How to Evaluate One Variable? (+FREE Worksheet!)
Some mathematical expressions have one variable. Learn how to evaluate one variable expressions.
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Related Topics
- How to Translate Phrases into an Algebraic Statement
- How to Simplify Variable Expressions
- How to Simplify Polynomial Expressions
- How to Use the Distributive Property
- How to Evaluate Two Variables
Step by step guide to evaluating one variable
- To evaluate one variable expression, find the variable and substitute a number for that variable.
- Perform arithmetic operations.
For education statistics and research National Center for Education Statistics.
Evaluating One Variable – Example 1:
Solve this expression when \( x=2\), \(18 \ – \ 2x\)
Solution:
First substitute \(2\) for \(x\), then:
\(18 \ − \ 2 x=18 \ − \ 2(2)=18 \ − \ 4=14\)
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Evaluating One Variable – Example 2:
Solve this expression. \(5 \ – \ 2 x,x=\ – \ 1\)
Solution:
First substitute \(- \ 1\) for \(x\), then:
\(5 \ − \ 2 x=5 \ − \ 2 \ (- 1)=5 \ + \ 2=7\)
Evaluating One Variable – Example 3:
Solve this expression. \(12-2x,x=-1\)
Solution:
First substitute \(-1\) for \(x\), then:
\( 12-2x=12-2(-1)=12+2=14\)
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Evaluating One Variable – Example 4:
Solve this expression. \( -8+5x,x=3\)
Solution:
First substitute \(3\) for \(x\), then:
\( -8+5x=-8+5(3)=-8+15=7\)
Exercises for Evaluating One Variable
Simplify each algebraic expression.
- \(\color{blue}{9 – x, x = 3}\)
- \(\color{blue}{x + 2, x = 5}\)
- \(\color{blue}{3x + 7, x = 6}\)
- \(\color{blue}{(– 3) + \frac{x}{4} + 2x, x = 16}\)
- \(\color{blue}{(– 2) + \frac{x}{7}, x = 21}\)
- \(\color{blue}{(– \frac{14}{x}) – 9 + 4x, x = 2}\)
Download Evaluating One Variable Expressions Worksheet
Answers
- \(\color{blue}{6}\)
- \(\color{blue}{7}\)
- \(\color{blue}{25}\)
- \(\color{blue}{33}\)
- \(\color{blue}{1}\)
- \(\color{blue}{-8}\)
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