Mastering Algebraic Expressions: Translating Words to Equations
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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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
Writing Algebraic Expressions Objective: Be able to write an algebraic expression for a word phrase or write a word phrase for an expression.
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.
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. 3a 2t 1.5c 0.4f
Notes Division expressions should be written using the fraction bar instead of the traditional division sign. c 5 t 3 x 2
Examples Addition phrases: 3 more than x the sum of 10 and a number c a number n increased by 4.5
Examples Subtraction phrases: a number t decreased by 4 the difference between 10 and a number y 6 less than a number z
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. 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
Guided Practice https://valenciacollege.edu/learning- support/math/documents/1.12TranslatingA lgExpressions2.pdf
Reference https://alex.state.al.us/uploads/7646/Transl ating%20Expressions.ppt teachers.henrico.k12.va.us/math/.../7- 13/7-13_WritingAlgebraicExpressions.ppt
