Recall. Translate the verbal phrases to mathematical expressions.
1. The sum of a number and 7
2. The difference of 8 and twice a number
3. Twice the difference of a number and 24
4. The square of the difference of a number and 9
5. Half the product of a number and five times the number
1. The sum of a number and 7
2. The difference of 8 and twice a number
3. Twice the difference of a number and 24
4. The square of the difference of a number and 9
5. Half the product of a number and five times the number
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\huge \underline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }
\begin{gathered} \sf \: Recall. \\ \sf \: Translate \: the \: verbal \\ \sf \: phrases \: to \: \\ \sf \: mathematical \: expressions. \end{gathered}Recall.Translatetheverbalphrasestomathematicalexpressions.
\huge \underline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }
\begin{gathered} \sf \: 1.)The \: sum \: of \: a \: \\ \sf \: number \: and \: 7\end{gathered}1.)Thesumofanumberand7
\implies \sf \: x \: + \: 7⟹x+7
\begin{gathered} \sf \: 2.)The \: difference \: of \: 8 \: and \\ \sf twice \: a \: number\end{gathered}2.)Thedifferenceof8andtwiceanumber
\implies \sf \: 8 - 2x⟹8−2x
\begin{gathered} \sf \: 3.)Twice \: the \: difference \: of \: \\ \sf \: a \: number \: and \: 24\end{gathered}3.)Twicethedifferenceofanumberand24
\implies \sf \: (24 - y)2x⟹(24−y)2x
\begin{gathered} \sf \: 4.)The \: square \: of \: the \: \\ \sf difference \: of \: a \: number \: and \: 9\end{gathered}4.)Thesquareofthedifferenceofanumberand9
\implies \sf \: (9 - x){}^{2}⟹(9−x)2
\begin{gathered} \sf \: 5.)Half \: the \: product \: of \: a \: \\ \sf \: number \: and \: five \: times \: the \\ \sf \: number \end{gathered}5.)Halftheproductofanumberandfivetimesthenumber
\implies \sf \: ( \frac{1}{2} x)(5y)⟹(21x)(5y)