23 A 1
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3UBTRACT 2EAL .UMBERS 'OAL + 3UBTRACT REAL NUMBERS 35"42!#4)/. 25,%
9OUR .OTES
7ORDS 4O SUBTRACT B FROM A ADD THE Ê ««ÃÌiÊ OF B TO A !LGEBRA
A B Ê >Ê Ê L®Ê
.UMBERS zzzÊ £xÊ zzÊ Ç®Ê
%XAMPLE
3UBTRACT REAL NUMBERS
&IND THE DIFFERENCE Az zÊ {®Ê zÊ £{Ê B zÊ ££Ê Ê Ê Ó{Ê
%XAMPLE
%VALUATE A VARIABLE EXPRESSION
%VALUATE THE EXPRESSION A B WHEN A AND B 3OLUTION A B z Ê È°xÊ Ê Î®Ê z 3UBSTITUTE VALUES
zÊ È°xÊ Ê ÎÊ z
!DD THE OPPOSITE OF Ê ÎÊ
Ê £{°nÊ
!DD
#HECKPOINT &IND THE DIFFERENCE
z Ê
Ê £ÓÊ
,ESSON s !LGEBRA .OTETAKING 'UIDE
Ê Ê
#OPYRIGHT Ú -C$OUGAL ,ITTELL(OUGHTON -IFFLIN #OMPANY
9OUR .OTES
#HECKPOINT %VALUATE THE EXPRESSION WHEN M
AND T z M zT z Ê
ÊÊ °ÓÊ
%XAMPLE
M z zT Ê {°Ó
%VALUATE CHANGE
(IKING 4RAIL ! SIGN AT THE START OF A HIKING TRAIL STATES YOU ARE FEET BELOW SEA LEVEL !T THE END OF THE TRAIL ANOTHER SIGN STATES YOU ARE FEET ABOVE SEA LEVEL &IND THE CHANGE IN ELEVATION OF THE TRAIL 3OLUTION 3TEP 7RITE A VERBAL MODEL OF THE SITUATION
%LEVATION AT #HANGE IN %LEVATION AT z ELEVATION Ê ÃÌ>ÀÌÊ OF TRAIL Ê i`Ê OF TRAIL
3TEP &IND THE CHANGE IN ELEVATION
#HANGE IN Ê nnäÊ Ê ÎÓä®Ê 3UBSTITUTE VALUES ELEVATION
Ê nnäÊ Ê ÎÓäÊ
DD THE OPPOSITE ! OF Ê ÎÓäÊ
z z
Ê £ÓääÊ
!DD Ê nnäÊ AND Ê ÎÓäÊ
4HE CHANGE IN ELEVATION IS Ê £ÓääÊ FEET
#HECKPOINT #OMPLETE THE FOLLOWING EXERCISE
(OMEWORK
)N THE MORNING THE TEMPERATURE WAS & )N THE AFTERNOON THE TEMPERATURE WAS & 7HAT WAS THE CHANGE IN TEMPERATURE Ê
Ê Ó{
#OPYRIGHT Ú -C$OUGAL ,ITTELL(OUGHTON -IFFLIN #OMPANY
,ESSON s !LGEBRA .OTETAKING 'UIDE
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