22A

1)

x + 1

2X + 1

2X + 1x X + 1

2X + 12X2 + X

2X2 + 3X + 1

')x •• 11 1 ~ 3~~,;t43X + 1

3)x~DX"2X+l)

X+1

X+ 1x X+1

X+1X2 + X

X2 + 2X + 1

4) I I II 2X + 1x X + 5

10X + 5X + 51 II 2X2 + X

2X2 + 11X + 5I II

2X + 15) I IIII

2X + 3x X + 6---

12X + 18X+61 IIII 2X2 + 3X

2X2 + 15X + 18I ""

2X +3

6)X"1 1 1 ~3X + 1

7)x"11 I2X + 5

8) 4X2 + 10X + 4 = 2(2X2 + 5X + 2)

I I II

X+2

2X + 1

3X + 1x X+ 2

6X + 23X2 + X

3X2 + 7X + 2

2X + 5x X+ 2

4X + 102X2 + 5X

2X2+9X+10

2X + 1x X+ 2

4X + 22X2 + X

2X2 + 5X + 2

9) (2X + 3)(X + 3)Drawings for #9-16 are not shown.

The student should continue to build theproblems as illustrated at left.

2X + 3x X + 3

6X + 92X2 + 3X---2X2 + 9X + 9

10) (4X + 1)(X + 2)4X + 1

x X+ 2

8X + 24X2 + X

4X2 + 9X + 2

11) (3X+4)(X+2)3X + 4

x X+ 2

6X + 83X2 + 4X

3X2 + 10X + 8

12) 2(X2 + 7X + 10) = 2(X + 2)(X + 5)X + 2

x X + 55X + 10

X2 + 2X

X2 + 7X + 10

22B

2X + 52) (5X + 2)(X + 3) 5X + 2

x X + 3

15X + 65X2 + 2X

5X2 + 17X + 63)

X+5

2X + 14) (4X + 1)(X + 3) 4X + 1

x X + 3

12X + 34X2 + X

4X2 + 13X + 3

5) 2(X2 + 8X + 15) = 2(X + 3)(X + 5)

2X + 5x X + 1

2X + 52X2 + 5X

2X2 + 7X + 5

2X + 1x X+5

10X + 52X2 + X

2X2 + 11X + 5

9) (2X + 3)(X + 5)The student should continue to

build the problems as illustrated atleft.

2X + 3x X+ 5

10X + 152X2 + 3X

2X2+13X+15

10) 5(X -t 7)(X + 3)X + 7

x X + 3

3X + 21X2 + 7X

X2 + 10X + 21

11) 6(X -t 4)(X + 2)X + 4

x X+ 2

x·,n X+ 1x X+ 2

2X + 2X2 + X 14)

v2 .1. 'lV I I)

X+7

3X + 2

(j)oSo·:l(/)

I\)I\)»I\)I\)OJ

22C

1) (3X+4)(X+1)

X+11 1=1 ~2) (2X + 3)(X + 2)

9)

10)

(2X + 1)(2X + 3)

2X + 1x 2X + 3

6X + 34X2 + 2X

3X + 4 4X2 + 8X + 3

x + 2

11) 82+6-5 = 83

12) AB+C

13) X-3y2X-1y3X5 = Xy5

14) A3A-28182A-4 = A-383

15) 6 x 1,000,000 + 8 x 10,000 + 2 x 1,000+7x1/100=6,082,000.07

16) y = 3/2 X - 1see graph

17) m=3/2(4) = 3/2(0) + bb = 4 'Y = 3/2 X + 4 or 3X - 2Y = -8see graph

2X + 3

3) 2X2 + 8X + 6

X+3

L2X +2

4) 2X2 + 8X + 8

X+2

L2X +4

5) (3X + 4)(X + 3)

6) 3X + 4x X + 3

9X + 123X2 + 4X

3X2 + 13X + 12

7) 4(X2 + 6X + 9) = 4(X + 3)(X + 3)

8) X + 3x X + 3

3X + 9X2 + 3X---X2 + 6X + 9

Y #17..r

III

II

ilI

I••

18) ill2 43 84 16

19) hIS amoeba1 212 223 234 24

20) 6 hours = 26Xhours=2X

#16

X

220

1) (3X + 5)(X + 2)9) (X + 3)(X + 2)

10) X + 3x X + 2

2X + 6X2 + 3X

X2 + 5X + 6

11) C-4+3+0= C-1

12) 85-3= 82

13) 8582C-584C3 = 811C-2

14l 06C-40204COC-2 = C-601215 8 x 104 + 6 X 103 + 9 X 102 + 4 X 10-1

16) Y=2/3X+2see graph

X+21 1 1 I3X + 5

2) 2(2X2 + 5X + 2) = 2(2X + 1)(X + 2)

