Chapter 9

Using THE DISCRIMINANT Tell if the equation has two solutions, one solution, or no real solution. $$2 x^{2}-4 x+3=0$$

Evaluate the expression. $$-\sqrt{0.04}$$

Solve the equation algebraically. Check the solution graphically. $$ 8 x^{2}=32 $$

Make a scatter plot of the data. Then name the type of model that best fits the data. $$(0,3),(8,3),(-4,-1),(4,4),(-6,-3),(10,1)$$

Write in standard form. Use the quadratic formula to solve the equation. $$2 x^{2}=-x+6$$

Sketch the graph of the inequality. $$y \geq x^{2}-2 x$$

Tell whether the graph opens up or down. Write an equation of the axis of symmetry. $$ y=-x^{2}+4 $$

Simplify the expression. $$\sqrt{44}$$

Using THE DISCRIMINANT Tell if the equation has two solutions, one solution, or no real solution. $$-3 x^{2}+5 x-1=0$$

Evaluate the expression. $$\pm \sqrt{9}$$

Solve the equation algebraically. Check the solution graphically. $$ -2 x^{2}=-18 $$

Make a scatter plot of the data. Then name the type of model that best fits the data. $$(1,3),(2.5,16.5),(0.5,1.5),(-2,0.1),(0,1),(1.5,5)$$

Write in standard form. Use the quadratic formula to solve the equation. $$6 x=-8 x^{2}+2$$

Sketch the graph of the inequality. $$y>-2 x^{2}+5 x$$

Sketch the graph of the function. Label the vertex. $$ y=-3 x^{2} $$

Simplify the expression. $$\sqrt{27}$$

Using THE DISCRIMINANT Tell if the equation has two solutions, one solution, or no real solution. $$-\frac{1}{3} x^{2}+x+4=0$$

Evaluate the radical expression when \(a=2\) and \(b=4\). $$\sqrt{b^{2}+10 a}$$

Solve the equation graphically. Check the solutions algebraically. $$ 3 x^{2}=48 $$

Make a scatter plot of the data. Then name the type of model that best fits the data. $$(-2,-1),(-1,-2.5),(0,-3),(1,-2.5),(2,-1),(3,1.5)$$

Write in standard form. Use the quadratic formula to solve the equation. $$3=3 x^{2}+8 x$$

Sketch the graph of the inequality. $$y<4 x^{2}-2 x+1$$

Sketch the graph of the function. Label the vertex. $$ y=-3 x^{2}+6 x+2 $$

Simplify the expression. $$\sqrt{48}$$

Using THE DISCRIMINANT Tell if the equation has two solutions, one solution, or no real solution. $$6 x^{2}-2 x+4=0$$

Evaluate the radical expression when \(a=2\) and \(b=4\). $$\frac{10 \pm 2 \sqrt{b}}{a}$$

Solve the equation graphically. Check the solutions algebraically. $$ x^{2}-4=5 $$

Make a scatter plot of the data. Then name the type of model that best fits the data. $$(-3,2),\left(-2, \frac{5}{2}\right),\left(-1, \frac{7}{2}\right),(0,5),(1,7),\left(2, \frac{19}{2}\right)$$

Write in standard form. Use the quadratic formula to solve the equation. $$-14 x=-2 x^{2}+36$$

Decide whether the ordered pair is a solution of the inequality. $$y \geq 2 x^{2}-x,(2,6)$$

Sketch the graph of the function. Label the vertex. $$ y=-5 x^{2}+10 $$

Simplify the expression. $$\sqrt{75}$$

Using THE DISCRIMINANT Tell if the equation has two solutions, one solution, or no real solution. $$3 x^{2}-6 x+3=0$$

Evaluate the radical expression when \(a=2\) and \(b=4\). $$\sqrt{b^{2}-8 a}$$

Solve the equation graphically. Check the solutions algebraically. $$ -x^{2}+7 x-10=0 $$

Make a scatter plot of the data. Then name the type of model that best fits the data. $$(-2,2),\left(-1, \frac{5}{2}\right),(0,3),\left(1, \frac{7}{2}\right),(2,4),\left(3, \frac{9}{2}\right)$$

Write in standard form. Use the quadratic formula to solve the equation. $$-x^{2}+4 x=3$$

Decide whether the ordered pair is a solution of the inequality. $$y

Sketch the graph of the function. Label the vertex. $$ y=x^{2}+4 x+7 $$

Simplify the expression. $$\sqrt{90}$$

Solve the equation. If there is no solution, state the reason. $$2 x^{2}-8=0$$

Solve the equation graphically. Check the solutions algebraically. $$ 2 x^{2}+6 x=-4 $$

Make a scatter plot of the data. Then name the type of model that best fits the data. $$ \begin{array}{|c|c|}\hline x & y \\\\\hline 5 & 4 \\\\\hline 0 & -6 \\\\\hline 7 & -6 \\\\\hline-1 & -14 \\\\\hline 6 & 0 \\\\\hline 3 & 6 \\\\\hline\end{array}$$

Write in standard form. Use the quadratic formula to solve the equation. $$4 x^{2}+4 x=-1$$

Decide whether the ordered pair is a solution of the inequality. $$y>4 x^{2}-7 x,(2,-10)$$

Sketch the graph of the function. Label the vertex. $$ y=x^{2}-6 x+8 $$

Simplify the expression. $$\sqrt{125}$$

Solve the equation. If there is no solution, state the reason. $$x^{2}+25=0$$

Solve the equation graphically. Check the solutions algebraically. $$ \frac{1}{3} x^{2}+x-6=0 $$

Make a scatter plot of the data. Then name the type of model that best fits the data. $$\begin{array}{|c|c|}\hline x & y \\\\\hline-1 & 8 \\\\\hline 1 & 2 \\\\\hline-2 & 16 \\\\\hline 3 & 0.5 \\\\\hline 0 & 4 \\\\\hline 2 & 1 \\\\\hline\end{array}$$