Did I translate this verbal phrase into an algebraic equation correctly?
The quotient of ten less than a number and 8
(x-10)/8
looks good to me.
twice of x is 10
Yes, you translated the verbal phrase "The quotient of ten less than a number and 8" correctly into an algebraic equation as (x-10)/8.
To explain how you arrived at this equation, let's break it down:
1. "The quotient": The word "quotient" typically indicates division. So, we know that some expression will be divided.
2. "Ten less than a number": "Ten less than a number" implies subtracting 10 from the unknown number. We represent this unknown number as the algebraic variable x, and taking "ten less" can be written as (x-10).
3. "Divided by 8": Finally, the expression obtained from step 2 (x-10) is divided by 8. This can be represented as (x-10)/8.
Hence, (x-10)/8 correctly represents the quotient of ten less than a number and 8 in algebraic terms.