Chapter 9

Solve each equation using the quadratic formula. Simplify irrational solutions, if possible. $$x^{2}-3 x-18=0$$

Complete the square for binomial. Then factor the resulting perfect square trinomial. \(x^{2}+\frac{1}{2} x\)

Solve each quadratic equation by the square root property. If possible, simplify radicals or rationalize denominators. $$5 x^{2}=20$$

Express each number in terms of i. $$-\sqrt{-28}$$

Evaluate each function at the given values. \(f(x)=x+6\) a. \(f(4)\) b. \(f(-8)\) c. \(f(0)\)

Find the \(x\) -intercepts for the parabola whose equation is given. If the \(x\) -intercepts are irrational numbers, round your answers to the nearest tenth. $$y=x^{2}+8 x+14$$

Solve each equation using the quadratic formula. Simplify irrational solutions, if possible. $$x^{2}-3 x-10=0$$

Complete the square for binomial. Then factor the resulting perfect square trinomial. \(x^{2}+\frac{1}{3} x\)

Solve each quadratic equation by the square root property. If possible, simplify radicals or rationalize denominators. $$3 x^{2}=75$$

Express each number in terms of i. $$-\sqrt{-150}$$

Evaluate each function at the given values. \(f(x)=7 x\) a. \(f(10)\) b. \(f(-4)\) c. \(f(0)\)

Find the \(y\) -intercept for the parabola whose equation is given. $$y=x^{2}-4 x+3$$

Solve each equation using the quadratic formula. Simplify irrational solutions, if possible. $$6 x^{2}-5 x-6=0$$

Complete the square for binomial. Then factor the resulting perfect square trinomial. \(x^{2}-\frac{4}{3} x\)

Solve each quadratic equation by the square root property. If possible, simplify radicals or rationalize denominators. $$4 y^{2}=49$$

Express each number in terms of i. $$7+\sqrt{-16}$$

Evaluate each function at the given values. \(f(x)=9 x\) a. \(f(10)\) b. \(f(-5)\) c. \(f(0)\)

Find the \(y\) -intercept for the parabola whose equation is given. $$y=x^{2}-6 x+5$$

Solve each equation using the quadratic formula. Simplify irrational solutions, if possible. $$9 x^{2}-12 x-5=0$$

Complete the square for binomial. Then factor the resulting perfect square trinomial. \(x^{2}-\frac{4}{5} x\)

Solve each quadratic equation by the square root property. If possible, simplify radicals or rationalize denominators. $$16 y^{2}=25$$

Express each number in terms of i. $$9+\sqrt{-4}$$

Evaluate each function at the given values. \(f(x)=8 x-3\) a. \(f(12)\) b. \(f\left(-\frac{1}{2}\right)\) c. \(f(0)\)

Find the \(y\) -intercept for the parabola whose equation is given. $$y=-x^{2}+8 x-12$$

Solve each equation using the quadratic formula. Simplify irrational solutions, if possible. $$x^{2}-2 x-10=0$$

Solve quadratic equation by completing the square. \(x^{2}+4 x=5\)

Solve each quadratic equation by the square root property. If possible, simplify radicals or rationalize denominators. $$2 x^{2}+1=51$$

Express each number in terms of i. $$10+\sqrt{-3}$$

Evaluate each function at the given values. \(f(x)=6 x-5\) a. \(f(12)\) b. \(f\left(-\frac{1}{2}\right)\) c. \(f(0)\)

Find the \(y\) -intercept for the parabola whose equation is given. $$y=-x^{2}-2 x+3$$

Solve each equation using the quadratic formula. Simplify irrational solutions, if possible. $$x^{2}+6 x-10=0$$

Solve quadratic equation by completing the square. \(x^{2}+6 x=-8\)

Solve each quadratic equation by the square root property. If possible, simplify radicals or rationalize denominators. $$3 x^{2}-1=47$$

Express each number in terms of i. $$5+\sqrt{-5}$$

Evaluate each function at the given values. \(g(x)=x^{2}+3 x\) a. \(g(2)\) b. \(g(-2)\) c. \(g(0)\)

Find the \(y\) -intercept for the parabola whose equation is given. $$y=x^{2}+2 x-4$$

Solve each equation using the quadratic formula. Simplify irrational solutions, if possible. $$x^{2}-x=14$$

Solve quadratic equation by completing the square. \(x^{2}-10 x=-24\)

Solve each quadratic equation by the square root property. If possible, simplify radicals or rationalize denominators. $$3 x^{2}-2=0$$

Express each number in terms of i. $$6-\sqrt{-98}$$

Evaluate each function at the given values. \(g(x)=x^{2}+7 x\) a. \(g(2)\) b. \(g(-2)\) c. \(g(0)\)

Find the \(y\) -intercept for the parabola whose equation is given. $$y=x^{2}+8 x+14$$

Solve each equation using the quadratic formula. Simplify irrational solutions, if possible. $$x^{2}-5 x=10$$

Solve quadratic equation by completing the square. \(x^{2}-2 x=8\)

Solve each quadratic equation by the square root property. If possible, simplify radicals or rationalize denominators. $$3 x^{2}-5=0$$

Express each number in terms of i. $$5-\sqrt{-18}$$

Evaluate each function at the given values. \(h(x)=x^{2}-2 x+3\) a. \(h(4)\) b. \(h(-4)\) c. \(h(0)\)

Find the \(y\) -intercept for the parabola whose equation is given. $$y=x^{2}+6 x$$

Solve each equation using the quadratic formula. Simplify irrational solutions, if possible. $$6 x^{2}+6 x+1=0$$

Solve quadratic equation by completing the square. \(x^{2}-2 x=5\)