• WHY ARE MR. AND MRS. NUMBER SO HAPPY? Find the simplest form for each expression below in the adjacent answer column. The letter of the exercise goes in the box that contains the number of the corresponding answer.

x3 3x2 x 2x2.3x

O

0 0 O 0 0



x • x2•x3 x 4( -3x2)

8

2X 2 )( - 2x)

x(—x4)(—x4)





® (3ab)(2a3b) ab(-4ab3) ( —a4b)(-5a2b3)

C) m

(-2a3b)(2ab3) (6a2b2)(-2ab5) (-4ab4)(-3ab4)

0 CO 0 > =1

-1) c Cr "

(u2v)(-6uv2)

- 8u6v4

v(uv2)(u3v)

4 4 U V

0

(4uv)(—u)(2u4v)

- 8U6V2

®

(-3u2)(—u2v2)(2uv)

3 7 U V

©

5a6b4 a3b3 , 1 2a2b8 ® —4a2b4 1 2a3b7 ® —4a4b4 • 6a4b2

•

® (ab2)(a2b)

D

0

—3x6 3x3 x9 x7 x6 4x3 6x3

(—u2)(-6u2v3)(—u3v4) 0 O (-2u)(u2v)(4u3v3) 0 (2u2v3)(2uv4)

6U5V3

(—b2)(9a2b3) (3a2c)(-3bc2) ® c(—ab)(a2b2c2) O (-3a2c)(-3b2c) (—ab)(—b2c2)(—a2b2) ® (a2bc2)(b2c3)(9a)

—a3b5c2 —ab3c2 281 —a3b3c3 9a3b3c5 ® —9a2bc3 —9a2b5

0 0

0

0—

0 ®

(3b2)(3abc)(—c)

-6U3V3

-6u7v7

0

® 9a2b2c2

N N

()

N

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

What Happens to a Dog Who Eats Table Scraps ? OD

rm

Simplify each expression below. Find your answer in the corresponding answer column and notice the letter next to it. Write this letter in the box that contains the number of that exercise.

. ® (X3)2

5 -o

N )>

•

N N

0

(X4)3

(2x2)3 • (-4x3)2 ® (-3x4)3 0 (8X5)2 • (-2x3)5 ® (4x)3 O (-9x)2

0 —3x(2x)2 0 x2(5x3)3 0 —4x2(-4x)2 X(2X2)3

0

1

® 81x2 OT 125x11 —32x15 ® 8x6 ® —64x4

(4a2b3)2 0 (2a4b)3 0 (-5a3b3)2 0 (ab5)3

x6

0 (-8ab4)2 2a(3a2b)2 —b(5a3b)3

0 ®

-12x3

c64x1° ® x 12 ® 64x3 ® 16x6 OI 8x7 OT —27x12

2 3 4 5 6 7 8 9 10 11 12 13

ix.1191

t

(—a2b2)3

0

3ab(2ab2)4 (ab3)2(a2b)3

0

(-2ab2)2(—ab)3

0 (3ab2)(3ab)2 (—a2b)4(—a2b4)

0

—a6b6 —a lobs 16a4b6 a8b9 25a6b6 18a5b2 27a3b4 a3b15 64a2b8 48a5b9 8a12b3 —4a5b7 —125a9b4

14 15 16 17 18 19 20 21 22 23 24 25 26

What Did the Martian Say When * He Accidentally Landed on Venus ?

a)

U)C CC

5x2 + 2x2 — 3x2

5xy2

(5x2)(2x2)( —3x2)

16x6

4x3 + x2 + 4x

3x + 2y

(4x3)(x2) (4x)

7x2y — 2xy2

— 3x3 + 5x2 — 3x3

4x2

( — 3x3)(5x2)( — 3x3)

4x3 + x2 + 4x

3x + 2y

45x8

(3x) (2y)

— 14x3y3

7xy2 — 2xy2

— 30x6

(7xy2) ( — 2xy2)

— 14x2y4

7x2y —

0

2xy2

6xy

( 7x2y) ( — 2xy2)

— 6x3 + 5x2

(1) (3a)(a2)(a3) + (2a2)(a4)

— 2a5b5

O T

13a3b

(a4)(5a)(a2) + ( — 4a3)(2a3)(a)

— 3a7

® (2a 3 )(a2 )(3a2) + (8a 2 )( —a2)(a)

OD (5a 2)(2ab)

+ (a2b)(3a)

0

0

0

(2ab 2)(— 2a 2b2) — (ab3)(6a2b)

— 10a3b4

O

(—a2b)(ab2)(a 2b2) + (a3b2)(—a2b3)

5a6

O P (4a 2b 2 )(-3b3 ) — (2ab 2)( — 6ab3)

2

3

6a 7 — 8a5

4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19

ALGEBRA WITH PItZAZZ! OBJECTIVE 1—g: To add, subtract, or multiply monomials (review).

