Writing Algebraic Writing Algebraic Expressions Expressions Objectives: Objectives: • know algebra terms know algebra terms • write an algebraic expression for a write an algebraic expression for a word phrase word phrase • write a word phrase for an write a word phrase for an expression expression
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Writing Algebraic Expressions Objectives: know algebra termsknow algebra terms write an algebraic expression for a word phrasewrite an algebraic expression.
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Objectives:Objectives:•know algebra termsknow algebra terms•write an algebraic expression for a word phrasewrite an algebraic expression for a word phrase• write a word phrase for an expressionwrite a word phrase for an expression
DefinitionsDefinitions
Variable – A variable is a letter Variable – A variable is a letter or symbol that represents a or symbol that represents a number (unknown quantity).number (unknown quantity).
8 + 8 + nn = 12 = 12
DefinitionsDefinitions
A variable can use any letter of A variable can use any letter of the alphabet.the alphabet.
nn + 5 + 5
xx – 7 – 7
ww - 25 - 25
DefinitionsDefinitions
Algebraic expression – a group of Algebraic expression – a group of numbers, symbols, and variables numbers, symbols, and variables that express an operation or a that express an operation or a series of operations.series of operations.m + 8m + 8r – 3r – 3
DefinitionsDefinitions
Algebraic equation – an Algebraic equation – an algebraic form containing an = algebraic form containing an = signsign
g + 6 = 45g + 6 = 45 76 – t = 5076 – t = 50
DefinitionsDefinitions
Terms – are algebraic forms Terms – are algebraic forms separated by + and – signs, the separated by + and – signs, the signs being includedsigns being included
Although they are closely related, a Great Dane weighs about 40 times as much as a Chihuahua.
When solving real-world problems, you will need to translate words, or verbal expressions, into algebraic expressions.
An expression for the weight of the Great Dane could be 40c, where c is the weight of the Chihuahua.
NotesNotes
In order to translate a word In order to translate a word phrase into an algebraic phrase into an algebraic expression, we must first expression, we must first know some key word know some key word phrases for the basic phrases for the basic operations.operations.
On the back of your notes:On the back of your notes:AdditionAddition SubtractionSubtraction
MultiplicationMultiplication Division Division
Addition Phrases:Addition Phrases:More thanMore than
Increase byIncrease by
Greater thanGreater than
AddAdd
TotalTotal
PlusPlus
SumSum
Subtraction Phrases:Subtraction Phrases:Decreased byDecreased by
NotesNotesMultiplication expressions should Multiplication expressions should be written in side-by-side form, be written in side-by-side form, with the number always in front of with the number always in front of the variable.the variable.
33aa 2 2tt 1.5 1.5cc 0.4 0.4ff
NotesNotes
Division expressions should Division expressions should be written using the fraction be written using the fraction bar instead of the traditional bar instead of the traditional division sign.division sign.
2
c5
t 3
x
Write Algebraic ExpressionsWrite Algebraic Expressionsfor These Word Phrasesfor These Word Phrases