## 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

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### Solved Example on Algebraic Expression

#### Ques: 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 n days?

##### Choices:

A. $(3 + 2n) B.$(5n + 2)
C. $n D.$(5 - 2n)
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 for n days.