Writing Algebraic Writing Algebraic Expressions Expressions Objective: Objective: Be able to write an algebraic Be able to write an algebraic expression for a word phrase or expression for a word phrase or write a word phrase for an write a word phrase for an expression. expression.
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Be able to write an algebraic Be able to write an algebraic expression for a word phrase or write a expression for a word phrase or write a
word phrase for an expression.word phrase for an expression.
Warm UpEvaluate each algebraic expression for the
given value of the variables.
1.) 7x + 4 for x = 6
2.) 8y – 22 for y = 9
3.) 12x + for x = 7 and y = 4
4.) y + 3z for y = 5 and z = 6
8y
Warm UpEvaluate each algebraic expression for the
given value of the variables.
1.) 7x + 4 for x = 6
2.) 8y – 22 for y = 9
3.) 12x + for x = 7 and y = 4
4.) y + 3z for y = 5 and z = 6
46
50
868y
23
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.
the product of 3 and a number the product of 3 and a number tt3t3t twice the number twice the number xx2x2x 4.2 times a number 4.2 times a number ee4.2e4.2e
the quotient of 25 and a number the quotient of 25 and a number bb25/b25/b the number the number yy divided by 2 divided by 2y/2y/2 2.5 divide 2.5 divide gg2.5/g2.5/g
ExamplesExamplesconverting f feet into inchesconverting f feet into inches
a car travels at 75 mph for h hoursa car travels at 75 mph for h hours
the area of a rectangle with a length the area of a rectangle with a length
of 10 and a width of wof 10 and a width of w
ExamplesExamplesconverting i inches into feetconverting i inches into feet
the cost for tickets if you purchase 5 the cost for tickets if you purchase 5 adult tickets at x dollars eachadult tickets at x dollars each
the cost for tickets if you purchase 3 the cost for tickets if you purchase 3 children’s tickets at y dollars eachchildren’s tickets at y dollars each
ExamplesExamplesthe total cost for 5 adult tickets and 3 the total cost for 5 adult tickets and 3 children’s tickets using the dollar children’s tickets using the dollar amounts from the previous two amounts from the previous two problems (problems e and f)problems (problems e and f)