Question 1132446
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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.<br>
"seventeen less than..."<br>
"less than" indicates the number is subtracted from something else:<br>
(unknown expression) - 17<br>
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.<br>
"seventeen less than the quotient of..."<br>
"quotient" indicates one thing divided by another):<br>
((unknown expression)/(another unknown expression)) - 17<br>
"seventeen less than the quotient of a number cubed and eleven..."<br>
"a number cubed" and "eleven" are the two things in the quotient:<br>
{{{x^3/11 - 17}}}