Mastering Algebraic Expressions: Translating Words to Equations

 
09.26.2018
 
A
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Do Now
D.E.A.R. ( When
finished with Do
nows)
Cornell Notes on
Translating
Algebraic
Expressions
 
D
O
 
N
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w
!
 
Format your
papers for Cornell
Notes
Topic: Rewriting
Algebraic
Expressions
E.Q.: How can I
Translate
Algebraic
Expressions
undefined
Writing Algebraic
Expressions
 
Objective:
Objective:
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.
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 40
c
, where 
c
 is the
weight of the Chihuahua.
Notes
 
In order to translate a word
phrase into an algebraic
expression, we must first
know some key word
phrases for the basic
operations.
Addition Phrases:
 
More than
Increase by
Greater than
Add
Total
Plus
Sum
Subtraction Phrases:
 
Decreased by
Difference between
Take Away
Less
Subtract
Less than*
Subtract from*
Multiplication Phrases:
 
Product
Times
Multiply
Of
Twice or double
Triple
 
Division Phrases:
 
Quotient
Divide
Divided by
Split equally
 
 
Notes
 
Multiplication expressions should
be written in side-by-side form,
with the number always in front of
the variable.
3
a
        2
t
       1.5
c
       0.4
f
Notes
 
Division expressions should
be written using the fraction
bar instead of the traditional
division sign.
 
            
              
Examples
 
Addition phrases
:
3 more than 
x
 
the sum of 10 and a number 
c
 
a number 
n
 increased by 4.5
Examples
 
 
 
 
 
 
 
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Examples
 
Multiplication phrases
:
the product of 3 and a number 
t
 
twice the number 
x
 
4.2 times a number 
e
Examples
 
Division phrases
:
the quotient of 25 and a number 
b
 
the number 
y
 divided by 2
 
2.5 divide 
g
 
 Rewrite these verbal expressions as algebraic expressions.
 
 
 
5. Four less than a number
 
4. 56 increased by twice a number
 
3. n to the seventh power
 
2. the product of 15 and some number
 
1.  the sum of s and 12
 
s+12
 
15n
 
56+2a
 
n-4
 
n
7
 
Guided Practice
 
https://valenciacollege.edu/learning-
support/math/documents/1.12TranslatingA
lgExpressions2.pdf
 
Reference
 
https://alex.state.al.us/uploads/7646/Transl
https://alex.state.al.us/uploads/7646/Transl
ating%20Expressions.ppt
ating%20Expressions.ppt
teachers.henrico.k12.va.us/math/.../7-
teachers.henrico.k12.va.us/math/.../7-
13/7-13_WritingAlgebraicExpressions.ppt
13/7-13_WritingAlgebraicExpressions.ppt
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Learn how to translate word phrases into algebraic expressions for addition, subtraction, multiplication, and division. Understand the key phrases associated with each operation to write expressions accurately. Enhance your skills in rewriting algebraic expressions with practical examples and concise notes.


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  1. 09.26.2018 DO Now! Format your papers for Cornell Notes Topic: Rewriting Algebraic Expressions E.Q.: How can I Translate Algebraic Expressions Agenda Do Now D.E.A.R. ( When finished with Do nows) Cornell Notes on Translating Algebraic Expressions

  2. Writing Algebraic Expressions Objective: Be able to write an algebraic expression for a word phrase or write a word phrase for an expression.

  3. Although they are closely related, a Great Dane weighs about 40 times as much as a Chihuahua. An expression for the weight of the Great Dane could be 40c, where c is the weight of the Chihuahua. When solving real-world problems, you will need to translate words, or verbal expressions, into algebraic expressions.

  4. Notes In order to translate a word phrase into an algebraic expression, we must first know some key word phrases for the basic operations.

  5. Addition Phrases: More than Increase by Greater than Add Total Plus Sum

  6. Subtraction Phrases: Decreased by Difference between Take Away Less Subtract Less than* Subtract from*

  7. Multiplication Phrases: Product Times Multiply Of Twice or double Triple

  8. Division Phrases: Quotient Divide Divided by Split equally

  9. Notes Multiplication expressions should be written in side-by-side form, with the number always in front of the variable. 3a 2t 1.5c 0.4f

  10. Notes Division expressions should be written using the fraction bar instead of the traditional division sign. c 5 t 3 x 2

  11. Examples Addition phrases: 3 more than x the sum of 10 and a number c a number n increased by 4.5

  12. Examples Subtraction phrases: a number t decreased by 4 the difference between 10 and a number y 6 less than a number z

  13. Examples Multiplication phrases: the product of 3 and a number t twice the number x 4.2 times a number e

  14. Examples Division phrases: the quotient of 25 and a number b the number y divided by 2 2.5 divide g

  15. Rewrite these verbal expressions as algebraic expressions. 1. the sum of s and 12 s+12 2. the product of 15 and some number 15n 3. n to the seventh power n7 4. 56 increased by twice a number 56+2a 5. Four less than a number n-4

  16. Guided Practice https://valenciacollege.edu/learning- support/math/documents/1.12TranslatingA lgExpressions2.pdf

  17. Reference https://alex.state.al.us/uploads/7646/Transl ating%20Expressions.ppt teachers.henrico.k12.va.us/math/.../7- 13/7-13_WritingAlgebraicExpressions.ppt

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