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 Evaluating an Algebraic Expression

  • Order of operation is used to evaluate an algebraic expression.

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
Correct Answer: D
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.]

Related Terms for Evaluating an Algebraic Expression

  • Algebraic Expression
  • Evaluate