Video Transcript
Express the following as an algebraic expression: the quotient of a number 𝑤 and
five, increased by two.
In this question, we want to represent a series of operations applied to a given
variable 𝑤. We want to represent the quotient of 𝑤 and five that is increased by two. It is important that we get the order of operations, often remembered using the
acronym PEMDAS, correct. We firstly want the quotient of 𝑤 and five, which we write as 𝑤 over five. Next, we want to increase this by two, which means we need to add two to the
expression.
We can therefore conclude that the correct expression is 𝑤 over five plus two.
