Chapter 9

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

Evaluate the expression. Check the results by squaring each root. $$ \pm \sqrt{900} $$

Solve the equation or write no real solution. Write the solutions as integers if possible. Otherwise, write them as radical expressions. $$ y^{2}=0 $$

Find the coordinates of the vertex. Make a table of values, using \(x\) -values to the left and to the right of the vertex. $$ y=6 x^{2}+2 x+4 $$

Use a graph to estimate the solutions of the equation. Check your solutions algebraically. $$-x^{2}-4 x=-5$$

Find the value of \(b^{2}\)- 4ac for the equation. $$4 x^{2}+5 x+1=0$$

Determine whether the equation has two solutions, one solution, or no real solution. \(4 x^{2}-5 x+1=0\)

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

Evaluate the expression. Check the results by squaring each root. $$ \pm \sqrt{49} $$

Solve the equation or write no real solution. Write the solutions as integers if possible. Otherwise, write them as radical expressions. $$ n^{2}=49 $$

Find the coordinates of the vertex. Make a table of values, using \(x\) -values to the left and to the right of the vertex. $$ y=5 x^{2}+10 x+7 $$

Use a graph to estimate the solutions of the equation. Check your solutions algebraically. $$x^{2}+x=2$$

Determine whether the equation has two solutions, one solution, or no real solution. \(-5 x^{2}+6 x-6=0\)

Simplify the expression. $$ \sqrt{132} $$

Evaluate the expression. Check the results by squaring each root. $$ \sqrt{0} $$

Solve the equation or write no real solution. Write the solutions as integers if possible. Otherwise, write them as radical expressions. $$ y^{2}=400 $$

Find the coordinates of the vertex. Make a table of values, using \(x\) -values to the left and to the right of the vertex. $$ y=-4 x^{2}-4 x+8 $$

Use a graph to estimate the solutions of the equation. Check your solutions algebraically. $$-x^{2}-x+6=0$$

Determine whether the equation has two solutions, one solution, or no real solution. \(-\frac{1}{2} x^{2}+x+3=0\)

Simplify the expression. $$ \sqrt{144} $$

Evaluate the expression. Check the results by squaring each root. $$ -\sqrt{256} $$

Solve the equation or write no real solution. Write the solutions as integers if possible. Otherwise, write them as radical expressions. $$ x^{2}=64 $$

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

Find the coordinates of the vertex. Make a table of values, using \(x\) -values to the left and to the right of the vertex. $$ y=-x^{2}+8 x+32 $$

Use a graph to estimate the solutions of the equation. Check your solutions algebraically. $$2 x^{2}-8 x=10$$

Determine whether the equation has two solutions, one solution, or no real solution. \(\frac{1}{4} x^{2}-2 x+4=0\)

Simplify the expression. $$ \sqrt{196} $$

Evaluate the expression. Check the results by squaring each root. $$ -\sqrt{100} $$

Solve the equation or write no real solution. Write the solutions as integers if possible. Otherwise, write them as radical expressions. $$ m^{2}=-9 $$

Sketch the graph of the inequality. $$ y

Find the value of \(b^{2}\)- 4ac for the equation. $$3 x^{2}-5 x-12=0$$

Determine whether the equation has two solutions, one solution, or no real solution. \(5 x^{2}+4 x+\frac{4}{5}=0\)

Simplify the expression. $$ \sqrt{\frac{4}{16}} $$

Evaluate the expression. Check the results by squaring each root. $$ \sqrt{400} $$

Solve the equation or write no real solution. Write the solutions as integers if possible. Otherwise, write them as radical expressions. $$ x^{2}=16 $$

Sketch the graph of the inequality. $$ y \geq x^{2}-5 x $$

Solve the equation algebraically. Check your solutions by graphing. $$2 x^{2}=32$$

Find the value of \(b^{2}\)- 4ac for the equation. $$2 x^{2}+4 x-1=0$$

Simplify the expression. $$ \sqrt{\frac{9}{49}} $$

Evaluate the expression. Check the results by squaring each root. $$ -\sqrt{225} $$

Solve the equation or write no real solution. Write the solutions as integers if possible. Otherwise, write them as radical expressions. $$ 5 x^{2}=500 $$

Sketch the graph of the inequality. $$ y>-x^{2}-3 x-2 $$

Solve the equation algebraically. Check your solutions by graphing. $$4 x^{2}=100$$

Find the value of \(b^{2}\)- 4ac for the equation. $$3 t^{2}-8 t-7=0$$

Consider for quadratic equation \(y=2 x^{2}+6 x-3\). Evaluate the discriminant.

Simplify the expression. $$ \sqrt{\frac{4}{25}} $$

Evaluate the expression. Check the results by squaring each root. $$ \sqrt{121} $$

Solve the equation or write no real solution. Write the solutions as integers if possible. Otherwise, write them as radical expressions. $$ 3 x^{2}=6 $$

Sketch the graph of the inequality. $$ y \leq-x^{2}+3 x+4 $$

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