**Definition of Algebraic Expression**

- An algebraic expression is an expression that contains one or more numbers, one or more variables, and one or more arithmetic operations.

**Examples of Algebraic Expression **

**Solved Example on Algebraic Expression**

A cassette shop charges $5 for renting a video cassette for the first day. It charges $2 extra for every additional day. Which of these algebraic expressions tells you the amount that Sarah would pay if she rents a video cassette for

ndays?

Choices:A. $(3 + 2

n)B. $(5

n+ 2)C.

$ nD. $(5 - 2

n)

Correct Answer: A

Solution:

Step 1:$5 for the first day and $2 extra for every additional day.

Step 2:Sarah would pay $5 + (n- 1) × $2 for renting a video cassette forndays.

Step 3:So, the algebraic expression that corresponds to the amount that Sarah would pay is $(3 + 2n).

**Related Terms for Algebraic Expression**

- Variable
- Expression
- Operation