the SquareRoot of a Number

43

Name Date

To answer the question, find the square root of each number.Round answers to the nearest tenth if necessary. Find youranswers in the Answer Box, then write the letter of eachanswer in the space above the problem number. (One letterwill be used more than once. Some letters will not be used.)

��49 =

��25 =

��70 =

��71 =

��24 =

��2 =

��56 =

��1 =

��50 =

��9 =10

9

8

7

6

5

4

3

2

1

On June 18, 1983, this astronaut becamethe first U.S. woman to travel in space.What is her name?

Answer:

.10987654321

Answer Box

K. 1.4

A. 5

N. 25

L. 8.4

R. 7.5

S. 7

I. 1

T. 12.5

Y. 4.9

D. 7.1

E. 3

U. 28


44

Name Date

Roll the PressesFinding the

Area of Squaresand Rectangles

To answer the question, use the figure to find theareas of the squares and rectangles. Write the letterof each problem in the space above its answer.(Some letters will be used more than once.)

Use these formulas: Area of a square = s2

Area of a rectangle = l × w

H. Area of square ABDC = sq ft

E. Area of rectangle EGKC = sq ft

A. Area of square HBFI = sq ft

U. Area of rectangle EFDC = sq ft

T. Area of square EIJC = sq ft

M. Area of rectangle GIJK = sq ft

C. Area of rectangle HBDJ = sq ft

S. Area of rectangle IFDJ = sq ft

The first printing press in theAmerican colonies was set up in 1639.In what state was this press located?

Answer:

75225225907530040010025757525135

|6 ft|

|9 ft|

15 ft

5 ft |5 ft|

A H B

F

DK J

G IE

C


The Biggest Sleepyhead Finding the Areaof Triangles

45

Name Date

To answer the question, find the area of each triangle.Write the letter of the triangle in the space above its area.When you are done, reverse the letters. (One letter willbe used more than once. Some letters will not be used.)

Use this formula: Area of a triangle = bh12

S.

b = 10 ft h = 12 ft

A = sq ft

O.

b = 16 fth = 18 ft

A = sq ft

J.

b = 24 fth = 6 ft

A = sq ft

R.

b = 2 fth = 12 ft

A = sq ft

L.

b = 20 fth = 16 ft

A = sq ft

T.

b = 14 fth = 9 ft

A = sq ft

K.

b = 16 fth = 6 ft

A = sq ft

A.

b = 8 fth = 22 ft

A = sq ft

E.

b = 16 fth = 7 ft

A = sq ft

Averaging about 22 hours of sleep each day,this animal is considered to be the sleepiestof all animals. What is this sleepy animal?

Answer:481448816088


46

Name Date

Pick a Book of Your ChoiceFinding the Area

of Parallelogramsand Trapezoids

To answer the question, find the areas of the parallelogramsand trapezoids. Write the letter of each problem in the spaceabove its answer. (Some letters will be used more than once.)

Use these formulas: Area of a parallelogram = bh

Area of a trapezoid = (b1 + b2)h12

R.

b = 8 fth = 6 ft

A = sq ft

O.

b1 = 12 ftb2 = 10 fth = 8 ft

A = sq ft

F.

b = 16 fth = 6 ft

A = sq ft

G.

b = 12 fth = 6 ft

A = sq ft

E.

b1 = 6 ftb2 = 10 fth = 8 ft

A = sq ft

C.

b1 = 16 ftb2 = 22 fth = 4 ft

A = sq ft

N.

b1 = 10 ftb2 = 12 fth = 11 ft

A = sq ft

S.

b = 18 fth = 12 ft

A = sq ft

With more than 23,000,000 books, thisU.S. library is the largest in the world.What is the name of this library?

Answer:

Library21621664487212188769688


Sky GazingFinding the Area

and Circumferenceof Circles

47

Name Date

To answer the question, find the area and circumferenceof each circle. Use 3.14 for π. Write the letter of eacharea and circumference in the space above its answer.(Some letters will not be used.)

