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Daily Math Minute

Algebra Foundations

Evaluating Expressions

Substituting values for variables to evaluate an expression.

Foundational10 min lesson1 min readUpdated August 12, 2026Author not yet attributed

Prerequisites

  • Introduction to Variables

Substituting Values

Evaluating an expression means replacing each variable with a given number, then simplifying using the order of operations.

x2x + 1
13
37
511
Evaluating 2x + 1 for different values of x

Graph Visualizer

Domain & range
2
Evaluate a point
  • 2x + 1 = 1

The expression 2x + 1 plotted as a line.

What if x is negative?

Substitute the negative value directly, keeping track of the sign — e.g. for x = -2, 2x + 1 = 2(-2) + 1 = -3.

Does order matter?

Yes — always multiply before adding, following the standard order of operations.

Evaluating expressions, step by step

A short walkthrough of substitution and order of operations.

Video coming soon

Summary

To evaluate an expression, substitute the given value for each variable, then simplify using the order of operations.