Open Sentences
Lesson
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Teacher at the chalkboardAn open sentence is a sentence which
contains a variable.
 
"n + 5 = 12" is an open sentence -- the variable is "n."

Open sentence:  n + 5 = 12

Variable: n
 

A variable is simply a letter used to represent a
number that is unknown
.
 n = 7
 

The variable n may appear on either side of a number sentence.

3 + n = 9

9 = 3 + n
n + 6 = 9 9 = n + 6


 

Example:

5 + n = 12

The open sentence is 5 + n = 12
The variable is n
To solve an open sentence you can do the opposite operation. For example if it is an adding problem, you would subtract to find the missing variable.
5 + n = 12
12 - 5 = 7
n = 7
5 + 7 = 12

 

worm Remember:  One way to solve an open sentence is to do the opposite operation. For example if it is an adding problem, you would subtract to find the missing variable.

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