Use these formulas: Area of a circle = πr2

Circumference of a circle = π d

U. Area = sq units

T. Circumference = units

M. Area = sq units

R. Circumference = units

E. Area = sq units

I. Circumference = units

S. Area = sq units

K. Circumference = units

L. Area = sq units

O. Circumference = units

A. Area = sq units

D. Circumference = units

6

5

4

3

2

1

With a diameter of 640 miles, Ceres is the largestone of these in our solar system. What is Ceres?

Answer:87.9231.462.837.6878.525.12200.96615.44

r =6

r = 14

r = 10

d = 16d = 8

d = 10


48

Name Date

What’s in the Fridge? Graphing Integerson a Number Line

To answer the question, find the point described in eachproblem on the number line and write it on the spaceprovided next to each problem. Write the letter of the pointin the space above its problem number. (Some of the letterswill be used more than once. Some letters will not be used.)

It is the smallest number that is pictured on the graph.

It is halfway between −1 and +1.

It is 3 units to the right of 0.

It is 3 units to the right of −6.

It is the largest number that is graphed.

It is neither positive nor negative.

It is 4 units to the right of −3.

It is 5 units to the left of +6.

It is 4 units to the left of +3.

It is halfway between −3 and −1.10

9

8

7

6

5

4

3

2

1

In 1851, the first patent for mechanicalrefrigeration was awarded to an Americaninventor. The basic process this man inventedis still used today. What was his name?

Answer:

10987654321

−6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6

J T S N E I O R V H M D G


Fairy Tales FindingAbsolute Value

49

Name Date

To answer the question, write the absolute value of the numbersand complete the number sentences below. Write the letter ofeach problem in the space above its answer. (Some letters will beused more than once. Some letters will not be used.)

D. ⎪+6⎥ =

E. ⎪−8⎥ =

I. ⎪+17⎥ =

C. ⎪+3⎥ =

P. ⎪−14⎥ =

M. ⎪−12⎥ =

B. ⎪0⎥ =

A. ⎪−5⎥ =

H. ⎪+9⎥ =

S. ⎪−16⎥ =

R. ⎪+23⎥ =

U. ⎪−15⎥ =

O. ⎪+14⎥ − ⎪−7⎥ =

K. ⎪−19⎥ − ⎪+17⎥ =

G. ⎪+52⎥ + ⎪−10⎥ =

W. ⎪+44⎥ + ⎪−9⎥ =

L. ⎪−18⎥ + ⎪6⎥ =

J. ⎪−64⎥ − ⎪10⎥ =

The Grimm Brothers collected and publishedfairy tales, including “Cinderella,” “Rapunzel,”and “Rumpelstiltskin.” What were the fullnames of the Grimm Brothers?

Answer:

and242352122489241753

24235262175361524073554


50

Name Date

Big Wings Comparing Integers

To answer the question, use > or < to make eachnumber sentence true. Write the letter beneaththe sign in the space above the problem number.

−8 +7> <K T

−3 +8> <S O

4 −7> <D L

−2 +5> <R N

0 −2> <S G

+11 −12> <A W

−2 0> <V A

+8 +5> <N P

+5 −6> <L U

11 −15> <R C

−1 0> <O R

−8 +4> <L I

−6 −5> <S G

−2 +2> <C W

0 −3> <A N

+3 −8> <B H

−7 +2> <M S

2 −6> <E A

18

17

16

15

14

13

12

11

10

9

8

7

6

5

4

3

2

1

With a wingspan of nearly 10 feet, thisseabird has the largest wingspan of anybird. What is the name of this bird?

Answer:

1752111616915

13412101838714


Play Ball Adding Integers

51

Name Date

To answer the question, solve each problem. Find your answers in theAnswer Box, then write the letter of each answer in the space above itsproblem number. (Some letters will be used more than once.)

