﻿ Definition and examples evaluate an algebraic expression | define evaluate an algebraic expression - algebra - Free Math Dictionary Online

# Evaluate an Algebraic Expression

## Definition of Evaluate an Algebraic Expression

The process of replacing the variables in an expression with the numerical values and simplifying it is known as evaluating an algebraic expression.

### More About Evaluate an Algebraic Expression

Order of operation is used to evaluate an algebraic expression.

### Example of Evaluate an Algebraic Expression

To evaluate the algebraic expression '4.5 + x' for x = 3.2, we need to replace x with 3.2 and then add.
4.5 + x = 4.5 + 3.2
=7.7

A. 12
B. 18
C. 3
D. 6

### Solution:

Step 1: p + 3q + 2p - 3q [Original expression.]
Step 2: = (p + 2p) + (3q - 3q) [Group the like terms together.]
Step 3: = 3p [Solve within the grouping symbols.]
Step 4: = 3 x 2 [Substitute 2 for p.]
Step 5: = 6 [Multiply.]

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