Quiz about Solving Quadratic Equations by Completing the Squares

Question 1

Which formula do you use to find the "c-value" that makes a quadratic a perfect square trinomial?

Accepted Answer

$$\left(\frac{b}{2}\right)^2$$

Answer

$$b^2-4ac$$

Answer

$$y=x^2$$

Answer

$$\frac{-b}{2a}$$

Question 2

When solving by completing the square: $$x^2-10x-13=0$$ . Which equation is equivalent?

Accepted Answer

$$(x-5)^2=12$$

Answer

$$(x-5)^2=38$$

Answer

$$(x-10)^2=12$$

Answer

$$(x-10)^2=38$$

Question 3

To solve by completing the square: $$x^2+2x+8=16x-16$$ . What is the first step?

Accepted Answer

Move all terms to one side

Answer

Divide by 2

Answer

Subtract 8 from both sides

Answer

Add 16 to both sides

Question 4

What value needs to be placed in the box to complete the square for the expression $$x^2-12x+.........$$ ?

Accepted Answer

36

Answer

6

Answer

-6

Answer

-36

Question 5

If you were solving by completing the square: $$2x^2-16x+30=0.$$ What would be your first step?

Accepted Answer

Divide by 2

Answer

Add 30 to both sides

Answer

Subtract 30 from both sides

Answer

Multiply by 2

Question 6

If $$x^2-16x+70=2x-7$$ is solved by completing the square, an intermediate step would be:

Accepted Answer

$$(x-9)^2=4$$

Answer

$$(x-3)^2=2$$

Answer

$$(x+9)^2=4$$

Answer

$$(x+3)^2=9$$

Question 7

The quadratic equation $$x^2-12x=-7$$ is rewritten in the form $$(x+p)^2=q$$ . What is the value of p?

Accepted Answer

6

Answer

3

Answer

-3

Answer

-6

Question 8

The points at which a parabola intersects the x-axis are the ________________.

Accepted Answer

quadratic roots

Answer

vertex

Answer

axis of symmetry

Answer

asymptotes

Answer

factors

Solving Quadratic Equations by Completing the Squares