−2 + −3 =

−9 + +9 =

−9 + −7 =

0 + −9 =

+3 + −3 =

+14 + −11 =

−10 + −3 =

−82 + +68 =

−5 + +20 =

+3 + −9 =

−8 + +7 + +5 =

−8 + −8 + +2 =

−56 + +24 =

−89 + +73 =14

13

12

11

10

9

8

7

6

5

4

3

2

1

The first World Series was played in 1903.One of the teams was the Pittsburgh Pirates.What was the name of the other team?

Answer:

1413121110987

654321

Answer Box

T. −9

O. 0

P. −13

G. −6

I. −14

B. −5

S. −16

L. +15

R. +4

N. +3

M. −32


52

Name Date

Top of the Morning SubtractingIntegers

To answer the question, solve each problem. Find your answers in theAnswer Box, then write the letter of each answer in the space above itsproblem number. (Some letters will be used more than once.)

−2 − +3 =

−8 − −8 =

−14 − +2 =

−6 − −8 =

−12 − +8 =

−33 − −18 =

+12 − −4 =

−10 − +10 =

+8 − −8 =

−17 − +4 =

+27 − +30 =

−15 − +8 =

+9 − +7 =13

12

11

10

9

8

7

6

5

4

3

2

1

The place where the morning sun firstshines on the U.S. mainland is in Maine.What is the name of this place?

Answer:

13121110987654321

Answer Box

A. +16

O. 0

N. +2

T. −20

H. −21

I. −23

M. −5

U. −16

K. −15

D. −3


The First Video Game Multiplying andDividing Integers

53

Name Date

To answer the question, solve each problem. Find your answersin the Answer Box, then write the letter of each answer in thespace above its problem number. (Some letters will be usedmore than once. Some letters will not be used.)

−4 × −7 =

−3 × +4 =

+3 × +9 =

−3 × +5 =

−24 ÷ +2 =

+20 ÷ −5 =

+27 × +3 =

−51 ÷ −3 =

+36 ÷ −2 =

−20 × −2 =

−81 ÷ +9 =

−2 × +2 =

+6 × −3 =

+45 ÷ −3 =

−90 ÷ −9 =15

14

13

12

11

10

9

8

7

6

5

4

3

2

1

The first home video game system was producedin 1972. It was black and white and had onlyone game. What company manufactured thisgame, and what was the game called?

Answer:

,

137126982

115104115143

Answer Box

A. −15

V. +40

R. +36

O. −12

G. +10

D. +17

X. −9

Y. −18

M. +27

N. +28

T. +6

S. −4

E. +81


54

Name Date

A Presidential PetUsing All

Operations withIntegers

To answer the question, solve each problem. Findyour answers in the Answer Box, then write theletter of each answer in the space above its problemnumber. (Some letters will be used more than once.)

−7 − +9 =

−20 + −2 =

−8 + +20 =

−8 × 0 =

+8 − +12 =

−9 × +2 =

+28 ÷ −7 =

−4 × +5 =

−10 + +10 =

+8 − −3 =

−8 + +6 =

−8 × −2 =

−12 + +3 =

−36 ÷ −2 =

−60 ÷ −3 =15

14

13

12

11

10

9

8

7

6

5

4

3

2

1

Several presidents have had somewhatunusual pets in the White House. One ofPresident Benjamin Harrison’s pets pulledhis grandchildren around in a cart. Whattype of pet was this, and what was its name?

Answer: ,

7106351113215149

18412

Answer Box

H. −9

A. −20

O. 0

W. −22

G. +16

I. −2

L. +18

K. +12

T. −16

E. −18

D. +20

S. −4

R. +11


Model White HouseSimplifyingExpressions

with Integers

55

Name Date

To answer the question, solve each problem. Writethe letter of the problem in the space above its answer.(One letter is used twice. Some letters will not be used.)

L. +3(+4 − +5) =

W. (−2 + +3)(+7) =

F. (−2)2 =

J. +2 − +3 × +4 + +1 =

N. +4 + +4 ÷ +4 =

S. +7 − +2 × +4 ÷ +2 =

Z. −3 × +4 − +1 × +2 =

R. (+5 × +2) ÷ (+4 + +1) =

I. −2 + +3(+8) =

P. (+3 − +1) ÷ −2 =

H. −(2)2 =

E. +2 + +32 =

T. −(2 + 3)2 =

O. −2(+1 + +4 × +2) =

A craftsman has spent over 40 yearsmaking a 60-foot by 20-foot modelof the White House. What is thename of this man?

