USING EQUATIONS to solve WORD PROBLE Directions: Set up and solve an equation for each problem below. 10. The sum of four consecutive integers is 222 . Find the integers.

Find the two natural numbers which differ by 5 and the sum of whose squares is 97.

Prove, by factoring, that \( A(x)=(x-2)(-x+1) \) Let \( F(x)=\frac{A(x)}{2} \)

4. A. B. C ve D sayılarının yerine \( 2,3,4,6 \) ve 8 sayılarından dört tanesi birer kez kullanıldığında aşağıdaki eşitlik sağlanmaktadır A、 \( \bar{B}= \) C、 \( \bar{D} \) Buna göre, bu beş sayıdan hangisi verilen eşitlikte yer almaz? \( \begin{array}{llll}\text { A) } 2 & \text { B) } 3 & \text { C) } 4 & \text { D) } 6\end{array} \) E) 8

If \( p=\{2,3,5,7,11\} \) and \( Q=\{1,3,5,11\} \) Rationalise the denominator of \( \frac{5+\sqrt{3}}{5-\sqrt{3}} \)

d) \( \begin{aligned} & f(x)=\left\{\begin{array}{c}3 x+4,-1 \leq x<2 \\ 1+x, 2 \leq x \leq 5\end{array}\right. \\ & \operatorname{Dom}(f)=\{x:-1 \leq x<5\}=[-1,5)\end{aligned} \)