SOLUTION: Seventeen less than the quotient of a number cubed and eleven in an algebraic expression

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Question 1132446: Seventeen less than the quotient of a number cubed and eleven in an algebraic expression
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52914) About Me  (Show Source):
You can put this solution on YOUR website!
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x%5E3%2F11 - 17.     ANSWER


Answer by greenestamps(13215) About Me  (Show Source):
You can put this solution on YOUR website!


It can be confusing for beginning students to understand how to convert the written expressions into algebraic expressions. Let's take a look at this one small piece at a time.

"seventeen less than..."

"less than" indicates the number is subtracted from something else:

(unknown expression) - 17

NOTE: That is where beginning students are most likely to make mistakes. They read "seventeen less than" and know "less than" means subtraction, so they write the algebraic expression as "17 - (unknown expression). But clearly the phrase means that it is the 17 that is being subtracted.

"seventeen less than the quotient of..."

"quotient" indicates one thing divided by another):

((unknown expression)/(another unknown expression)) - 17

"seventeen less than the quotient of a number cubed and eleven..."

"a number cubed" and "eleven" are the two things in the quotient:

x%5E3%2F11+-+17