# Evaluate Algebraic Expressions

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Examples, solutions, videos, worksheets, and activities to help Algebra 1 or grade 7 students learn how to evaluate algebraic expressions.

An algebraic expression is an expression in which some or all of the terms contain variables. If the values of the variables are known then we can evaluate the expression.

How to evaluate algebraic expressions?

1. Substitute the value of the variables into the expression.
2. Evaluate using the order of operation.

For example:
To evaluate 3x + 1 for x = −2, we substitute −2 in place of x
3(−2) + 1 = −6 + 1 = −5

Remember to use order of operations to evaluate and be careful with the negative signs.

Evaluating Algebraic Expressions

Examples Part 1: Evaluating Variable Expressions
This video provides two basic examples of evaluating a variable expression.

Examples Part 2: Evaluating Variable Expressions
This video provides two more examples of evaluating a variable expression.

Evaluating an expression with multiple variables

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.