Write an expression

Question

multiply 3 by k, then subtract the quotient of 2 and 8 from the result

Answer 1

This type of problem requires that you translate English words into mathematical expressions and equations. I recommend compiling a "Math/English" dictionary to help you with the translation. Let's break your problem down.

The first phrase is "multiply 3 by 6" multiply is a specific mathematic instruction using the symbol ×. the word "by" tells you where the symbol goes in relation to the two numbers (or variables in some cases)

result: 3 × 6. When you put this into your written expression, enclose it in parentheses since this indicates it is a unit.

the word "then" means a new expression will follow, and "subtract...from the result" tells you what you will do with the new expression.

" the quotient of 2 and 8" like "multiply", "quotient" is a specific instruction, this time division: 2 ⁄ 8. Again, when this is put into your expression, enclose it in parentheses.

Putting it together: the English sentence: "multiply 3 by k, then subtract the quotient of 2 and 8 from the result" becomes the mathematical expression: (3 × 6) - (2 ⁄ 8)

Answer 2

In symbols:

3k - (2/8)