USING EQUATIONS to solve WORD PROBLEMS Directions: Set up and solve an equation for 12. Find three consecutive even integers such that of the smallest integer and twice the median integer is 20 more than the largest integer.

Q8) Find the term contains \( x^{4} \) in the expansion of \( \left(x^{2}-\frac{1}{x^{2}}\right)^{12} \) according to the descending powers of \( x \), then find the ratio between the coefficient of this term and the middle term.

\( \left\{ \left. \begin{array} { l } { 2 x - 3 < ( x + 1 ) ^ { 2 } - x ( x - 1 ) } \\ { x + 3 - 2 x \geq 4 } \end{array} \right. \quad [ - 4 < x \leq - 1 ] \right. \)

\[ f(x)=x^{2}-42 x+80 \] The function \( f \) is defined by the given equation. Which of the following equivalent forms of the equation displays the zeros of the function as constants or coefficients? (A) \( f(x)=x^{2}-5 x-37 x+80 \) (B) \( f(x)=(x-2)(x-40) \) (C) \( f(x)=x(x-42)+80 \) (D) \( f(x)=(x-21)^{2}-361 \)

Senior 1 Algebra \( \begin{array}{lll}\text { If } f(x)=3 x, \text { then the sign of the function is negative in the interval }] \\ \text { (a) }]-\infty[ & \text { (b) }] 3, \infty[ & \text { (c) }]-\infty, 0[ \\ \text { Sol }]-3, \infty[ \end{array} \) Solution

Q1) The last term in the expansion of \( (3-x)^{5}(3+x)^{5} \) according to the ascending powers of \( x \) is ....... \begin{tabular}{|l|l|l|l|l|l|l|}\hline (A) \( x^{5} \) & (B) \( -x^{5} \) & ( \( ) ~ \) & \( x^{10} \) & (D) \( -x^{10} \) \\ \hline\end{tabular}