Chapter 9

Use a calculator or a table of square roots to evaluate the expression. Round the results to the nearest hundredth. $$ 3 \pm \sqrt{7} $$

Determine whether the ordered pair is a solution of the inequality. $$ y \geq 2 x^{2}-x,(-2,10) $$

Decide whether the parabola opens up or down. $$ y=2 x^{2} $$

Write the equation in standard form. Then use the quadratic formula to solve the equation. $$2=x^{2}-x$$

Find the discriminant of the quadratic equation. \(x^{2}+10=0\)

Simplify the expression. $$ \sqrt{\frac{2}{5}} $$

Use the falling object model, \(h=-16 t^{2}+s .\) Given the initial height \(s\), find the time it would take for the object to reach the ground, disregarding air resistance. Round the result to the nearest tenth. \(s=48\) feet

Use a calculator or a table of square roots to evaluate the expression. Round the results to the nearest hundredth. $$ 2 \pm 4 \sqrt{8} $$

Determine whether the ordered pair is a solution of the inequality. $$ y \leq 3 x^{2}+7,(4,31) $$

Decide whether the parabola opens up or down. $$ y=-5 x^{2} $$

Write the quadratic equation in standard form. $$2 x-x^{2}=1$$

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

Find the discriminant of the quadratic equation. \(5 x^{2}+3 x=12\)

Simplify the expression. $$ 9 \sqrt{\frac{1}{3}} $$

Use the falling object model, \(h=-16 t^{2}+s .\) Given the initial height \(s\), find the time it would take for the object to reach the ground, disregarding air resistance. Round the result to the nearest tenth. \(s=160\) feet

Write the equation in words. $$ \sqrt{625}=25 $$

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

Decide whether the parabola opens up or down. $$ y=-7 x^{2}+5 $$

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

Find the discriminant of the quadratic equation. \(2 x^{2}+8 x=-8\)

Determine whether the radical expression is in simplest form. Explain. $$ \frac{19}{\sqrt{9}} $$

Use the falling object model, \(h=-16 t^{2}+s .\) Given the initial height \(s\), find the time it would take for the object to reach the ground, disregarding air resistance. Round the result to the nearest tenth. \(s=192\) feet

Write the equation in words. $$ \pm \sqrt{16}=\pm 4 $$

Determine whether the ordered pair is a solution of the inequality. $$ y<5 x^{2}+8,(3,45) $$

Decide whether the parabola opens up or down. $$ y=5 x+6 x^{2}-1 $$

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

Find the discriminant of the quadratic equation. \(7-5 x^{2}+9 x=x\)

Determine whether the radical expression is in simplest form. Explain. $$ 3 \sqrt{20} $$

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

Write the equation in words. $$ \pm \sqrt{4}=\pm 2 $$

Determine whether the ordered pair is a solution of the inequality. $$ y>4 x^{2}-7 x,(2,0) $$

Decide whether the parabola opens up or down. $$ y=-8 x^{2}-9 $$

Determine whether the radical expression is in simplest form. Explain. $$ 5 \sqrt{31} $$

Solve the equation or write no real solution. Write the solutions as integers if possible. Otherwise, write them as radical expressions. $$ m^{2}=1 $$

Write the equation in words. $$ \sqrt{225}=15 $$

Determine whether the ordered pair is a solution of the inequality. $$ y \geq x^{2}-13 x,(-1,14) $$

Decide whether the parabola opens up or down. $$ y=3 x^{2}-2 x+7 $$

Write the equation in standard form. Identify the values of a, b, and c. $$-2 t^{2}=-8$$

Find the discriminant of the quadratic equation. \(2 x=x^{2}-x\)

Determine whether the radical expression is in simplest form. Explain. $$ \sqrt{\frac{2}{8}} $$

Solve the equation or write no real solution. Write the solutions as integers if possible. Otherwise, write them as radical expressions. $$ x^{2}=17 $$

Write the equation in words. $$ -\sqrt{121}=-11 $$

Sketch the graph of the function. Plot the given point and determine whether the point lies inside or outside the parabola. $$ \begin{aligned} &y=x^{2}-2 x+5\\\ &A(0,4) \end{aligned} $$

Decide whether the parabola opens up or down. $$ y=-3 x^{2}+24 x $$

Write the equation in standard form. Identify the values of a, b, and c. $$-x^{2}=-5 x+6$$

Find the discriminant of the quadratic equation. \(-2-x^{2}=4 x^{2}\)

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

Solve the equation or write no real solution. Write the solutions as integers if possible. Otherwise, write them as radical expressions. $$ k^{2}=-44 $$

Write the equation in words. $$ -\sqrt{289}=-17 $$

Sketch the graph of the function. Plot the given point and determine whether the point lies inside or outside the parabola. $$ \begin{aligned} &y=-x^{2}+4 x-2\\\ &B(3,-2) \end{aligned} $$