Define a variable and write an expression for the phrase. the quotient of 2 times a number and 8.

Answer:The expresion for the phrase is:[tex]\frac{2x}{8}[/tex]Step-by-step explanation:In order to get the expression for the phrase, we have to understand the described operations in it.The phrase starts with "the quotient of...", therefore the expression must be a fraction:[tex]\frac{A}{B}[/tex]To get what is the numerator (A) and the denominator (B), we have to analyze carefully the rest of the phrase: "...2 times a number and 8"In this case, the word "and" separates the numerator from the denominator:Numerator: "2 times a number"This unknown number is called xTherefore, numerator of the fraction (A) is:[tex]A = 2x[/tex]And the Denominator: "8"Therefore: [tex]B=8[/tex]Finally, replacing values:[tex]\frac{A}{B} = \frac{2x}{8}[/tex]