In this video we will be learning how to declare variables in word problems.
The length of a rectangle is 5 units longer than the width. If the perimeter is 22 units, how long is the width?
Let’s go over declaring variables.
When we have word problems, we may start writing down equations based on the given then try to solve it.
But if we lost track of what the variables are, it’s highly possible to get an incorrect answer.
Normally, declaring variables is like this:
Let equal a number of something.
Or let equal the width of a shape.
Let’s have an example.
A book store charges for the first book and for each additional book. Write an expression to represent the total cost of buying any number of books.
Let’s start with declaring the variables.
Let number of books.
Now we need to know the total cost based on the information given.
Now, we have
cost times number of additional books
Let’s use in this equation.
is the number of additional books. So we subtract the first book from cost .
We bought books. The cost is going to be additional.
It’s not because the first book is valued at .
Let’s take a look at another example.
The length of a rectangle is units longer than the width. If the perimeter is units, how long is the width?
Now, let’s draw a rectangle.
Label the two as “w” for width and label the length as ““.
The perimeter is
Since we already labeled the rectangle, it’ll be easier.
Let’s continue solving
Then subtract to both sides of the equation.
To solve ““, let’s divide both sides by
Now, let’s go back to the problem and substitute the value of .
then the .