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# What does it you to evaluate an algebraic expression?

To evaluate an algebraic expression means to simplify the expression as much as possible by replacing the variables in an expression with the numerical values given to you.

Ex:

Example of Evaluating 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

Solved Example on Evaluating an Algebraic Expression

Evaluate the algebraic expression p + 3q + 2p - 3q, for p = 2 and q = - 5.

Choices:

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.] Study guides

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## A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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