Math Homework. Do It Faster, Learn It Better.
Word Problems: Equivalent Expressions
Sometimes, we need to translate a statement of equivalence back and forth between words and symbols.
For example, "Cubing a number and then dividing the result byis the same as dividing the number byand then finding its cube."
Let’s translate this into math symbols. “Cubing a number” means multiplying ittimes, or
Now divide this by:
On the other side, start by dividingby, and then cube the result. (Use parentheses.)
So the translation of the full statement becomes:
(In this case, you can check that the equation is true using thePower of a Quotient Property.)