Answer:

−3+11+4+22+11+7−14

+5−4−18−9


56

Name Date

Going Solo GraphingOrdered Pairs

To answer the question, find each ordered pair on thediagram. Write the letter of each point in the space aboveits problem number. (Some letters will not be used.)

(2, 3)

(−1, 4)

(0, 0)

(−4, 1)

(−2, −3)

(−3, −2)

(5, 0)

(0, 5)

(3, −4)9

8

7

6

5

4

3

2

1

In 1933, a U.S. pilot made thefirst solo round-the-world flight.What was this pilot’s name?

Answer:

987654321

EL

PY

MI

S

W

O

AT


Let’s Go Biking Writing Rules for T-tables

57

Name Date

To answer the question, write the rule above eachproblem. Find each rule in the Rule Box, then writethe letter of each rule in the space above its problemnumber. (Some letters will be used more than once.)

9

8

7

6

5

4

3

2

1

In 1871, an Englishman built whatmany historians consider to be thefirst true bicycle. What was his name?

Answer:

598736119234

Rule Box

T. y = x − 4

S. y = x + 2

Y. y = −2x

R. y = x

M. y = 2x

L. y = 2x − 1

E. y = 2x + 1

A. y = 3x

J. y = x − 2

12

x y

1 32 43 5

x y−1 −20 01 2

x y

3 94 125 15

x y−1 −30 −21 −1

x y

1 −22 −43 −6

x y−1 −50 −41 −3

x y

4 22 10 0

x y

1 12 33 5

x y

1 32 53 7


58

Name Date

An Inspiring PoemEvaluatingExpressions

with Integers

To answer the question, evaluate each expression. Use thevalues of the variables that follow. Write the letter of eachexpression in the space above its answer. (Some letters willbe used more than once. Some letters will not be used.)

a = −3 b = +2 c = −4 d = −1 e = −5

W. 3a =

U. ac =

R. ec − b =

C. b − c =

O. c + d − e =

I. d(a + c) =

S. a + 2 × e =

L. e ÷ (c + d ) =

N. a2 =

E. c − b ÷ d =

H. −c2 =

T. (e − d )2 =

In 1883, a poem written by Emma Lazaruswas inscribed on the base of the Statue ofLiberty. The poem expresses the author’sbelief that the United States is a haven foroppressed people from other lands. What isthe name of this poem?

Answer:

