This document provides instructions on writing algebraic expressions from word phrases and writing word phrases for algebraic expressions. It begins with examples of evaluating algebraic expressions for given variable values. It then explains how to translate between word phrases and algebraic expressions using key words for operations like addition, subtraction, multiplication, and division. Examples are given of writing expressions for word phrases and phrases for expressions involving various contexts like distances, costs, and areas. The document encourages supporting female education through clicking advertisements.
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
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
17. 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
18. 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
19. 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)
20. 2020
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pens you realize quite how important
education is”.
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your one click can make her smile.
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