For a grade: If the solutions to a quadratic equation are -1 and -2, the equation can be written as which of the following equations?

Which of the following is equivalent to $$\frac{\sqrt{10}}{\sqrt{3}}$$  ?

For a grade: Which of the following is equivalent to $$\frac{\sqrt{5}}{\sqrt{2}}$$  ?

A student is solving $$2\left(x-1\right)^2=72$$  . The first thing the student does is divide by 2. They get  $$\left(x-1\right)^2=36$$  . Next, the student will write...

For a grade: A student is solving $$4\left(x+3\right)^2=16$$  . The first thing the student does is divide by 4. They get  $$\left(x+3\right)^2=4$$  . Next, the student will write...

$$18\left(\frac{\sqrt{2}}{\sqrt{12}}\right)$$  is equivalent to which of the following?
I.  $$3\sqrt{6}$$  
II.  $$5\sqrt{6}-2\sqrt{6}$$  
III.  $$\sqrt{54}$$  

For a grade: $$32\left(\frac{\sqrt{5}}{\sqrt{8}}\right)$$  is equivalent to which of the following?
I.  $$8\sqrt{10}$$  
II.  $$2\sqrt{10}+6\sqrt{10}$$  
III.  $$9\sqrt{10}-\sqrt{40}$$  

What are the solutions to $$4\left(x-7\right)^2=64$$  ?

For a grade: What are the solutions to $$3\left(x+2\right)^2=27$$  ?

Which equation has the same solution as  $$x^2+6x+8=0$$  ?

For a grade: Which equation has the same solution as  $$x^2+2x-5=0$$  ?

What are the zeros of the equation below?

Which equation has one real solution?

For a grade: When do equations have one solution?