7RITE %XPRESSIONS
'OAL + 4RANSLATE VERBAL PHRASES INTO EXPRESSIONS
9OUR .OTES
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6ERBAL MODEL ˜ÊiÝ«ÀiÃȜ˜Ê̅>ÌÊ`iÃVÀˆLiÃÊ>Ê
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2ATE ÊÊvÀ>V̈œ˜Ê̅>ÌÊVœ“«>ÀiÃÊÌܜʵÕ>˜ÌˆÌˆiÃÊ
“i>ÃÕÀi`ʈ˜Ê`ˆvviÀi˜ÌÊ՘ˆÌÃÊ
5NIT RATE ÊÊÀ>ÌiÊ«iÀʜ˜iÊ}ˆÛi˜Ê՘ˆÌ
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/PERATION
6ERBAL 0HRASE
%XPRESSION
!DDITION
Ê
4HE Ê ÃÕ“Ê OF AND
A NUMBER N
Ê ÎÊʘz
! NUMBER X Ê «ÕÃÊ ÊÊ
Ê ÝÊÊ£äÊ
4HE Ê `ˆvviÀi˜ViÊ OF Ê ÇÊÊ>Ê
3UBTRACTION
/RDER IS IMPORTANT
WHEN WRITING
SUBTRACTION
AND DIVISION
EXPRESSIONS
Ê
AND A NUMBER A
Ê ÝÊÊ£ÓÊ
Ê
4WELVE Ê iÃÃÊ THAN
A NUMBER X
-ULTIPLICATION
&IVE Ê Ìˆ“iÃÊ A NUMBER Y Ê xÞÊ
Ê
4HE Ê «Àœ`ÕVÌÊ OF AND A NUMBER N
Ê Ó˜Ê
$IVISION
Ê
4HE Ê µÕœÌˆi˜ÌÊ OF A
NUMBER A AND Ê>Êz
]
ÊÈ
Ê
Ê
%IGHT Ê `ˆÛˆ`i`Ê INTOÊ
A NUMBER Y
ÊÞ
Ê Êz
]
Ên
Ê
#OPYRIGHT Ú -C$OUGAL ,ITTELL(OUGHTON -IFFLIN #OMPANY
Ê
Ê
,ESSON s !LGEBRA .OTETAKING 'UIDE
9OUR .OTES
%XAMPLE 4RANSLATE VERBAL PHRASES INTO EXPRESSIONS
4RANSLATE THE VERBAL PHRASE INTO AN EXPRESSION
4HE WORDS hTHE
QUANTITYv TELL YOU
WHAT TO GROUP WHEN
TRANSLATING VERBAL
PHRASES
6ERBAL 0HRASE
%XPRESSION
A LESS THAN THE QUANTITY
TIMES A NUMBER X
Ê nÝÊÊÈÊ
B TIMES THE SUM OF AND A NUMBER A
Ê Ó­xÊÊ>®Ê
C 4HE DIFFERENCE OF AND
THE CUBE OF A NUMBER N
Ê £ÇÊʘÎÊ
#HECKPOINT 4RANSLATE THE VERBAL PHRASE INTO AN
EXPRESSION
4HE PRODUCT OF AND THE QUANTITY PLUS A NUMBER N
Ê
Ê x­£ÓÊʘ®
4HE QUOTIENT OF AND THE QUANTITY A NUMBER X
MINUS £ä
ÝÊÊÎ
]
Êz
Ê
%XAMPLE 5SE A VERBAL MODEL TO WRITE AN EXPRESSION
&OOD $RIVE 9OU AND THREE FRIENDS ARE COLLECTING CANNED
FOOD FOR A FOOD DRIVE 9OU EACH COLLECT THE SAME NUMBER
OF CANS 7RITE AN EXPRESSION FOR THE TOTAL NUMBER OF CANS
COLLECTED
3OLUTION
3TEP 7RITE A VERBAL MODEL !MOUNT .UMBER OF
Ê
Ê
OF CANS
Ê «iœ«iÊ
3TEP 4RANSLATE THE VERBAL
MODEL INTO AN
ALGEBRAIC EXPRESSION
Ê VÊ
z
Ê {Ê Ê
!N EXPRESSION THAT REPRESENTS THE TOTAL NUMBER OF CANS
IS Ê VÊÊ{Ê ,ESSON s !LGEBRA .OTETAKING 'UIDE
#OPYRIGHT Ú -C$OUGAL ,ITTELL(OUGHTON -IFFLIN #OMPANY
9OUR .OTES
#HECKPOINT #OMPLETE THE FOLLOWING EXERCISE
)N %XAMPLE SUPPOSE THAT THE TOTAL NUMBER OF CANS
COLLECTED ARE DISTRIBUTED EQUALLY TO FOOD BANKS
7RITE AN EXPRESSION THAT REPRESENTS THE NUMBER OF
CANS EACH FOOD BANK RECEIVES
VÊz{
]
Ê Ê
zÊ
Ó
%XAMPLE &IND A UNIT RATE
4HREE GALLONS OF MILK COST &IND THE UNIT RATE
3OLUTION
f™°£x
Î GALLONS
Ê
f™°£x Î GALLONS Î
f롊x
£ GALLON
4HE UNIT RATE IS Ê fΰäxÊ«iÀÊ}>œ˜Ê OR Ê fΰäxÉ}>Ê #HECKPOINT &IND THE UNIT RATE
MILES
]
z
HOURS
£{äʓˆÉ…Ê
FT
]z
Ê f{ÉvÌÓÊ
CUPS
]
z
PEOPLE
Ê Ó°xÊVÉ«iÀܘ
(OMEWORK
#OPYRIGHT Ú -C$OUGAL ,ITTELL(OUGHTON -IFFLIN #OMPANY
,ESSON s !LGEBRA .OTETAKING 'UIDE