“ ”−13+12−13−130+10+6−9−2+9−2−16+16


59

The First Dinosaur, page 71. 9, 11, 13

2. 32, 64, 128

3. 20, 15, 9

4. 21, 26, 31

5. 17, 22, 28

6. 9, 3, 1

7. ●●●, ★★★, ●●●●

8. ★★★●●●, ★★★★●●●,★★★★●●●●

9. ★★★, ★★★●●●, ★★★★

Answer: Iguanodon

Lady Inventor, page 81. 18, 21, 24

2. ★★★, ●●●●, ★★★★

3. ●●, ★★●●, ★★★

4. 8, 13, 21

5. ●●●●, ★★★, ●●●●●

6. 2, 2.25, 2.5

7. 36, 49, 64

8. (or ), ,

Answer: Mary Kies

“Happy Birthday to You,” page 9E. 11 M. 18

A. 31 L. 41

U. 16 N. 146

R. 8 I. 15

S. 83 K. 132

P. 19 T. 72

D. 69 Y. 7

H. 6

Answer: Mildred and Patty Hill

Uncle Sam, page 10L. 2 F. 5

T. 7 S. 84

R. 3 Y. 147

U. 72 A. 6

E. 125 O. 33

M. 12 G. 144

N. 243 J. 168

H. 365

Answer: James Montgomery Flagg

310

25

510

12

Wild Weather, page 111. 5 11. 23

2. 10 12. 33

3. 15 13. 16

4. 2 14. 21

5. 4 15. 26

6. 8 16. 31

7. 6 17. 18

8. 14 18. 27

9. 30 19. 36

10. 13 20. 45

Answer: Spearfish, South Dakota

A Speedy Flyer, page 12L. 54 D. 140

U. 8 I. 29

P. 56 E. 336

A. 6 R. 7

F. 147 C. 27

N. 66 W. 72

J. 99 T. 5

S. 4

Answer: spine-tailed swift

Follow the Signs, page 131. −, M 5. −, A

2. ×, A 6. ÷, L

3. ×, U 7. −, O

4. +, N 8. ×, A

Answer: Mauna Loa

A Capital Idea, page 14A. n + 3 E. n ÷ 4

I. n − 6 D. 2n + 1

S. 2n C. 4n − 7

L. n + 8 P. n − 4

M. n − 5 H. 3n − 1

Answer: Philadelphia

A Very Cold Day, page 151. 150 ÷ n

2. n + 25

3. 3n

4. 150 − n

5. 50n

6. 2n + 3

Answer: Vostok

Time for Fun, page 16E. 11 A. 35

M. 21 O. 40

N. 33 R. 3

K. 15 U. 10

C. 0 S. 4

L. 20 P. 6

Answer: Lake Compounce

Iced Tea, Please, page 17L. 6 I. 10

Y. 5 C. 8

A. 4 R. 12

N. 3 D. 11

H. 7 S. 13

E. 2 B. 1

Answer: Richard Blechynden

Watch Your Step, page 18U. 18 R. 16

B. 2 A. 4

L. 8 T. 17

W. 3 F. 42

N. 120 S. 56

H. 5 V. 13

E. 26 G. 30

J. 14 Z. 12

Answer: Angel Falls, Venezuela

A Famous Author, page 19V. n + 4 = 9

T. n − 4 = 9

L. n ÷ 8 = 9

R. 3n = 9

P. (n ÷ 2) + 5 = 9

C. 5n − 6 = 9

N. 3n ÷ 4 = 9

A. 3n − 3 = 9

H. (n + 4) ÷ 2 = 9

E. 3(n + 1) = 9

S. (3n + 3) ÷ 3 = 9

I. n(2 + 1) = 9

Answer: Clive Staples

Answer Key


60

A Sticky Situation, page 20L. 16 − 12 = n

O. 12 − 4 = n

R. 36 ÷ 3 = n

E. 12 + 3 = n

C. 12 ÷ 3 = n

V. 3 × 12 = n

Answer: Velcro

A Big Group, page 211. A 6. O

2. R 7. P

3. T 8. O

4. H 9. D

5. R 10. S

Answer: arthropods

Ice Cream Cones, page 22R. 0.7 T. 7.21

H. 2.15 S. 0.2

L. 1.9 I. 4.57

C. 1.63 A. 2.03

Y. 3.28 O. 8.23

M. 0.899 N. 8.8

Answer: Italo Marchiony

Hold on to Your Hat!, page 23A. 1.26 H. 1.82

N. 3.7 I. 1.7

R. 3.36 S. 24.1

O. 2 U. 1.792

G. 318.5 M. 0.3

W. 40 T. 56.32

Answer: Mount Washington

Exploring Underground, page 24 R. L.

E. N.

B. V. 4

S. 4 D. 1

C. 4 A. 7

Answer: Carlsbad Caverns

12

23

45

13

45

12

35

79

Born on the Fourth of July, page25E. 1 G.

