MILLIKEN PUBLISHING COMPMILLIKEN PUBLISHING COMPANY ANY STST. LOUIS, MISSOURI. LOUIS, MISSOURI

MP3443

Bonus

Assessment

Pages!

Reproducibles66 88

SUPPLEMENTSTHE NCTM

STANDARDS

Reproducibles

MP3443 Algebra IAuthor: Sara FreemanEditor: Fran LesserCover Design and Illustration: Cathy TranInterior Illustrations: Yoshi MiyakeInterior Design: Sara FreemanProduction: Linda Price, Sasha GovorovaProject Director: Linda C. Wood

ISBN: 0-7877-0508-XCopyright 2002 Milliken Publishing Company11643 Lilburn Park DriveSt. Louis, MO 63146www.millikenpub.comPrinted in the USA.All rights reserved.

Developed for Milliken by The Woods Publishing Group, Inc.

The purchase of this book entitles the individual purchaser to reproduce copies by duplicating master or by any photocopyprocess for single classroom use.The reproduction of any part of this book for commercial resale or for use by an entireschool or school system is strictly prohibited. Storage of any part of this book in any type of electronic retrieval system isprohibited unless purchaser receives written authorization from the publisher.

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Table of Contents

Math Symbols . . . . . . . . . . . . . . . . . . . . . . 3

Number Properties . . . . . . . . . . . . . . . . . . . 4

Order of Operations I (MDAS) . . . . . . . . . . 5

Exponents . . . . . . . . . . . . . . . . . . . . . . . . . 6

Order of Operations II (PEMDAS) . . . . . . . 7

Evaluating Expressions . . . . . . . . . . . . . . . 8

Writing Equations . . . . . . . . . . . . . . . . . . . . 9

Solving Equations . . . . . . . . . . . . . . . . . . 10

Two-Step Equations . . . . . . . . . . . . . . . . . 11

Equation Word Problems . . . . . . . . . . . . . 12

Graphing Inequalities . . . . . . . . . . . . . . . . 13

Solving Inequalities . . . . . . . . . . . . . . . . . 14

Divisibility Tests . . . . . . . . . . . . . . . . . . . . 15

Greatest Common Factor . . . . . . . . . . . . . 16

Square Roots . . . . . . . . . . . . . . . . . . . . . . 17

Scientific Notation . . . . . . . . . . . . . . . . . . 18

Fractions, Decimals, Percents . . . . . . . . . 19

Percent Problems . . . . . . . . . . . . . . . . . . . 20

Adding & Subtracting Fractions . . . . . . . . 21

Multiplying Fractions . . . . . . . . . . . . . . . . 22

Dividing Fractions . . . . . . . . . . . . . . . . . . . 23

Equations With Fractions . . . . . . . . . . . . . 24

Absolute Value . . . . . . . . . . . . . . . . . . . . . 25

Adding Integers . . . . . . . . . . . . . . . . . . . . 26

Subtracting Integers . . . . . . . . . . . . . . . . . 27

Integer Magic Squares . . . . . . . . . . . . . . . 28

Multiplying Integers . . . . . . . . . . . . . . . . . 29

Dividing Integers . . . . . . . . . . . . . . . . . . . 30

Integer Expressions . . . . . . . . . . . . . . . . . 31

Equations With Integers . . . . . . . . . . . . . . 32

Graphing Vocabulary . . . . . . . . . . . . . . . . 33

Ordered Pairs . . . . . . . . . . . . . . . . . . . . . . 34

Graphing Points . . . . . . . . . . . . . . . . . . . . 35

Scatterplots . . . . . . . . . . . . . . . . . . . . . . . 36

Table of Values . . . . . . . . . . . . . . . . . . . . 37

Graphing Linear Equations . . . . . . . . . . . 38

Slope-Intercept Form . . . . . . . . . . . . . . . . 39

Slope-Intercept Graphs . . . . . . . . . . . . . . 40

Assessment AWhole Numbers . . . . . . . 41

Assessment B

Fractions, Decimals, Percents . . . . . . 42

Assessment CIntegers . . . . . . . . . . . . . 43

Assessment DGraphing . . . . . . . . . . . . 44

Answers . . . . . . . . . . . . . . . . . . . . . . . 4548

Find and circle the name of each symbol in the puzzle. (The words go across and down.)Then write the names by filling in the blanks.

