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Represent the following phrase as an algebraic expression, where "a number" is the letter [tex]x[/tex]. You do not need to simplify.

The quotient of 7 and the difference of a number and 8.


Sagot :

Sure! Let's break down the phrase "The quotient of 7 and the difference of a number and 8" and convert it into an algebraic expression.

1. Identify "a number": Let's represent "a number" using the variable [tex]\( x \)[/tex].

2. Identify the "difference of a number and 8": This translates to [tex]\( x - 8 \)[/tex].

3. Forming the quotient: "The quotient of 7 and the difference of a number and 8" means we need to divide 7 by the expression [tex]\( x - 8 \)[/tex].

Putting it all together, the algebraic expression is:

[tex]\[ \frac{7}{x - 8} \][/tex]

So, the expression representing the given phrase is [tex]\( \frac{7}{x - 8} \)[/tex].