Question

Translate the following phrase into an algebraic expression using the variable x to represent the cost of the puck. Do not simplify

The cost of purchasing a hockey stick and puck if the stick costs $9 more than twice the cost of the puck.

Answer 1

Answer:
`x+2x+9`

Explanation:

Let be
`x` the cost in dollars of the puck.

You need to analize carefully the information given in the exercise.

It is important to remember that the word "twice" indicates multiplication. Then "Twice the cost of the puck" can be represented with the following expression:

`2x`

The word "more" indicates Addition.

So, "$9 more than twice the cost of the puck" means that must add 9 to the product of
`2x` to find the cost of purchasing a hockey stick. Then, this can be written as:

`2x+9`

Based on the explained above, you can determine that the given phrase "The cost of purchasing a hockey stick and puck if the stick costs $9 more than twice the cost of the puck" can be represented as the sum of
`x` and
`2x+9`.

Therefore, the algebraic expression is:

`x+2x+9`