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Writing Algebraic Expressions

Writing Algebraic Expressions

Introduction: Write the following expression: five plus two. Chances are you were able to turn this phrase into 5+2. In algebra, you will be asked to do the same. However, one or more of the terms will have an unknown quantity. To write the unknown, you will need to use a variable. A variable is a symbol, usually a letter, which represents an unknown value.

Write the following expression: five plus a number. Begin by turning each part of the expression into its mathematical form:
  • five 5
  • plus +
  • a number n (use any letter)

Then, combine the terms into the expression 5+n. Congratulations, you just wrote an algebraic expression! 

Remember, expressions do not include an equal sign (=). Learning the words and phrases that indicate each math operation will help you when writing expressions. See the table below for examples.

AdditionSubtractionMultiplicationDivisionVariable
add 
sum
increase
more than
plus
combined
subtract
minus
difference
decrease
fewer
less*
less than*
multiply
product
times
of
twice
double
triple
divide
quotient
per
fraction
part
a number
some number
unknown
x or any letter
*Less and less than are not the same!
  • two less a number 2-x
  • two less than a number x-2

Directions for This Lesson: In this lesson, you will be learn how to write algebraic expressions. First, try the practice questions to determine what you already know. Then, watch the video lessons to learn more.
 

 
Required Videos:


Practice:
Practice what you have learned by completing the post-lesson worksheet.

Related Worksheets: