Algebraic Expression

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

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)

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 for n days.

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

                                  

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