Video Examples: Algebraic Expression Mathematics PMR

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)
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).