0 Creative Publications

65

• cn Why Couldn't the Chicken Find Her Egg ? Simplify each expression and find your answer below. Cross out the box containing your answer. When you finish, there will be six boxes not crossed out. Print the letters from these boxes in the squares at the bottom of the page.



0 0(_ 0 0( 0 (



(4xy2)(x3y)2

(4x2y) (2xy2) x2 ( 3xy) ( xy4) (- 4x 3y) ( x 2y2) (y)



x4y)(3xy 3 ) 2







0-

(6x2) (2x)3

(2x) 4( - x 2) ( -y)2 -3x2y2)(- 3xy)

2



3 x2y)2 (xy2)4

(-3x2y)3

0

(7x6y4)(x3y2)2

_xy)2( _xy2)

(5xy3) 2

(-1)3(5x2y)3

•(



(5X2Y)2(2XY3)



0

@ 7)6/4 + (x3y2)2

0 x (xy

2

2x2)3( - y)5

3)2 + y2(x2y2)2

IX

SH

EL

EE

OW

EM

7x1 2 8

7x10y8

-x3y4

2x4y6

8x3y3

16x4y3

3x8y1

GG

IS

OS

YO

AT

LK

LA

TE

844

-443

50x5y5

48x5

845

4x7y4

448

-12543

SD

TH

ID

LO

QU

IT

ST

EN

25x2y6

-947

-x5y8

- 27x4y4

3x4y5

3x7y12

-1642

-2743

IT

TH

-4x5y4

1,

11"=10/0444414-)S

0

°IL".11.0114901$00104=-*



Why Are Babies Like Hinges ? Simplify each expression below and find your answer in the set of answers to the right of that exercise. Write the letter of your answer in the box that contains the number of that exercise.

n9

O2n4

n5

n 12

6n2

n3

® 3n5

x3y4

r; —8x6y2 O 2x3y2

8xy2 O 12x3y5 20x3y8 0 —5x3y

3a5b2

—24a2b

(7:\

x2y

9a2b5 - 15a2b9

18ab5 30a9b2

2a6b2

—3ab

8

uv

4 10

15

— 2u2v8 uv3

® 2n3 • 2n6 ® n 9 10 n4 r\-, 23 (i-Q 2 n n

6

0 — 4x 0 —4y4 3

O

0

®

a3

O 3b3

—7uv3

0

V 6

(-,84

3(.16

—6u2v6

O

2

14k9m3

—3k5m6

®

—3k

2km3

k4m3

2v4

© 7e OO

15a2 15a3

—4u2v2 —4u7v2

26u 7 v

16k5m3

OA

® —7uv5 ®

—9u8v2

20 12km3 —4m3

2 3xy4

3x 2y3 0 5ab8 ® 5ab6 4a 3b4

xy3

—4y7

2

13u7v7 (-)

4k2m2

O

1

4k3m

®

7k6m

OR —3km3 1 4km2

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

76

ALGEBRA WITH PIZZAZZ! © Creative Publications

OBJECTIVE 3—a: To divide monomials.

.00 Why Was the Engineer ••• 4#11. Driving the Train Backwards ? Oh, Find the missing factor in each exercise below. Find your answer in the set of answers to the right of that exercise. Write the letter next to your answer in the box containing the number of that exercise.

0® 24x = (6x2)( x8 = (x8) ( 5

0 — 5X5

0 —12x 4 = (3x3)( • 20x 7 = (-4x2)(

0

a 5 b 8 = (a2b3)(

0

0 —12a2b4 —1 b 0 5a5b3 2a8

2ab7

O

5

— 6U3V12 =

(2uv)(

9

14

ALGEBRA WITH PIZZAZZ!

© Creative Publications

®

2X7

®

—2X6Y x 2y4

3x2y8 ® 3x2y3 x3y3 0 3y2

®

—3u2v4 © _3u2v1i

® —2uv6 • 11v2 • 11uv3 TO —3u2v

0 121u 2 v 3 = (11u2v)(

78

® a3b5

0 —3y4

(u2v)(

1

—5x3

OO 2ab4

0 32uv v= =( —16v2)( 12

®

•

—6x 2y7 = (-2y)( 14x9y 6 = (-7x2y6)( 27x 4y3 = (9x4y)(

0

13

0 5a3b3

x5y3 = (x2)(

—3u 4 2

®

0 a2b2

® 4a 2 b 8 = (2ab2)( 0 —15a 7 b 4 = (-3a4b)( 0 72a 1 °b 3 = (-6a5b2)(

0

® x8 OO 4x3 ® — 4x8 0 —4x

0 4x5

4

11

2

16

6

15

3u2v8 00 —2uv3

10

13

3

7

5

OBJECTIVE 3—c: To find a missing factor of a monomial.