Chapter 9
Introductory Algebra for College Students · 392 exercises
Problem 1
Determine whether each relation is a function. Give the domain and range for each relation. $$\\{(1,2),(3,4),(5,5)\\}$$
3 step solution
Problem 1
Determine if the parabola whose equation is given opens upward or downward. $$y=x^{2}-4 x+3$$
2 step solution
Problem 1
Solve each equation using the quadratic formula. Simplify irrational solutions, if possible. $$x^{2}+5 x+6=0$$
4 step solution
Problem 1
Express each number in terms of i. $$\sqrt{-36}$$
4 step solution
Problem 1
Complete the square for binomial. Then factor the resulting perfect square trinomial. \(x^{2}+10 x\)
5 step solution
Problem 1
Solve each quadratic equation by the square root property. If possible, simplify radicals or rationalize denominators. $$x^{2}=16$$
3 step solution
Problem 2
Determine whether each relation is a function. Give the domain and range for each relation. $$\\{(4,5),(6,7),(8,8)\\}$$
3 step solution
Problem 2
Determine if the parabola whose equation is given opens upward or downward. $$y=x^{2}-6 x+5$$
3 step solution
Problem 2
Solve each equation using the quadratic formula. Simplify irrational solutions, if possible. $$x^{2}+7 x+10=0$$
3 step solution
Problem 2
Express each number in terms of i. $$\sqrt{-49}$$
3 step solution
Problem 2
Complete the square for binomial. Then factor the resulting perfect square trinomial. \(x^{2}+12 x\)
3 step solution
Problem 2
Solve each quadratic equation by the square root property. If possible, simplify radicals or rationalize denominators. $$x^{2}=100$$
4 step solution
Problem 3
Determine whether each relation is a function. Give the domain and range for each relation. $$\\{(3,4),(3,5),(4,4),(4,5)\\}$$
3 step solution
Problem 3
Determine if the parabola whose equation is given opens upward or downward. $$y=-2 x^{2}+x+6$$
3 step solution
Problem 3
Solve each equation using the quadratic formula. Simplify irrational solutions, if possible. $$x^{2}+5 x+3=0$$
4 step solution
Problem 3
Express each number in terms of i. $$\sqrt{-13}$$
3 step solution
Problem 3
Solve each quadratic equation by the square root property. If possible, simplify radicals or rationalize denominators. $$y^{2}=81$$
3 step solution
Problem 3
Complete the square for binomial. Then factor the resulting perfect square trinomial. \(x^{2}-2 x\)
3 step solution
Problem 4
Determine whether each relation is a function. Give the domain and range for each relation. $$\\{(5,6),(5,7),(6,6),(6,7)\\}$$
3 step solution
Problem 4
Determine if the parabola whose equation is given opens upward or downward. $$y=-2 x^{2}-4 x+6$$
3 step solution
Problem 4
Solve each equation using the quadratic formula. Simplify irrational solutions, if possible. $$x^{2}+5 x+2=0$$
4 step solution
Problem 4
Complete the square for binomial. Then factor the resulting perfect square trinomial. \(x^{2}-4 x\)
3 step solution
Problem 4
Solve each quadratic equation by the square root property. If possible, simplify radicals or rationalize denominators. $$y^{2}=144$$
2 step solution
Problem 4
Express each number in terms of i. $$\sqrt{-19}$$
2 step solution
Problem 5
Determine whether each relation is a function. Give the domain and range for each relation. $$\\{(-3,-3),(-2,-2),(-1,-1),(0,0)\\}$$
3 step solution
Problem 5
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. $$y=x^{2}-4 x+3$$
4 step solution
Problem 5
Solve each equation using the quadratic formula. Simplify irrational solutions, if possible. $$x^{2}+4 x-6=0$$
4 step solution
Problem 5
Complete the square for binomial. Then factor the resulting perfect square trinomial. \(x^{2}+5 x\)
3 step solution
Problem 5
Solve each quadratic equation by the square root property. If possible, simplify radicals or rationalize denominators. $$x^{2}=7$$
5 step solution
Problem 5
Express each number in terms of i. $$\sqrt{-50}$$
3 step solution
Problem 6
Determine whether each relation is a function. Give the domain and range for each relation. $$[(-7,-7),(-5,-5),(-3,-3),(0,0)]$$
3 step solution
Problem 6
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. $$y=x^{2}-6 x+5$$
3 step solution
Problem 6
Solve each equation using the quadratic formula. Simplify irrational solutions, if possible. $$x^{2}+2 x-4=0$$
4 step solution
Problem 6
Complete the square for binomial. Then factor the resulting perfect square trinomial. \(x^{2}+3 x\)
3 step solution
Problem 6
Solve each quadratic equation by the square root property. If possible, simplify radicals or rationalize denominators. $$x^{2}=13$$
3 step solution
Problem 6
Express each number in terms of i. $$\sqrt{-12}$$
2 step solution
Problem 7
Determine whether each relation is a function. Give the domain and range for each relation. $$\\{(1,4),(1,5),(1,6)\\}$$
3 step solution
Problem 7
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. $$y=-x^{2}+8 x-12$$
3 step solution
Problem 7
Solve each equation using the quadratic formula. Simplify irrational solutions, if possible. $$x^{2}+4 x-7=0$$
3 step solution
Problem 7
Complete the square for binomial. Then factor the resulting perfect square trinomial. \(x^{2}-7 x\)
2 step solution
Problem 7
Solve each quadratic equation by the square root property. If possible, simplify radicals or rationalize denominators. $$x^{2}=50$$
3 step solution
Problem 7
Express each number in terms of i. $$\sqrt{-20}$$
3 step solution
Problem 8
Determine whether each relation is a function. Give the domain and range for each relation. $$\\{(4,1),(5,1),(6,1)\\}$$
3 step solution
Problem 8
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. $$y=-x^{2}-2 x+3$$
3 step solution
Problem 8
Solve each equation using the quadratic formula. Simplify irrational solutions, if possible. $$x^{2}+4 x+1=0$$
6 step solution
Problem 8
Complete the square for binomial. Then factor the resulting perfect square trinomial. \(x^{2}-x\)
3 step solution
Problem 8
Solve each quadratic equation by the square root property. If possible, simplify radicals or rationalize denominators. $$x^{2}=27$$
3 step solution
Problem 8
Express each number in terms of i. $$\sqrt{-300}$$
3 step solution
Problem 9
Evaluate each function at the given values. \(f(x)=x+5\) a. \(f(7)\) b. \(f(-6)\) c. \(f(0)\)
3 step solution
Problem 9
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. $$y=x^{2}+2 x-4$$
5 step solution