A. N.

I. L. 8

D. 1 V. 4

C. 2 O. 3

Answer: Calvin Coolidge

Grab Your Umbrella, page 26I. 18.9 E. 4.45

O. 73.6 S. 4.6

L. 9.3 W. 45.78

V. 82.9 N. 12.3

U. 6.72 T. 57.87

M. 22.24 A. 1.82

Answer: Mount Waialeale

Turn on the Radio, page 27E. 5.22 A. 1.05

N. 43.2 U. 71.3

R. 0.28 H. 4.68

I. 3.8 G. 2.17

O. 3 L. 3.6

M. 0.004 C. 1.6

Answer: Guglielmo Marconi

It’s a Gusher!, page 28I. R. 1

E. L. 3

S. T. 15

U. Y. 8

A. P. 4

V. 1 N. 3

Answer: Titusville, Pennsylvania

Tarzan!, page 29A. S. 2

O. D. 3

I. R. 4

H. 9 B. 5

U. E. 24

G. C. 2

Answer: Edgar Rice Burroughs

12

37

12

58

35

34

34

13

110

23

13

14

35

1415

34

12

14

710

59

58

811

45

49

16

79

34

16

732

12

56

17

Home, Sweet Home, page 301. B, 12; I, 13

2. O, 8

3. S, 28; P, 32

4. H, 9

5. E, 10; R, 8

6. E, 3

Answer: biosphere

Time for Reading, page 311. S, 1.5 6. B, 2.9

2. A, 7.19 7. U, 0.96

3. L, 3.3 8. R, 2.4

4. I, 0.6202 9. Y, 1.008

5. S, 1.2

Answer: Salisbury

Alive and Well, page 321. 8 8. 10

2. 10 9. 9

3. 8 10. 9

4. 81 11. 10

5. 12 12. 20

6. 81 13. 15

7. 25

Answer: fifty trillion

Big Water, page 331. 9 7. 63

2. 16 8. 15

3. 12 9. 24

4. 21 10. 3

5. 49 11. 16

6. 24 12. 5

Answer: Lake Michigan

A Wonderful Land, page 34L. 40 I. 105

W. 78 R. 20.16

G. 9 T. 107.8

U. 54 S. 26.25

A. 8 C. 104

D. 72 N. 62.64

O. 4.16 H. 150

E. 52

Answer: Charles Lutwidge Dodgson


61

A Presidential Mathematician,page 35E. 18.24 D. 3.54

A. 88.74 I. 36.32

L. 222.6 J. 50.44

R. 8.91 F. 62.5

U. 22.32 G. 4.75

S. 66 M. 57.8

Answer: James Garfield

Turn Up the Heat, page 36E. 15% S. 100%

L. 60% O. 120%

R. 50% B. 30%

U. 24% N. 20%

I. 25% A. 200%

F. 12% T. 40%

Answer: International Falls

A First, page 37L. 100 R. 125

F. 60 D. 84

E. 30 G. 80

Z. 21 I. 55

O. 160 T. 200

N. 40 B. 400

Answer: Gottfried Leibniz

Food for Thought, page 38R. 135 T. 70

C. 30 I. 60%

N. 160% O. 800

S. 24 M. 68%

A. 9

Answer: macaroni

Chips, page 39S. $3 T. $15

A. 25% O. 30%

M. $2 L. 5

N. 40% D. 4%

R. 10 I. $12

B. 12.5% G. 24%

Answer: Saratoga Chips

Note: Named in part for Saratoga Springs,New York

The Powers of Exponents,page 40H. 16 P. 64

N. 81 I. 100

E. 343 F. 36

G. 27 C. 32

L. 125 S. 144

M. 256 A. 0

Y. 8 O. 729

D. 243

Answer: Chinese paddlefish

The Official White House,page 41

L. 26 R. 50

D. 17 T. 85

E. 103 U. 32

H. 9 V. 6

S. 21 W. 0

M. 15 O. 4

Answer: Theodore Roosevelt

The First Vaccine, page 421. <, E 7. <, J

2. >, D 8. =, E

3. >, W 9. >, N

4. >, A 10. <, N

5. <, R 11. =, E

6. =, D 12. >, R

Answer: Edward Jenner

A Ride in Space, page 431. 7 6. 1.4

2. 5 7. 7.5

3. 8.4 8. 1

4. 8.4 9. 7.1

5. 4.9 10. 3

