 # Evaluating 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.

We can evaluate an algebraic expression for different values of the variable.

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 minus signs.

Evaluating Algebraic Expressions
How to evaluate an algebraic expression when values are given for the variable(s)?
Examples:
1. Evaluate x + 3 for x = 7
2. Evaluate x2 + x - 3 for x = 2
3. Evaluate y2 + x3 + 7 for y = 2, x = 1
4. Evaluate 5 - x2 for x = -2
5. Evaluate (3x)(5y) for x = -1, y = 2
6. Evaluate -7x2 -5 + y2 - x for x = -2, y = 4
7. Evaluate 3x2 ÷ 12 + y for x = 4, y = -7

How to Evaluate Expressions with Two Variables?

Evaluating Algebraic Expressions
How to Evaluate Expressions with One Variable?
Basic Mathematics & Algebra : Substituting Values Into an Algebraic Expression
Substituting values into an algebraic expression in mathematics is easier to do if the numbers the values represent are given ahead of time.

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.  