Chapter 9

Solve the equation algebraically. Check your solutions by graphing. $$4 x^{2}=16$$

Find the value of \(b^{2}\)- 4ac for the equation. $$-8 m^{2}-6 m+3=0$$

Consider for quadratic equation \(y=2 x^{2}+6 x-3\). How many solutions does the equation have?

Simplify the expression. $$ \sqrt{\frac{81}{100}} $$

Evaluate the expression. Check the results by squaring each root. $$ \sqrt{289} $$

Solve the equation or write no real solution. Write the solutions as integers if possible. Otherwise, write them as radical expressions. $$ 5 y^{2}=25 $$

Sketch the graph of the inequality. $$ y>-3 x^{2}-5 x-1 $$

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

Solve the equation algebraically. Check your solutions by graphing. $$x^{2}-11=14$$

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

Consider for quadratic equation \(y=2 x^{2}+6 x-3\). What does the discriminant tell you about the graph of \(y=2 x^{2}+6 x-3 ?\)

Simplify the expression. $$ \sqrt{\frac{36}{25}} $$

Evaluate the expression. Check the results by squaring each root. $$ -\sqrt{1} $$

Solve the equation or write no real solution. Write the solutions as integers if possible. Otherwise, write them as radical expressions. $$ a^{2}+3=12 $$

Sketch the graph of the function. Label the coordinates of the vertex. $$ y=x^{2}+4 x-1 $$

Solve the equation algebraically. Check your solutions by graphing. $$x^{2}-13=36$$

Determine whether the graph of the function will intersect the x-axis in zero, one, or two points. \(y=2 x^{2}+3 x-2\)

Simplify the expression. $$ \sqrt{\frac{7}{9}} $$

Evaluate the expression. Check the results by squaring each root. $$ \pm \sqrt{81} $$

Solve the equation or write no real solution. Write the solutions as integers if possible. Otherwise, write them as radical expressions. $$ x^{2}-7=57 $$

Which ordered pair is not a solution of the inequality \(y \geq 2 x^{2}-7 x-10 ?\) \(\begin{array}{llll}{\text { (A) }(0,-4)} & {\text { (B) }(-1,-1)} & {\text { (C) }(4,-13)} & { \text {(D)} (5,15)}\end{array}\)

Sketch the graph of the function. Label the coordinates of the vertex. $$ y=4 x^{2}+8 x-3 $$

Solve the equation algebraically. Check your solutions by graphing. $$x^{2}-4=12$$

Determine whether the graph of the function will intersect the x-axis in zero, one, or two points. \(y=x^{2}-2 x+4\)

Simplify the expression. $$ \sqrt{\frac{11}{81}} $$

Evaluate the expression. Check the results by squaring each root. $$ \sqrt{169} $$

Solve the equation or write no real solution. Write the solutions as integers if possible. Otherwise, write them as radical expressions. $$ x^{2}+36=0 $$

Choose the statement that is true about the graph of the quadratic inequality \(y<5 x^{2}+6 x+2\). A. Points on the parabola are solutions. B. The vertex is \(\left(-\frac{3}{5}, \frac{1}{5}\right)\) C. The parabola opens down. D. \((0,0)\) is not a solution.

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

Solve the equation algebraically. Check your solutions by graphing. $$x^{2}-53=11$$

Use the quadratic formula to solve the equation. If the solution involves radicals, round to the nearest hundredth. $$4 x^{2}-13 x+3=0$$

Determine whether the graph of the function will intersect the x-axis in zero, one, or two points. \(y=-2 x^{2}+4 x-2\)

Simplify the expression. $$ \sqrt{\frac{5}{4}} $$

Evaluate the expression. Check the results by squaring each root. $$ -\sqrt{625} $$

Solve the equation or write no real solution. Write the solutions as integers if possible. Otherwise, write them as radical expressions. $$ 2 s^{2}-5=27 $$

The variables \(x\) and \(y\) vary directly. Use the given values to write an equation that relates x and y . \(\text { (Lesson } 4.6)\) $$ x=6, y=42 $$

Sketch the graph of the function. Label the coordinates of the vertex. $$ y=3 x^{2}-2 x-1 $$

Solve the equation algebraically. Check your solutions by graphing. $$x^{2}+37=118$$

Use the quadratic formula to solve the equation. If the solution involves radicals, round to the nearest hundredth. $$y^{2}+11 y+10=0$$

Determine whether the graph of the function will intersect the x-axis in zero, one, or two points. \(y=2 x^{2}+2 x+6\)

Simplify the expression. $$ \sqrt{\frac{18}{32}} $$

Determine whether the number is a perfect square. $$ 10 $$

Solve the equation or write no real solution. Write the solutions as integers if possible. Otherwise, write them as radical expressions. $$ 3 x^{2}-75=0 $$

The variables \(x\) and \(y\) vary directly. Use the given values to write an equation that relates x and y .\( \text { (Lesson } 4.6)\) $$ x=-9, y=54 $$

Sketch the graph of the function. Label the coordinates of the vertex. $$ y=2 x^{2}+5 x-3 $$

Solve the equation algebraically. Check your solutions by graphing. $$2 x^{2}-89=9$$

Use the quadratic formula to solve the equation. If the solution involves radicals, round to the nearest hundredth. $$7 x^{2}+8 x+1=0$$

Determine whether the graph of the function will intersect the x-axis in zero, one, or two points. \(y=5 x^{2}+2 x-3\)

Simplify the expression. $$ \sqrt{\frac{27}{36}} $$

Determine whether the number is a perfect square. $$ 81 $$