25 A 1
This document was uploaded by user and they confirmed that they have the permission to share it. If you are author or own the copyright of this book, please report to us by using this DMCA report form. Report DMCA
Overview
Download & View 25 A 1 as PDF for free.
More details
- Words: 251
- Pages:
!PPLY THE $ISTRIBUTIVE 0ROPERTY 'OAL + !PPLY THE DISTRIBUTIVE PROPERTY
9OUR .OTES
6/#!"5,!29 %QUIVALENT EXPRESSIONS /ÜÊiÝ«ÀiÃÃÃÊÌ >ÌÊ >ÛiÊ Ì iÊÃ>iÊÛ>ÕiÊvÀÊ>ÊÛ>ÕiÃÊvÊÌ iÊÛ>À>Li $ISTRIBUTIVE PROPERTY Ê«À«iÀÌÞÊÕÃi`ÊÌÊv`ÊÌ iÊ «À`ÕVÌÊvÊ>ÊÕLiÀÊ>`Ê>ÊÃÕÊÀÊ`vviÀiVi 4ERMS / iÊ«>ÀÌÃÊvÊ>ÊiÝ«ÀiÃÃÊÌ >ÌÊ>ÀiÊ>``i`Ê Ì}iÌ iÀ #OEFFICIENT / iÊÕLiÀÊ«>ÀÌÊvÊ>ÊÌiÀÊÜÌ Ê>Ê Û>À>LiÊ«>ÀÌ #ONSTANT TERM ÊÌiÀÊÌ >ÌÊ >ÃÊ>ÊÕLiÀÊLÕÌÊÊ Û>À>LiÊ«>ÀÌ ,IKE TERMS /iÀÃÊÌ >ÌÊ >ÛiÊÌ iÊÃ>iÊÛ>À>LiÊ«>ÀÌÃ
4(% $)342)"54)6% 02/0%249 ,ET A B AND C BE REAL NUMBERS !LGEBRA
.UMBERS
AB zC zAB Ê >VÊ
z zÊ {Ó®Ê zÊ {ήÊ
B zC A zBA Ê V>Ê
z zÊ ÎÓ®Ê zÊ xÓ®Ê
AB zC zAB Ê >VÊ
z zÊ Çx®Ê zÊ ÇήÊ
B zC A zBA Ê V>Ê
z zÊ È®Ê zÊ {®Ê
,ESSON s !LGEBRA .OTETAKING 'UIDE
#OPYRIGHT Ú -C$OUGAL ,ITTELL(OUGHTON -IFFLIN #OMPANY
9OUR .OTES
%XAMPLE
!PPLY THE DISTRIBUTIVE PROPERTY
5SE THE DISTRIBUTIVE PROPERTY TO WRITE AN EQUIVALENT EQUATION
"E SURE TO DISTRIBUTE THE FACTOR OUTSIDE OF THE PARENTHESES TO ALL OF THE NUMBERS INSIDE THE PARENTHESES
3OLUTION A A z Ê {>ÊÊ£ÓÊ B A z Ê È>ÊÊÎäÊ C X z Ê ÎÝÊÊÓ{Ê D zX X Ê {ÝÊÊÝ ÓÊ
%XAMPLE
$ISTRIBUTE A NEGATIVE NUMBER
5SE THE DISTRIBUTIVE PROPERTY TO WRITE AN EQUIVALENT EQUATION
5SE THE DISTRIBUTIVE PROPERTY TO COMBINE LIKE TERMS WITH VARIABLE PARTS 9OUR EXPRESSION IS SIMPLIFIED IF THERE ARE NO GROUPING SYMBOLS AND ALL LIKE TERMS ARE COMBINED
3OLUTION A X z
Ê ÎÊ Ê Î®Ê X
Ê Ó£ÊÊÎÝÊ
$ISTRIBUTE Ê ÎÊ Ê -«vÞÊ
B A A Ê Ó>Ê AÊ Ó>Ê
$ISTRIBUTE Ê Ó>Ê
Ê £Ó>ÊÊÓ>ÓÊ
Ê -«vÞÊ
#HECKPOINT 5SE THE DISTRIBUTIVE PROPERTY TO WRITE AN EQUIVALENT EQUATION
N
A A
Ê xÊÊÓäÊ
Ê Î>ÊÊ>ÓÊ
Ê
%XAMPLE
#OPYRIGHT Ú -C$OUGAL ,ITTELL(OUGHTON -IFFLIN #OMPANY
,ESSON s !LGEBRA .OTETAKING 'UIDE
9OUR .OTES
%XAMPLE
)DENTIFY PARTS OF AN EXPRESSION
)DENTIFY THE TERMS LIKE TERMS COEFFICIENTS AND CONSTANT TERMS OF THE EXPRESSION X X 3OLUTION Ê ÓÝÊÊx®ÊÊnÝÊÊÎ®Ê Ê Ê
7 RITE THE EXPRESSION AS A SUM
4ERMS
,IKE TERMS
Ê ÓÝ]Êx]ÊnÝ]ÊÎÊ
Ê ÓÝ]ÊnÝÆÊx]ÊÎÊ
#OEFFICIENTS
#ONSTANT TERMS
Ó]ÊnÊ
Ê x]ÊÎÊ
#HECKPOINT )DENTIFY THE TERMS LIKE TERMS COEFFICIENTS
AND CONSTANT TERMS OF THE EXPRESSIONS A A Ê
Ê /iÀÃ\Ê£ä]ÊÎ>]Ê{]ÊÈ>
Ê
Ê iÊÌiÀÃ\Ê£ä]Ê{ÆÊÎ>]ÊÈ>
Ê
Ê ivvViÌÃ\ÊÎ]ÊÈ
Ê
Ê ÃÌ>ÌÊÌiÀÃ\Ê£ä]Ê{Ê Ê Ê Ê Ê
Y Y
(OMEWORK
/iÀÃ\ÊÇÞ]Ê££]Ê{Þ]Ê£Ê
Ê
Ê iÊÌiÀÃ\ÊÇÞ]Ê{ÞÆÊ££]Ê£
Ê
Ê ivvViÌÃ\ÊÇ]Ê{
Ê
Ê ÃÌ>ÌÊÌiÀÃ\Ê££]Ê£
,ESSON s !LGEBRA .OTETAKING 'UIDE
#OPYRIGHT Ú -C$OUGAL ,ITTELL(OUGHTON -IFFLIN #OMPANY
