Chapter 12

Choose a method and solve the quadratic equation. Explain your choice. $$ x^{2}+2=6 $$

Solve the equation by factoring. $$ -9 x+4=-2 x^{2} $$

Find the product. $$ (6 y-4)(6 y+4) $$

Simplify the radical expression. $$\frac{3 \sqrt{7}}{\sqrt{9}}$$

Simplify the expression. $$ \frac{5}{4 x}+\frac{7}{3 x} $$

Choose a method and solve the quadratic equation. Explain your choice. $$ 2 x^{2}+7 x+3=0 $$

Solve the equation by factoring. $$ 2+3 x^{2}=-5 x $$

Find the product. $$ (3 x+5 y)(3 x-5 y) $$

Simplify the radical expression. $$4 \sqrt{\frac{11}{16}}$$

Simplify the expression. $$ \frac{6 x}{x+1}+\frac{2 x+4}{x+1} $$

Choose a method and solve the quadratic equation. Explain your choice. $$ 2 x^{2}-200=0 $$

Solve the equation using the cross product property. Check your solutions. $$ \frac{2}{x+3}=\frac{1}{x-6} $$

Find the product. $$ (x+7 y)^{2} $$

Use the quadratic formula to solve the equation. If the solution involves radicals, round to the nearest hundredth. $$x^{2}+4 x-8=0$$

Write the fraction as a percent. $$ \frac{2}{5} $$

Choose a method and solve the quadratic equation. Explain your choice. $$ x^{2}-24 x=6 $$

Solve the equation using the cross product property. Check your solutions. $$ \frac{6}{x}=\frac{7}{x-5} $$

Find the product. $$ (2 a-9 b)^{2} $$

Use the quadratic formula to solve the equation. If the solution involves radicals, round to the nearest hundredth. $$x^{2}-6 x+1=0$$

Write the fraction as a percent. $$ \frac{4}{5} $$

Choose a method and solve the quadratic equation. Explain your choice. $$ 3 x^{2}-48=0 $$

Solve the equation using the cross product property. Check your solutions. $$ \frac{7}{x+4}=\frac{2}{x-6} $$

Factor the expression. $$ x^{2}+18 x+81 $$

Write the fraction as a percent. $$ \frac{1}{3} $$

Choose a method and solve the quadratic equation. Explain your choice. $$ x^{2}+3 x+4=1 $$

Find the domain of the function. Then use several values in the domain to make a table of values for the function. $$ y=\sqrt{x}-3 $$

Factor the expression. $$ x^{2}-12 x+36 $$

Use the quadratic formula to solve the equation. If the solution involves radicals, round to the nearest hundredth. $$x^{2}+3 x-1=0$$

Write the fraction as a percent. $$ \frac{9}{10} $$

Choose a method and solve the quadratic equation. Explain your choice. $$ 3 x^{2}+7 x+2=0 $$

Find the domain of the function. Then use several values in the domain to make a table of values for the function. $$ y=\sqrt{x}+4 $$

Factor the expression. $$ 4 x^{2}+28 x+49 $$

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

Write the fraction as a percent. $$ \frac{5}{8} $$

The path of a diver diving from a 10 -foot high diving board is $$ h=-0.44 x^{2}+2.61 x+10 $$ where \(h\) is the height (in feet) of the diver above water and \(x\) is the horizontal distance from the end of the board. How far from the end of the board will the diver enter the water?

Find the domain of the function. Then use several values in the domain to make a table of values for the function. $$ y=6 \sqrt{x} $$

Find the reciprocal of the mixed number. Write your answer in lowest terms. $$ 2 \frac{1}{9} $$

Use the quadratic formula to solve the equation. If the solution involves radicals, round to the nearest hundredth. $$4 x^{2}-6 x+1=0$$

Write the fraction as a percent. $$ \frac{11}{20} $$

Suppose you throw a ball upward from a height of 5 feet and with an initial velocity of 15 feet per second. The vertical motion model \(h=-16 t^{2}+15 t+5\) gives the height \(h\) (in feet) of the ball, where \(t\) is the number of seconds that the ball is in the air. Find the time that it takes for the ball to reach the ground \((h=0)\) after it has been thrown.

Find the domain of the function. Then use several values in the domain to make a table of values for the function. $$ y=11 \sqrt{x} $$

Find the reciprocal of the mixed number. Write your answer in lowest terms. $$ 4 \frac{2}{5} $$

Find the product. $$(x-2)(x+11)$$

Write the fraction as a percent. $$ \frac{4}{100} $$

Which of the following is a solution of the equation \(2 x^{2}+8 x-25=5 ?\) A. \(-\sqrt{19}-2\) B. \(\sqrt{17}-2\) C. \(\sqrt{21}-2\) D. \(\sqrt{17}+1\)

Find the domain of the function. Then use several values in the domain to make a table of values for the function. $$ y=\sqrt{x+3} $$

Find the reciprocal of the mixed number. Write your answer in lowest terms. $$ 1 \frac{3}{10} $$

Find the product. $$(x+4)(3 x-7)$$

Write the fraction as a percent. $$ \frac{9}{25} $$

What term should you add to \(x^{2}-\frac{1}{2} x\) to create a perfect square trinomial? F. \(\frac{1}{2}\) G. \(\frac{1}{4}\) H. \(\frac{1}{16}\) J. \(\frac{1}{32}\)