X+2

2X + 1

3) 3X2 + 9X + 6

X+21 1 1 ~17) m = 2/3

(-3) = 2/3(-3) + bb =-1Y = 2/3 X - 1 or 2X - 3Y = 3 .see graph3X + 3

Y #164) 6X2 + 3X

V

,/V

/'./

,/,/

k"

#17

X2X + 1 I I I

3X

5) (3X + 5)(X + 1) 18) weeks dollars2 $9

6) 3X + 5 3 $27x X + 1 4 $81

3X + 5 5 $2433X2 + 5X

3X2 + 8X + 5 19) weeks dollars1 31

7) (4X + 7)(X + 1) 2 323 33

8) 4X + 7 4 34(f)

X X + 1 5 35 Q.

4X + 7S.

4X2 + 7Xo·

20) 20 weeks = 320 :::JUl

4X2 + 11X + 7 = $3,486,800,000 (May be shown I\)

on your calculator as 3.4868 x 1(9) I\)0

I\)I\)0

2X + 31 1t11

2X +3

2) 2(X2 + 6X + 8) = 2(X + 4)(X + 2)x·,oX+4

3) 2X2 + 4X + 2

x.,[[]2X +2

4) 2X2+14X+20

22E

1) (2X + 3)(2X + 3)

I -r--

--

X+5

I2X + 4

5) (4X + 3)(X + 2)

6) 4X + 3x X + 2

8X + 64X2 + 3X

4X2 + llX + 6

7) (2X + l)(X + 5)

8) 2X + 1x X + 5

lOX + 52X2 + X

2X2 + llX + 5

~~~~

\~i:

~

9)

10)

(X + 3)(X + 1)

x + 3x X + 1

X + 3X2 + 3X

X2 + 4X + 3

11) B2+S-5C 2-5 = S3C-3

12) y5+A

13) 08C-3A-2A007C-2 = A-2C-5015

14) A5o-SA-7C308 = A-2C302

15) 3xl00,000+5xl+2xl/100+8x 1/1000 =300,005.028

16) y = -4/5 X + 2see graph

17) m = 5/4(-2) = 5/4(1) + bb = -13/4Y=5/4X-13/4 or 5X-4Y=13see graph

Y.•..r-,'" II"

V•..... 1/

"V r-,

/ ')

~

IJJtA~

),

(3)

18) day Igrams1234

da rams1 512 523 534 54

19)

20) 8 days = 58Y days = 5Y

X

X-9X2 - 12X + 27

23A

1) (X - 5)(X - 2)

D"""""'.'., ..

X-2

X-5

2) (X - 6)(X - 1)

X-l[]'··.: .....•.....•...,.•,; ,

X-6

3) (X

DI_7)(X_2). X-7

'. x X - 2

X-2 ,." '............ -2X+14.. X2 - 7X

. X2-9X+14X-7

4) (X - 4)(X - 3)

D'·

'·'·,··················,···,······

,.:,< .. , ~ " .

X-3 .

#17 IX-4

5) (X~;~)(~:l),".... •.... X _ 8'. x X-I

X -1 . -X + 8. X2 - 8X

. X2 - 9X + 8X-8

6) (X - 7)(X - 3)

[I....X-7't t . ' x X - 3

X - 3 ,." .. .... , -3X + 21

.r X2 -7X

• X2 - lOX + 21X-7

7) (X - 9)(X - 3)

~

X - 5x X - 2

-2X + 10X2 - 5X

XL 7X + 10

X - 6x X - 1

-X + 6X2-6X

X2 -7X + 6

X - 4x X - 3

-3X + 12X2-4X

X2-7X+12

#16

X-3

X - 9x X - 3

-5X + 27X2-9X

UlI'

8) (X - 5)(X - 6)

9) (X - 9)(X - 10)

10) (X - 11)(X - 3)

11) (X + 7)(X - 3)

01······:·"······.- ....

X-3

X - 5x X - 6

-6X + 30X2-5X

X2-11X+30

X - 9x X - 10-lOX + 90

X2 -9X

X2 - 19X + 90

X - 11x X - 3

-3X + 33X2 - 11X

X2 - 14X + 33

X+7x X - 3

-3X -21X2 + 7X

X2 + 4X - 21X+7

12) (X + 7)(X - 5) Continue to check bymultiplying.

13) (X + 6)(X - 3)

14) (X - 9)(X +4)

15) (2X + l)(X - 5)

X-5

2X + 1

16) (2X - 3)(X + 4)

X +4

(IJos:s::JCJ)

I\lI\lm2X - 3

I\lW»