The document discusses writing algebraic expressions from word phrases and vice versa. It provides examples of key word phrases for the basic operations of addition, subtraction, multiplication, and division. It also gives examples of translating phrases like "3 more than x" or "the product of 3 and a number t" into algebraic expressions like "x + 3" or "3t". The objective is to be able to write an algebraic expression for a word phrase or a word phrase for an expression.

1. Writing AlgebraicWriting Algebraic
ExpressionsExpressions
Objective:Objective:
Be able to write an algebraicBe able to write an algebraic
expression for a word phrase or write aexpression for a word phrase or write a
word phrase for an expression.word phrase for an expression.

2. Warm Up
Evaluate 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
8
y

3. Warm Up
Evaluate 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
868
y
23

4. 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.

5. NotesNotes
In order to translate a wordIn order to translate a word
phrase into an algebraicphrase into an algebraic
expression, we must firstexpression, we must first
know some key wordknow some key word
phrases for the basicphrases for the basic
operations.operations.

6. On the back of your notes:On the back of your notes:
AdditionAddition SubtractionSubtraction
MultiplicationMultiplication DivisionDivision

7. Addition Phrases:Addition Phrases:
More thanMore than
Increase byIncrease by
Greater thanGreater than
AddAdd
TotalTotal
PlusPlus
SumSum

8. Subtraction Phrases:Subtraction Phrases:
Decreased byDecreased by
Difference betweenDifference between
Take AwayTake Away
LessLess
SubtractSubtract
Less than*Less than*
Subtract from*Subtract from*

9. Multiplication Phrases:Multiplication Phrases:
ProductProduct
TimesTimes
MultiplyMultiply
OfOf
Twice or doubleTwice or double
TripleTriple

10. Division Phrases:Division Phrases:
QuotientQuotient
DivideDivide
Divided byDivided by
Split equallySplit equally

11. NotesNotes
Multiplication expressions shouldMultiplication expressions should
be written in side-by-side form,be written in side-by-side form,
with the number always in front ofwith the number always in front of
the variable.the variable.
33aa 22tt 1.51.5cc 0.40.4ff

12. NotesNotes
Division expressions shouldDivision expressions should
be written using the fractionbe written using the fraction
bar instead of the traditionalbar instead of the traditional
division sign.division sign.
2
c
5
t 3
x

13. ExamplesExamples
Addition phrasesAddition phrases::

3 more than3 more than x xx x

the sum of 10 and a numberthe sum of 10 and a number cc

a numbera number nn increased by 4.5increased by 4.5

14. ExamplesExamples
Addition phrasesAddition phrases::

3 more than3 more than xx x+3x+3

the sum of 10 and a numberthe sum of 10 and a number cc
C+10C+10

a numbera number nn increased by 4.5increased by 4.5
n + 4.5n + 4.5

15. ExamplesExamples
Subtraction phrasesSubtraction phrases::

a numbera number tt decreased by 4decreased by 4

the difference between 10 and athe difference between 10 and a
numbernumber yy

6 less than a number6 less than a number zz

16. ExamplesExamples
Subtraction phrasesSubtraction phrases::

a numbera number tt decreased by 4decreased by 4
t-4t-4

the difference between 10 and athe difference between 10 and a
numbernumber yy
10-y10-y

6 less than a number6 less than a number zz
Z-6Z-6

17. ExamplesExamples
Multiplication phrasesMultiplication phrases::

the product of 3 and a numberthe product of 3 and a number tt

twice the numbertwice the number xx

4.2 times a number4.2 times a number ee

18. ExamplesExamples
Multiplication phrasesMultiplication phrases::

the product of 3 and a numberthe product of 3 and a number tt
3t3t

twice the numbertwice the number xx
2x2x

4.2 times a number4.2 times a number ee
4.2e4.2e

19. ExamplesExamples
Division phrasesDivision phrases::

the quotient of 25 and a numberthe quotient of 25 and a number bb

the numberthe number yy divided by 2divided by 2

2.5 divide2.5 divide gg

20. ExamplesExamples
Division phrasesDivision phrases::

the quotient of 25 and a numberthe quotient of 25 and a number bb
25/b25/b

the numberthe number yy divided by 2divided by 2
y/2y/2

2.5 divide2.5 divide gg
2.5/g2.5/g

21. ExamplesExamples
converting 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 lengththe area of a rectangle with a length
of 10 and a width of wof 10 and a width of w

22. ExamplesExamples
converting i inches into feetconverting i inches into feet
the cost for tickets if you purchase 5the 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 3the cost for tickets if you purchase 3
children’s tickets at y dollars eachchildren’s tickets at y dollars each

23. ExamplesExamples
the total cost for 5 adult tickets and 3the total cost for 5 adult tickets and 3
children’s tickets using the dollarchildren’s tickets using the dollar
amounts from the previous twoamounts from the previous two
problems (problems e and f)problems (problems e and f)