Variable Expressions
Key Questions
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Variable expressions are expressions that involve variables, which are symbols that represent changing quantities. (See http://socratic.org/questions/what-are-variables for reference). The value of the expression will change as the value of the variable changes.
For example, let's say with have the equation
x + 5 When
x = 1 , thenx + 5 = 6 When
x = 2 thenx+5 = 7 Hope that was helpful.
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To write variable expressions on Socratic, simply place hash tags around the expression when typing it:
[hash tag] x + 1 [hash tag] =
x +1 [hash tag] (x-1)/(x+1) [hash tag] =
(x-1)/(x+1) Hope that was helpful.
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To evaluate a variable expression means to find the value of the expression when the variable is (or variables are) replaced by a number (or numbers).
Here is a variable expression:
3x+7 .To evaluate this expression when
x = 2 mean to substitute2 in place ofx , and find the number (the value). [see note below]3(2)+7 = 6+7 = 13 .When
x=2 , the expression has a value of `13 .If we evaluate the same expression when
x=10 , we get:3(10)+7 = 30+7 =37 .Here's a variable expression with two variables :
3x-2y In order to evaluate this expression, we'll need values (numbers) for both
x andy .Evaluate the expression
3x-2y whenx=4 andy=5 3(4)-2(5) = 12 - 10 = 2 If we change the values to
x=5 andy=4 , we get
3(5)-2(4) = 15 - 8 =7 .Note:
To avoid saying exactly the same thing over and over, we use the following to mean the same thing:
evaluate the expression when
x = 2
evaluate the expression forx = 2
evaluate the expression atx = 2
evaluate the expression assumingx = 2
evaluate the expression ifx = 2 Also
If there is only one variable in an expression, we don't always need to mention it:
evaluate the expression for2
evaluate the expression at2 -
Variables are symbols representing some changing quantities.
I hope that this was helpful.
Questions
Expressions, Equations, and Functions
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Variable Expressions
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Expressions with One or More Variables
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PEMDAS
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Algebra Expressions with Fraction Bars
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Patterns and Expressions
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Words that Describe Patterns
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Equations that Describe Patterns
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Inequalities that Describe Patterns
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Function Notation
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Domain and Range of a Function
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Functions that Describe Situations
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Functions on a Cartesian Plane
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Vertical Line Test
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Problem-Solving Models
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Trends in Data