Answer: Sally K. Ride

Roll the Presses, page 44H. 400 sq ft T. 225 sq ft

E. 90 sq ft M. 135 sq ft

A. 25 sq ft C. 100 sq ft

U. 300 sq ft S. 75 sq ft

Answer: Massachusetts

The Biggest Sleepyhead,page 45S. 60 sq ft T. 63 sq ft

O. 144 sq ft K. 48 sq ft

J. 72 sq ft A. 88 sq ft

R. 12 sq ft E. 56 sq ft

L. 160 sq ft

Answer: koala

Pick a Book of Your Choice,page 46R. 48 sq ft E. 64 sq ft

O. 88 sq ft C. 76 sq ft

F. 96 sq ft N. 121 sq ft

G. 72 sq ft S. 216 sq ft

Answer: Library of Congress

Sky Gazing, page 471. Area = 50.24

Circumference = 25.12

2. Area = 113.04Circumference = 37.68



5. Area = 314Circumference = 62.8


Answer: asteroid

What’s in the Fridge?, page 481. −6, J 6. 0, O

2. 0, O 7. 1, R

3. 3, H 8. 1, R

4. −3, N 9. −1, I

5. 6, G 10. −2, E

Answer: John Gorrie


62

Fairy Tales, page 49D. 6 S. 16

E. 8 R. 23

I. 17 U. 15

C. 3 O. 7

P. 14 K. 2

M. 12 G. 62

B. 0 W. 53

A. 5 L. 24

H. 9 J. 54

Answer: Jacob Ludwig Karl, Wilhelm Karl

Big Wings, page 501. <, T 10. >, R

2. <, O 11. <, R

3. >, D 12. <, I

4. <, N 13. <, G

5. >, S 14. <, W

6. >, A 15. >, A

7. <, A 16. >, B

8. >, N 17. <, S

9. >, L 18. >, E

Answer: wandering albatross

Play Ball, page 511. −5 8. −14

2. 0 9. +15

3. −16 10. −6

4. −9 11. +4

5. 0 12. −14

6. +3 13. −32

7. −13 14. −16

Answer: Boston Pilgrims

Top of the Morning, page 521. −5 8. −20

2. 0 9. +16

3. −16 10. −21

4. +2 11. −3

5. −20 12. −23

6. −15 13. +2

7. +16

Answer: Mount Katahdin

The First Video Game, page 531. +28 9. −18

2. −12 10. +40

3. +27 11. −9

4. −15 12. −4

5. −12 13. −18

6. −4 14. −15

7. +81 15. +10

8. +17

Answer: Magnavox, “Odyssey”

A Presidential Pet, page 541. −16 9. 0

2. −22 10. +11

3. +12 11. −2

4. 0 12. +16

5. −4 13. −9

6. −18 14. +18

7. −4 15. +20

8. −20

Answer: goat, Old Whiskers

Model White House, page 55L. −3 R. 2

W. 7 I. 22

F. 4 P. −1

J. −9 H. −4

N. 5 E. 11

S. 3 T. −25

Z. −14 O. −18

Answer: John Zweifel

Going Solo, page 561. W 6. P

2. I 7. O

3. L 8. S

4. E 9. T

5. Y

Answer: Wiley Post

Let’s Go Biking, page 571. y = x + 2 6. y = x − 4

2. y = 2x 7. y = x

3. y = 3x 8. y = 2x − 1

4. y = x − 2 9. y = 2x + 1

5. y = −2x

Answer: James Starley

An Inspiring Poem, page 58W. −9 S. −13

U. 12 L. 1

R. 18 N. 9

C. 6 E. −2

O. 0 H. −16

I. 7 T. 16

Answer: “The New Colossus”

12


Notes

63Practice, Practice, Practice: Algebra Readiness © Muschla & Muschla, Scholastic Teaching Resources

64

Notes


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by Judith A. Muschla and Gary Robert Muschla · In recent years pre-algebra has emerged as a major topic in elementary and middle school mathematics. Not only does pre-algebra prepare