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Name _________________________________ Math Symbols

= __ __ __ __ __ __

< __ __ __ __ __ __ __ __

> __ __ __ __ __ __ __ __ __ __ __

+ __ __ __ __ or __ __ __ __ __ __ __ __

__ __ __ __ __ or __ __ __ __ __ __ __ __

x or __ __ __ __ __

or ) ___

__ __ __ __ __ __ __ __ __

__ __ __ __ __ __ __ __ __ __

% __ __ __ __ __ __ __

: __ __ __ __ (ratio)

| |__ __ __ __ __ __ __ __ __ __ __ __ __

p __ __

^ __ __ __ __ __ __ __ __ __ __ __ __ __

| | __ __ __ __ __ __ __ __

__ __ __ __ __

__ __ __ __ __ __ __ __ __ __

\ __ __ __ __ __ __ __ __ __

el tg tp pm n

td b

s rpi ta vpppar at

g r e a t e r t h a n

i s t o g e t h e s e

a p a r a l l e l q g

e s b e i s s r l u a

p o s i t i v e m a t

e r o l m u n f o r i

r l l t i a u o t e v

p l u s n n r r l r e

e r t e u g p e m o s

n f e e s l y f h o m

d i v i d e d b y t p

i n a n t a t e e h e

c s l e s s t h a n r

u o u s n t i m e s c

l n e q u a l s e d e

a t t e p i m a t h n

r i g h t a n g l e t

Play these tic-tac-toe games witha partner. To earn an X or O fora box, write a sample problemthat supports the statement orexplains the property.

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Name _________________________________ Number Properties

The AssociativeProperty ofMultiplication

(a b) c =a (b c)

The DistributiveProperty

a (b + c) =(a b) + (a c)

Subtractionis notcommutative. For mostnumbers, a b b a.

The IdentityElement forAddition is 0.

a + 0 = a0 + a = a

The sum of anumber and itsopposite(additiveinverse) is 0.

a + a = 0

Division is notcommutative. For mostnumbers, a b b a.

The AssociativeProperty ofAddition

(a + b) + c =

a + (b + c)

The product ofa number andits reciprocal(multiplicativeinverse) is 1. a = 1

Zero is not anidentityelement forsubtraction.

a 0 = a, but0 a a.

TheCommutativeProperty ofAddition

a + b = b + a

The IdentityElement forMultiplicationis 1.

a 1 = a1 a = a

Subtraction isnot associative. For mostnumbers, (a b) c a (b c).

One is not anidentity elementfor division.

a 1 = a, but1 a a.

The DistributiveProperty

a (b c) = (a b) (a c)

Division is notassociative. For mostnumbers, (a b) c a (b c).

TheCommutativeProperty ofMultiplication

a b = b a

The ZeroProperty ofMultiplication

a 0 = 00 a = 0

Division by zerois undefined.

a 0 is undefined

1a

Tip! To remember the CommutativeProperty, think of a commuter train.It takes people back and forth.

Tip! To remember the AssociativeProperty, think of friends. You associatewith different groups of friends.

This problem proves divisionis not associative:

(100 10) 2 100 (10 2)For the left-side problem,you get 10 2 = 5. But forthe right-side problem, you

get 100 5 = 20. 5 20

Complete these number puzzles. Fill in the boxes with the correct operation symbols,choosing from x, , +, and . Each equation should have two different operations. Followthe correct order of operations to check each horizontal problem and vertical problem.

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Name _________________________________ Order of Operations I

18 4 2 = 10

18 4 x 2 = 10

14 x 2 = 1028 10

Wrong!

Right!

Tip

Use the phrase, My Dear Aunt Sally, to remember the order of operationsMultiplication and Division, then Addition and Subtraction.

1. Multiply and divide in order from left to right or from top to bottom.

2. Add and subtract in order from left to right or from top to bottom.

18 4 2 = 10

18 4 x 2 = 10

18 8 = 1010 = 10

6 5 6 = 24

3 24 2 = 15

2 6 2 = 5

= = = =

12 1 10 = 21

5 4 2 = 18

3 9 24 = 3

3 3 3 = 12

= = = =

14 7 16 = 18

A.

B.

Solve the problems. Write the letter above each matching answer to finish the sentences.

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Name _________________________________ Exponents

Remember

1. In the expression 24, 2 is the base and 4 is the exponent.

An exponent tells how many times the base is used as a factor.

2. A number with an exponent of 1 is the number itself. 21

= 2

24

= 2 x 4 = 8

A. 62 = ______

B. 122 = _______

C. 53 = _______

D. 103 = ________

E. 101 = ______

F. 25 = ______

G. 42 = ______

H. 72 = ______

I. 202 = _______

J. 102 = ______

K. 51 = ______

L. 22 = ______

M. 111 = ______

N. 32 = ______

O. 03 = ______

P. 63 = ______

Q. 35 = _______

R. 23 = ______

S. 71 = ______

T. 43 = ______

U. 17 = ______

V. 92 = ______

W. 33 = ______

X. 52 = ______

Y. 112 = ______

Z. 31 = ______

24

= 2 x 2 x 2 x 2 = 16

Wrong!

Right!

___ ___ ___ ___ ___ ___ ___7 243 1 36 8 10 1000

___ ___ ___ ___32 400 81 10

___ ___ ___ ___ ___125 1 144 10 1000

___ ___ ___ ___32 0 1 8

___ ___ ___64 49 10

___ ___64 0

READ 52

AS

POWER. READ 43

AS

OR FOUR TO THE POWER. READ 24

AS

OR FIVE TO THE

.

___ ___ ___ ___ ___ ___7 10 125 0 9 1000

___ ___ ___ ___ ___ ___32 0