91Ó°ÊÓ

Solve each quadratic inequality in Exercises \(1-28\) and graph the solution set on a real number line. Express each solution set in interval notation. $$ (x-4)(x+2)>0 $$

Solve each equation in Exercises \(1-14\) by factoring. $$3 x^{2}+12 x=0$$

Solve each quadratic inequality in Exercises \(1-28\) and graph the solution set on a real number line. Express each solution set in interval notation. $$ x^{2}-2 x+1>0 $$

Let \(x\) represent the number. Write each English phrase as an algebraic expression. The quotient of 12 and a number, decreased by 3 times the number

Graph each equation in Exercises \(13-28 .\) Let \(x=-3,-2,-1\) \(0,1,2,\) and 3. $$y=2 x+1$$

Solve each radical equation in Check all proposed solutions. $$ x-\sqrt{x+11}=1 $$

Exercises \(17-30\) contain equations with constants in denominators. Solve each equation. $$ \frac{x}{5}-\frac{1}{2}=\frac{x}{6} $$

Solve each quadratic inequality in Exercises \(1-28\) and graph the solution set on a real number line. Express each solution set in interval notation. $$ \left|x^{2}+6 x+1\right|>8 $$

Solve each rational inequality in Exercises \(29-48,\) and graph the solution set on a real number line. Express each solution set in interval notation. $$ \frac{x-4}{x+3}>0 $$

Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. $$ x^{2}+3 x $$